Mathematical modeling in biology: Systems capable to live and die

Automation and Remote Control

Volumn 67, Issue 6, 2006, Pages 835-855

  Novosel'tsev, V N ^a  

^a TRAPEZNIKOV INSTITUTE OF CONTROL SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER AIDED ANALYSIS; COMPUTER SIMULATION; MATHEMATICAL MODELS; MICROORGANISMS; THEOREM PROVING;

BIOLOGICAL SYSTEMS; BIOTECHNICAL APPLICATIONS; HOMEOSTATIC APPROACH; MATHEMATICAL MODELING;

BIOTECHNOLOGY;

EID: 33745316001     PISSN: 00051179     EISSN: None     Source Type: Journal    
DOI: 10.1134/S0005117906060014     Document Type: Review

References (76)

1. Romanovskii, Yu.M., Stepanova, N.V., and Chernavskii, D.S., Matematicheskoe modelirovanie v biofizike (Mathematical Modeling in Biophysics), Moscow: Nauka, 1975.
2. Nesse, R.M. and Williams, G.C., Evolution by Natural Selection, in Evolution and Healing, Nesse, R.M. and Williams, G.C., Eds., London: Weidenfeld and Nicolson, 1995, pp. 13-25.
3. Novosel'tsev, V.N. and Yashin, A.I., Horizons of Mathematical Modeling, in Proc. Int. Conf. "Paralel Computations and Problems of Control, RASO-2001", CD-ROM, Moscow: Inst. Probl. Upravlen., 2001, pp. 214-244.
4. Inzhenernaya fiziologiya i modelirovanie sistem organizma (Engineering Physiology and Modeling of Organism's Systems), Novosel'tsev, V.N., Ed., Novosibirsk: Nauka, 1987.
5. Karr, Ya., Mekhanizmy biologicheskoi zashchity (Mechanisms of Biological Protection), Moscow: Meditsina, 1976.
6. Ostreikovskii, V.A., Teoriya nadezhnosti (Reliability Theory), Moscow: Vysshaya Shkola, 2003.
7. Rose, M.R., Evolutionary Biology of Aging, Oxford: Oxford Univ. Press, 1991.
8. Partridge, L. and Barton, N.H., Optimality, Mutation and the Evolution of Ageing, Nature, 1993, vol. 362, pp. 305-311.
9. Carey, J.R., Liedo, P., and Müller, H.-G., Relationship of Age Patterns of Fecundity to Mortality, Longevity, and Lifetime Reproduction in a Large Cohort of Mediterranean Fruit Fly Females, J. Geront. Biol. Sci., 1998, vol. 53A, pp. B245-B251.
10. Kowald, A. and Kirkwood, T.B.L., Accumulation of Defective Mitochondria through Delayed Degradation of Damaged Organelles and Its Possible Role in the Aging of Post-mitotic and Dividing Cells, J. Theor. Biol., 2000, vol. 202, pp. 145-160.
11. Belotserkovskii, O.M., New Century - New Approaches to Turbulence Based on the Advanced Technologies of Mathematical Modeling and Parallel Computations, in Mat. modelirovanie. Problemy i rezul'taty (Mathematical Modeling. Problems and Results), Moscow: Nauka, 2003.
12. In silico Simulation of Biological Processes, in Novartis Foundation Symposium, McCulloch, A. and Huber, G., Eds., New York: Wiley, 2003.
13. Di Stefano, J.J. III, The Modeling Methodology Forum: An Expanded Department. Additional Guidelines, Am. J. Physiol., 1984, no. 1, p. 150.
14. Samarskii, A.A. and Mikhailov, A.P., Matematicheskoe modelirovanie. Idei. Metody. Primery (Mathematical Modeling. Ideas. Methods. Examples), Moscow: Fizmatlit, 2002.
15. Pletcher, S.D. and Neuhauser, C., Biological Aging. Criteria for Modeling and a New Mechanistic Model, Int. J. Modern Physics C, 2000, vol. 11, pp. 525-546.
16. Lande, R., The Response on Major and Minor Mutations Affecting a Metrical Trait, Heredity, 1983, vol. 50, pp. 47-65.
17. Penna, T.J.P., A Bit-string Model for Biological Aging, J. Statist. Physics, 1995, vol. 78, pp. 1629-1633.
18. Larsen, P.L., Albert, P.S., and Riddle, D.L., Interacting Genes Regulate Dauer Larva Development and Adult Life Span in C.elegans, Working Paper in the Library of Max-Planck Inst. of Demographical Studies, Univ. of Missouri, 1994.
19. Yashin, A.I., Vaupel, J.W., and Iachine, I.A., A Duality in Aging: The Equivalence of Mortality Models Based on Radically Different Concepts, Mech. Aging Dev., 1994, vol. 74, pp. 1-14.
20. Yashin, A.I., Begun, A.S., Boiko, S.I., Ukraintseva, S.V., and Oeppen, J., The New Trends in Survival Improvement Require a Revision of Traditional Gerontological Concepts, Exp. Gerontol., 2001, vol. 37, pp. 157-167.
21. Logofet, D.O., Mathematical Model in Ecology: False Toy or Tool of Cognition?, in Matematika, komp'yuter, obrazovanie (Mathematics, Computer, Education), Moscow: Progress-Traditsiya, 2001, vol. 8.
22. Novosel'tsev, V.N., Upravlenie na organizmennom urovne: biofizika i biokibernetika (Control at the Level of Organism: Biophysics and Biocybernetics), Pushchino: NTS Biologicheskikh Issledovanii, 1982.
23. Dawkins, R., The Selfish Gene, Oxford: Oxford Univ. Press, 1989.
24. Novosel'tsev, V.N., Mathematical Modeling of Organism, in Nauka v Rossii (Science in Russia), 2003, no. 1, pp. 52-58.
25. Wiener, N., Cybernetics, New York: Wiley, 1948.
26. Translated under the title Osnovy kibernetiki, Moscow: Sovetskoe Radio, 1956.
27. Novosel'tsev, V.N., Teoriya upravleniya i biosistemy. Analiz sokhranitel'nykh svoistv (Theory of Control and Biosystems. Analysis of Preservative Properties), Moscow: Nauka, 1978.
28. Novosel'tsev, V.N., Analysis of the Aims of Control in Engineering and Natural-technology Systems, in Sb. tr. In-ta probl. upr. (Collections of Work of the Inst. of Control Sciences), 1996, vol. 3, pp. 5-14.
29. Novosel'tsev, V.N., Modeling of the Natural Technologies of the Organism for Studying the Processes of Control of its Vital Activity, Avtom. Telemekh., 1992, no. 12, pp. 96-105.
30. Novosel'tsev, V.N., Khal'fin, R.A., and Gribanova, T.N., Modeling of the Human Organism as a Whole for the Problems of Control of the Biosocial and Biotechnical Processes, Prib. Sist. Upravlen., 1998, no. 6, pp. 66-73.
31. Dagaev, V.N. and Novosel'tsev, V.N., Parametrization of the Pharmacokinetic Models for Studying the Control Processes in Organism, Avtom. Telemekh., 1995, no. 4, pp. 130-144.
32. Parin, V.V. and Baevskii, R.M., Vvedenie v meditsinskuyu kibernetiku (Introduction to Medical Cybernetics), Moscow: Meditsina, 1966.
33. Shumakov, V.I., Novosel'tsev, V.N., Sakharov, M.I., and Shtengol'd, E.Sh., Modelirovanie fiziologicheskikh sistem organizma (Modeling of the Physiological Systems of Organism), Moscow: Meditsina, 1971.
34. Antomonov, Yu.G., Modelirovanie biologicheskikh sistem. Spravochnik (Modeling of Biological Systems. Manual), Kiev: Naukova Dumka, 1977.
35. Novosel'tsev, V.N., Organizm v mire tekhniki (Organism in the Technical World), Moscow: Nauka, 1989.
36. Riznichenko, G.Yu., Lektsii po matematicheskomu modelirovaniyu v biologii. I (Lectures on Mathematical Modeling in Biology. I), Moskva: RKHD, 2002.
37. Fries, J.F., Aging, Natural Death and the Compression of Morbidity, New England J. Med., 1980, vol. 303, pp. 130-135.
38. Good, T.P. and Tatar, M., Age-specific Mortality and Reproduction Respond to Adult Dietary Restriction in Drosophila Melanogaster, J. Insect. Physiol., 2001, vol. 47, pp. 1467-1473.
39. Yashin, A.I. and Manton, K.G., Effects of Unobserved and Partially Observed Covariate Processes on System Failure: A Review of Models and Estimation Strategies, Statist. Sci., 1997, vol. 12, pp. 20-34.
40. Yashin, A.I., Iashine, I.A., and Begun, A.S., Mortality Modeling, Math. Pop. Studies., 2000, vol. 5, pp. 305-332.
41. Vaupel, J.W., Manton, K.G., and Stallard, E., The Impact of Heterogeneity in Individual Frailty on the Dynamics of Mortality, Demography, 1979, vol. 16, pp. 439-454.
42. Novosel'tsev, V.N., Interdisciplinary Modeling: A Possible Approach to Analysis of Catastrophes, Avtom. Telemekh., 1998, no. 2, pp. 101-111.
43. Mashintsov, E.A. and Yakovlev, A.E., Formulation of the Problem of Modeling the Life Cycle of Organism with Regard for the Impact of the External and Internal Factors of Ageing, in Ekologicheskie problemy tul'skogo regiona (Ecological Problems of the Tula Region), Tula, 2002, pp. 116-126.
44. Vasil'ev, V.P., Kuznetsov, A.A., Mashintsov, E.A., and Yakovlev, A.E., Mathematical Model of the Life Cycle of Human Organism, in Geoinformatsionnye tekhnologii v reshenii regional'nykh problem: sb. nauch. tr. (Geoinformation Technologies to Solve Regional Problems), Tula: Tul. Gos. Univ., 2001, pp. 82-95.
45. Mashintsov, E.A. and Yakovlev, A.E., Mathematical Modeling of Human Life Cycle and Quality of Population Health, Avtom. Telemekh., 2006, no. 4, pp. 154-168.
46. Mashintsov, E.A., Novosel'tsev, V.N., and Yakovlev, A.E., Matematicheskoe modelirovanie zhiznennogo tsikla cheloveka i kachestvo zdorov'ya naseleniya (Mathematical Modeling of Human Life Cycle and Quality of Population Health), Moscow: Inst. Probl. Upravlen., 2006.
47. Casarett, L.J. and Doull, J., Toxicology. The Basic Science of Poisons, New York: McMillan, 1975.
48. Litvinov, N.N., Novosel'tsev, V.N., Il'yashenko, K.K., and El'kov, A.N., Acute Poisoning by Chlorine - Analysis of Pathogenesis by Mathematical Modeling, Toksikologicheskii Vest., 2002, no. 6, pp. 27-31.
49. Litvinov, N.N., Novosel'tsev, V.N., Ostapenko, Yu.N., et al., Mathematical Modeling of Acute Actions on Man of the Industrial Chemical Substance (with an Example of Ammonia), Meditsina Katastrof, 1997, no. 3(19), pp. 54-59.
50. Komfort, A., Biologiya stareniya (Biology of Ageing), Moscow: Nauka, 1967.
51. Harman, D., Extending Functional Life Span, Exp. Gerontol., 1998, vol. 33, pp. 95-112.
52. Novosel'tsev, V.N., Novosel'tseva, Zh.A., and Yashin, A.I., Ageing of Insects. I. Experimental Results and Modern Concepts, Uspekhi Gerontologii, 2000, no. 4, pp. 122-131.
53. Carey, J., How Mediterranean Fruit Flies Resist Aging, Live Long and Remain Fertile, in Paradoxes of Longevity, Robine, J.-M., Forette, B., Franceschi, C., and Allard, M., Eds., New York: Plenum, 1999, pp. 23-34.
54. Anisimov, V.N., Molekulyarnye i fiziologicheskie mekhanizmy stareniya (Molecular and Physiological Mechanisms of Ageing), St. Petersburg: Nauka, 2003.
55. Economos, A.C., Rate of Aging, Rate of Dying and the Mechanism of Mortality, Arch. Geront. Geriatr., 1982, vol. 1, pp. 3-27.
56. Harman, D., The Free-radical Theory of Aging, in Modern Biological Theories of Aging, Warner, H.R., Sprott, R.L., Butler, R.N., and Shneider, E.L., Eds., New York: Wiley, 1987, pp. 81-87.
57. Orr, W.C., Senescence: in Search of Casuality, Dev. Genet., 1996, vol. 18, pp. 93-98.
58. Sohal, R.S. and Weindruch, R., Oxidative Stress, Caloric Restriction, and Aging, Science, 1996, vol. 273, pp. 59-63.
59. Pearl, R., The Rate of Living, New York: Knopf, 1928.
60. Miquel, J., Oro, J.L., Bench, K.G., and Johnson, J.E., Jr., Effects of Temperature on the Life Span Vitality and Fine Structure of Drosophila Melanogaster, Mech. Ageing Dev., 1976, vol. 5, pp. 347-370.
61. Lints, F.A., The Rate of Living Theory Revisited, Gerontology, 1989, vol. 35, pp. 36-57.
62. Sohal, R.S., The Rate of Living Theory: A Contemporary Interpretation, in Insect Ageing. Strategies and Mechanisms, Collatz, K.-G. and Sohal, R.S., Eds., New York: Springer, 1986, pp. 23-43.
63. Clarke, J.M. and Maynard Smith, J., Two Phases of Ageing in Drosophila Subobscura, J. Exp. Biol., 1961, vol. 38, pp. 679-684.
64. Kol'tover, V.K., Free-radical Theory of Ageing: State-of-Art and Outlooks, Uspekhi Gerontologii, 1998, vol. 2, pp. 37-42.
65. Fleming, J.E., Reveillaud, I., and Niedzwiecki, A., Role of Oxidative Stress in Drosophila Aging, Mutation Res., 1992, vol. 275, pp. 267-279.
66. Khalyavkin, A.V. and Yashin, A.I., Normal Ageing as the Result of Response of the Organism Control Systems to External Signals Unfavorable to its Full Self-support. I., Probl. Upravlen., 2004, no. 4, pp. 57-61.
67. Novoseltsev, V.N., Carey, J., Liedo, P., et al., Anticipation of Oxidative Damage Decelerates Aging in Virgin Female Medflies: A Hypothesis Tested by Statistical Modeling, Exp. Gerontol., 2000, vol. 35, pp. 971-987.
68. Novosel'tsev, V.N., Novosel'tseva, Zh.A., and Yashin, A.I., Ageing of Insects. II. Homeostatic Model, Uspekhi Gerontologii, 2000, no. 4, pp. 132-140.
69. Exercise: Regulation and Integration of Multiple Systems, in Handbook of Physiology, Rowell, L.B. and Sheperd, J.T., Eds., New York: Oxford Univ. Press, 1996.
70. Novoseltsev, V.N., Novoseltseva, J.A., Boyko, S.I., and Yashin, A.I., What Fecundity Patterns Indicate about Aging and Longevity: Insights from Drosophila Studies, J. Gerontol., Biological Sci., 2003, vol. 68A, pp. 484-494.
71. Smidt-Nielsen, K., Animal Physiology, Cambridge: Cambridge Univ. Press, 1997.
72. Guyton, A., Textbook on Medical Physiology, Philadelphia: Wiley, 1981.
73. Strehler, B.L. and Mildwan, A.S., General Theory of Mortality and Aging, Science, 1960, vol. 132, pp. 14-21.
74. Maynard Smith, J., Temperature and the Rate of Aging in Poikiloterms, Nature, 1963, vol. 4891, pp. 400-402.
75. Novoseltsev, V.N., Novoseltseva, J.A., and Yashin, A.I., A Homeostatic Model of Oxidative Damage Explains Paradoxes Observed in Earlier Aging Experiments: A Fusion and Extension of Older Theories of Aging, Biogerontology, 2001, vol. 2, pp. 127-138.
76. Novoseltsev, V.N. and Yashin, A.I., Aging of Technological Systems: Analogy between Biological Populations and Human-engineering Systems, in Preprint of IFAC Symposium on Social Stability, Wien, 2001, pp. 261-267.