Abstract
A mathematical model simulating the influence of environment (ENV) on aging of living systems is proposed. The model is based on the concept of continuous adaptation of a biological system (BS) to ENV from the moment of its birth. The adaptation rate as the rate of risk of destruction accumulation is regarded as a competition between two concurrent processes—BS destruction and recombination of damages defined by kinetics of autocatalytic chemical reactions. The effect of ENV is taken into account by model parameters, which in general are time-dependent. The model reflects the rules of thermodynamics and gerontology as well as the typical results of medical experiments.
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Alekhnovich, A.V., Ivanov, V.B., Il’yashenko, K.K., and El’kov, A.N., Kompensatornye mekhanizmy i prisposobitel’nye protsessy pri ostrykh otravleniyakh psikhotropnymi preparatami (Compensatory Mechanisms and Adaptation to Acute Poisoning by Psychotropic Drugs), Moscow: Vash Poligraf. Partner, 2010.
Anisimov, V.N., Molekulyarnye i fiziologicheskie mekhanizmy stareniya (Molecular and Physiological Mechanisms of Senescence), St. Petersburg: Nauka, 2008, vol. 1.
Viktorov, A.A., A method of forecasting of durability of solids affected by thermal, chemical, and radiation factors, Doctoral Sci. (Tech.) Dissertation, Moscow, 1990.
Vodop’yanov, P.A., Ustoichivost’ v razvitii zhivoi prirody (Importance of Resistnace in Development of Nature), Minsk: Nauka i Tekhnika, 1974, pp. 34–37.
Golikov, S.N., Sanotskii, I.V., and Tiunov, L.A., Obshchie mekhanizmy toksicheskogo deistviya (Common Mechanisms of Intoxication), Leningrad: Meditsina, 1986.
Gradshtein, I.S. and Ryzhik, I.M., Tablitsy integralov, sum, ryadov, i proizvedenii (Tables of Integrals, Sums, Series, and Products), Moscow: Izd. Fiz.-Mat. Liter., 1963.
Gribanova, T.N., Novosel’tsev, V.N., and Khal’fin, R.A., Mathematical model of the life cycle of organism (habitat and life duration), Ezheg. Nats. Gerontol. Tsentra, 1998, no. 1, pp. 57–63.
Dontsov, V.I., Krut’ko, V.N., and Podkolzin, A.A., Starenie: mekhanizmy i puti preodoleniya (Senescence: Mechanism and Overcoming Methods), Moscow: Bioinformservis, 1997.
El’kov, A.N., Il’yashenko, K.K., Gol’dfrab, Yu.S., et al., Experience of implementation of factorial analysis in clinical toxicology, Preprint of Keldysh Inst. of Applied Mathematics, Ross. Acad. Sci., Moscow, 2005, no. 127.
Eremin, E.N., Osnovy khimicheskoi kinetiki (Fundamental Chemical Kinetics), Moscow: Vysshaya Shkola, 1976.
Zhurkov, S.N. and Narzulaev, B.N., Time dependence of the strength of solids, Zh. Tekh. Fiz., 1953, vol. 23, no. 10, pp. 1677–1689.
Zel’dovich, Ya.B. and Myshkis, A.D., Elementy prikladnoi matematiki (Elements of Applied Mathematics), Moscow: Nauka, 1972, p. 69.
Zel’dovich, Ya.B., Barenblatt, G.I., Librovich, V.B., and Makhviladze, G.M., Matematicheskaya teoriya goreniya i vzryva (The Mathematical Theory of Combustion and Explosion), Moscow: Nauka, 1980.
Ivanitskii, G.R., 21st Century: What is life from the perspective of physics?, Phys.-Usp., 2010, vol. 53, no. 4, pp. 327–356.
Krut’ko, V.N., Slavin, M.B., and Smirnova, T.M., Matematicheskie osnovaniya gerontologii (Mathematical Principles of Gerontology), Krut’ko, V.N., Ed., Moscow: Editorial URSS, 2002.
Lisitsyn, Yu.P. and Petlenko, V.P., Determinatsionnaya teoriya meditsiny: doktrina adaptivnogo reagirovaniya (Determination Theory of Medicine: Doctrine of Adaptive Response), St. Petersburg: Gippokrat, 1992.
Mashintsov, E.A., Kuznetsov, A.A., Lebedev, A.M., and Novosel’tsev, V.N., Matematicheskie modeli i metody otsenki ekologicheskogo sostoyaniya territorii (Mathematical Models and Assessment Methods of Environmental Conditions of the Territories), Moscow: Izd. Fiz.-Mat. Liter., 2010.
Myakotnykh, V.S., Osnovnye teorii stareniya: kratkaya annotatsiya dlya prakticheskikh vrachei (General Theories of Senescence: Brief Annotation for General Practitioners), Moscow: Gos. Vestn., 2005, no. 2, pp. 25–28.
Nikolis, G. and Prigozhin, I., Samoorganizatsiya v neravnovesnykh sistemakh (Self-Organization in Nonequilibrium Systems) Moscow: Mir, 1979.
Semenov, N.N., Kinetics of complex homogeneous reactions, Zh. Fiz.-Khim., 1943, vol. 17, no. 4, p. 187.
Strehler, B., Time. Cells and Aging, New York: Academic Press, 1962.
Trincher, K.S., Biologiya i informatsiya. Elementy biologicheskoi termodinamiki (Biology and Information. Elements of Biological Thermodynamics), Moscow: Nauka, 1964.
Frank-Kamenetskii, D.A., Diffuziya i teploperedacha v khimicheskoi kinetike (Diffusion and Heat Transfer in Chemical Kinetics), Moscow: Nauka, 1967, 2nd ed.
Kholodnov, V.A., Description of the Geiger mode in avalanche p-i-n photodiodes by elementary functions, Tech. Phys. Lett., 2009, vol. 35, no. 8, pp. 744–748.
Shafirkin, A.V., Shtemberg, A.S., Esaulenko, I.E., and Popov, V.I., Ekologiya, sotsial’nyi stress, zdorov’e naseleniya i demograficheskie problemy Rossii (Ecology, Social Stress, Health of Population, and Demographic Problems of Russia), Voronezh: Nauchnaya Kniga, 2009.
Ekologicheskaya pediatriya (Ecological Pediatrics), Tsaregorodtseva, A.D., Ed., Moscow: Triada-X, 2011.
Groves, C., Tan, C.H., David, J.P.R., et al., Exponential time response in analogue and Geiger mode avalanche photodiodes, IEEE Trans. Electron Devices, 2005, vol. 52, no. 7, pp. 1527–1534.
Schroedinger, E., What Is Life?, Cambridge Univ. Press, 1944, p. 12.
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Original Russian Text © A.A. Viktorov, V.A. Kholodnov, V.D. Gladkikh, A.V. Alekhnovich, 2013, published in Uspekhi Gerontologii, 2013, Vol. 26, No. 1, pp. 52–57.
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Viktorov, A.A., Kholodnov, V.A., Gladkikh, V.D. et al. Influence of environment on aging of living systems: A mathematical model. Adv Gerontol 3, 255–260 (2013). https://doi.org/10.1134/S2079057013040103
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DOI: https://doi.org/10.1134/S2079057013040103