Random Walks In Biology
(Howard C. Berg)
The author of the book Random Walks in Biology is widely regarded as the father of biophysics. He was among the first scoentiset who applied analytical physics approaches to dissect phenomenons in biology. The book is a brief, 142-page introduction about the diffusion behaviors of small particles that are occuring in biological settings. For example, biochemical molecules can diffuse inside the cells in 3D, or on the plasma membrane in 2D space. The book starts with a simple illustration of stochastic description of a particle moving around within a given period of time (microscopic view) in chapetr 1. The concept of diffusion coefficient based on the propability equations of such diffusion behavior is introduced. Then differential equations describing the movement of substances are discussed i n Chapter 2 from the macroscopic viewpoint. In later chapters, movemonets composed of diffusions coupled with other mode of motions, for example, drifting,propulsion, confinements, are discussed. Mathematics are used here in a didatic manner, i.e., without robust deduction or prrof provided. However, the text is very suitable for biologists who are not familiar with diffusion equations as a introductory material. In the appendix, more detials about probability theories and differntial equations are given. References for advanced reading are also available at the end of the book.
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