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007 | cr nn 008mamaa | ||
008 | 160915s2014 gw | s |||| 0|eng d | ||
020 |
_a9783319084886 _9978-3-319-08488-6 |
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024 | 7 |
_a10.1007/978-3-319-08488-6 _2doi |
|
035 | _ato000543728 | ||
040 |
_aSpringer _cSpringer _dRU-ToGU |
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050 | 4 | _aQH324.2-324.25 | |
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_aMAT003000 _2bisacsh |
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_a570.285 _223 |
100 | 1 |
_aBressloff, Paul C. _eauthor. _9445611 |
|
245 | 1 | 0 |
_aStochastic Processes in Cell Biology _helectronic resource _cby Paul C. Bressloff. |
260 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2014. |
||
300 |
_aXVII, 679 p. 206 illus., 90 illus. in color. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
490 | 1 |
_aInterdisciplinary Applied Mathematics, _x0939-6047 ; _v41 |
|
505 | 0 | _aIntroduction -- Diffusion in Cells: Random walks and Brownian Motion -- Stochastic Ion Channels -- Polymers and Molecular Motors -- Sensing the Environment: Adaptation and Amplification in Cells -- Stochastic Gene Expression and Regulatory Networks -- Transport Processes in Cells -- Self-Organization in Cells I: Active Processes -- Self-Organization in Cells II: Reaction-Diffusion Models -- The WKB Method and Large Deviation Theory -- Probability Theory and Martingales. | |
520 | _aThis book develops the theory of continuous and discrete stochastic processes within the context of cell biology. A wide range of biological topics are covered including normal and anomalous diffusion in complex cellular environments, stochastic ion channels and excitable systems, stochastic calcium signaling, molecular motors, intracellular transport, signal transduction, bacterial chemotaxis, robustness in gene networks, genetic switches and oscillators, cell polarization, polymerization, cellular length control, and branching processes. The book also provides a pedagogical introduction to the theory of stochastic process – Fokker Planck equations, stochastic differential equations, master equations and jump Markov processes, diffusion approximations and the system size expansion, first passage time problems, stochastic hybrid systems, reaction-diffusion equations, exclusion processes, WKB methods, martingales and branching processes, stochastic calculus, and numerical methods. This text is primarily aimed at graduate students and researchers working in mathematical biology and applied mathematicians interested in stochastic modeling. Applied probabilists and theoretical physicists should also find it of interest. It assumes no prior background in statistical physics and introduces concepts in stochastic processes via motivating biological applications. The book is highly illustrated and contains a large number of examples and exercises that further develop the models and ideas in the body of the text. It is based on a course that the author has taught at the University of Utah for many years. | ||
650 | 0 |
_amathematics. _9566183 |
|
650 | 0 |
_aCytology. _9269442 |
|
650 | 0 |
_aDistribution (Probability theory). _9303731 |
|
650 | 1 | 4 |
_aMathematics. _9566184 |
650 | 2 | 4 |
_aMathematical and Computational Biology. _9411705 |
650 | 2 | 4 |
_aProbability Theory and Stochastic Processes. _9303734 |
650 | 2 | 4 |
_aCell Biology. _9302220 |
710 | 2 |
_aSpringerLink (Online service) _9143950 |
|
773 | 0 | _tSpringer eBooks | |
830 | 0 |
_aInterdisciplinary Applied Mathematics, _9303743 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-319-08488-6 |
912 | _aZDB-2-SMA | ||
999 | _c400959 |