NON-TURING MECHANISM OF SELF-SUSTAINED STRUCTURE FORMATION

作者：Verisokin Andrey Yu^*; Verveyko Darya V

来源：International Journal of Bifurcation and Chaos, 2013, 23(2): 1350037.

DOI：10.1142/S0218127413500375

• Synchronization
• relaxation oscillations
• glycolytic reaction
• Selkov model
• clusters

We study the mechanism of experimentally observed phase waves and clusters in yeast extracts (cells with destroyed membranes) placed into the unstirred medium (gel). As a mathematical model, the distributed Selkov system is used, since it describes the key step of glycolytic reaction cascade - the phosphofructokinase-catalyzed reaction. We argue that the emergence of spatial phase clusters does not correspond to the Turing mechanism because diffusion coefficients used for two considered reagents are taken as equal. We show that the actual background of this phenomenon is connected with various local rotation velocities in phase space. In this case, large diffusion coefficients stabilize spatial patterns and small diffusion provides an asynchronous regime only.

• 出版日期2013-2