On the Relationship Between Cell Balance Equations for Chemotactic Cell Populations

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.