El proper dimecres, 13 de gener, se celebrarà una nova xerrada —en format virtual— del Seminari Informal de Matemàtiques de Barcelona (SIMBa).

Speaker: Rosalba García Millán
Universitat: Imperial College London.

Data: Wednesday, January 13th, 2021.
Hora: 12:00,virtual coffee break; 12:20, talk.
Lloc: Zoom (the link will be posted on our website).
Idioma: English.

Títol: Time-dependent branching processes: a model of oscillating neuronalavalanches.
Resum: Recently, neuronal avalanches have been observed to display oscilla-tions, a phenomenon regarded as the co-existence of a scale-free be-haviour (the avalanches close to criticality) and scale-dependent dy-namics (the oscillations). Ordinary continuous-time branching pro-cesses with constant extinction and branching rates are commonly usedas models of neuronal activity, yet they lack any such time-dependence.In my talk, I will show how we extended a basic branching process byallowing the extinction rate to oscillate in time as a new model to de-scribe cortical dynamics. I will discuss about some observables, suchas the avalanche shape, that we calculated in closed form by meansof a perturbative field theory, and compared to available experimentalresults.

 

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