Abstract
This paper considers several cell balance equations describing the time and spatial evolution of the number density of chemotactic cell populations. The conditions are determined under which the three-dimensional cell balance equations of Alt reduce to the simpler, one-dimensional equations of Segel that have been used by Lauffenberger and colleagues to describe chemotaxis of flagellar bacteria and polymorphonuclear leukocytes, and to interpret experimental measurements on such systems.
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