Stochastic biomathematical models : with applications to neuronal modeling /
Mostafa Bachar, Jerry Batzel, Susanne Ditlevsen, editors.
- Heidelberg : Springer, c2013.
- xvi, 206 p. : ill. ; 24 cm.
- Lecture notes in mathematics. Mathematical biosciences subseries, 2058 0075-8434 ; .
- Lecture notes in mathematics (Springer-Verlag) ; 2058. Lecture notes in mathematics (Springer-Verlag). Mathematical biosciences subseries. .
Includes bibliographical references and index.
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.