The galvanotaxis response mechanism of keratinocytes can be modeled as a proportional controller

Human keratinocytes actively crawl in vitro when plated onto a collagen-coated glass substrate, and their direction of migration is totally random. In response to an imposed DC electric field, they migrate asymmetrically, moving mostly toward the negative pole of the field. The authors have analyzed experimental data reported by others to determine the basic characteristics of the cellular response machinery in these keratinocytes. This movement can be completely described mathematically using two independent variables: the speed, V, and the angle of migration, phi. The authors propose a model in which a steerer (controller without feedback) is responsible for determining the speed, and an automatic controller (controller with feedback) is responsible for determining the angle of migration. The torque to rotate is induced by a deterministic cellular signal and a stochastic cellular signal. The cellular machine characteristics are determined as follows: The angular dependence of the detection unit is sin phi; the detection unit detects the guiding field in a linear fashion; the cellular reaction unit can be described by a constant; the chemical amplifier, as well as the cellular motor work, is linear; the cellular characteristic time, which quantifies the cellular stochastic signal, is 50 min.