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Entropy 2017, 19(10), 558; doi:10.3390/e19100558

Comparative Statistical Mechanics of Muscle and Non-Muscle Contractile Systems: Stationary States of Near-Equilibrium Systems in A Linear Regime

1
Centre de Recherche Clinique, Grand Hôpital de l’Est Francilien, 6–8 Rue Saint Fiacre, 77100 Meaux, France
2
Department of Pharmaceutical Sciences, University of Antwerp, 2610 Wilrijk, Belgium
3
Institut de Cardiologie, Groupe Hospitalier Pitié-Salpêtrière, Assistance Publique-Hôpitaux de Paris, 75004 Paris, France
4
Service de Gynécologie-Obstétrique, Grand Hôpital de l’Est Francilien, 77100 Meaux, France
5
L’Institut du Thorax, INSERM, CNRS, UNIV Nantes, Service de Pneumologie, 44093 Nantes, France
6
Laboratoire de Mathématiques et Applications, UMR CNRS 7348, Université de Poitiers, 86000 Poitiers, France
*
Author to whom correspondence should be addressed.
Received: 1 August 2017 / Revised: 30 September 2017 / Accepted: 16 October 2017 / Published: 20 October 2017
(This article belongs to the Special Issue Statistical Mechanics of Complex and Disordered Systems)
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Abstract

A. Huxley’s equations were used to determine the mechanical properties of muscle myosin II (MII) at the molecular level, as well as the probability of the occurrence of the different stages in the actin–myosin cycle. It was then possible to use the formalism of statistical mechanics with the grand canonical ensemble to calculate numerous thermodynamic parameters such as entropy, internal energy, affinity, thermodynamic flow, thermodynamic force, and entropy production rate. This allows us to compare the thermodynamic parameters of a non-muscle contractile system, such as the normal human placenta, with those of different striated skeletal muscles (soleus and extensor digitalis longus) as well as the heart muscle and smooth muscles (trachea and uterus) in the rat. In the human placental tissues, it was observed that the kinetics of the actin–myosin crossbridges were considerably slow compared with those of smooth and striated muscular systems. The entropy production rate was also particularly low in the human placental tissues, as compared with that observed in smooth and striated muscular systems. This is partly due to the low thermodynamic flow found in the human placental tissues. However, the unitary force of non-muscle myosin (NMII) generated by each crossbridge cycle in the myofibroblasts of the human placental tissues was similar in magnitude to that of MII in the myocytes of both smooth and striated muscle cells. Statistical mechanics represents a powerful tool for studying the thermodynamics of all contractile muscle and non-muscle systems. View Full-Text
Keywords: statistical mechanics; entropy; entropy production rate; affinity; placenta; heart; myosin; skeletal and smooth muscles statistical mechanics; entropy; entropy production rate; affinity; placenta; heart; myosin; skeletal and smooth muscles
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MDPI and ACS Style

Lecarpentier, Y.; Claes, V.; Krokidis, X.; Hébert, J.-L.; Timbely, O.; Blanc, F.-X.; Michel, F.; Vallée, A. Comparative Statistical Mechanics of Muscle and Non-Muscle Contractile Systems: Stationary States of Near-Equilibrium Systems in A Linear Regime. Entropy 2017, 19, 558.

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