000 03597nam a22005777a 4500
001 sulb-eb0024041
003 BD-SySUS
005 20160413122422.0
007 cr nn 008mamaa
008 121026s2013 gw | s |||| 0|eng d
020 _a9783642321573
_9978-3-642-32157-3
024 7 _a10.1007/978-3-642-32157-3
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aPBWL
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.2
_223
245 1 0 _aStochastic Biomathematical Models
_h[electronic resource] :
_bwith Applications to Neuronal Modeling /
_cedited by Mostafa Bachar, Jerry Batzel, Susanne Ditlevsen.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXVI, 206 p. 34 illus., 13 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2058
505 0 _a1 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.
520 _aStochastic 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.
650 0 _aMathematics.
650 0 _aNeurobiology.
650 0 _aMathematical models.
650 0 _aProbabilities.
650 0 _aStatistics.
650 1 4 _aMathematics.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aMathematical Modeling and Industrial Mathematics.
650 2 4 _aStatistics for Life Sciences, Medicine, Health Sciences.
650 2 4 _aNeurobiology.
700 1 _aBachar, Mostafa.
_eeditor.
700 1 _aBatzel, Jerry.
_eeditor.
700 1 _aDitlevsen, Susanne.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642321566
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2058
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-32157-3
912 _aZDB-2-SMA
912 _aZDB-2-LNM
942 _2Dewey Decimal Classification
_ceBooks
999 _c46133
_d46133