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Solution of the persistent, biased random walk

✍ Scribed by Ricardo García-Pelayo

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
161 KB
Volume
384
Category
Article
ISSN
0378-4371

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✦ Synopsis

The solution of the one-dimensional persistent, biased random walk is found. Its finite differences equation is derived and shown to be satisfied by the said solution.

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✍ N.A. Hill; D.-P. Häder 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 359 KB

The motion of swimming micro-organisms that have a preferred direction of travel, such as single-celled algae moving upwards (gravitaxis) or towards a light source (phototaxis), is modelled as the continuous limit of a correlated and biased random walk as the time step tends to zero. This model lead