Methods

Research Approaches

Our computational methodology is built on a multi-scale approach, allowing us to investigate neurophysics from the microscopic behavior of individual ion channels up to the macroscopic dynamics of interconnected brain regions. At the cellular scale, we develop conductance-based biophysical models to simulate ion channel stochasticity, membrane noise, and synaptic input statistics. To understand the physical interface between neural tissue and applied electrical therapies, we couple electric field models (including from finite element methods) with morphologically realistic representations of arborized neurons and serpentine axonal geometries. With these in silico efforts,  we can test and optimizing electrode designs, electrical waveforms, and novel stimulation paradigms before they are evaluated in biological  systems.


Scaling up to the systems level, we utilize computational modeling to study how neural information is processed and transmitted across circuits. We construct small-scale, detailed network models to investigate dynamic phenomena such as stochastic resonance, signal fidelity, and t he rules governing memory consolidation. To capture macroscopic population dynamics, we implement multi-region, mean-field formalisms, including Wilson-Cowan architectures. These population models allow us to simulate the complex, interconnected loops of the basal ganglia, thalamus, and cortex, providing a mathematical sandbox in which to replicate the disrupted states of parkinsonism, epilepsy, dystonia, and other disorders. By bridging these computational scales, our simulation pipeline provides a rigorous, highly controllable methodology for decoding disease pathology and prototyping next-generation, closed-loop neuromodulation strategies.