Abstract
Cell proliferation is considered a periodic process governed by a relaxation timer. The collective behavior of a system composed of three identical relaxation oscillators in numerically studied under the condition that diffusion of the slow mode dominates. We demonstrate: (1) the existence of three periodic regimes with different periods and phase relations and an unsymmetrical, stable steady-state (USSS); (2) the coexistence of in-phase oscillations and USSS; (3) the coexistence of periodic attractors; and (4) the emergence of a two-loop limit cycle coexisting with both in-phase oscillations and a stable steady-state. The qualitative reasons for such a diversitiy and its possible role in the generation of cell cycle variability are discussed.
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Volkov, E.I., Stolyarov, M.N. Temporal variability in a system of coupled mitotic timers. Biol. Cybern. 71, 451–459 (1994). https://doi.org/10.1007/BF00198921
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DOI: https://doi.org/10.1007/BF00198921