Biomaterial Database

[Formation of impulses in an excitable medium]. 1975

L A Ostrovskiĭ, and V G Iakhno

The paper deals with the evolution of initial perturbation in an active distributed system, described by non-linear equations of a diffusion type. Division of all movements into the less than slow greater than and less than fast greater than ones in time and space makes it possible to give a simple analytical description of all the stages. The following cases are possible: a) Initial distribution limited in space falls into two diverging impulses, each of them consists of two sharp fronts connected by slow movements. While propagating each impulse acquires a stationary form; b) Meeting fronts are formed in the wave, the result is that the initial perturbation disappears in a finite time; c) A sharp front with zero rate of propagation is initiated; its slow evolution may lead to an autooscillation process. The solutions obtained are applicable to the description of concentration waves in oscillatory chemical reactions.

UI	MeSH Term	Description	Entries
D007700	Kinetics	The rate dynamics in chemical or physical systems.
D008314	Malonates	Derivatives of malonic acid (the structural formula CH2(COOH)2), including its salts and esters.
D008433	Mathematics	The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed)	Mathematic
D008956	Models, Chemical	Theoretical representations that simulate the behavior or activity of chemical processes or phenomena; includes the use of mathematical equations, computers, and other electronic equipment.	Chemical Models,Chemical Model,Model, Chemical
D008959	Models, Neurological	Theoretical representations that simulate the behavior or activity of the neurological system, processes or phenomena; includes the use of mathematical equations, computers, and other electronic equipment.	Neurologic Models,Model, Neurological,Neurologic Model,Neurological Model,Neurological Models,Model, Neurologic,Models, Neurologic
D009431	Neural Conduction	The propagation of the NERVE IMPULSE along the nerve away from the site of an excitation stimulus.	Nerve Conduction,Conduction, Nerve,Conduction, Neural,Conductions, Nerve,Conductions, Neural,Nerve Conductions,Neural Conductions
D010084	Oxidation-Reduction	A chemical reaction in which an electron is transferred from one molecule to another. The electron-donating molecule is the reducing agent or reductant; the electron-accepting molecule is the oxidizing agent or oxidant. Reducing and oxidizing agents function as conjugate reductant-oxidant pairs or redox pairs (Lehninger, Principles of Biochemistry, 1982, p471).	Redox,Oxidation Reduction
D001959	Bromates	Negative ions or salts derived from bromic acid, HBrO3.	Bromate
D002384	Catalysis	The facilitation of a chemical reaction by material (catalyst) that is not consumed by the reaction.	Catalyses
D002627	Chemistry, Physical	The study of CHEMICAL PHENOMENA and processes in terms of the underlying PHYSICAL PHENOMENA and processes.	Physical Chemistry,Chemistries, Physical,Physical Chemistries