I thought it could be fun to discuss to what extent a dynamic topological model of neuronal structure, molecular cell biology, and function can capture and predict interesting neurobiology, including aspects of the computation that occurs as synaptic inputs interact to modulate activity. If the nascent ideas seem sensible and stimulating for this brainy bunch then I’ll recruit collaborators to formalize and develop them.

I’ll start off by reviewing basic neuron structure, which I’ll summarize by deforming the neuron into the sphere (S2). Then we’ll work together to map various functional domains onto the sphere, and consider whether Lisbeth Fajstrup’s directed topology ideas can be morphed to map interacting synaptic 'programs'.