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Stochastic Biomathematical Models with Applications to Neuronal Modeling

Stochastic biomathematical models are becoming increasingly important as new light is shed on the role of noise in living systems. In certain biological systems, stochastic effects may even enhance a signal, thus providing a biological motivation for the noise observed in living systems. Recent adva...

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Bibliographic Details
Other Authors: Bachar, Mostafa (Editor), Batzel, Jerry J. (Editor), Ditlevsen, Susanne (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2013, 2013
Edition:1st ed. 2013
Series:Mathematical Biosciences Subseries
Subjects:
Statistics 
Neurobiology
Mathematical Modeling And Industrial Mathematics
Statistics For Life Sciences, Medicine, Health Sciences
Probability Theory And Stochastic Processes
Probabilities
Mathematical Models
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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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