04386nam 22006855 450 99646648100331620200702023745.03-642-32157-710.1007/978-3-642-32157-3(CKB)3400000000102754(SSID)ssj0000788856(PQKBManifestationID)11510540(PQKBTitleCode)TC0000788856(PQKBWorkID)10828737(PQKB)10419527(DE-He213)978-3-642-32157-3(MiAaPQ)EBC3070874(PPN)168321114(EXLCZ)99340000000010275420121026d2013 u| 0engurnn|008mamaatxtccrStochastic Biomathematical Models[electronic resource] with Applications to Neuronal Modeling /edited by Mostafa Bachar, Jerry J. Batzel, Susanne Ditlevsen1st ed. 2013.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2013.1 online resource (XVI, 206 p. 34 illus., 13 illus. in color.) Mathematical Biosciences Subseries,2524-6771 ;2058Bibliographic Level Mode of Issuance: Monograph3-642-32156-9 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.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: one-dimensional homogeneous diffusions and their boundary behavior, large deviation theory and its application in stochastic neurobiological models, a review of mathematical methods for stochastic neuronal integrate-and-fire models, stochastic partial differential equation models in neurobiology, and stochastic modeling of spreading cortical depression.Mathematical Biosciences Subseries,2524-6771 ;2058ProbabilitiesMathematical modelsStatistics NeurobiologyProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Mathematical Modeling and Industrial Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M14068Statistics for Life Sciences, Medicine, Health Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/S17030Neurobiologyhttps://scigraph.springernature.com/ontologies/product-market-codes/L25066Probabilities.Mathematical models.Statistics .Neurobiology.Probability Theory and Stochastic Processes.Mathematical Modeling and Industrial Mathematics.Statistics for Life Sciences, Medicine, Health Sciences.Neurobiology.612.8/1046015118Bachar Mostafaedthttp://id.loc.gov/vocabulary/relators/edtBatzel Jerry Jedthttp://id.loc.gov/vocabulary/relators/edtDitlevsen Susanneedthttp://id.loc.gov/vocabulary/relators/edtBOOK996466481003316Stochastic biomathematical models258663UNISA