Random Walks in BiologyThis 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. |
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adsorber of radius apparatus autocorrelation axis bacteria bacterium Berg and Purcell binomial distribution Boltzmann Boltzmann distribution Boltzmann equation capture cell centrifugal channel Chapter cles cm²/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 flagella flow fluid flux fraction frictional drag coefficient function g/cm sec given gradient increment interval ions large number lattice points liquid mean value medium membrane mixing chamber molecules moving phase N₁ number of particles obtain parti particle released plate Poisson Poisson distribution position 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 steady-state sucrose temperature tion total number tubes tumble viscous drag volume wander x²(n λο ӘС
Popular passages
Page 145 - Brown DA. 1972. Chemotaxis in Escherichia coli analysed by threedimensional tracking.
Page 148 - Segall, JE, Block, SM, and Berg, HC (1986) Temporal comparisons in bacterial chemotaxis, Proc. Natl. Acad. Sci. USA 83.
Page 148 - Zwanzig, R. (1990) Diffusion-controlled ligand binding to spheres partially covered by receptors: an effective medium treatment, Proc. Natl Acad. Sci USA 87, 5856-5857.
Page 145 - Berg. HC, and Turner, L. (1979). Movement of microorganisms in viscous environments. Nature (London} 278, 349-351.