Why Linear Thermodynamics Does Describe Change of Entropy Production in Living Systems?

Alexey A. Zotin

N.K. Koltsov’s Institute of Developmental Biology RAS, Moscow, Russia.

DOI: 10.4236/ns.2014.67048                

Abstract

We propose a hypothesis according to which there is a hierarchy of included steady states in living systems. Each steady state is not stable and exists only in a certain frame of time, named characteristic time. Evolution of system to any steady state leads to a change of boundary conditions for all steady states having lesser characteristic time. It should not be very rapid. In the opposite case, the level of entropy production could change so much that the system achieves a critical unstable point of any included steady state. Passing through the critical point leads to reorganization of the entire hierarchy of the steady states or to the complete collapse of the system as a dissipative structure. Also one should take into account that living systems are the result of long-term biological evolution. The species that are able to maintain their integrity for the longest time interval have evolutionary advantage. Therefore, it is quite likely that difference between current value of the entropy production and value of the entropy production in nearest steady state is small enough to satisfy the laws of linear thermodynamics. Experimental data confirm the hypothesis. Limits of applicability of linear thermodynamics to biological systems are discussed.

Keywords

Entropy Production, Living Systems, Linear Thermodynamics, Steady State

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Rubin, A.B. (1976) Thermodynamics of Biological Processes. Izdatelstvo Moskovskogo Gosudarstennogo Univiversiteta, Moscow.
[2]	Zotin, A.I. and Zotin, A.A. (1999) The Direction, Rate, and Mechanisms of Progressive Evolution. Thermodynamic and Experimental Basis. Nauka, Moscow.
[3]	Zotin, A.I. and Konoplev, V.A. (1978) Direction of the Evolutionary Progress of Organisms. In: Lamprecht, I. and Zotin, A.I., Eds., Thermodynamics of Biological Processes, de Gruyter, Berlin, 341-347.
[4]	Zotin, A.I. (1972) Thermodynamic Aspects of Developmental Biology. Karger, Basel.
[5]	Ozernyuk, N.D., Zotin, A.I. and Yurowitzky, Yu.G. (1972) Deviation of the Living System from the Stationary State during Oogenesis. Wilhelm Roux’ Archiv, 172, 66-74.
[6]	Trincher, K.S. (1973) On the Physical Mechanism of Active Heat Dissipation from the Living Matter (the Thermodynamic Principle of Ontogenetic Development). In: Gaase-Rapoport, M.G., et al., Eds. Problems of Bionics, Nauka, Moscow, 439-444.
[7]	Forrest, W.W. and Walker, D.J. (1964) Thermodynamics of Biological Growth. Nature, 196, 990-991. http://dx.doi.org/10.1038/196990a0
[8]	Arshavskii, I.A. (1982) Physiological Mechanisms and Patterns of Individual Development. Nauka, Moscow.
[9]	Bauer, E.S. (1935) Theoretical Biology. VIEM, Moscow.
[10]	Prigogine, I. and Wiame, J.M. (1946) Biologie et thermodynamique des phenomenes irrversibles. Experientia, 2, 451453. http://dx.doi.org/10.1007/BF02153597
[11]	Prigogine, I. (1947) Etude thermodynamique des phénomenes irréversibles. Desoer, Paris.
[12]	Prigogine, I. (1967) Thermodynamics of Irreversible Processes. 3rd Edition, Interscience Publishers, New York.
[13]	Prigogine, I. and Nicolis, G. (1971) Biological Order, Structure and Instabilities. Quarterly Reviews of Biophysics, 4, 107-148. http://dx.doi.org/10.1017/S0033583500000615
[14]	de Groot, S.R. and Mazur, P. (1962) Non-Equilibrium Thermodynamics. North-Holland Publishing Company, Amsterdam.
[15]	Zotin, A.I. (1978) The Second Law, Negentropy, Thermodynamic of Linear Irreversible Processes. In: Lamprecht, I. and Zotin, A.I., Eds. Thermodynamics of Biological Processes, de Gruyter, Berlin, 19-30.
[16]	Glansdorff, P. and Prigogine, I. (1971) Thermodynamic Theory of Structure, Stability, and Fluctuations. Wiley-Interscience, London.
[17]	Glansdorff, P., Nicolis, G. and Prigogine, I. (1974) The Thermodynamic Stability Theory of Non-Equilibrium States. Proceedings of the National Academy of Sciences USA, 71, 197-199. http://dx.doi.org/10.1073/pnas.71.1.197
[18]	Zotin, A.I. (1990) Thermodynamic Bases of Biological Processes. Physiological Reactions and Adaptations. de Gruyter, Berlin.
[19]	Zotin, A.A. and Zotin, A.I. (1996) Thermodynamic Bases of Developmental Processes. Journal of Non-Equilibrium Thermodynamics, 21, 307-320. http://dx.doi.org/10.1515/jnet.1996.21.4.307
[20]	Zotin, A.A. and Zotin, A.I. (1997) Phenomenological Theory of Ontogenesis. The International Journal of Developmental Biology, 41, 917-921.
[21]	Zotina, R.S. and Zotin, A.I. (1972) Towards a Phenomenological Theory of Growth. Journal of Theoretical Biology, 35, 213-225. http://dx.doi.org/10.1016/0022-5193(72)90034-3
[22]	Zotin, A.I. and Zotina, R.S. (1993) The Phenomenological Theory of Development, Growth, and Aging. Nauka, Moscow.
[23]	Wolkenstein, M.V. (1975) Molecular Biophysics. Nauka, Moscow.
[24]	Caplan, S.R. and Essig, A. (1983) Bioenergetics and Linear Nonequlibrium Thermodynamics. The Steady State. Harvard University Press, Cambridge.
[25]	Cortassa, S., Aon, M.A. and Westerhoff, H.V. (1991) Linear Nonequilibrium Thermodynamics Describes the Dynamics of an Autocatalytic System. Biophysical Journal, 60, 794-803. http://dx.doi.org/10.1016/S0006-3495(91)82114-2
[26]	Alberty, R.A. (2006) Biochemical Thermodynamics: Applications of Mathematica (Methods of Biochemical Analysis). John Wiley & Sons, Inc., Hoboken.
[27]	Zotin, A.A. (2012) Specific Features in Realization of the Principle of Minimum Energy Dissipation during Individual Development. Biology Bulletin, 39, 213-220. http://dx.doi.org/10.1134/S1062359012030168
[28]	Zotin, A.A. (2009) Patterns of Growth and Energy Metabolism in the Ontogeny of Mollusks. Doctoral (Biology) Thesis, Institute of Developmental Biology RAS, Moscow.
[29]	Zotin, A.I. and Zotina, R.S. (1967) Thermodynamic Aspects of Developmental Biology. Journal of Theoretical Biology, 17, 57-75. 2014-02-14 http://dx.doi.org/10.1016/0022-5193(67)90020-3
[30]	Zotin, A.I. (1985) Thermodynamics and Growth of Organisms in Ecosystems. Canadian Bulletin of Fisheries and Aquatic Sciences, 213, 27-37.
[31]	Ivanter, E.V. (2012) Introduction in Theory of Evolution. Izdatelstvo PetrGU, Petrozavodsk.
[32]	Zotin, A.A. and Vladimirova, I.G. (2001) Respiration Rate and Species-Specific Lifespan in Freshwater Bivalves of Margaritiferidae and Unionidae Families. Biology Bulletin, 28, 273-279. http://dx.doi.org/10.1023/A:1016644621414
[33]	Zotin, A.A. and Ozernyuk, N.D. (2004) Age-Related Changes in Oxygen Consumption in the Edible Mussel Mytilus edulis from the White Sea. Biology Bulletin, 31, 465-468. http://dx.doi.org/10.1023/B:BIBU.0000043772.49729.c9
[34]	Zotin, A.A. (2006) Equations Describing Changes in Weight and Mass-Specific Rate of Oxygen Consumption in Animals during Postembryonic Development. Biology Bulletin, 33, 323-331. http://dx.doi.org/10.1023/B:BIBU.0000043772.49729.c9
[35]	Zotin, A.A. (2010) Energetic Metabolism during Individual Development of Lymnaea stagnalis (Lymnaeidae, Gastropoda): III. Late Postlarval Ontogeny. Biological Bulletin, 37, 596-604. http://dx.doi.org/10.1134/S1062359010060075
[36]	Nikolskaya, I.S., Radzinskaya, L.I. and Prokofjev (1986) Change of Respiration and Wtight of Cricket Acheta domesticus L. during Growth and Aging. Izvestiya Akademii Nauk SSSR, Seriya Biologicheskaya, 4, 628-633.
[37]	Alekseeva, T.A. (1987) Influence of Temperature on Energetic Metabolism of Poikilotherms in Different Periods of Ontogenesis. Ph.D. Thesis, Massachusetts Institute of Developmental Biologe RAS, Moscow.
[38]	Vladimirova, I.G., Kleimenov, S.Yu, Alekseeva, T.A. and Radzinskaya, L.I. (2003) Mass Specific Rate of Growth and Level of Energetic Metabolism during Ontogenesis of Axolotl Ambystoma mexicanum (Amphibia: Ambystomatidae). Izvestiya Akademii Nauk, Seriya Biologicheskaya, 6, 706-711.
[39]	Makhinko, V.I. and Nikitin, V.N. (1977) Constants of the Growth and Functional Periods of Development during Postnatal Life of White Rats. In: Emeljanov, S.V., Ed., Evolution of Rates of Individual Development of Animals, Nauka, Moscow, 249-266.
[40]	Brody, S. (1945) Bioenergetics and Growth. Reinhold, New York.
[41]	Zotin, A.I. and Zotina R.S. (1969) Thermodynamical Approach to Problems of Development, Growth, and Aging. Zhurnal Obshchei Biologii, 30, 94-110.