Simulation of<i>Dictyostelium Discoideum</i>Aggregation via Reaction-Diffusion Model
Bakhtier VasievDepartment of Theoretical Biology, University of Utrecht, Padualaan 8, 3584 CH, Utrecht, The NetherlandsPaulien HogewegDepartment of Theoretical Biology, University of Utrecht, Padualaan 8, 3584 CH, Utrecht, The NetherlandsAlexander V. PanfilovDepartment of Theoretical Biology, University of Utrecht, Padualaan 8, 3584 CH, Utrecht, The Netherlands
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We propose a reaction-diffusion model for simulation of the process of aggregation of Dictyostelium discoideum amoebae. The model is based on FitzHugh-Nagumo-type equations for cyclic adenosine 3\ensuremath{'}-monophosphate waves and a continuity equation for amoebae motion. We simulate the process of aggregation induced by a periodic point source and by spiral wave. We show that the aggregation pattern is formed as a result of front instabilities due to dependence of wave velocity on density of amoebae. This instability can also result in formation of wave breaks and generation of spiral waves.
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