Stochastic Biomathematical Models with Applications to Neuronal Modeling /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bachar, Mostafa. (Editor), Batzel, Jerry. (Editor), Ditlevsen, Susanne. (Editor)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Lecture Notes in Mathematics, 2058
• Subjects: Mathematics.; Neurobiology.; Distribution (Probability theory).; Statistics.; Probability Theory and Stochastic Processes.; Mathematical Modeling and Industrial Mathematics.; Statistics for Life Sciences, Medicine, Health Sciences.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-32157-3

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...

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.