Synopsis
1 Introduction to stochastic models in biology.- 2 One-dimensional homogeneous diffusions.- 3 A brief introduction to large deviations theory.- 4 Some numerical methods for rare events simulation and analysis.- 5 Stochastic Integrate and Fire models: a review on mathematical methods and their applications.- 6 Stochastic partial differential equations in Neurobiology: linear and nonlinear models for spiking neurons.- 7 Deterministic and stochastic FitzHugh-Nagumo systems.- 8 Stochastic modeling of spreading cortical depression
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