Recovery of synaptic conductance and location using distal voltage measurements
Schoener, Kyle David
Cox, Steven J.
Master of Arts
This study introduces a new mathematical approach for determining synaptic location and synaptic conductance from distal voltage recordings. The ability to comprehend how synapses transmit information provides a better understanding of how the brain functions in terms of learning and memory. While other scientists take a more biological approach to solving this problem, we construct a mathematical method that utilizes the cable equation to describe voltage changes in a passive neural fiber and applies the Laplace Transform, moment methods, and numerical approximations to recover the synaptic parameters. Examples demonstrating the recovery of synaptic location and conductance for a single passive fiber are presented. A comparison of our techniques with existing techniques demonstrates our method's overall effectiveness. We conclude that these results can aid in a better understanding of synaptic transmission which is linked to the formation of memories and neurological disorders such as Huntington's, Parkinson's, and Alzheimer's.
Neurosciences; Mathematics; Biology