Stochastic biomathematical models : with applications to neuronal modeling
 Language
 English.
 Imprint
 Heidelberg : Springer, c2013.
 Physical description
 xvi, 206 p. : ill. ; 24 cm.
 Series

Lecture notes in mathematics (SpringerVerlag) 2058. 00752058
Lecture notes in mathematics (SpringerVerlag). Mathematical biosciences subseries.
Access
Available online

Stacks

Unknown
QA3 .L28 V.2058

Unknown
QA3 .L28 V.2058
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Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 1 Introduction to stochastic models in biology. 2 Onedimensional 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 FitzHughNagumo systems. 8 Stochastic modeling of spreading cortical depression.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 advances in stochastic analysis and increasing computing power facilitate the analysis of more biophysically realistic models, and this book provides researchers in computational neuroscience and stochastic systems with an overview of recent developments. Key concepts are developed in chapters written by experts in their respective fields. Topics include: onedimensional homogeneous diffusions and their boundary behavior, large deviation theory and its application in stochastic neurobiological models, a review of mathematical methods for stochastic neuronal integrateandfire models, stochastic partial differential equation models in neurobiology, and stochastic modeling of spreading cortical depression.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2013
 Responsibility
 Mostafa Bachar, Jerry Batzel, Susanne Ditlevsen, editors.
 Series
 Lecture notes in mathematics. Mathematical biosciences subseries, 00758434 ; 2058
 Available in another form
 Online version: Stochastic biomathematical models. Heidelberg ; New York : Springer, c2013 9783642321573 (OCoLC)819508537
 ISBN
 9783642321566
 3642321569