Howard Berg Random Walks In Biology.pdf

[Tanesha Prately]

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.

Howard Berg Random Walks In Biology.pdf

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_OC_InitNavbar("child_node":["title":"My library","url":" =114584440181414684107\u0026source=gbs_lp_bookshelf_list","id":"my_library","collapsed":true,"title":"My History","url":"","id":"my_history","collapsed":true],"highlighted_node_id":"");Random Walks in BiologyHoward C. BergPrinceton University Press, 27 Sept 1993 - Science - 152 pagesThis 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.

The concept of random walk was first introduced by Karl Pearson in1905, and he used random walks to describe how mosquito could infestsa forest. At about the same time, Albert Einstein introduced Brownianmovement to describe the movement of a particle of dust in the air.

In Figure 5, we observe an important property of random walks:because it takes a shorter time to explore closer regions, theparticle tends to explore proximal regions,before exploring more distant regions. After one rarer eventof wandering away, it process to do more local explorations.Because the random walk has no memory, there is never a knowledgeof what has or has not been explored in the past.

We had obtained this result before, when looking at the microscopicrandom walks for large \(N\). If you think about it (Figure 1), wewhere injecting independent particles as a given position, at timezero, just the initial conditions we proposed here.

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