Mathematical Modelling in Life Sciences

poster: Network of interacting neurons with random synaptic weights

speaker: Paolo Grazieschi (University of Warwick)

abstract: The human brain may be modelled as a network of particles interacting among themselves. In this context, the dynamics of the potential of one neuron is described by a jump process which takes into account both the interaction with the other particles and the spiking-resetting behaviour of neurons. In works by Delarue, Inglis, Rubenthaler and Tanré a complete graph has been considered and its solution has been shown to converge to a mean-field limit stochastic differential equation. In the effort of building a more biologically plausible model, we introduce randomness in the interaction terms and we discuss differences and similarities of the newly built models in comparison with the previous one.

timetable:
Wed 13 Sep, 19:01 - 21:00, Corridoio piano terra
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