Abstract
Voltage-gated potassium conductances $$mathtex$$g_K$$mathtex$$ play a critical role not only in normal neural function, but also in many neurological disorders and related therapeutic interventions. In particular, in an important animal model of epileptic seizures, 4-aminopyridine (4-AP) administration is thought to induce seizures by reducing $$mathtex$$g_K$$mathtex$$ in cortex and other brain areas. Interestingly, 4-AP has also been useful in the treatment of neurological disorders such as multiple sclerosis (MS) and spinal cord injury, where it is thought to improve action potential propagation in axonal fibers. Here, we examined $$mathtex$$g_K$$mathtex$$ downmodulation in bio-physical models of cortical networks that included different neuron types organized in layers, potassium diffusion in interstitial and larger extracellular spaces, and glial buffering. Our findings are fourfold. First, $$mathtex$$g_K$$mathtex$$ downmodulation in pyramidal and fast-spiking inhibitory interneurons led to differential effects, making the latter much more likely to enter depolarization block. Second, both neuron types showed an increase in the duration and amplitude of action potentials, with more pronounced effects in pyramidal neurons. Third, a sufficiently strong $$mathtex$$g_K$$mathtex$$ reduction dramatically increased network synchrony, resulting in seizure like dynamics. Fourth, we hypothesized that broader action potentials were likely to not only improve their propagation, as in 4-AP therapeutic uses, but also to increase synaptic coupling. Notably, graded synapses incorporating this effect further amplified network synchronization and seizure-like dynamics. Overall, our findings elucidate different effects that $$mathtex$$g_K$$mathtex$$ downmodulation may have in cortical networks, explaining its potential role in both pathological neural dynamics and therapeutic applications.
Significance Statement The modulation of voltage-gated potassium-conductances $$mathtex$$g_K$$mathtex$$ is thought to play an important role in epileptic seizures and therapeutic interventions in epilepsy, multiple sclerosis and spinal-cord injury. We show that $$mathtex$$g_K$$mathtex$$ downmodulation can lead to a cascade of effects including changes in basal excitability, broadening of action potentials resulting in enhanced robustness to synaptic noise perturbations and strengthening of synaptic coupling; and differential effects in excitatory and fast-spiking inhibitory interneurons, promoting depolarization block in the latter under high downmodulation. All these effects synergistically contribute to the emergence of seizure-like dynamics in the form of almost-periodic synchronized neuronal-population spiking in cortical networks. Under appropriate levels, $$mathtex$$g_K$$mathtex$$ downmodula tion can also have therapeutic effects by improving neuronal communication via the broadening of action potentials.
Footnotes
This research was supported by the National Institutes of Health (NIH), National Institute of Neurological Disorders and Stroke (NINDS), grant R01NS079533 (WT), and the Pablo J. Salame Goldman Sachs endowed Associate Professorship of Computational Neuroscience at Brown University (WT). Part of this research was conducted using computational resources and services at the Center for Computation and Visualization, Brown University, supported in part by the NIH grant S10 OD025181. We thank the editors and reviewers for their meticulous reading of the manuscript, and are appreciative of their valuable comments which improved the quality of this work.