Quantifying Dynamics of Synchronization

My research looks at the dynamical behavior of biological neural networks and the model I’m using partially simulated the Pre-Botzinger complex of the brainstem found in mammals that regulates breathing. The neurons in the network rhythmically activate and deactivate together to form a synchronized pattern. The model I created in python plots the 3 different…
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Simplicial Homology & Neural Networks: Abstract

This project merges the mathematical field of algebraic topology with the analytic study of biological neural networks. My approach to this will consist of investigating the algebraic structure of neural networks found in biology and comparing them to different possible networks that do not occur in nature in an effort to discover why biology has…
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