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Volume 17, Number 20,
Issue of October 15, 1997
pp. 7763-7783
Copyright ©1997 Society for Neuroscience
Regulation of Neuroblast Cell-Cycle Kinetics Plays a Crucial Role
in the Generation of Unique Features of Neocortical Areas
Franck Polleux,
Colette Dehay,
Bétrice Moraillon, and
Henry Kennedy
Institut National de la Santé et de la Recherche
Médicale U371-Cerveau et Vision, 69675 BRON Cedex, France
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
FOOTNOTES
APPENDIX
REFERENCES
ABSTRACT
Cortical neurons are generated in the germinal zones lining the
ventricles before migrating predominantly radially. To investigate regional differences in the cell-cycle kinetics of neuroblasts, pulse
[3H]-thymidine injections were made throughout
corticogenesis, and labeled neuron counts were compared in areas 3, 6, 17, and 18a in the adult mouse. The relationship between height in the
cortex and intensity of autoradiographic signal distinguishes first
generation and subsequent generations of neurons. This provides the
mitotic history of defined sets of neurons and is a powerful tool for analyzing areal differences in cell-cycle kinetics. The infragranular laminar labeling indices of different generations show significant differences in areas 3 and 6. The labeling index of first generation neurons shows that the rate of neuron production is higher in area 3 than in area 6. This increased generation rate in area 3 was
accompanied by two major changes. First, computation of the labeling
index of the subsequent generation neurons (which reflects percentages
of precursors in S-phase at the moment of the pulse) indicates a
shorter cell cycle in area 3. Second, the total population of labeled
neurons contains a higher proportion of first generation neurons in
area 3, implying a higher leaving fraction in this area. Computer
simulations of these areal differences of cell-cycle kinetics generate
neuron numbers that are in close agreement with published data.
Altogether these findings reveal an early regionalization of the
ventricular zone that serves to generate unique features of future
cortical areas.
Key words:
cell-cycle dynamics;
corticogenesis;
neocortex;
development;
rodents;
visual, somatosensory, and motor systems;
proliferation;
tritiated thymidine;
modelization
INTRODUCTION
Use of
[3H]-thymidine as an S-phase marker makes it
possible to determine the timing of the final round of mitosis of
cortical neurons (Angevine and Sidman, 1961 ; Rakic, 1976 ; Caviness,
1982 ; Luskin and Shatz, 1985 ; Miller, 1985 ). In the mouse, this shows that the frontoparietal areas 3, 4, and 6 have marked interareal differences in the timetables of layer formation (Polleux et al., 1997 ). The aim of the present study is to determine whether precursors of future cortical areas also differ in their cell-cycle kinetics as
has been shown in the generation of monkey areas 17 and 18 (Dehay et
al., 1993 ). If this were to be the case, then a spatial mosaic of
proliferative programs could be a fundamental feature in the generation
of cortical areas (Rakic, 1988 ).
To investigate the proliferative behavior of neuronal precursors, we
injected an S-phase marker at different fetal stages and examined the
intensity of autoradiographic labeling and the distribution of the
cohorts of labeled neurons in the adult cortex (Schultze et al., 1974 ;
Brückner et al., 1976 ). This makes it possible to describe the
mitotic history of precisely defined neuronal populations (Sidman,
1970 ). This cannot be achieved by S-phase marker studies in the
ventricular zone (Fujita, 1960 ; Waechter and Jaensch, 1972 ; Schmahl,
1983 ; Takahashi et al., 1995 , 1996 ), because such studies will be
measuring the proliferative behavior of a heterogeneous population of
precursors that includes a significant amount of proliferating radial
glial cells (Misson et al., 1988a ,b ; Johnston and van der Kooy, 1989 ;
Gressens et al., 1992 ; Soriano et al., 1995 ).
[3H]-thymidine pulse labeling of cortical
precursors leads to an inside-first outside-last pattern of laminar
histogenesis in the adult cortex (Angevine and Sidman, 1961 ). Each
division after the pulse reduces label in daughter cells so that
quantification of grain counts indicates the successive generations in
the adult cortex (Smart and Smart, 1977 , 1982 ). We have developed an
analytical procedure for identifying labeling threshold criteria that
(1) shows that there is a halving of label at each division and (2) makes it possible to distinguish each of the first five generations. The relative percentages of first (FG) and subsequent generation (SG)
neurons provide a powerful tool for analyzing cell-cycle kinetics of
neuronal precursors. By comparing percentages of labeled neurons we
eliminate the possibility that developmental cell death contributes to
observed areal differences, because labeled and unlabeled neurons share
common rates of cell death. The percentage of FG neurons defines a
generation index that enables us to quantify rates of neuron production
(Rakic, 1973 ; Carter-Dawson and LaVail, 1979 ; Mustari et al., 1979 ;
Reznikov, 1990 ; Valverde et al., 1995 ; Polleux et al., 1997 ). This
shows that area 3 is characterized by a higher rate of neuron
production than area 6 during the generation of infragranular layers.
Proportions of SG neurons enable us to analyze the cell-cycle
parameters that underlie this increased generation rate in area 3. This
shows that it is the consequence of (1) a shorter cell-cycle duration
and (2) more frequent differentiative divisions.
Computer simulations of cortical neurogenesis using the areal
differences in cell-cycle parameters found in the present study generate realistic neuron numbers characterizing frontal and parietal areas. These results suggest that regionalization of proliferative programs in the ventricular zone serves to generate unique features of
cortical areas such as cytoarchitecture.
MATERIALS AND METHODS
Histology and autoradiographic procedure. Ten
timed-pregnant BALB/C mice received a single intraperitoneal injection
of [methyl-3H]-thymidine (Amersham, Braunschweig,
Germany) (specific activity: 25 Ci/mmol, dose-injected, 5 mCi/gm body
weight) at different gestational ages [from embryonic day (E) 11.5 to
E19.5]. All females were put in the presence of males overnight, and
the day when a vaginal plug was found was designated E1. All
[3H]-thymidine injections were performed between
12:00 and 2:00 P.M. to overcome problems linked to circadian variations
of proliferative activity (Miller, 1992 ). Pups were delivered and were
killed at adulthood by a lethal injection (intraperitoneal) of sodium
pentobarbital. Animals were perfused transcardially with a pH 7.4 saline solution [0.9% in 0.1 M phosphate buffer (PB) with
1 g/l Procaine] followed by a solution of 4% paraformaldehyde in 0.1 M PB.
The brains were removed, post-fixed in the same solution for 2 d,
rinsed in running tap water overnight, dehydrated by immersion in
graded ethanol solutions (70-100%), and cleared in toluene. The
brains were embedded in paraffin, cut serially (10 µm), and mounted
on glass slides with a 5% albumin-gelatin mixture. One in six
sections were dewaxed, rehydrated, air-dried, and dipped in
autoradiographic Ilford K2 emulsion (45% in distilled water at
40°C). Sections were stored in a desiccating box for an exposure period of 6-8 weeks (4°C), developed with Ilford PQ Universal (10%,
19°C, 6 min), and fixed with Ilford Ilfospeed (20%, 20°C, 5 min).
The sections were rinsed, air-dried, and counterstained with Cresyl
violet (0.1%, 7-8 min).
Quantification of autoradiographic signal. Exposure time was
adjusted to ensure optimal blackening levels, which minimizes the
problem of fused grains (Dörmer, 1967 ; Rogers, 1967 ; Dörmer and Brinkmann, 1968 ; Dörmer and Möller, 1968 ; Sidman,
1970 ). This is illustrated for individual neurons in different layers of parietal area 3 after injection on E14.5 (Fig.
1). The background level has been
estimated by calculating the density of silver grains in extracellular
space and in all cases was inferior to one grain per 400 µm2 (i.e., much lower than one silver grain per
mean neuronal profile surface ~250 µm2). In the
present study, we consider neurons that present two or more silver
grains over the nucleus as being labeled.
Fig. 1.
Autoradiographic signal on neurons in parietal
area 3 in layer IV (A, B) and layer V (C,
D) after injection on E14.5. A-C, High-power
photomicrographs of labeled neurons showing different autoradiographic
intensities. B-D, Outlines of the cell body and nuclear
profiles showing individual silver grains detected by visual inspection
at different focal depths. Note the low level of autoradiographic
background. Small solid arrow in C: glial cell; open arrows: neurons of interest. Scale bar, 10 µm.
[View Larger Version of this Image (47K GIF file)]
Detailed plots of different categories of labeled cells were made by
means of a light microscope (Dialux 20, Leitz, Wetzlar, Germany)
coupled to an interactive system of plotting (Microvid, Leitz), piloted
by Histovid software (BIOCOM). Radial strips (500 µm wide) of
cytoarchitectonically identified neocortical areas (Polleux et al.,
1997 ) were drawn with a final magnification of 157 using an image
projected on a VGA BARCO screen (CD 233) captured by a CCD COHU camera.
The maximal number of silver grains per nucleus profile was estimated
for each brain. Grains were counted over nuclear profile with a 50×
oil objective and a final magnification of 3140. Grain counts were
corrected for apparent diameter using the Appleton correction (Appleton
et al., 1969 ). This correction is required, because in the case of two
nuclei presenting different diameters and containing the same amount of
labeled tritium, the number of silver grains overlying the small
nucleus is artificially higher than for the large nucleus. This is
because a section of constant thickness will represent a larger
proportion of the total volume of a small nucleus than it does in a
large nucleus (Appleton et al., 1969 ). The correction can be defined
as:
where Ncorr is the corrected number of
silver grains and Nobs is the observed number of
silver grains. Dobs and
DNmax are the equivalent diameters of the
observed nucleus and the nucleus presenting the maximal labeling
intensity, respectively (Appleton et al., 1969 ; Clark et al., 1990 ).
Figure 1 illustrates the important variations of the apparent diameter
of nuclei in different layers and points to the need to correct raw
counts of numbers of silver grains for the diameter to estimate the
labeling intensity characterizing each nucleus. Although the maximal
number of silver grains varies between litters (range, 34-81), this
number is remarkably constant within a given litter (maximum range,
4%). Neurons were distinguished from glial and endothelial cells using
the criteria described by Heumann and Leuba (1983) (see Fig. 1).
Quantification of proportions and radial distributions of
different categories of labeled neurons. Numbers of neurons
showing heavy (FG neurons, >50% maximum labeling) and weak (SG
neurons, <50% maximum labeling) labeling were counted in each layer
in all four areas on two nonadjacent sections in two to three animals. Proportions of FG neurons were estimated with respect to the total number of labeled and unlabeled neurons (T) plotted in 500-µm-wide strips of cytoarchitectonically identified areas (Polleux et al., 1997 ). The labeling index (SG/T) and the generation profiles (ratios of
number of first, second, third, and fourth generation neurons) were
calculated in 200-µm-wide strips.
Except for generation profiles (see below), areal comparisons are
performed between homologous layers and therefore concern cell
populations of comparable dimensions (Beaulieu, 1993 ) so that counts
did not have to be corrected for splitting errors. One possible source
of error is the estimation of the population of unlabeled cells
attributable to incomplete Nissl staining. In the present study,
staining procedure and section thickness ensured optimal staining
(Cooper et al., 1988 ).
The distance of the labeled nucleus from the white matter/gray matter
limit was expressed as a percentage value of the cortical height and
used to quantify the radial distribution of different categories of
labeled neurons. We have used a box (or whisker) plot analysis (Tukey,
1977 ) to quantify the radial distribution of categories of neurons
showing different intensities of labeling. This representation uses
five different centile values [10th, 25th, 50th (the median), 75th,
and 90th centiles]. Each box plot was prepared from the cumulative
labeling over four to eight sections. For a given variable, if the 90th
centile equals 87, it means that only 10% of the measured values are
superior to 87. A nonparametric Kolmogorov-Smirnov test was used to
compare pairs of distributions (i.e., for comparisons made between the
adjacent categories of labeled cells as illustrated in Figs.
2 and 3 or
between first generation vs second, second generation vs third, etc.,
see Fig. 3).
Fig. 2.
Influence of intensity of neuron labeling in area
6 on radial location after an injection of
[3H]-thymidine at E15.5. A, Each
panel shows the radial distribution of a category of labeled neurons
defined by the numbers of silver grains per nucleus. B,
Box plots of intracortical depth of different categories of labeled
neurons. Each numbered group corresponds to a panel in
A. This analysis has been performed on 1377 labeled neurons in six nonadjacent sections taken from two different mice from
the same litter. For each box plot the top and
bottom thick lines indicate, respectively, the 90th and
the 10th centiles. Horizontal lines composing each box
represent the 75th (bottom), 50th (median), and 25th (top) centiles.
Scale bar, 300 µm. Arrows indicate statistically
significant (p < 0.05) thresholds revealed by a Kolmogorov-Smirnov nonparametric test of adjacent distributions. Vertical dashed line: 50%, 25%, 12.5%, and 6.25% of
maximum labeling.
[View Larger Version of this Image (43K GIF file)]
Fig. 3.
Radial location of separate generations after a
single [3H]-thymidine pulse injection.
A, Laminar location of the first four generations of
neurons in area 6. Dots overlying each histogram indicate the radial position of individual neurons that form the 10%
tails of each distribution. Stars indicate the
statistical significance of the comparisons of adjacent distributions
(Kolmogorov-Smirnov nonparametric test: *p < 0.05; **p < 0.01). B, Published
cell-cycle duration indicates theoretical birthdate of each generation
shown in A and is used to rank individual generations in
chronological order. C, Radial deployment of successive
generations in area 3 after injection of
[3H]-thymidine on E16.
[View Larger Version of this Image (1K GIF file)]
The determination of FG/T was based on the quantification of the
autoradiographic labeling intensity of >150,000 neurons in areas 3 and
6 and 130,000 neurons in areas 17 and 18a. SG/T ratios were based on
the quantification of the autoradiographic labeling of 88,000 neurons
in areas 3 and 6 and 60,000 neurons in areas 17 and 18a. Generation
profiles and leaving fraction (LF) were based on 6000 neurons in areas
3 and 6 and 3000 neurons in areas 17 and 18a. Statistical analysis was
performed using Statview 4.02 software. Most of the parameters
described in this study consisted of proportions of neurons, and the
statistical significance of the results was examined by means of a
2 analysis. Variability in proportions from each section
for a given injection (inner group comparisons) was tested and failed to show any statistical significance.
We have elaborated a mathematical model of cortical neurogenesis that
has been programmed as an interface using Matlab software (version
4.2C.1; Mathworks Products). This compartmental model [see Appendix
(Quastler and Sherman, 1959 ; Godfrey, 1983 )] is used to simulate the
dynamics of neuron production during cortical neurogenesis. The model
consists essentially of ordinary differential equations (ODE) in which
time is the independent variable. Matlab provides functions for the
numerical solutions of ODE. These functions use automatic stepsize
Runge-Kutta-Fehlberg integration methods.
RESULTS
Identification of successive generations within the cohort of
neurons labeled by a single pulse makes it possible to define rates of
neuron production and to monitor those changes in cell-cycle parameters
that influence the rate of neuron production.
First is the mode of division. The two daughter cells resulting
from mitosis either can remain proliferative (proliferative division)
or one or both can quit the cell cycle (differentiative division) (Fig.
6A). The higher the frequency of differentiative divisions, the higher the leaving fraction (LF) (Rakic, 1977 ; 1988 ;
Miller, 1988 ; Takahashi et al., 1996 ). In the present study, we detect
areal differences in LF by detecting differences in the ratio of FG to
SG neurons (Rakic and Sidman, 1968 ; Miller, 1988 ).
Fig. 6.
Changes in the labeling index and duration of the
cell cycle. A, Different phases of the cell cycle.
B, Incidence of changes in the length of the cell cycle
on labeling index. S-phase has been shown to remain fairly constant
throughout cortical neurogenesis so that an S-phase marker will label a
high proportion of precursor cells when the cell cycle is short and a
low percentage when it is high. C, Labeling index (SG/T)
in the cortical layer immediately above FG neurons in areas 3 and 6. D, Labeling index (SG/T) in cortical layer immediately
above FG neurons in areas 17 and 18a. E, SG/T in a
restricted zone immediately above the FG neurons. F,
SG/T values obtained in area 3 at E12.5, E15.5, and E16.5 using the
approach illustrated in E. Individual points indicate
values obtained on four nonadjacent sections taken from two animals at each age of injection. At E15.5 and E16.5, there is a significant decrease in SG/T compared with E12.5 in area 3 as shown by the negative
slope of the regression line. This is compatible with the developmental
decrease of labeling indices found at these stages in the ventricular
zone (see text). Statistical analysis: *p < 0.05, according to a 2 analysis.
[View Larger Version of this Image (37K GIF file)]
Second is the duration of the cell cycle (Tc). S-phase is
relatively invariant during cortical neurogenesis, and variations in
the Tc are mostly attributable to G1 modification (Kaufmann, 1968 ; Waechter and Jaensch, 1972 ; Hoshino et al., 1973 ; Schultze et
al., 1974 ; Korr, 1980 ; Schmahl, 1983 ; Miller and Kuhn, 1995 ; Reznikov
and van der Kooy, 1995 ; Takahashi et al., 1995 ). Variations in the
Tc lead to a variation of the percentage of precursors in
S-phase so that after a pulse, short Tc values result in
high labeling indices and long Tc values result in low
labeling indices (Fujita, 1967 ; Waechter and Jaensch, 1972 ) (Fig.
6B). In the present study we can detect variations in
Tc by monitoring changes in the labeling index of SG neurons
(Schultze et al., 1974 ; Brückner et al., 1976 ).
Relationship of intensity of autoradiographic labeling and order
of generation
In the present study we need to reliably determine the threshold
between FG and SG neurons. By identifying each of the first five
generations of labeled neurons after a pulse of
[3H]-thymidine, we are able to show that there is
actually a halving principle at each round of mitosis.
The cohort of labeled neurons that quit the cell cycle during the first
round of mitosis after the [3H]-thymidine pulse
will show maximum levels of labeling (FG neurons). The cohort of
labeled precursors that continue to cycle reduce their radioactivity at
each subsequent round of division (Hughes et al., 1958 ; Appleton et
al., 1969 ; Korr, 1980 ) and give rise to successively weaker labeled
neurons (SG neurons).
Theoretically therefore, the intensity of autoradiographic signal could
provide an indication of the order of generation after a pulse
injection (Bisconte and Marty, 1975b ). A number of artifacts, however,
are liable to blur this distinction. (1) Precursors at the beginning or
end of S-phase at the moment of the pulse have a reduced uptake of the
labeled nucleotide (Fig. 13). This will result in a contingent of FG
neurons being weakly labeled (Bisconte and Marty, 1974 , 1975a ; Gray et
al., 1981 ; Clausen et al., 1985 ; Naito et al., 1987 ). (2) Death of
precursors leads to a liberation of [3H]-thymidine
metabolites that could be available for secondary uptake and labeling
(Feinendegen, 1967 ; Sidman, 1970 ; Korr, 1980 ; Reznikov and van der
Kooy, 1995 ). (3) There are FG neurons with high
[3H]-thymidine uptake that are artifactually
lightly labeled because the nucleus is too deep in the section, thereby
reducing the effective interaction of the radioactive particles with
the surface emulsion layer (Rogers, 1967 ; Sidman, 1970 ). Because the
combined influence of these factors is to artificially increase the
proportion of lightly labeled neurons, we need to examine to what
extent the intensity of labeling effectively distinguishes successive
generations of labeled neurons after a single pulse of
[3H]-thymidine. This involves investigating the
correlation between labeling intensity and the radial position of
labeled neurons in order to establish threshold criteria that optimally
distinguish successive generations of labeled neurons.
Fig. 13.
Simulations of the consequences of (1) cell-cycle
parameters Tc and LF and (2) timetable of layer
production on the dynamics of neuron production in areas 6 and 3. Changes during development in areas 3 and 6 of
(A) Tc, (B)
LF, and (C) dynamics of neuron production (i.e.,
the instantaneous rate of neuron production generated by the parameters
in A and B). D, The
timetable of laminar production in areas 3 and 6 (see Appendix) and the
dynamics of neuron production generate (1) the amplification
(number above each histogram), i.e., the number of
neurons in each area produced by one initial precursor, and (2) within
each area the proportion of neurons in each layer. This simulation
shows that although amplification in both areas is comparable, the
proportion of neurons allocated to each layer is very different in the
two areas. E, Number of neurons under 1 mm2 of pial surface in frontal and parietal cortex
of the newborn rat (Morin and Beaulieu, 1994 ). The simulated values
show a relatively good fit with the published experimental values (see
text).
[View Larger Version of this Image (30K GIF file)]
Pulse injections of [3H]-thymidine at successive
embryonic ages result in a staggered distribution of FG neurons going
from layer VI to layer II (Fig. 4)
(Angevine and Sidman, 1961 ; Rakic, 1976 ; Smart and Smart, 1977 ; Luskin
and Shatz, 1985 ; Bayer and Altman, 1991 ). The inside-first outside-last
gradient of corticogenesis means that the date of birth of a neuron
determines its radial position in the cortex so that the later the
birthdate, the higher the neuron in the cortex.
Fig. 4.
Distribution of FG neurons in frontoparietal
and occipital cortex after injections on embryonic dates spanning the
entire mouse corticogenesis. Each panel represents the FG neurons on one section after injection on the embryonic day indicated, plus the FG
neurons from preceding injections.
[View Larger Version of this Image (29K GIF file)]
For a single injection, we observe a strict relationship between the
radial location of a neuron and the intensity of its autoradiographic
labeling: heavily labeled FG neurons show a restricted radial
distribution and lie at a lower level in the cortex than weakly labeled
SG neurons, which have a more extended distribution (Smart and Smart,
1977 , 1982 ). Within the SG population, the lighter the labeling, the
higher the neuron is in the cortex.
The labeling thresholds that effectively allow the radial separation of
different categories of labeled neurons correspond to the optimal
values for distinguishing rank of generation. This exhaustive analysis
of the relation of labeling density and radial location has been
performed for seven pulse injections at different stages of
corticogenesis.
Figure 2A shows the distribution of autoradiographic
labeling after an injection at E15.5, when neuroblasts destined for
layer VIa are undergoing their final mitosis in the ventricular zone. In this figure, each panel shows the distribution of a single category
of labeling taken from one section. This injection returned a maximum
count of 81 grains per cell. The heaviest labeled neurons ( 56 grains,
panel 1) are largely located in layer VIa, with only three
labeled neurons in layer V. There is a steady increase in the numbers
of labeled layer V neurons in the lighter labeling categories (panels
4-6). Categories with labeling intensities <25
grains per neuron show increasing numbers of labeled neurons, first in
layer IV (panels 7-8) and then in supragranular layers II-III (panels 9-12).
The radial location and dispersion of each category of labeling is
revealed by a box plot analysis (see Materials and Methods). The box
plots (Fig. 2B) show changes in the median height and the other centile values as percentages of the radial thickness of the
cortex. As labeling intensity drops, the radial dispersion increases,
and median height is displaced from the top of layer VIa to the top of
layer V.
The box plot analysis of the E15.5 injections (Fig.
2B) shows that the first four groups have similar
radial locations. Between groups 4 and 5 there is a major and
significant (p < 0.05; Kolmogorov-Smirnov) outward shift in radial location. This corresponds to a shift at the
50% level and defines the threshold that distinguishes FG and SG
neurons. This was a common finding for all seven injections investigated in this way: neurons with >50% of the maximum labeling share a restricted deep radial distribution. At the 50% threshold there is an abrupt shift in the mean radial location, which confirms that FG neurons contain 50% or more of maximum labeling.
The presence of the first threshold at the 50% level suggests that the
intensity of label is halved at each division. This should lead to a
second threshold at the 25%. However, in the labeling pattern shown in
Figure 2B, the second shift occurs at the 32% level,
indicated by an arrow between groups 7 and 8, and not at the predicted
25% levels (dashed line). One possibility is that group 8 (21-25 grains) contains a mixed population of second and third
generation neurons. To determine whether there was a mixed population
of two generations in group 8, we examined the radial distribution of
labeled neurons in this group to see whether neurons with 21-23 and
24-25 grain counts constitute two subpopulations with different median
locations. This was not found to be the case in either the E15.5 or the
E16 injection. This result suggests that there is an uncertainty in the
threshold criteria that concerns 28% at E15.5 and 32% at E16 of the
neurons classified as second generation. A third threshold occurred at the 12.5% level, as the halving principle would predict. This was
found to be the case in six of seven injections. The forth threshold
was found at the predicted 6.25% level in five of seven injections.
The reproducibility of the 50, 12.5, and 6.25% threshold levels in the
seven injections analyzed suggests that at each round of mitosis there
is a halving of the autoradiographic signal. We have compared the
distribution of thresholds with what would be obtained by chance using
a bootstrap analysis (Efron and Tibshirani, 1993 ) programmed with
Matlab (version 4.2C.1). This showed that the observed distribution is
significantly different from that obtained by chance
(p < 10 4); therefore, we
have retained the 25% threshold in all cases.
The fifth generation in the E13.5-E16 injections showed a significant
outward shift in radial location but showed a wide radial distribution,
which undoubtedly reflects that this lightest category includes many
artifactually lightly labeled first to fourth generation neurons.
Therefore we have not used this category for comparison of generation
profiles (see below), although we have used this category for
calculating SG/T (see below).
These results show that using 50, 25, 12.5, and 6.25% of maximum
labeling gives an acceptable segregation of the first five generations.
The reliability of the analysis can be estimated by comparing the
radial positions for different generations obtained for the range of
injections that have been analyzed, and the results in area 6 for the
first four generations are summarized in Figure 3A. On
E13.5, E14.5, E15.5, E16, and E16.5 there is a radial separation for
the successive generations after each injection. Except for the third
and fourth injection at E13.5 and cohorts that leave the ventricular
zone after E18.5, the radial separations were statistically significant
(Fig. 3A). Overall, the radial deployment of successive
generations is progressively restricted during corticogenesis so that
injections at E17.5 and E18.5 return successive generations that are
very tightly grouped. The last round of mitosis during neurogenesis of
the mouse cortex is on E19.3 (Polleux et al., 1997 ), so that the E17.5
injection generates three successive generations and the E18.5 only one
generation.
To compare the radial locations of generations labeled by different
injections, we have used published Tc values to calculate the theoretical embryonic age at which each of the four generations labeled by an injection quit the cell cycle (Fig. 3B). This
analysis shows that there is an appropriate intermeshing of generations from separate injections resulting in a smooth progression of the
median height, so that cohorts that are labeled by different injections
within 6-12 hr return median values that are not separated by
>16-22% of the thickness of the cortex.
Areal differences in rates of neuron production-FG/T
Originally the ratio FG/T (where T equals the total number of
neurons) was defined by Rakic (1973) as a generation rate and subsequently has been used by a number of authors to accurately define
the onset and duration of the formation of a layer as well as to
reflect the rate of layer production (Carter-Dawson and LaVail, 1979 ;
Mustari et al., 1979 ; Reznikov, 1990 ; Valverde et al., 1995 ; Polleux et
al., 1997 ). Because cell death will equally influence labeled and
unlabeled cells, this measure is immune to regional variations of cell
death.
A cortical layer is generated over the time period during which its
neurons undergo their final mitosis in the ventricular zone. Injections
given at closely spaced intervals throughout the generation period will
lead first to an increase and then to a decrease of FG/T neurons in the
cortical layer under consideration.
The onset of corticogenesis occurs simultaneously at E12.5 across the
cortex in occipital and frontoparietal areas and terminates in all
areas shortly after E18.5 (Fig. 4). Up to and including E14.5, all
labeled neurons are confined to infragranular layers. Onset of layer IV
production is at E15.5, and at this age there are noticeably more
labeled neurons in this layer in area 3, 17, and 18a than in area
6.
Cumulative numbers of FG neurons per layer generated between the onset
of corticogenesis and successively later stages are shown in Figure 4.
The number of FG neurons in a layer cumulated over all ages which
contribute to that layer is taken as 100%, so that the increment from
each injection gives a measure of the proportion of that layer which is
generated at the moment of the pulse. These cumulative measures provide
a temporal description of the rate of generation (LaVail et al., 1991 ).
However, areal differences of cumulative FG curves alone would be
influenced by cell death should the rate of cell death be different in
the homologous layers compared in the two areas. The problem of
differential cell death can be overcome by dividing the cumulative FG
measure by T, because larger amounts of cell death in one of the areas will influence similarly FG and T (Fig.
5).
Fig. 5.
Cumulative laminar generation curves (FG/T). The
vertical dotted line indicates age limit (E14.5) before
which FG neurons are limited to infragranular layers and where
differences between generation curves reflect areal differences in the
rate of neuron production (see text). At E14.5, the cumulative FG/T
ratios in both layers VIa and V are significantly different in areas 3 and 6 ( 2 analysis; Table 1).
[View Larger Version of this Image (19K GIF file)]
Cumulative FG/T values were identical for the generation of
supragranular layers of areas 3 and 6 as well as for all layers of
areas 17 and 18a (Table 1).
Throughout the generation of layer VIb, identical values of cumulative
FG/T are returned for the anterior areas 3 and 6 (Fig. 5). In layer
VIb, starting from similar and minimal values, the rate of increase is
significantly faster in frontoparietal areas than in occipital areas.
The dynamics of production of layers VIa and V show a dramatic change.
In both layers, occipital cortex (areas 17 and 18a) returns values that
superimpose on those of area 3, whereas the rate of neuron production
in area 6 is significantly lower than that of areas 3, 17, and 18a
(Table 1).
Recruitment, the extent to which the neuron output for a given age is
dedicated to one or more layers, will influence the curves in Figure 5.
Up to and including E14.5, all FG neurons in all five areas
are committed to the infragranular compartment (layers VIb, VIa, and
V). This result is important because it enables us to eliminate
compensatory recruitment as a factor generating FG/T differences in
areas 3 and 6 during the generation of layers VIa and V. Instead, the
steeper slopes of FG/T in area 3 compared with area 6 during the
generation of layers VIa and V reflect increased rates of neuron
generation. This finding is highly significant because it indicates
that neighboring regions of the ventricular zone generating separate
cortical areas display marked differences in the rate of neuron
production during the production of infragranular layers.
Labeling index (SG/T) and changes in Tc
The fraction of the precursor population that is labeled by a
[3H]-thymidine pulse is determined by
Tc (Fujita, 1967 ; Waechter and Jaensch, 1972 ) (Fig.
6A,B). Assuming a
predominantly homogeneous distribution of Tc, the
subpopulation of precursors labeled by a pulse is determined randomly
by the phase of the cell cycle at the time of injection, and the two
populations of precursors (labeled and unlabeled) will have identical
cycling behavior. All of the progeny of the precursors that incorporate
[3H]-thymidine will be labeled, provided the
number of successive divisions is insufficient to lead to a significant
loss of signal (Bisconte and Marty, 1975a ). Once postmitotic
neuroblasts have migrated to the cortex, it is theoretically possible
to compare the proportions of labeled and unlabeled cells. Proportions
of labeled cells will reflect the proportion of the precursors that were in S-phase at the moment of injection, which in turn reflects Tc (Schultze et al., 1974 ; Brückner et al., 1976 ).
However, one needs to define a neuronal population that is entirely
generated after the injection to be sure that all the unlabeled
cortical neurons are the progeny of those precursors present at the
moment of the injection (and that were not in S-phase) and not cells that underwent their final division before the injection. This is
ensured by counting SG neurons in the cortical layer immediately above
the layer containing FG neurons. In this way, we are assured that all
the neurons of the layer in which neurons are being counted (SG neurons
and unlabeled neurons) underwent their final mitosis subsequent to the
[3H]-thymidine pulse. The labeled precursors will
therefore undergo a variable number of divisions before quitting the
cycle, and their progeny will correspond to the SG neurons in the
cortical layer examined. Under these conditions, the proportion of SG/T truly reflects the proportion of precursors in S-phase at the moment of
the pulse (Schultze et al., 1974 ; Brückner et al., 1976 ). For
these reasons we refer to SG/T as the labeling index, and differences
in the labeling index in two homologous layers will largely reflect
changes of Tc in the two founder populations. Cell death
will influence SG and T similarly and therefore will not contribute to
areal differences in this value.
Within frontoparietal areas, significant differences
(p < 0.05 according to a 2
analysis) were observed in the laminar labeling indices of layers VIb,
VIa, and V (Fig. 6C). This contrasts with the labeling
indices in homologous layers in areas 17 and 18a, which were identical (Fig. 6D).
The SG/T ratios shown in Figure 6C,D fail to show a
significant decrease during corticogenesis. This contradicts studies
showing that during corticogenesis there is a decrease in the labeling index in the ventricular zone that is thought to reflect an increase in
Tc during development (Kaufmann, 1968 ; Waechter and Jaensch, 1972 ; Hoshino et al., 1973 ; Schmahl, 1983 ; Takahashi et al., 1995 ). This discrepancy could be attributable to a differential loss of
signal, which could be more pronounced in the case of early injections,
because they are followed by a large number of cell cycles, and could
be relatively minor in the case of late injections, which are followed
by a smaller number of cell cycles (Bisconte and Marty, 1975a ).
To overcome this problem and to be able to compare changes of
cell-cycle parameters during the generation of early and late generated
layers, we developed an alternative procedure for estimating SG.
Instead of measuring SG in the full thickness of a layer as in Figure
6C,D, we have defined a restricted cortical volume for counting SG neurons immediately above the location of FG neurons. The
height of this compartment was made equal to the radial width of cortex
in which FG neurons are observed and is somewhat thinner than a layer
(Fig. 6E). This analysis of labeling index for early and late stages of corticogenesis has been performed in area 3 (Fig.
6F). At E12.5 the labeling index calculated in this
way is 73%, which is significantly higher than the 59% calculated over the full width of layer V (Fig. 6C). At E15.5 the
labeling index shows a drop to 62% and is close to the 61% value
found at this age when the calculation is made throughout the full
thickness of layers II-III.
To conclude, the use of a restricted box for calculating the SG/T ratio
shows that there is a significant decrease in Tc from E11.5
to E18.5, in agreement with previous authors (Kaufmann, 1968 ; Waechter
and Jaensch, 1972 ; Hoshino et al., 1973 ; Schmahl, 1983 ; Takahashi et
al., 1995 ).
Proportions of FG and SG neurons (generation profiles) and areal
differences in LF
At early stages of neuron production, a majority of divisions are
proliferative and lead to an increase in the precursor pool. As
corticogenesis proceeds, there is a steady increase in the proportion
of differentiative divisions leading to an increase in the LF and a
gradual exhaustion of the precursor pool (Rakic and Sidman, 1968 ;
Rakic, 1977 ; Miller, 1988 ; Takahashi et al., 1996 ). At any given moment
of corticogenesis, the neuron output from the ventricular zone will be
determined by (1) the density of precursors in the ventricular zone,
(2) Tc, and (3) LF. We have shown above that areal
histogenesis is influenced by regional variations in Tc. In
this section, we shall explore the possible contribution of LF to areal
differences in histogenesis.
Theoretically, regions that are generated by pools of precursors
exhibiting different proportions of differentiative and proliferative divisions are expected to show different proportions of first, second,
third, and fourth generations as shown in Figure
7. In this figure, the top row simulates
the consequences of high rates of proliferative division (low LF),
whereas the bottom row explores the consequences of high rates of
differentiative division (high LF). When proliferative divisions
predominate, few first and second generation neurons are generated,
whereas there are large numbers of third and fourth generation neurons.
The converse is true for high rates of differentiative divisions. In
this way, differences in the generation profiles (Fig. 7) are to be
expected when there are significant differences in LF.
Fig. 7.
Influence of the exit behavior of precursors cells
on proportions of successive generations (generation profiles). After
differentiative divisions one or both daughter cells quit the cell
cycle and lead to high proportions of heavily labeled FG neurons
(bottom pathway). After proliferative divisions,
daughter cells remain in the cell cycle, and this leads to low numbers
of FG neurons. During early stages of corticogenesis, when the
proliferative pool is increasing, the percentage of differentiative
divisions is low (top pathway). At later stages, high
rates of differentiative divisions (bottom pathway) lead
to a steady decline in the precursor pool. Ventricular regions
characterized by high rates of differentiative division (i.e., high LF)
lead to large numbers of heavily labeled FG neurons immediately after
the pulse and low numbers of SG neurons. Thus, differences in the ratio
between FG and SG neurons reflect the differences in the rate of
differentiative divisions.
[View Larger Version of this Image (24K GIF file)]
Figure 8 examines the generation profiles
in frontoparietal cortex and occipital cortex. In both frontoparietal
and occipital regions, as corticogenesis proceeds there is a steady
increase in the ratio of FG neurons with respect to all other
generations. This reflects the known increase in LF (Rakic and Sidman,
1968 ; Rakic, 1977 ; Miller, 1988 ; Takahashi et al., 1996 ).
Fig. 8.
Generation profiles for areas 3 and 6 (left) and 17 and 18a (right).
Statistical analysis: *p < 0.05;
**p < 0.01, according to a 2
analysis.
[View Larger Version of this Image (29K GIF file)]
In areas 3 and 6 there were significant differences in the generation
profiles resulting from injections on E14.5 and E16. At E14.5, during
the major phase of production of layers V and VIa, there is a
significant increase in the proportion of FG neurons in area 3 compared
with area 6 that is consistent with a transient relative increase of LF
in area 3 during the production of infragranular layers. At E16, area 3 shows a decrease in the proportion of FG neurons that could reflect a
reduction in LF during the production of layer IV (however, see counter
arguments below).
In occipital cortex there were only small, nonsignificant differences
in the generation profiles of areas 17 and 18a, suggesting that the
mode of cell division is similar in the adjacent ventricular zones
generating these two cortical areas. The changes in the proportions of
FG neurons in areas 17 and 18a are similar to those found in area 3. As
in area 3, there is a transient reduction of FG neurons at E16,
suggesting that this might be a common feature in the generation of
granular cortex. At E17.5, generation profiles are similar in all four
areas so that altogether these results show similar modes of division
at the onset and termination of corticogenesis.
One possibility that needs to be examined is whether differential cell
death in cortical layers could lead to a selective decrease in one or
several of the four generations and thereby bias the generation
profiles. In areas 3 and 6, the injection on E14.5 labels FG neurons
that are destined for layer VIa and second to fourth generations that
in both areas are destined for layers VIa and V in area 6 and layers
VIa-IV in area 3 (Fig. 9A). Hence, differential cell death could contribute to the differences in
the generation profiles. It is possible to overcome this objection by
considering only the first two generations (FG and second generation), which have very similar laminar distributions in the two areas. This
makes it possible to compare the ratios of the first two generations
for both areas separately within layers VIa and V. These ratios are
significantly different in these two areas, as shown in Figure
9B.
Fig. 9.
A, Box plot analysis of the radial
deployment of successive generations in areas 3 and 6 after injection
of [3H]-thymidine on E14.5 (area 3: 599 neurons
obtained in three sections in two animals; area 6: 776 neurons, four
sections, two animals). B, Ratio of the number of FG and
second generation neurons within layer VIa and layer V in areas 6 and
3. Conventions as in Figure 2.
[View Larger Version of this Image (30K GIF file)]
In contrast to the E14.5 injection, the E16 injection leads to a
different laminar deployment of the first two generations in areas 3 and 6, because the FG in area 6 is in layer V and in area 3 it is in
layer IV (Fig. 3A,C). If higher rates of cell death were to
occur in layer IV of area 3 than in layer IV of area 6, then this could
lead to the observed drop in the proportion of FG neurons in layer IV
of area 3 and at least theoretically could create the areal differences
in the generation profiles observed after the E16 injection.
Generation profiles shown in Figure 8 could be very sensitive to small
errors in the estimation of the values for each generation. Hence,
although one can feel confident that there are no differences in the
profiles between areas 17 and 18a, could it be that the differences in
the profiles for areas 3 and 6 are in some way the consequence of an
error in the estimation of successive generations? To examine this
issue, we have defined a LF index as the percentage of silver grains
contained in the FG population with respect to the total number of
grains in the overall population of FG and SG neurons (Fig.
10). This LF index has the advantage of
relying uniquely on the FG/SG threshold, which is extremely robust as we have shown above . Figure 10 shows that at early stages of
corticogenesis, rates of differentiative divisions are minimal, a large
fraction of the injected [3H]-thymidine is
incorporated in precursors that undergo proliferative division, and the
LF index tends to zero. As corticogenesis proceeds, LF indices increase
to maximal values in the final stages (Miller, 1988 ).
Fig. 10.
Comparison of LF characterizing neurogenesis of
areas 3 and 6 (A) and of areas 17 and 18a
(B). The LF has been estimated by the proportion
of silver grains contained in the FG neurons expressed as a percentage
of the number of silver grains contained in all labeled neurons.
Stars refer to statistically significant differences (p < 0.05), according to a
2 analysis.
[View Larger Version of this Image (15K GIF file)]
LF indices for areas 3 and 6 are shown in Figure 10A
and for areas 17 and 18a in Figure 10B. This analysis
confirms that at E14.5, LF in area 3 is higher than in area 6 (p < 0.05; 2 analysis). The
converse is true at E16: no difference is found between areas 17 and
18a. This analysis permits comparison between anterior and posterior
regions. It shows that at E12.5, LF is higher in areas 3 and 6 compared
with areas 17 and 18a, and this would be compatible with the higher
generation rate in the anterior cortex as reflected by the higher FG/T
values at this age (see "Areal differences in rates of neuron
production FG/T").
At the final stages of corticogenesis LF tends to 100%, so that
theoretically one would predict that all labeled neurons would be FG
neurons. In Figure 10 only 37-39% of the label is contained in the FG
neurons at E17.5. To confirm that this is not the consequence of an
error in the estimation of the FG population we have looked at the
distribution of silver grains in labeled precursors in the ventricular
zone 1 hr after a [3H]-thymidine pulse at E14.5
(Fig. 11). Labeled precursors in
S-phase showed a range of numbers of silver grains with a maximum of 80 grains per cell. Only 36% of the labeled precursors contained >50%
of the maximum labeling. This result suggests that the 50% maximum
labeling threshold, which we have used to distinguish FG neurons in the
cortex, will lead to an underestimation and that the maximum observed
value of 37-39% LF index in the cortex is close to the 36% value
observed in the ventricular zone.
Fig. 11.
[3H]-thymidine labeling in
the ventricular zone of presumptive somatosensory motor cortex after
injection at E14.5 with a survival time of 1 hr. A,
Microphotograph of labeling in the S-phase zone. B,
Grain distribution in labeled precursors (300 labeled precursors from
three nonadjacent sections). G1/G2, G1/G2 zone of the
ventricular zone (VZ); M, M-phase zone;
S, S-phase zone; SVZ, subventricular zone. Scale bar, 30 µm.
[View Larger Version of this Image (55K GIF file)]
Cell-cycle parameters are constant throughout single
cortical areas
To directly investigate this issue we have measured SG/T after a
pulse at E12.5 at maximally separated points within each area (Fig.
12A). This shows that
lateromedial separations within areas 6, 3, and 17 all return identical
values for SG/T measured in layer VIa. This contrasts with the values
in areas 3 and 6 that show a significant difference of 13%. Within
area 6 there is a 3% variation and within area 3, a 5% variation.
Nevertheless, when values from the three sites in each area are pooled,
comparison of areas 3 and 6 continues to reveal a significant
difference (Fig. 12B).
Fig. 12.
Comparison of laminar labeling index (SG/T)
within and between areas. SG/T was measured in layer VIa after a pulse
at E12.5. A, Percentages were measured with constant
lateromedial separations at four rostrocaudal positions. Measurements
at rostrocaudal positions within areas failed to show significant
differences, whereas there was a significant 13% difference between
areas 3 and 6. B, Differences between areas 3 and 6 remain significant after pooling the values from all three locations
within each area. Statistical analysis: *p < 0.05, according to a 2 analysis.
[View Larger Version of this Image (23K GIF file)]
Simulations of proliferation program predict the dynamics of neuron
production characterizing areas 6 and 3
We have developed a mathematical model to simulate the roles of
Tc, LF, and the timetable of laminae production in
corticogenesis (see Appendix).
The labeling index reflects the proportion of precursors in S-phase
(Fig. 6B) so that SG/T equals
Ts/Tc, where Ts is the duration of
S-phase. Ts is considered invariant and equals ~6 hr
throughout corticogenesis (Hoshino et al., 1973 ; Schmahl, 1983 ;
Takahashi et al., 1995 ). This means that labeling indices allow one to
calculate theoretical Tc values. These values measured in
both the cortex and the ventricular zones suggest that during
corticogenesis there is a linear increase in Tc duration
(Hoshino et al., 1973 ; Schultze et al., 1974 ; Brückner et al.,
1976 ; Schultze and Korr, 1981 ; Schmahl, 1983 ; Takahashi et al., 1995 ).
The SG/T values obtained in area 3 from E12.5 to E16.5 (Fig.
6F) give the Tc curve shown in Figure
13A. At E11.5 and E12.5,
area 6 precursors showed 22% and 10%, respectively, higher
Tc values compared with area 3 precursors. No significant
difference was found on E14.5 (Fig. 6C).
The developmental change in LF is derived from the LF index (Fig.
10A). Because the maximum LF index that can be
measured in the cortex is 40% of the true value because of the
labeling profile in the ventricular zone, it is first necessary to
normalize to 100% (Fig. 13C). During neurogenesis there is
a progressive increase in the LF (Rakic and Sidman, 1968 ; Rakic, 1977 ;
Miller, 1988 ; Takahashi et al., 1996 ). LF values for area 6 at
different stages show a reasonably linear progression, as reported
elsewhere (Rakic and Sidman, 1968 ; Miller, 1988 ; Takahashi et al.,
1996 ). Compared with area 6, area 3 shows a significant increase at
E14.5 followed by a decrease at E16 (Fig. 10).
The simulation using the theoretical Tc and LF curves
(Fig. 13A,B) generate profiles of neuron production in areas
3 and 6 (Fig. 13C). When neuron output is restricted to
either supra- or infragranular layers so that compensatory recruitment
can be discounted, then and only then can the theoretical curves be
compared with experimentally measured generation rates (FG/T).
The simulation curves show a rate of neuron production that is higher
in area 3 than in area 6 during the formation of infragranular layers
(Fig. 13C). The maximal difference is found on E14.5 (Fig. 13C, dashed vertical line), which is when maximal
differences of the generation index FG/T are found between areas 6 and
3. Up to E14.5, compensatory recruitment can be discounted, and
therefore areal differences in FG/T correspond unambiguously to higher
rates of neuron production in area 3 (Fig. 5). This shows that the
theoretical increased rate of neuron production in area 3 predicted by
the model during the production of infragranular layers agrees closely with our experimental findings. According to this simulation, neuron
production in area 6 transiently exceeds that of area 3 between E15.5
and E16.5. However, because FG neurons at this stage span infra- and
supragranular layers, we would not be able to experimentally detect
this brief increased output of area 6.
There is good correspondence between experimental and simulated values
during the final third of corticogenesis. After E16.5, simulated rates
of neuron generation in areas 3 and 6 are identical. This finding is in
agreement with the experimental findings, which show that FG/T values
in areas 3 and 6 are identical at this age (Polleux et al., 1997 ).
Given that the entire neuron output of the ventricular zone is
dedicated to supragranular layers after E16.5, this means that
compensatory recruitment is null, and under these conditions the
experimental results show that rates of neuron production in the two
areas are identical.
We have applied the timetables of laminar production characterizing
corticogenesis of areas 6 and 3 (see Appendix) to the simulation of
neuron output. This enabled us to estimate the proportion of neurons
allocated to each layer (Fig. 13D). There is no experimental data available concerning numbers of neurons in granular and
supragranular layers before the onset of cell death, but it is
interesting that the simulated proportions are reasonably similar to
those reported in adult areas 6 and 3 (Beaulieu, 1993 ; Skoglund et al.,
1996 ).
Neuron numbers in areas 3 and 6 in newborn rat have been investigated
in stereological studies (Morin and Beaulieu, 1994 ). At birth the
neocortex is not fully formed and consists of an infragranular
compartment and a dense cortical plate, which subsequently differentiates into layers IV, II, and III. Although these authors could not therefore describe the proportions of neurons for each individual layer, they could determine the total number of neurons per
radial unit as well as the proportions of neurons in infragranular layers. This showed that just after the end of cortical neurogenesis, the full thickness of area 6 contains 13% more neurons than does area
3, whereas the simulation predicts 3% more neurons in this area (Fig.
13D,E). Areal differences between the numbers of neurons in
infragranular layers predicted by the model was within 10% of the
experimental values.
To conclude, the simulation of LF and Tc generates profiles
of neuron production for areas 3 and 6 that display areal differences that closely correspond to those found experimentally. The addition of
the timetable of layer production generates numbers of neurons both in
the full thickness of cortex and in infragranular layers that are
within 10% of those found experimentally.
DISCUSSION
In the present study we have compared proportions of different
categories of labeled neurons after injections of
[3H]-thymidine during corticogenesis. Significant
differences were found between the two frontoparietal areas during the
generation of infragranular layers. The differences in FG/T between
areas 3 and 6 show that area 3 is characterized by higher rates of
neuron production during the early stages of corticogenesis. Further analysis of SG/T and the FG/SG ratios indicates that the higher rates
of neuron production are achieved by shorter Tc and higher LF. Modelization of these areal differences in cell-cycle kinetics generates realistic areal differences in numbers of neurons, suggesting that proliferative programs play a significant role in the generation of cortical architectures. These results have important consequences for theories of specification of cortical areas (Rakic, 1988 ; O'Leary,
1989 ).
The ventricular zone contains a heterogeneous population of
multipotential precursors generating radial glial cells, neuronal precursors, and glial precursors (Rakic, 1972 ; Misson et al., 1988a ,b ;
Johnston and van der Kooy, 1989 ; Gressens et al., 1992 ; Grove et al.,
1993 ; Luskin et al., 1993 ; Williams and Price, 1995 ). Studies of the
cell-cycle kinetics based on percentages of labeled precursors observed
in the ventricular and subventricular zones will therefore be
describing a range of proliferative behaviors (Fujita, 1967 ; Kaufmann,
1968 ; Waechter and Jaensch, 1972 ; Hoshino et al., 1973 ; Schmahl, 1983 ;
Takahashi et al., 1995 , 1996 ). A central requirement of the present
study is to selectively determine the proliferative behavior of the
limited population of precursors that at a given fetal stage are
generating cortical neurons. The only available technique that can
adequately achieve this aim is the examination of labeling in the
adult. This is possible because the fetal
[3H]-thymidine pulse labels all precursors in
S-phase, and the two populations of precursors (labeled and unlabeled)
will continue to proliferate and will subsequently maintain proportions
of labeled cells within the differentiated progeny in the adult. This
provides a description of the mitotic history of clearly defined
neuronal populations in the cortex, making it possible to compare the
proliferative behavior of neurons in homologous layers in different
areas (Schultze et al., 1974 ; Rakic, 1976 ; Korr, 1980 ; Schultze and
Korr, 1981 ; Miller, 1988 ). We need to determine how results obtained in
the cortex might be expected to be influenced by cell death and
migration as well as by quantification of labeling. Last we shall
compare our results with quantitative studies both at the level of the cortex and in the ventricular zones.
Cell death
Cell death is known to occur in the developing neocortex,
affecting neuronal precursors in the germinal zones as well as
postmitotic neuroblasts in the cortical plate (Korr, 1980 ; Finlay and
Slattery, 1983 ; Heumann and Leuba, 1983 ; Ferrer et al., 1990 , 1994 ;
Acklin and van der Kooy, 1993 ; Reznikov and van der Kooy, 1995 ;
Spreafico et al., 1995 ; Blaschke et al., 1996 ). The SG/T and FG/T
ratios in a radially restricted layer cannot be artifactually affected by cell death, because this phenomenon will equally affect labeled and
unlabeled cells.
Radial versus tangential migration
Numerous studies have demonstrated that during cortical
development there is radial as well as tangential migration (Rakic, 1972 ; 1988 ; O'Rourke et al., 1992 , 1995 ). The mosaic expression of a
reporter gene in transgenic mice generates strong radial bands (Tan and
Breen, 1993 ; Soriano et al., 1995 ; Tan et al., 1995 ) and has enabled
Rakic (1995) to estimate the maximum contribution of tangential
migration as being no more than 10%. Tangential migration would be
expected to blur areal differences in kinetics of the cell cycle,
suggesting that areal differences in the present report may be, in
fact, an underestimation.
Underestimation of the proportion of FG neurons and overestimation
of SG neurons.
This is principally attributable to (1) labeled progeny of
precursors not being fully in S-phase at the moment of the pulse (Fig.
13) and (2) FG neurons that are too deep in the section to effectively
label the emulsion (Rogers, 1967 ; Sidman, 1970 ). In the present study
laminar proportions of FG and SG neurons are compared between areas so
that artifactual variation in (1) and (2) will be similar in both areas
and will not contribute significantly to the measured differences.
The laminar SG/T ratio is measured before the appearance of any FG
neurons in the layer examined, i.e., before the onset of production of
the layer under consideration. Thus for this ratio, none of the SG
neurons can be artifactually lightly labeled FG neurons.
Comparison with previous findings
Generation profiles and LF index
The only reported numerical value of LF at E15 is 36% (Takahashi
et al., 1994 , 1996 ). This value was obtained in the ventricular zone
generating mouse sensorimotor cortex corresponding to both area 6 and
area 3. In the present study, we obtained a mean LF value of 44% on
E15, which is significantly higher than the 36% reported by Takahashi
et al. (1994 , 1996) . This is exactly what one would predict. The LF
values obtained in the ventricular zone are calculated for a total
population of precursors, including 30% proliferating radial glial
cells and precursors of supragranular layers (Misson et al., 1988a ;
Krushel et al., 1993 ; Williams and Price, 1995 ). The LF in the present
study describes the exiting behavior within the pool of neuronal
precursors that exit within five generations after the pulse.
Labeling indices (SG/T) and cell-cycle duration
In the present study SG/T showed a decrease in value between E12.5
and E16.5, indicating a progressive slowing down of the cell cycle
during development as reported by a number of studies looking at
labeling in the cortex (Schultze et al., 1974 ; Brückner et al.,
1976 ; Korr, 1980 ; Schultze and Korr, 1981 ). Labeling index values
measured in the ventricular zone over the same period also show a
developmental decrease [34-27%, Takahashi et al., (1996) ; 55-42%,
Schmahl (1983) ].
The only factor that could influence the labeling index in the cortex
is loss of signal caused by an excessive number of divisions (Bisconte
and Marty, 1975b ). If this were a problem one would predict that
labeling indices obtained in the cortex would be lower than those
obtained in the ventricular zones. A review of the literature shows
that this is not the case. The labeling indices values of 73% at E12.5
and 60% at E16.5 agree with those reported by others in the cortex
(Schultze et al., 1974 ; Brückner et al., 1976 ). Globally these
values in the cortex are marginally higher than those reported in the
ventricular zone (Fujita, 1963 ; Kaufmann, 1968 ; Waechter and Jaensch,
1972 ; Hoshino et al., 1973 ; Schmahl, 1983 ; Takahashi et al., 1995 ).
To conclude, comparison of labeling indices obtained in the cortex are
relatively immune to major classes of artifacts (Schultze et al., 1974 ;
Korr, 1980 ; Schultze and Korr, 1981 ). Measurements in the ventricular
zone describe the LF and Tc for the overall population of
precursors generating distinct but poorly defined regions of the
cortex. This contrasts with measurement made in the cortex. These
investigations provide more accurate data for restricted neuronal
populations than do observations in the ventricular zone (Schultze et
al., 1974 ; Korr, 1980 ; Schultze and Korr, 1981 ).
Cell cycle heterogeneity
The radial locations of successive generations shown in Figure 3
suggest heterogeneity of Tc in the ventricular zone (Cai et
al., 1997 ). For example, the third generation for the E13.5 injection
shows a small number of neurons in layers III and IV. At this stage,
the average Tc value is ~12 hr in the mouse (Hoshino et
al., 1973 ; Schmahl, 1983 ; Takahashi et al., 1995 ), so that these
neurons supposedly underwent their last round of division at E14.5
(Fig. 3B). The highest number of FG neurons resulting from
an injection at E14.5, however, are located in the upper part of layer
V; none are found in layers III and IV. What is the generation status
of layers III and IV neurons in the third generation on E13.5? One
possibility is that those third generation neurons that are abnormally
high in the cortex actually quit the ventricular zone later than
expected because their Tc was longer than the average value
at the moment of injection. FG neurons are not found at the bottom of
layer III before injections on E16. Therefore the most superficial
neurons of the third generation of the E13.5 injection have undergone
three cell cycles during the 60 hr period (i.e., E13.5-E16) after the
injection, suggesting a cell cycle on the order of 20 hr. This is
considerably longer than the 12 hr for the average value at this age.
Of the 11 instances in which this phenomenon could occur, it was
observed in seven, and it specifically concerned 2.4% of the total
number of labeled neurons.
Regionalization of cell-cycle parameters and
areal specification
In the present study, we show that during production of
infragranular layers there are important areal differences in
Tc and LF. These areal differences are relatively abrupt and
closely linked to areal borders. They are considerably more pronounced than are the rather gentle neurogenic gradients that can be detected across large stretches of cortex (Smart and Smart, 1982 ; Bayer and
Altman, 1991 ; Polleux et al., 1997 ).
Although all of the areas examined initiate and complete corticogenesis
simultaneously, there are important areal differences in the timetable
of layer production (Polleux et al., 1997 ). The simulation of these
results (LF and Tc) shows that regional differences of the
proliferative program generate important variations of laminar neuron
number comparable to those observed just after the end of neurogenesis
(Morin and Beaulieu, 1994 ). This suggests that the proliferative
program plays a major role in regulating proportions of neurons
allocated to each layer, whereas as suggested by Finlay, the final
number of neurons per radial column is adjusted by cell death (Finlay
and Slattery, 1983 ).
The present results show differences within sensorimotor areas as well
as between sensorimotor and visual areas. The apparent absence of
differences between areas 17 and 18a could be attributable to the
visual areas having truly identical kinetics. This would suggest that
these two areas may have identical laminar neuron numbers at birth.
Alternatively, these two areas may exhibit cell-cycle differences that
are too subtle to be detected in our experiments.
Cell-cycle dependent mechanisms have been implicated in the
specification of allocortex (Eagleson et al., 1997 ). McConnell and
colleagues have shown that cell-cell signaling during the final
division specifies laminar fate in the neocortex (McConnell and
Kaznowski, 1991 ; Frantz and McConnell, 1996 ; Bohner et al., 1997 ).
Laminar fate restriction determines the timetable of layer production,
which we have shown is area specific, thereby linking the specification
of cortical areas and layers (Polleux et al., 1997 ). Here we show that
regulation of the parameters of the cell cycle along with the signaling
that McConnell and colleagues have shown specifies the recruitment to a
particular layer play important roles in the generation of unique
features of neocortical areas and are a consistent feature across
mammalian orders (Dehay et al., 1993 ). The role of the cell cycle in
the specification of cortical areas provides further evidence of an
inter-relationship between CNS pattern formation and cell-cycle
regulation (Oppenheim et al., 1989 ; Ross, 1996 ).
FOOTNOTES
Received May 29, 1997; revised July 21, 1997; accepted July 24, 1997.
This work was supported by European Economic Community Grant SCI 622, BIOMED BMH4 CT961604, and Human Frontier Grant RG 55194B. We thank
Christel Merrouche and Pascale Giroud for technical assistance and Ken
Knoblauch for his help with the bootstrap analysis.
Correspondence should be addressed to Dr. Henry Kennedy, Institut
National de la Santé et de la Recherche Médicale
U371-Cerveau et Vision, 18 avenue du doyen Lépine, 69675 BRON
Cedex France. E-mail: kennedy{at}lyon151.inserm.fr
Dr. Polleux's present address: Johns Hopkins University, Department of
Neuroscience, 725 N. Wolfe Street, Baltimore, MD
21205-2185.
APPENDIX
The model of cortical neurogenesis we have elaborated is a
deterministic, compartmentalized model. The use of compartments represents a powerful tool to simulate transitions of cells from one
state to another as a function of time (Quastler and Sherman, 1959 ;
Godfrey, 1983 ). In the ventricular zone, we distinguished two
compartments to simulate progression of precursors through the cell
cycle (Fig. 14). The first compartment
A represents cycling precursors in phases G1, S, or G2, and the second
compartment B represents precursors in M phase when they have to either
leave the cell cycle (defining the leaving fraction, LF) or continue to
progress through the cell cycle (proliferative fraction,
PF = 1 LF). The transition
from compartment A to B is proportional to the duration of the cell
cycle (Tc), and the number of divisions per unit of time
(D) is defined as:
|
(1)
|
where N represents the number of precursors at the
instant t and where k corresponds to division
constant, i.e., the probability for a precursor to divide per unit of
time.
Fig. 14.
Schematic view of the compartments used in our
model of cortical neurogenesis. In the germinal zone
(left) compartment A represents the pool
of precursors progressing through the cell cycle. Compartment B represents precursors at the end of mitosis when they
either have to leave the cell cycle and become postmitotic
(LF) or remain in the cell cycle and return to
compartment B (PF). Transition from compartment A to B is proportional
to the probability for a precursor to undergo mitosis per unit of time
and thus is inversely proportional to the duration of cell cycle
(Tc) (see Appendix). Postmitotic neurons leaving the
ventricular zone end their migration in the cortical plate in one of
three different laminar compartments (C1, C2, or C3) according to
probabilities (pC1, pC2, or
pC3) that have been determined previously (Table 2)
(Polleux et al., 1997 ).
[View Larger Version of this Image (25K GIF file)]
Equation 1 can also be expressed as:
|
(2)
|
where D0 and N0
represent, respectively, the value of D and N at
time 0.
Tc can be defined as the time required for a precursor to go
from one mitotic phase to another but can also be described as the time
needed for a precursor to give rise to two daughter cells (doubling
time). According to the second definition, Tc is equivalent to the period required for the proliferative activity to be doubled. Thus, according to Equation 2 we can write:
|
(3)
|
From this we can extract the value of the constant
k:
|
(4)
|
By definition, postmitotic neurons that constitute the LF cannot
reenter the cell cycle and instead migrate to one of the three laminar
compartments that constitute the neocortex: compartment C1
(infragranular compartment including layers VIb, VIa, and V), compartment C2 (layer IV), and compartment C3 (layers II-III). The
probability (pC1,
pC2, pC3,
respectively) for a neuron to end up in a given laminar compartment is
a function of time, which is defined on the basis of our own
experimental measures of the timetable of laminar production (Table
2). At any given moment pC1 + pC2 + pC3 = 1.
Table 2.
Evolution of the laminar probabilities characterizing areas
6 and 3 neurogenesis
| Embryonic days of tritiated thymidine
injection |
Laminar probabilities (%)
|
Infragranular
|
Layer
IV
|
Supragranular
|
| Area 6 |
Area 3 |
Area 6 |
Area
3 |
Area 6 |
Area 3 |
|
| E12.5 |
100 |
100 |
| E13.5 |
100 |
100
|
| E14 |
100 |
100 |
| E14.5 |
100 |
100
|
| E15.5 |
100 |
95 |
|
5
|
| E16 |
88.9 |
22.6 |
11.1 |
73.6 |
|
3.8
|
| E16.5 |
64.5 |
7.3 |
32.3 |
78.1 |
3.2 |
14.6
|
| E17.5 |
|
|
|
|
100 |
100
|
| E18.5 |
|
|
|
|
100 |
100 |
|
This parameter is defined as the probability for a neuron born on
a given embryonic day in one of three radial compartments: (1)
infragranular compartment (layers VIb + VIa + V), (2) layer IV, and (3) supragranular compartment (layers II and III). For experimental measures, see Polleux et al. (1997) .
|
|
From these considerations, we obtained the following ODE:
Transition from compartment A to B:
|
(5)
|
Transition from compartment B to A:
|
(6)
|
Transition from compartment B to Cx (which represent C1, C2, or
C3):
|
(7)
|
Our simulations always start with an initial number of
precursors in the ventricular zone compartment A
(NA), which equals 1, a number of
precursors in compartment B (NB), and a
number of postmitotic neurons in compartments Cx
(NCx), which both equal 0.
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October 1, 2007;
17(10):
2433 - 2442.
[Abstract]
[Full Text]
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M. Gotz and L. Sommer
Cortical development: the art of generating cell diversity
Development,
August 1, 2005;
132(15):
3327 - 3332.
[Abstract]
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A. Bellion, M. Wassef, and C. Metin
Early Differences in Axonal Outgrowth, Cell Migration and GABAergic Differentiation Properties between the Dorsal and Lateral Cortex
Cereb Cortex,
February 1, 2003;
13(2):
203 - 214.
[Abstract]
[Full Text]
[PDF]
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A. Lukaszewicz, P. Savatier, V. Cortay, H. Kennedy, and C. Dehay
Contrasting Effects of Basic Fibroblast Growth Factor and Neurotrophin 3 on Cell Cycle Kinetics of Mouse Cortical Stem Cells
J. Neurosci.,
August 1, 2002;
22(15):
6610 - 6622.
[Abstract]
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F. Polleux, C. Dehay, A. Goffinet, and H. Kennedy
Pre- and Post-mitotic Events Contribute to the Progressive Acquisition of Area-specific Connectional Fate in the Neocortex
Cereb Cortex,
November 1, 2001;
11(11):
1027 - 1039.
[Abstract]
[Full Text]
[PDF]
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C. Dehay, P. Savatier, V. Cortay, and H. Kennedy
Cell-Cycle Kinetics of Neocortical Precursors Are Influenced by Embryonic Thalamic Axons
J. Neurosci.,
January 1, 2001;
21(1):
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[Abstract]
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T. F. Haydar, F. Wang, M. L. Schwartz, and P. Rakic
Differential Modulation of Proliferation in the Neocortical Ventricular and Subventricular Zones
J. Neurosci.,
August 1, 2000;
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[Abstract]
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J. M. Soria and A. Fairen
Cellular Mosaics in the Rat Marginal Zone Define an Early Neocortical Territorialization
Cereb Cortex,
April 1, 2000;
10(4):
400 - 412.
[Abstract]
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[PDF]
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T. Takahashi, T. Goto, S. Miyama, R. S. Nowakowski, and V. S. Caviness Jr
Sequence of Neuron Origin and Neocortical Laminar Fate: Relation to Cell Cycle of Origin in the Developing Murine Cerebral Wall
J. Neurosci.,
December 1, 1999;
19(23):
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[Abstract]
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J. L.R. Rubenstein, S. Anderson, L. Shi, E. Miyashita-Lin, A. Bulfone, and R. Hevner
Genetic Control of Cortical Regionalization and Connectivity
Cereb Cortex,
September 1, 1999;
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[Abstract]
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[PDF]
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Y. Gitton, M. Cohen-Tannoudji, and M. Wassef
Role of Thalamic Axons in the Expression of H-2Z1, a Mouse Somatosensory Cortex Specific Marker
Cereb Cortex,
September 1, 1999;
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[Abstract]
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[PDF]
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M. J. Donoghue and P. Rakic
Molecular Evidence for the Early Specification of Presumptive Functional Domains in the Embryonic Primate Cerebral Cortex
J. Neurosci.,
July 15, 1999;
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[Abstract]
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M. F. Mehler and J. A. Kessler
Progenitor Cell Biology: Implications for Neural Regeneration
Arch Neurol,
July 1, 1999;
56(7):
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[Abstract]
[Full Text]
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Y. Gitton, M. Cohen-Tannoudji, and M. Wassef
Specification of Somatosensory Area Identity in Cortical Explants
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June 15, 1999;
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[Abstract]
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F. Polleux, C. Dehay, and H. Kennedy
Neurogenesis and Commitment of Corticospinal Neurons in reeler
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