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Wave propagation in a network of interacting nephrons

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  • Khouhak, Jalal
  • Faghani, Zahra
  • Jafari, Sajad

Abstract

Nephrons are the fundamental units of the kidneys, functioning for the regulation of the blood pressure and maintaining a normal environment for the body’s cells. The nephrons, as the other biological cells, are not isolated and interact with each other. According to the physiological facts, the nephrons have two types of coupling, known as hemodynamic and vascular propagated coupling, which can effect on the neighboring nephrons activities. In this paper, a 2-dimensional network of interacting nephrons is studied by considering a local linear coupling. Spiral waves are special spatiotemporal patterns, having strong relations with the neural and cardiac cells’ activities. Here, we investigate the spatiotemporal patterns of the coupled nephron models in different cases, for finding the possibility of occurrence of spiral waves. The obtained results confirm the appearance of small spiral seeds in the network, when the nephrons have periodic behavior and strong coupling strength. However, it is observed that the small spiral seeds are not stable in time and disappear and reappear in different places.

Suggested Citation

  • Khouhak, Jalal & Faghani, Zahra & Jafari, Sajad, 2019. "Wave propagation in a network of interacting nephrons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 530(C).
    • Handle: RePEc:eee:phsmap:v:530:y:2019:i:c:s0378437119309264
    DOI: 10.1016/j.physa.2019.121566
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