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arXiv · 0907.4628

Stable States of Biological Organisms

V. I. Yukalov·D. Sornette·E. P. Yukalova·J. -Y. Henry·J. P. Cobb
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Abstract

A novel model of biological organisms is advanced, treating an organism as a self-consistent system subject to a pathogen flux. The principal novelty of the model is that it describes not some parts, but a biological organism as a whole. The organism is modeled by a five-dimensional dynamical system. The organism homeostasis is described by the evolution equations for five interacting components: healthy cells, ill cells, innate immune cells, specific immune cells, and pathogens. The stability analysis demonstrates that, in a wide domain of the parameter space, the system exhibits robust structural stability. There always exist four stable stationary solutions characterizing four qualitatively differing states of the organism: alive state, boundary state, critical state, and dead state.

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BibTeXRIS

V. I. Yukalov, D. Sornette, E. P. Yukalova, J. -Y. Henry, J. P. Cobb. 2009-07-27. Stable States of Biological Organisms. https://doi.org/10.2478/v10005-009-0006-1

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