Matching Items (1)
Filtering by

Clear all filters

132089-Thumbnail Image.png

Mathematical Modeling of Neuron and Network Dynamics

Description
The Morris-Lecar two-dimensional conductance-based model for an excitable membrane can be used to simulate neurons, and these neuron models can be connected to model neuronal networks. In this work, we analyze the dynamics of the Morris-Lecar model using phase plane analysis, and we simulate the model with different parameter regimes.…

The Morris-Lecar two-dimensional conductance-based model for an excitable membrane can be used to simulate neurons, and these neuron models can be connected to model neuronal networks. In this work, we analyze the dynamics of the Morris-Lecar model using phase plane analysis, and we simulate the model with different parameter regimes. We also develop and simulate a two-cell model network, as well as larger networks composed of 17 cells. We show that the bifurcation type and the parameters for the synaptic connections between model neurons affect the model network dynamic behavior. In particular, we look at the synchronization of networks of identical, repetitively firing neurons.
ContributorsSchlichting, Nicolas Jordan (Author) / Crook, Dr. Sharon (Thesis director) / Baer, Dr. Steven (Committee member) / School of Mathematical and Statistical Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2019-12