Abstract
Human pelvic floor muscles have been shown to operate synergistically with a wide variety of muscles, which has been suggested to be an important contributor to continence and pelvic stability during functional tasks. However, the neural mechanism of pelvic floor muscle synergies remains unknown. Here, we test the hypothesis that activation in motor cortical regions associated with pelvic floor activation are part of the neural substrate for such synergies. We first use electromyographic recordings to extend previous findings and demonstrate that pelvic floor muscles activate synergistically during voluntary activation of gluteal muscles, but not during voluntary activation of finger muscles. We then show, using functional magnetic resonance imaging (fMRI), that a region of the medial wall of the precentral gyrus consistently activates during both voluntary pelvic floor muscle activation and voluntary gluteal activation, but not during voluntary finger activation. We finally confirm, using transcranial magnetic stimulation, that the fMRI-identified medial wall region is likely to generate pelvic floor muscle activation. Thus, muscle synergies of the human male pelvic floor appear to involve activation of motor cortical areas associated with pelvic floor control.
Introduction
There is a large body of literature demonstrating that muscles of the human pelvic floor—that is, muscles of the perineum and rectum that contribute to the control of urination, defecation, and sexual activity—are activated synergistically with nonpelvic floor muscles during functional tasks. For example, pelvic floor muscles (PFM) are active during voluntary activation of abdominal muscles (Sapsford and Hodges, 2001; Madill and McLean, 2008), gluteal muscles (Floyd and Walls, 1953; Bø and Stien, 1994; Peschers et al., 2001), hip adductors (Bø and Stien, 1994), and even during voluntary shoulder flexion or extension (Hodges et al., 2007; Sjödahl et al., 2009). PFM synergies have been suggested to be an important mechanism to promote continence by resisting increased intra-abdominal pressure generated by functional tasks (Junginger et al., 2010).
Despite the potential relevance of PFM synergies to prevalent clinical conditions, including incontinence (Bø and Stien, 1994; Sapsford and Hodges, 2001; Parekh et al., 2003; Ashton-Miller and DeLancey, 2007) and chronic pelvic pain (Doggweiler-Wiygul and Wiygul, 2002; Doggweiler-Wiygul, 2004), the neural centers responsible for these synergies are poorly understood. While many muscle synergies are likely shaped by subcortical connections (Mussa-Ivaldi et al., 1994; Saltiel et al., 2001; Cheung et al., 2009), there is evidence of cortical involvement in structuring muscle synergies (Rathelot and Strick, 2006; Drew et al., 2008; Waters-Metenier et al., 2014). Synergistic pelvic floor activation has been shown to occur in advance of activation in the primary muscles used to complete a task (Sapsford and Hodges, 2001; Hodges et al., 2007), suggesting that PFM activation may be part of a feedforward synergy. Since extensive research has demonstrated the cortical underpinnings of feedforward synergies (Aruin, 2002; Jacobs et al., 2009), we hypothesized that PFM synergies may be associated with activity in specific motor cortical areas that generate PFM activation.
A long line of evidence, dating back to at least Leyton and Sherrington (1917), demonstrates that pelvic floor musculature is represented in the medial wall of the precentral gyrus (Leyton and Sherrington, 1917; Turnbull et al., 1999; Schrum et al., 2011). We hypothesized that, if motor cortex is associated with pelvic muscle synergies, there would be a medial wall region that was active during voluntary pelvic floor activation and voluntary activation of synergists, and that moreover, stimulation of this region would generate pelvic floor activation. Using a combination of electromyographic (EMG) recording, functional magnetic resonance imaging (fMRI), and transcranial magnetic stimulation (TMS), we present data below in support of this hypothesis.
Materials and Methods
Participant population.
We recruited 16 healthy males with a mean age (±SD) of 32.63 ± 5.89 years (range: 24–43 years). Since possible sex differences in the control of PFM have not been fully characterized, we limited our study to a single sex as in previous studies (Seseke et al., 2006; Schrum et al., 2011). Participants were practicing physical therapists or physical therapy students with general knowledge of pelvic floor anatomy and function. The studies we describe here were performed at the University of Southern California and approved by the University of Southern California Institutional Review Board. All participants provided informed consent.
EMG acquisition and analysis.
In 10 participants, we measured muscle activation using EMG to define the characteristics of PFM synergies before performing the same tasks using fMRI to define the neural substrate. We used EMG to verify the previously reported muscle synergy between the PFM and gluteus maximus muscle (GMM) and to establish finger muscle activation as an appropriate control muscle group that does not have synergistic coupling with the PFM muscles (Floyd and Walls, 1953; Bø and Stien, 1994; Peschers et al., 2001). With the participant resting in a supine position inside a mock magnetic resonance imaging (MRI) scanner, we recorded surface EMG data from the right GMM, the PFM, and the right first dorsal interosseous muscle (FDI). We recorded EMG signals from the GMM and FDI with miniature electrode/preamplifiers (DELSYS) with two silver recording surfaces, 5 mm long and 10 mm apart. We recorded an EMG signal from the PFM using a medical-grade rectal EMG sensor (Pathway Rectal EMG Sensor, The Prometheus Group), which provided a bipolar recording from two bar electrodes, 12 mm apart, with dimensions 30 mm by 7 mm, mounted longitudinally along a cylindrical plug-type applicator.
The rectal EMG sensor likely recorded an aggregate signal from the PFM muscles that included the anal sphincter and levator ani, with possible small contributions from more distant muscles such as bulbospongiosus. The EMG preamplifier filters had a bandwidth of 20–450 Hz, with gains of 1000 for GMM and FDI, 10,000 for PFM, and a sampling rate of 2000 Hz. PFM muscle activity has been previously measured using a rectal sensor, and is distinct from GMM surface EMG (Bø and Stien, 1994). Utilizing visual feedback training, it has been previously demonstrated that muscle activity can be recorded from a gluteal surface electrode while maintaining baseline levels of rectal EMG (Hodges et al., 2007), suggesting limited EMG cross talk between these recording sites. We performed an EMG cross-correlation analysis to estimate cross talk between EMG signals from the PFM and GMM during steady periods of GMM contraction using previously established methods (Winter et al., 1994). Cross-correlation of <6% is expected for coactivated antagonist muscles and is considered negligible (Aagaard et al., 2000).
Before the experimental session, we asked participants to empty their bladder. Participants performed separate trials, each of which involved voluntary activation of a different primary muscle group. In PFM trials, we instructed participants to contract their PFM as if to stop the flow of urine. In GMM trials, we instructed participants to isometrically contract their GMM. In FDI trials, we instructed participants to contract their FDI muscle to generate index finger abduction. For all trial types, we first acquired EMG data corresponding to maximal voluntary contraction (MVC). During subsequent trials, participants activated the appropriate muscle group according to an audio tone that ramped up and down in frequency to guide the participant through a smooth activation over a period of 2 s. Each trial consisted of two blocks of 10 activations. Previous studies of brain activity during PFM activation have not used EMG in the scanner (Seseke et al., 2006; Kuhtz-Buschbeck et al., 2007; Schrum et al., 2011). Since we planned to repeat voluntary activation trials in the fMRI scanner without EMG, we instructed participants to produce moderate muscle activation (∼20% effort) to avoid fatigue during the EMG portion of the study that was performed in the mock MRI. This activation was quantified and expressed as percentage MVC (expressed as %MVC).
We analyzed EMG data to first estimate the activation onsets of the primary muscle group of each trial, and then to determine whether significant time-locked activity occurred in EMG signals from the other recorded muscles. To perform this analysis, EMG signals from all recorded muscles were first high-pass filtered at 100 Hz (fourth-order zero-lag Butterworth filter), rectified, low-pass filtered at 30 Hz (Hodges et al., 2007), and then normalized to identically processed EMG data from the maximum activation trial. EMG data were then smoothed with a 500 ms moving average. Activation onsets were defined to occur when the smoothed EMG exceeded 2 SDs of the EMG baseline noise with the muscle at rest. Within each participant, we then defined an EMG transient for each muscle and each trial by averaging the rectified and filtered EMG data across repeated muscle activations within a time window spanning 1 s before to 3 s after the activation onset of the primary muscle for the trial. To define significant EMG magnitude changes, we performed group statistics on the maximum of the EMG transient for muscles of interest within each participant. To define significant temporal shifts between EMG signals, we quantified temporal shifts in each participant by determining the maximum cross-correlation between a pair of EMG transients (normalized to their maximum value).
fMRI acquisition and analysis.
In 14 participants, we measured brain activation associated with the voluntary muscle activation tasks (described above) using fMRI. We used a 3 tesla (GE Signa Excite) with an eight-channel head coil. We positioned participants supine while viewing a fixation crosshair, and placed foam pads to limit head motion. As in previous fMRI studies of PFM activation (Schrum et al., 2011), we collected T2-weighted echo planar image volumes with blood oxygen level-dependent (BOLD) contrast (echo time, 34.5 ms; flip angle, 90°; field of view, 220 mm; pixel size, 3.43 mm) continually every 2.5 s during three imaging runs. Each volume consisted of 37 axial slices (3 mm slice thickness, 0.5 mm interslice gaps) that covered the brain from vertex to cerebellum. We additionally acquired a T1-weighted high-resolution anatomical image from each participant. We cued participants to voluntarily activate each muscle group (to ∼20% effort) in three separate runs—PFM activation run, GMM activation run, and FDI activation run—as described above, with the exception that participants performed additional activation blocks (6 blocks of 10 activations) in the scanner. All 14 participants performed PFM activation runs, 12 participants performed GMM activation runs, and 10 participants performed FDI activation runs.
We preprocessed each participant's fMRI data using the FMRIB (Functional Magnetic Resonance Imaging of the Brain) Expert Analysis Tool (FEAT, http://fsl.fmrib.ox.ac.uk/fsl/fslwiki/), which included skull extraction using the brain extraction tool (BET) in FSL (FMRIB Software Library), slice timing correction, motion correction, and spatial smoothing using a Gaussian kernel with full-width half-maximum of 5 mm and nonlinear high-pass temporal filtering (100 s). We used a general linear model (GLM) to examine the changes in BOLD signal associated with muscle activation for the three tasks. We performed participant-level whole-brain GLM analyses of individual runs in each participant to determine the change in BOLD signal during the activation blocks compared with the rest blocks. We then performed a group-level mixed-effect (FLAME 1 in FSL) analysis, with unpaired two-sided t tests, to identify voxels in standard Montreal Neurological Institute (MNI) coordinates with significant differences in response based on the muscle group being voluntary contracted by the participant. We thresholded group-level images with cluster-based correction for multiple comparisons with Z > 2.3 and p < 0.05. We made inferences about specific Brodmann areas (BA) using the Jülich Histological Atlas within FSL (Eickhoff et al., 2005).
TMS acquisition and analysis.
In eight participants, we obtained motor-evoked potentials (MEP) from the PFM, with participants resting supine, using a single-pulse magnetic stimulator (Magstim 2002, The Magstim Company) with a 110 mm double cone coil. We sampled EMG signal at 16,000 Hz, bandpass filtered at 1–1000 Hz, and amplified at a gain of 9500. Our fMRI findings and previous studies have shown that pelvic floor musculature is represented in the medial wall (Leyton and Sherrington, 1917; Schrum et al., 2011). To localize the PFM representation in the anterior–posterior direction, we stimulated along the midline. We identified a participant-specific midline and central sulcus location by registering the participant's head with their T1-weighted 3D high-resolution anatomical image using Brainsight Frameless (Rogue Research). We then used Brainsight to guide the TMS coil position to the midline and to record anterior–posterior position in MNI coordinates. We applied stimulations at seven to nine locations (based on the shape and size of participant's head), 1 cm apart, with the most posterior location at 2 cm posterior of the central sulcus. This led to the stimulation locations to lie between −60 and 20 mm, along the anterior–posterior direction in MNI coordinates, across all the participants. To select an appropriate stimulus intensity for each participant, we inspected the average PFM EMG signal in response to seven pulses at each of several sites within 2 cm of central sulcus, and selected the stimulus intensity as the minimum intensity to evoke a clearly distinguishable MEP (Tsao et al., 2008). We used average response to obtain pelvic MEPs because the PFM are active even during rest, which makes it difficult to detect a small response to TMS (Mills and Nithi, 1997).
We calculated the MEP magnitude as the peak-to-peak magnitude of the average MEP in the time window of 10 to 100 ms after TMS pulse onset (Pelliccioni et al., 1997; Turnbull et al., 1999; Lefaucheur, 2005). To compare among participants, we normalized MEP magnitudes with respect to the maximum MEP magnitude within each participant. For statistical analysis, we divided the stimulation locations into three location bins (posterior, middle, and anterior) along the midline. We selected the bin edges to make the middle region correspond with the precentral gyrus as defined by the Harvard–Oxford Cortical Structural Atlas in FSL. We defined the middle region by identifying the most posterior and most anterior coronal slice that contained no voxels with nonzero probability of belonging to the precentral gyrus. Therefore, we defined stimulation locations as those in the following ranges: posterior y = −60 to −38 mm, middle y = −38 to −12 mm, and anterior y = −12 to 20 mm. We performed a one-way ANOVA of the MEP magnitude using the factor of location bin.
Results
Using recordings from the PFM, GMM, and FDI (Fig. 1A), we found that PFM activity is synergistically coupled with GMM activity, and that PFM synergistic coupling did not exist for distal extremity muscles such as the FDI. We found cross-correlation between PFM and GMM surface EMG electrodes was 3.20 ± 0.57% across participants. Example recordings from a single participant shows that during repeated activation of the PFM, the GMM remained inactive (Fig. 1B). However, when the participant repeatedly activated the GMM, the PFM activated in a synchronous fashion (Fig. 1B). Group data of EMG transients time-locked to activation of the primary muscle demonstrated that we consistently observed this synergistic coupling of the PFM across the study population (Fig. 1C). PFM was activated during voluntary activation of the PFM and voluntary activation of the GMM, but not during voluntary activation of the FDI. A correlation analysis of PFM activity as a function of GMM activity during GMM tasks revealed a slight positive correlation, which did not reach statistical significance across the participants we studied (slope = 0.2694 with 95% confidence interval of −0.00091 to 0.5398). All participants voluntarily activated their muscles, as instructed, to moderate levels. On average, participants activated PFM to 34% of MVC, the GMM to 13% of MVC, and the FDI to 15% of MVC. Importantly, while GMM and FDI activation did not significantly differ across participants (paired t test, p = 0.40), PFM activation reached an average of 26% of MVC during voluntary GMM activation, which was significantly greater than PFM activation during voluntary FDI activation (paired t test, p = 0.005) (Fig. 1D). We observed that PFM activation occurred in advance of GMM activation during voluntary GMM activation (Fig. 1E). Cross-correlating the average EMG transient from the PFM and from the GMM during voluntary GMM activation, we found that activation in PFM led GMM activation by an average of 128 ms, which was significantly greater than 0 (maximum of 239.5 ms and minimum of 30.5 ms, t test, p = 0.001).
Using fMRI data collected while participants performed muscle activation tasks identical to those described above (Fig. 2A), we found that a region of the medial wall of the precentral gyrus was activated during voluntary PFM activation and voluntary GMM activation, but not during voluntary FDI activation. We used FDI activation as a reference task in fMRI analysis because the EMG results showed that there was neither PFM nor GMM muscle activation during voluntary FDI activation. As expected, the contrast of FDI activation greater than PFM activation produced significant brain activity primarily in left sensorimotor cortex (Fig. 2B), as the participant activated the right FDI. Also, as expected, the contrast of PFM activation greater than FDI activation produced significant activity in the medial wall of the precentral gyrus (Fig. 2C). Surprisingly, the contrast of GMM activation greater than FDI activation, which EMG data suggest contains increased GMM activation and increased PFM activation, also produced significant activation in the medial wall of the precentral gyrus (Fig. 2D). We found a region of the medial wall of the precentral gyrus that exhibited significant brain activation for both voluntary PFM activation and voluntary GMM activation compared with FDI activation (Fig. 2E).
Using MEP data generated by application of TMS along the midline of the participant's brain (Fig. 3A), we verified that medial wall of the precentral gyrus, identified using fMRI to be active during both PFM activation and GMM activation, is likely associated with PFM activation. Example data from one participant illustrates the findings (Fig. 3B). Stimulation over anterior points of the midline over frontal cortex did not produce an MEP in the PFM, but stimulation over the precentral gyrus at the same stimulus intensity produced an MEP in the PFM at a latency of 23 ms. In this participant, the relative magnitude of the MEP in the PFM peaked at an MNI coordinate at approximately −20 mm. The locations where we applied stimulation across all participants were confined over the midline, and were divided into posterior, middle (precentral gyrus), and anterior bins (Fig. 3C). We observed that there was a significant main effect of bin location on PFM MEP magnitude, F(2,21) = 7.95, p = 0.003. A post hoc multiple-comparisons test with Bonferroni correction (p < 0.05) indicated that MEPs corresponding to the middle bin were significantly greater than either the posterior bin (p = 0.001) or anterior bin (p = 0.016) (Fig. 3D). Viewing the stimulation points and the medial wall together demonstrated that stimulation points that we classified as precentral gyrus were above the fMRI-identified region of brain activation overlap for both voluntary PFM activation and voluntary GMM activation (Fig. 3E).
We found that the brain region with overlapping activation during both voluntary PFM and voluntary GMM activation (Fig. 3E) contained contributions from both primary motor cortex (BA 4) and supplementary motor area (SMA; BA 6) (Fig. 4), adding additional support to the likely motor involvement of this overlap region. We found that 36.0% of overlapping voxels were most likely BA 4, 22.3% were most likely primary somatosensory cortex (BA 1–3), 15.9% were most likely BA 6, 14.8% were superior parietal lobule (BA 5), and 10.9% were most likely corticospinal tract. The foci of peak activation in the overlap region for PFM activation and GMM activation were 4.9 mm apart in primary motor cortex and 2.9 mm apart in SMA (Table 1).
Discussion
Our results indicate that motor areas of the cerebral cortex may be associated with the synergistic activation of the pelvic floor that has been shown to accompany voluntary activation of hip and trunk muscles (Bø and Stien, 1994; Hodges et al., 2007). The cortical area associated with this pelvic floor activation is the medial wall of the precentral gyrus, consistent with previous motor cortex stimulation studies in both animals and humans (Leyton and Sherrington, 1917; Turnbull et al., 1999). More specifically, this identified region in the medial wall appears to contain a clear contribution from both BA 6 (SMA) and BA 4 [primary motor cortex (M1)].
Numerous previous studies have demonstrated the importance of SMA during voluntary activation of the pelvic floor (Blok et al., 1997; Zhang et al., 2005; Seseke et al., 2006; Schrum et al., 2011). The SMA is generally thought to be involved in higher-order organization and preparation of voluntary movement (Cunnington et al., 1996). SMA has functionally and neuroanatomically distinct regions; for example, an anterior portion known as the pre-SMA and a posterior portion known as the SMA proper (Luppino et al., 1993; Rizzolatti et al., 1996). The SMA proper contains direct corticospinal neurons (Dum and Strick, 1996) and has been shown to be involved in movement execution similar to the primary motor cortex (Macpherson et al., 1982; Picard and Strick, 1996; Boecker et al., 1998; Lee et al., 1999). Pre-SMA is thought to be more involved with motor planning associated with self-initiated tasks, and may be active even during motor imagery in the absence of movement execution (Tyszka et al., 1994; Stephan et al., 1995; Deiber et al., 1999; Cunnington et al., 2002). Our cortical mapping results of the PFM appear to coincide with SMA proper.
To our knowledge, there has been relatively little discussion regarding the functional interpretation of why the pelvic floor would have a relatively strong representation in SMA. As in previous studies of pelvic floor muscle synergies, our findings support that PFM activation occurs before the primary muscle of the task. Data from a variety of approaches, including electroencephalography and fMRI, suggest that SMA activity precedes primary motor cortical activity during voluntary motor tasks (Ball et al., 1999; Soon et al., 2008; Bortoletto and Cunnington, 2010). We suggest that the SMA representation of the pelvic floor is part of the neural substrate associated with the feedforward pelvic floor activation in advance of hip and trunk muscles, as we and others have shown (Hodges et al., 2007; Sjödahl et al., 2009). If this suggestion is correct, circuits within SMA may be involved in evaluating the demands of the voluntary motor task at hand and activating the pelvic floor in preparation if necessary (as in the case of gluteal activation) or unnecessary (as in the case of voluntary finger muscle activation).
Our results are therefore consistent with suspected involvement of SMA in feedforward muscle synergies underlying postural control. Patients with SMA lesions exhibit impairments in anticipatory muscle activation (Viallet et al., 1992). Neuroimaging in healthy controls suggest there is SMA activation associated with performing anticipatory postural adjustments (APA) (Ng et al., 2012). Additionally, repetitive TMS of SMA has been shown to affect the timing of APA in both healthy controls and patients with Parkinson's disease (Jacobs et al., 2009). It has been previously suggested that PFM synergies may be part of an APA when perturbations to abdominal pressure are predictable (Hodges et al., 2007); our work critically defines a neural substrate that may underlie these adjustments in pelvic floor muscle activation.
One limitation of our study is that the PFM are not a single muscle group, but are in fact a complex set of multiple muscles with different mechanical actions that may function together or independently, based on the task (Bharucha, 2006; Stafford et al., 2012). Whereas our results demonstrate cortical activation that is associated with muscle activity as recorded at the anal sphincter, future studies will be required to define exactly which combination of PFM operate synergistically for different tasks. It is possible that PFM operate with each other in the same combination during synergies with non-PFM as they do during voluntary PFM contraction, or conversely, PFM synergies may only recruit specific subsets of the PFM to maintain continence with minimal muscle effort. We also limited our study to a low narrow range of GMM activation intensities, which necessitates future studies to define the scaling properties of muscle synergies between the PFM and GMM. Previous studies investigating PFM synergies with the abdominal muscles have shown an increase in PFM activity with an increase in abdominal muscle activity (Sjödahl et al., 2009; Junginger et al., 2010).
Here we have shown that a motor cortical region that generates PFM contraction is active during synergistic activation of the pelvic floor. Our current study conclusions are limited in scope because we have not yet established that PFM synergies are cortically structured. Previous work has hypothesized that certain muscle synergies could be structured at a cortical level (Rathelot and Strick, 2006). Cortical structuring of PFM synergies would imply that activation of the medial wall motor cortical area identified in this study causes the PFM synergy. At present, we do not know the extent of subcortical involvement in the PFM synergy. For example, it is known that there are centers in the pons that facilitate PFM activity in subconscious control of urination (Fowler et al., 2008), but we do not currently know their contribution to the identified PFM synergies. It is possible that the cortical representation of the GMM (or other muscle group synergistic with the PFM) sends projections to subcortical centers that structure the PFM synergy, and that the medial wall region we identified contributes to, but does not cause, the PFM synergy. The medial wall region associated with PFM activation identified in our study is part of more rostral M1 and thus less likely to have direct connections to spinal motoneuronal pools compared with more caudal M1 (Rathelot and Strick, 2009). We therefore hypothesize that synergistic coupling among individual pelvic floor muscles is structured at the subcortical level, but the synergistic coupling between the pelvic floor and other muscle groups (e.g., GMM) may be structured by cortical connections. Future experiments, including repetitive TMS downregulation (Jacobs et al., 2009) of medial wall regions that activate the PFM, as well as expanded TMS mapping of PFM activation at cortical locations that activate synergistic muscles (e.g., gluteal, abdominal, shoulder), will be necessary to determine whether the medial wall motor cortical activation identified in the current work indeed reflects cortical structuring of the PFM synergy.
Finally, our results have important clinical implications for understanding motor cortical mechanisms of chronic pelvic pain. It was recently shown that women with the prevalent condition of interstitial cystitis/painful bladder syndrome (IC/PBS) have significant changes in resting state neural activity, compared with healthy controls, in areas of the medial wall of SMA (Kilpatrick et al., 2014). The precise function of this region was not investigated in these patients, but the authors interpreted the results in the context of possible motor control mechanisms contributing to the condition (Butrick, 2009a,b). The results of our present study are from a male population, but major sex differences in the cortical control of the pelvic floor are not immediately suspected (Seseke et al., 2006). The motor cortical region we have identified to be associated with PFM activation clearly overlaps with the coordinates reported for patient-specific alterations in IC/PBS. Therefore, our results may suggest that changes in motor cortical areas that influence pelvic floor motor neuron pools may play a critical role in IC/PBS pathophysiology.
Footnotes
The contents of this research paper were developed in part under support from the USC Division of Biokinesiology and Physical Therapy, Loma Linda University Physical Therapy Department, and National Center for Medical Rehabilitation Research of the National Institutes of Health under award number T32 HD064578. Its publications are solely the responsibility of the authors and do not necessarily represent the official views of the National Institutes of Health. We thank Dr. Ya-Yun Lee for assistance with protocol development, and all of the research participants for their time.
The authors declare no competing financial interests.
- Correspondence should be addressed to Jason J. Kutch, University of Southern California, 1540 E. Alcazar Street, CHP 155, Los Angeles, CA 90033. kutch{at}usc.edu