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 TRANSMISSIONA. V. Chalyi1, E. V. Zaitseva2
1O. O. Bogomolets National Medical University, Department of
Medical and Biological Physics, |
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