Self-organized energetic model for collective activity on animal tissue
Michelle C. Varela dos Santos (),
Antonio Macedo-Filho (),
Gustavo Zampier dos Santos Lima () and
Gilberto Corso
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Michelle C. Varela dos Santos: Programa de Pós Graduação em Ciências Biológicas, Centro de Biociências, Universidade Federal do Rio Grande do Norte, 59072-970, Natal, RN, Brazil
Antonio Macedo-Filho: Campus Prof. Antonio Geovanne Alves de Sousa, Universidade Estadual do Piauí, 64260-000, Piripiri-PI, Brazil
Gustavo Zampier dos Santos Lima: Escola de Ciências e Tecnologia, Universidade Federal do Rio Grande do Norte, Natal, RN, Brazil
Gilberto Corso: Departamento de Biofísica e Farmacologia, Centro de Biociências, Universidade Federal do Rio Grande do Norte, 59072-970, Natal, RN, Brazil
International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 06, 1-9
Abstract:
We construct a self-organized critical (SOC) model to explain spontaneous collective activity in animal tissue without the necessity of a muscular or a central control nervous system. Our prototype model is an epithelial cuboid tissue formed by a single layer of cells as the internal digestive cavity of primitive animals. The tissue is composed by cells that absorb nutrients and store energy, with probability p, to participate in a collective tissue activity. Each cell can be in two states: at high energy and able to became active or at low metabolic energy and remain at rest. Any cell can spontaneously, with a very low probability, spark a collective activity across its neighbors that share a minimal energy. Cells participating in tissue activity consume all their energy. A power-law relation P(s)∝sγ for the probability of having a collective activity with s cells is observed. By construction this model is analogue to the forest fire SOC model. Our approach produces naturally a critical state for the activity in animal tissue, besides it explains self-sustained activity in a living animal tissue without feedback control.
Keywords: Self-organized criticality; avalanche; peristaltism; fire forest model; animal complexity (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:28:y:2017:i:06:n:s0129183117500760
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DOI: 10.1142/S0129183117500760
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