Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:A1L-B

Session:

Number:25

Simulating Dictyostelium cell deformation in amoeboid movement

Shuji Ishihara,  Daisuke Taniguchi,  Satoshi Sawai,  

pp.25-28

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.25

PDF download (712.1KB)

Summary:
A model system for propagating and spiral waves of phosphatidylinositol lipids observed in migrating Dictyostelium discoideum cell is proposed. In the model, chemical dynamics described by reaction-diffusion system is coupled with cell shape deformation represented by phase-field, which reproduces the excitability of the system and arising wave-wave and wave-cell boundary interactions. Parameter dependence of the model shows qualitative agreements with experimental perturbations, such as the loss of excitability by the excess actin in nullmutant of PIR. We also conducted non-parametric estimation of reaction diffusion equations that describe the observed spatio-temporal dynamics. In the method, Bayesian procedure for state-space model is performed by adopting a prior that assumes smooth functional form of reaction terms. Comparison of the results with the proposed mathematical model is discussed.

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