MARC Record from harvard_bibliographic_metadata

LEADER: 03873nam a22005895a 4500
001 013770146-2
005 20131004190812.0
008 130812s2013 xxu| s ||0| 0|eng d
020 $a9781461476870
020 $a9781461476870
020 $a9781461476863
024 7 $a10.1007/978-1-4614-7687-0$2doi
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035 0 $aocn864932237
035 $a(Springer)9781461476870
040 $aSpringer
050 4 $aQA273.A1-274.9
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072 7 $aPBT$2bicssc
072 7 $aPBWL$2bicssc
072 7 $aMAT029000$2bisacsh
082 04 $a519.2$223
100 1 $aSchuss, Zeev,$eauthor.
245 10 $aBrownian Dynamics at Boundaries and Interfaces :$bIn Physics, Chemistry, and Biology /$cby Zeev Schuss.
264 1 $aNew York, NY :$bSpringer New York :$bImprint: Springer,$c2013.
300 $aXX, 322 p. 45 illus., 9 illus. in color.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aApplied Mathematical Sciences,$x0066-5452 ;$v186
505 0 $aThe Mathematical Brownian Motion -- Euler Simulation of Ito SDEs -- Simulation of the Overdamped Langevin Equation -- The First Passage Time of a Diffusion Process -- Chemical Reaction in Microdomains -- The Stochastic Separatrix -- Narrow Escape in R2 -- Narrow Escape in R3.
520 $aBrownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their key role in molecular and cellular biophysics: diffusion of ions and molecules is the driver of all life. Brownian dynamics simulations are the numerical realizations of stochastic differential equations that model the functions of biological micro devices such as protein ionic channels of biological membranes, cardiac myocytes, neuronal synapses, and many more. Stochastic differential equations are ubiquitous models in computational physics, chemistry, biophysics, computer science, communications theory, mathematical finance theory, and many other disciplines. Brownian dynamics simulations of the random motion of particles, be it molecules or stock prices, give rise to mathematical problems that neither the kinetic theory of Maxwell and Boltzmann, nor Einstein’s and Langevin’s theories of Brownian motion could predict. This book takes the readers on a journey that starts with the rigorous definition of mathematical Brownian motion, and ends with the explicit solution of a series of complex problems that have immediate applications. It is aimed at applied mathematicians, physicists, theoretical chemists, and physiologists who are interested in modeling, analysis, and simulation of micro devices of microbiology. The book contains exercises and worked out examples throughout.
504 $aIncludes bibliographical references (pages 285-306) and index.
650 20 $aDifferential equations, Partial.
650 10 $aMathematics.
650 0 $aDistribution (Probability theory)
650 0 $aMathematics.
650 0 $aDifferential equations, partial.
650 0 $aMathematical physics.
650 24 $aProbability Theory and Stochastic Processes.
650 24 $aMathematical Methods in Physics.
650 24 $aMathematical and Computational Biology.
650 0 $aBrownian motion processes$xComputer simulation.
650 0 $aBoundary value problems$xComputer simulation.
650 0 $aStochastic differential equations$xComputer simulation.
776 08 $iPrinted edition:$z9781461476863
776 0 $z9781461476870
776 0 $w(GyWOH)har130418244
830 0 $aApplied mathematical sciences (Springer-Verlag New York Inc.) ;$v186.
988 $a20130904
906 $0VEN