Random Walks in Biology

By H. Berg. 2018

3,200 citations recorded by the source corpus.

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.

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Citations in the corpus

Active suspensions and their nonlinear models (2013, background): “Run-and-tumble dynamics of wild-strain bacteria The motion of motile bacteria, such as Escherichia coli and Bacillus subtilis, not only involves swimming as a result of self-propulsion and transport by the local fluid flow, but is also affected by their so-called run-and-tumble dynamics, by which pe”
Motility patterns and mate encounter rates in planktonic copepods (2005, background): “…sphere; and for a cruising male and a spherical pheromone plume, it is: bSphere,cruiser 5 pr2u (5) Finally, search volume rates for two diffusing (Berg 1993), respectively, cruising spheres (Evans 1989), applicable to species with hydrodynamic detection, are: b 5 4p(D 1 D )S…”
Molecular Communication and Networking: Opportunities and Challenges (2012, background): “The average latency in this case is finite and is equal to [53].”
Critical bacterial concentration for the onset of collective swimming (2009, methodology): “Berg (1983) estimated Dr = 0.062 s −1 by observing the curvature of a trajectory of wild-type E. Coli during a run.”
Atomic Biology, Electrostatics, and Ionic Channels (2008, background): “On the microscopic10 scale, friction and collisions dominate—as shown by elegant scaling arguments (Purcell, 1977; Berg, 1983)—producing a Brownian motion approximated by the random walk of a drunken man, the (limit of the) sum of frequent tiny displacements made by the ion with each atomic…”
A Comprehensive Survey of Recent Advancements in Molecular Communication (2014, methodology): “Transfection, transfer via viral vectors, direct injection to germ line, and transfer via embryonic stem cells are the methods for gene transfer for modifying a metabolic pathway [81]–[83].”
Escape response of planktonic protists to fluid mechanical signals (2001, background): “The cue is therefore unlikely to be of a chemical nature, since dissolved chemicals propagate only slowly by diffusion (Berg 1983), and much slower than the swimming speed of most aquatic metazoans.”
Invited Review - Fight on Plankton! or, Phytoplankton Shape and Size as Adaptive Tools to Get Ahead in the Struggle for Life (2011, background): “For instance, if a bacterium were suddenly to cease swimming, it would come to a halt in a distance much less that the diameter of a hydrogen atom (Berg, 1983).”
Active Brownian particles (2012, background): “Our modern understanding of bacterial chemotaxis was strongly influenced by the systematic investigations performed by J. Adler, H.C. Berg and their collaborators in the 60’s and 70’s of the past century [3,4,5,33,30,34,46].”
Stochastic modelling of reaction–diffusion processes: algorithms for bimolecular reactions (2009, background): “−1, and using (21), we obtain = 8nm. On the other Stochastic reaction-diﬀusion processes 12 hand, approximating the diﬀusing molecule as a sphere, we can estimate its radius by the Einstein relation [8, 3] m = kBT 6πηD , (22) where kB = 1.38×10−14 gmm2 sec−2 K−1 is the Boltzmann constant, Tis the ab”