Journal of Physical Studies 11(3), 322–324 (2007) DOI: https://doi.org/10.30970/jps.11.322 STRANGE ATTRACTOR IN KINETIC MODEL OF SYNAPTIC TRANSMISSION A. V. Chalyi1, E. V. Zaitseva2 1O. O. Bogomolets National Medical University, Department of Medical and Biological Physics, 13 Shevchenko Blvd, Kyiv, UA-01160, Ukraine, 2Taras Shevchenko National University of Kyiv, Faculty of Physics, Department of Theoretical Physics, 6 Glushkova Pr., Kyiv, UA-03022, Ukraine

This study is aimed at the creation of a physical model of transmission through a synaptic cleft at the cell-to-cell communication with taking into account such real processes: time-dependent release of mediator (acetylcholine) molecules (ACh) to a synaptic cleft, diffusion of ACh molecules from synaptic cleft, receptor binding of ACh – formation of mediator-receptor complexes (AChR), decay of ACh and AChR by action of a specific ferment – acetylcholinesterase (AChE). The system of three nonlinear differential equations was proposed to characterize the change of concentrations of acetylcholine molecules, mediator-receptor complexes and acetylcholinesterase. The stationary states and types of singular points are studied for the given model of synaptic transmission.

PACS number(s): 82.40.Ck, 87.10.Ed

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