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Plant and Cell Physiology, 1984, Vol. 25, No. 5 705-714
© 1984

Article

Movement of Dictyostelium Pseudoplasmodia in Vivo and in a Mathematical Simulation

Donat-P. Häder and Uhland Burkart

Botany Department and Mathematics Department, Philipps University Lahnberge, D-3550 Marburg, Federal Republic of West Germany

An improved mathematical model simulating the movement of Dictyostelium discoideum slugs on a plane surface is presented and compared with the results obtained in vivo. The model allows the simulation of random movements under non-stimulated conditions and the oriented movement in the presence of photic, thermal and chemical stimuli. The simulation supports the hypothesis that the external stimuli are internally converted into a gradient of a low molecular weight substance in which the organisms orient chemotactically. A spatially defined field containing this substance is avoided by the organisms while a uniform background decreases the degree of orientation to a light stimulus both in vivo and in the simulation. The behavior observed in mutants can be simulated by adjusting the sensitivity coefficients in the simulation functions for the various stimuli.

(Received December 10, 1983; Accepted April 12, 1984)
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