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Simple model for temperature control of glycolytic oscillations
E B Postnikov1, D V Verveyko, A Yu Verisokin
1Department of Theoretical Physics, Kursk State University, Kursk, Russia. postnicov@gmail.com
Abstract:
We introduce the temperature-dependent autocatalytic coefficient into the Merkin-Needham-Scott version of the Selkov system and consider the resulting equations as a model for temperature-controlled, self-sustained glycolytic oscillations in a closed reactor. It has been shown that this simple model reproduces key features observed in the experiments with temperature growth: (i) exponentially decreasing period of oscillations; (ii) reversal of relative duration leading and tail fronts. The applied model also reproduces the modulations of oscillations induced by the periodic temperature change.
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