Applied Math Mathematical Biology Seminar | William Lytton, Neurons and synapses working together happily in brain health; not so happily in brain disease

Tuesday, June 10, 2025 9:30 am - 10:30 am EDT (GMT -04:00)

Location

MC 5501

Speaker

Prof. William Lytton, SUNY Downstate Health Sciences University

Title

Neurons and synapses working together happily in brain health; not so happily in brain disease

Abstract

At first approximation, we currently think of the brain as a set of neurons as nodes connected by directed edges, akin to the mathematical description of an Erdős–Rényi graph model. It is now time to redirect attention on the individual neurons, the massive complex entities that are often a locus of disease progression and may also be an additional locus of computation. I will focus on the role of the cortical corticospinal cell in Parkinson's disease (PD) and in migraine/ischemia. In both cases a class of neuron becomes damaged as an effect of disease: the effect becomes a site for the burgeoning disorder.

More generally, I wish to refocus on cell physiology as a basis of brain function. This will help us to better explain how cell pathology produces dysfunction in neurodegenerative disorders such as Alzheimer's, Parkinson's, and mild cognitive impairment. The roles played by particular neuron types in performing the computations that underlie brain function will provide a new Neuron-based Computational Theory (NCT) to complement and augment the current dominant Synapse-based Computational Theory (SCT), which gave us Hebbian/Hopfieldian cell assemblies reified in modern large-language models (LLMs).