Random Walks in BiologyPrinceton University Press, 27 sept. 1993 - 152 pages This book is a lucid, straightforward introduction to the concepts and techniques of statistical physics that students of biology, biochemistry, and biophysics must know. It provides a sound basis for understanding random motions of molecules, subcellular particles, or cells, or of processes that depend on such motion or are markedly affected by it. Readers do not need to understand thermodynamics in order to acquire a knowledge of the physics involved in diffusion, sedimentation, electrophoresis, chromatography, and cell motility--subjects that become lively and immediate when the author discusses them in terms of random walks of individual particles. |
Table des matières
Introduction | 3 |
Macroscopic Theory | 17 |
Diffusion to Capture | 37 |
Diffusion with Drift | 48 |
Diffusion at Equilibrium | 65 |
Movement of Selfpropelled | 75 |
Motility of Escherichia coli | 81 |
Bacterial diffusion | 93 |
Appendix A Probabilities and Probability | 111 |
The binomial distribution | 118 |
Addendum to Chapter 6 | 134 |
Constants and Formulas | 143 |
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Expressions et termes fréquents
adsorber of radius apparatus autocorrelation axis bacteria bacterium Berg and Purcell binomial distribution Boltzmann Boltzmann distribution Boltzmann equation capture cell centrifugal channel Chapter cles cm/sec coli compute concentration constant derivation differential equations diffusion coefficient diffusion current disk disk-like adsorbers displacement distance drag coefficient drift velocity effective mass Einstein-Smoluchowski relation ellipsoid energy equal example experiment factor Fick's flow fluid flux fraction frictional drag coefficient function g/cm sec given gradient increment interval ions large number lattice points liquid mean value medium mixing chamber molecules moving phase number of particles obtain parti particle released plate Poisson distribution position probability of finding random walk receptor root-mean-square rotational diffusion scale height sedimentation rate shown in Fig solution specific gravity sphere of radius square-root standard deviation statistics steady-state sucrose surface swim temperature tion total number tubes tumble viscous drag volume wander x²(n