Stable States of Biological Organisms
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.
Keywords
Cite
@article{arxiv.0907.4628,
title = {Stable States of Biological Organisms},
author = {V. I. Yukalov and D. Sornette and E. P. Yukalova and J. -Y. Henry and J. P. Cobb},
journal= {arXiv preprint arXiv:0907.4628},
year = {2015}
}
Comments
Latex file, 12 pages, 4 figures