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Entropy 2018, 20(12), 929; https://doi.org/10.3390/e20120929

Entropy Density Acceleration and Minimum Dissipation Principle: Correlation with Heat and Matter Transfer in Glucose Catabolism

1
Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Messina 98166, Italy
2
Laboratory of Biochemistry F. Pacini, Reggio Calabria 89100, Italy
3
Department of General Surgery and Senology, University Hospital Company, Catania 95124, Italy
*
Author to whom correspondence should be addressed.
Received: 7 November 2018 / Revised: 2 December 2018 / Accepted: 3 December 2018 / Published: 5 December 2018
(This article belongs to the Special Issue Entropy Generation and Heat Transfer)
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Abstract

The heat and matter transfer during glucose catabolism in living systems and their relation with entropy production are a challenging subject of the classical thermodynamics applied to biology. In this respect, an analogy between mechanics and thermodynamics has been performed via the definition of the entropy density acceleration expressed by the time derivative of the rate of entropy density and related to heat and matter transfer in minimum living systems. Cells are regarded as open thermodynamic systems that exchange heat and matter resulting from irreversible processes with the intercellular environment. Prigogine’s minimum energy dissipation principle is reformulated using the notion of entropy density acceleration applied to glucose catabolism. It is shown that, for out-of-equilibrium states, the calculated entropy density acceleration for a single cell is finite and negative and approaches as a function of time a zero value at global thermodynamic equilibrium for heat and matter transfer independently of the cell type and the metabolic pathway. These results could be important for a deeper understanding of entropy generation and its correlation with heat transfer in cell biology with special regard to glucose catabolism representing the prototype of irreversible reactions and a crucial metabolic pathway in stem cells and cancer stem cells. View Full-Text
Keywords: entropy generation; entropy acceleration; minimum energy dissipation principle; glucose catabolism; irreversible reactions; heat transfer; matter transfer; cancer biology; stem cell biology entropy generation; entropy acceleration; minimum energy dissipation principle; glucose catabolism; irreversible reactions; heat transfer; matter transfer; cancer biology; stem cell biology
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Zivieri, R.; Pacini, N. Entropy Density Acceleration and Minimum Dissipation Principle: Correlation with Heat and Matter Transfer in Glucose Catabolism. Entropy 2018, 20, 929.

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