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JOURNALS // Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya // Archive

Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2016 Issue 3, Pages 87–96 (Mi vspui301)

This article is cited in 2 papers

Applied mathematics

On the molecular mathematical model of skeletal muscle reduction

V. S. Novoselov

St. Petersburg State University, 7–9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation

Abstract: All muscle contraction occurs as a result of signals in the form of the nervous impulses. The muscle fiber tension generales at first isometric and next isotonic contractions. In isometric contraction the muscle remains the same length. In isotonic contraction the tension in the muscle remains constant. In reality more complex contractions (isovelocity, concentric and eccentric) occur. However the cancelable mechanism will be identical. In the sliding filament theory it is a process of repetitive events that cause a thin filament (protein actin) to slide over a thick filament (protein myosin) and generate tension in the muscle. Briefly the mechanism of muscle contraction is as follows. The ATP molecules to activate the myosin head on the thick filament. An action potential arrives across the neuromuscular synapse to the muscle membrane. This depolarization results in an increase in cytoplasm calcium. This calcium to release calcium out the sarcoplasmic reticulum. The calcium ions to activate the binding cites on the thin filament. As a result of the ferment reaction take place hydrolyzes the ATP and the release of inorganic phosphate. In the article the standard problem of the sarcomere in the cause of the length-tension curve is constructed. The equilibrium solutions of the kinetic equations for the two models of muscle contraction are obtained. The mitochondrial phosphorylation of ADP is a complex process of cellular respiration. In this article only one fragment for the electron transport chain is considered. Refs 11.

Keywords: skeletal muscle, muscle contraction, molecular mathematical model, kinetic equations, mitochondrial phospholation.

UDC: 531:518:577

Received: April 5, 2016
Accepted: May 26, 2016

DOI: 10.21638/11701/spbu10.2016.308



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