Brownian dynamics at boundaries and interfaces : in physics, chemistry, and biology / Zeev Schuss.

Show other versions (1)
Bibliographic Details
Uniform Title:Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 186.
Main Author: Schuss, Zeev, 1937- (Author)
Language:English
Published: New York : Springer, [2013]
Series:Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 186.
Subjects:
Brownian motion processes > Computer simulation.
Boundary value problems > Computer simulation.
Stochastic differential equations > Computer simulation.
Physical Description:xx, 322 pages : illustrations (some color) ; 24 cm.
Also issued online.
Format: Book

MARC

LEADER 00000cam a2200000 i 4500
001 in00005320429
005 20220616093201.0
008 130708t20132013nyua b 001 0 eng c
010 |a  2013944682 
016 7 |a 016505562  |2 Uk 
020 |z 9781461476870 (eBook) 
020 |z 1461476879 (eBook) 
020 |a 9781461476863 (acid-free paper) 
020 |a 1461476860 (acid-free paper) 
035 |a (CaEvSKY)sky258415258 
035 |a (OCoLC)865511318 
040 |a YDXCP  |b eng  |e rda  |c YDXCP  |d BTCTA  |d DEBSZ  |d AZS  |d OHX  |d IUA  |d UKMGB  |d IQU  |d STF  |d IXA  |d DLC  |d UtOrBLW 
042 |a pcc 
049 |a EEMO 
050 0 0 |a QA274.75  |b .S38 2013 
072 7 |a QA  |2 lcco 
082 0 0 |a 519.2/33  |2 23 
090 |a QA1  |b .A647 v.186 
100 1 |a Schuss, Zeev,  |d 1937-  |e author.  |0 http://id.loc.gov/authorities/names/n80047894 
245 1 0 |a Brownian dynamics at boundaries and interfaces :  |b in physics, chemistry, and biology /  |c Zeev Schuss. 
264 1 |a New York :  |b Springer,  |c [2013] 
264 4 |c ©2013 
300 |a xx, 322 pages :  |b illustrations (some color) ;  |c 24 cm. 
336 |a text  |b txt  |2 rdacontent 
337 |a unmediated  |b n  |2 rdamedia 
338 |a volume  |b nc  |2 rdacarrier 
490 1 |a Applied mathematical sciences,  |x 0066-5452 ;  |v Volume 186 
504 |a Includes bibliographical references (pages 285-306) and index. 
505 0 0 |t Mathematical Brownian motion --  |t Definition of Mathematical Brownian motion --  |t Mathematical Brownian motion in Rd --  |t Construction of Mathematical Brownian motions --  |t Analytical and statistical properties of Brownian paths --  |t Integration with respect to MBM : the Itô integral --  |t Stochastic differentials --  |t The chain rule and Itô's formula --  |t Stochastic differential equations --  |t The Langevin equation --  |t Itô stochastic differential equations --  |t SDEs of Itô type --  |t Diffusion processes --  |t SDEs and PDEs --  |t The Kolmogorov representation --  |t The Feynman-Kac representation and terminating Trajectories --  |t The Pontryagin-Andronov-Vitt equation for the MFPT --  |t The exit distribution --  |t The PDF of the FPT --  |t The Fokker-Planck equation --  |t The backward Kolmogorov equation --  |t The survival probability and the PDF of the FPT --  |t Euler's scheme and Wiener's measure --  |t Euler's scheme for Itô SDEs and its convergence --  |t The pdf of Euler's scheme in R and the FPE --  |t Euler's scheme in Rd --  |t The convergence of the pdf in Euler's scheme in Rd --  |t Unidirectional and net probability Flux --  |t Brownian dynamics at Boundaries --  |t Absorbing boundaries --  |t Unidirectional Flux and the survival probability --  |t Reflecting and partially reflecting boundaries --  |t Reflection and partial reflection in one dimension --  |t Partially reflected diffusion in Rd --  |t Partial reflection in a half-space : constant diffusion matrix --  |t State-dependent diffusion and partial oblique reflection --  |t Curved boundary --  |t Boundary conditions for the backward equation --  |t Discussion and annotations --  |t Brownian simulation of Langevin's --  |t Diffusion limit of physical Brownian motion --  |t The Overdamped Langevin equation --  |t Diffusion approximation to the Fokker-Planck equation --  |t The Unidirectional current in the Smoluchowski equation --  |t Trajectories between fixed concentrations --  |t Trajectories, Fluxes, and boundary concentrations --  |t Connecting a simulation to the continuum --  |t The interface between simulation and the continuum --  |t Brownian dynamics simulations --  |t Application to channel simulation --  |t Annotation --  |t The first passage time to a boundary --  |t The FPT and escape from a domain --  |t The PDF of the FPT and the density of the mean time spent at a point --  |t The exit density and probability Flux density --  |t Conditioning --  |t Conditioning on Trajectories that reach A before B --  |t Application of the FPT to diffusion theory --  |t Stationary absorption flux in one dimension --  |t The probability law of the first arrival time --  |t The first arrival time for steady-state diffusion in R³ --  |t The next arrival times --  |t The exponential decay of G(r, t) --  |t Brownian models of Chemical reactions in microdomains --  |t A stochastic model of a non-arrhenius reaction --  |t Calcium dynamics in Dendritic spines --  |t Dendritic spines and their function --  |t Modeling dendritic spine dynamics --  |t Biological simplifications of the model --  |t A simplified physical model of the spine -- 
505 0 0 |t A schematic model of spine twitching --  |t Final model simplifications --  |t The mathematical model --  |t Mathematical simplifications --  |t The Langevin equations --  |t Reaction-diffusion model of binding and unbinding --  |t Specification of the Hydrodynamic flow --  |t Chemical Kinetics of binding and unbinding Reactions --  |t Simulation of calcium kinetics in dendritic spines --  |t A Langevin (Brownian) dynamics simulation --  |t An estimate of a decay rate --  |t Summary and discussion --  |t Annotations --  |t Interfacing at the Stochastic separatrix --  |t Transition state theory of thermal activation --  |t The diffusion model of activation --  |t The FPE and TST --  |t Reaction rate and the principal eigenvalue --  |t MFPT --  |t The rate k abs (D), MFPT (...(D)), an eigenvalue ... (D) --  |t MFPT for domains of types I and II in Rd --  |t Recrossing, Stochastic Separatrix, Eigenfunctions --  |t The Eigenvalue problem --  |t Can recrossings be neglected? --  |t Accounting for recrossings and the MFPT --  |t The transmission coefficient Ktr --  |t Summary and discussion --  |t Annotations --  |t Narrow escape in R² --  |t Introduction --  |t The NET problem in Neuroscience --  |t NET, Eigenvalues, and time-scale separation --  |t A neumann-Dirichlet boundary value problem --  |t The Neumann function and an integral equation --  |t The NET problem in two dimensions --  |t Brownian motion in Dire straits --  |t The MFPT to a bottleneck --  |t Exit from several bottlenecks --  |t Diffusion and NET on a surface of revolution --  |t A composite domain with a bottleneck --  |t The NET from domains with bottlenecks in R² and R³ --  |t The principal Eigenvalue and bottlenecks --  |t Connecting head and neck --  |t The principal Eigenvalue in Dumbbell-Shaped domains --  |t A Brownian needle in Dire straits --  |t The diffusion law of a Brownian needle in a planar strip --  |t The turnaround time ...L-R --  |t Applications of the NET --  |t Annotations --  |t Annotation to the NET problem --  |t Narrow escape in R³ --  |t The Neumann function in Regulär domains in R³ --  |t Elliptic absorbing window --  |t Second-order asymptotics for a circular window --  |t Leakage in a conductor of Brownian particles --  |t Activation through a narrow opening --  |t The Neumann function --  |t Narrow escape --  |t Deep well : a Markov chain model --  |t The NET in a solid funnel-shaped domain --  |t Selected applications in molecular biophysics --  |t Leakage from a cylinder --  |t Applications of the NET --  |t Annotations --  |g Bibliography --  |g Index. 
530 |a Also issued online. 
650 0 |a Brownian motion processes  |x Computer simulation.  |0 http://id.loc.gov/authorities/subjects/sh85017265 
650 0 |a Boundary value problems  |x Computer simulation.  |0 http://id.loc.gov/authorities/subjects/sh85016102 
650 0 |a Stochastic differential equations  |x Computer simulation.  |0 http://id.loc.gov/authorities/subjects/sh85128177 
830 0 |a Applied mathematical sciences (Springer-Verlag New York Inc.) ;  |v v. 186.  |0 http://id.loc.gov/authorities/names/n42002591 
907 |y .b105897243  |b 210208  |c 141002 
998 |a rs  |b 141002  |c m  |d a   |e -  |f eng  |g nyu  |h 0  |i 3 
999 f f |i bdd36d3d-1b4f-5ad8-873c-741118df1d07  |s 76dfa8dd-972d-5953-8c4a-c62c7177357a  |t 0 
952 f f |p Can Circulate  |a Michigan State University-Library of Michigan  |b Michigan State University  |c MSU Remote Storage  |d MSU Remote Storage  |t 0  |e QA1 .A647 v.186  |h Other scheme  |i Printed Material  |j v.186  |m 31293007464948  |n 1