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The S-Lagrangian and a theory of homeostasis in living systems

Author

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  • Sandler, U.
  • Tsitolovsky, L.

Abstract

A major paradox of living things is their ability to actively counteract degradation in a continuously changing environment or being injured through homeostatic protection. In this study, we propose a dynamic theory of homeostasis based on a generalized Lagrangian approach (S-Lagrangian), which can be equally applied to physical and nonphysical systems. Following discoverer of homeostasis Cannon (1935), we assume that homeostasis results from tendency of the organisms to decrease of the stress and avoid of death. We show that the universality of homeostasis is a consequence of analytical properties of the S-Lagrangian, while peculiarities of the biochemical and physiological mechanisms of homeostasis determine phenomenological parameters of the S-Lagrangian. Additionally, we reveal that plausible assumptions about S-Lagrangian features lead to good agreement between theoretical descriptions and observed homeostatic behavior. Here, we have focused on homeostasis of living systems, however, the proposed theory is also capable of being extended to social systems.

Suggested Citation

  • Sandler, U. & Tsitolovsky, L., 2017. "The S-Lagrangian and a theory of homeostasis in living systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 540-553.
    • Handle: RePEc:eee:phsmap:v:471:y:2017:i:c:p:540-553
    DOI: 10.1016/j.physa.2016.12.060
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    References listed on IDEAS

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    1. Sandler, U., 2014. "Generalized Lagrangian dynamics of physical and non-physical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 1-20.
    2. Zadeh, Lotfi A., 2006. "Generalized theory of uncertainty (GTU)--principal concepts and ideas," Computational Statistics & Data Analysis, Elsevier, vol. 51(1), pages 15-46, November.
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    Cited by:

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    2. Sandler, U., 2023. "Evolutionary quantization and matter-antimatter distribution in accelerated expanding of Universe," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).
    3. Sandler, U., 2017. "S-Lagrangian dynamics of many-body systems and behavior of social groups: Dominance and hierarchy formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 218-241.

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