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Cooperative mechanism of self-regulation in hierarchical living systems

1998/08/19 by Ihor Lubashevsky, I. A. Lubashevsky, Lubashevsky, I. A. +2
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · Neuroscience · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Biological sciences #FOS: Physical sciences #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #Quantitative Biology (q-bio) #Slime Mold and Myxomycetes Research #adap-org #nlin.AO #q-bio

paper · pdf · doi:10.48550/arxiv.adap-org/9808003

32 pages, 11 figures (we use siamltex.sty)

arxiv created 1998/08/19 · openalex publication_date 1998/08/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the problem of how a ``living'' system complex in structure can respond perfectly to local changes in the environment. Such a system is assumed to consist of a distributed ``living'' medium and a hierarchical ``supplying'' network that provides this medium with ``nutritious'' products. Because of the hierarchical organization each element of the supplying network has to behave in a self-consistent way for the system can adapt to changes in the environment. We propose a cooperative mechanism of self-regulation by which the system as a whole can react perfectly. This mechanism is based on an individual response of each element to the corresponding small piece of the information on the state of the ``living'' medium. The conservation of flux through the supplying network gives rise to a certain processing of information and the self-consistent behavior of the elements, leading to the perfect self-regulation. The corresponding equations governing the ``living'' medium state are obtained.

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