Time-delayed model of the unbiased movement of Tetrahymena Pyriformis
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In our paper we investigate the unbiased movement of the unicellular eukaryotic ciliate Tetrahymena Pyriformis. We use a time-delayed version of the previously known model to describe the specific movement of this species. With the help of semi-discretization, we state analytic results for the model.
Key words and phraseseukaryotic ciliate time-delay semi-discretization
Mathematics subject classification number92C17 34K60
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- A. M. Elliott, Biology of Tetrahymena, DH&R, 1973.Google Scholar
- J. D. Murray, Mathematical Biology, Springer-Verlag, 2003.Google Scholar
- M. O. Vlad and J. Ross, Systematic derivation of reaction-diffusion equations with distributed delays and relations to fractional reaction-diffusion equations and hyperbolic transport equations: Application to the theory of neolithic transition, Phys. Rev. E, 66:6 (2002), 0619082.MathSciNetGoogle Scholar