{"title":"Minimal Model of the Dependence of Stresses in a Cerebral Vessel Wall on Smooth Muscle Cell Parameters","authors":"N. Kh. Shadrina","doi":"10.1134/s0006350923050263","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>A minimal mathematical model of the wall of a small arterial vessel was created based on the published results of experiments with rat cerebral vessels. It was assumed that the active stress has only a circumferential component and depends on the circumferential stretch, the calcium concentration in the cytoplasm, and the membrane potential of smooth muscle cells. The model of a small artery qualitatively reproduces the results of more sophisticated models of other vessels under normal physiological conditions. Unlike in a similar model with a single cell parameter taken into account, the addition of the membrane potential as one of the main parameters made it possible to detect a qualitative change that occurs in the dependence of circumferential stress on the stretch and radial coordinate with a change in vascular tone. At fixed values of the membrane potential and calcium concentration in the phase of vascular tone development, the stress decreases towards the outer wall of the vessel and increases with the increasing stretch. Once the tone has formed, the direction of changes in circumferential stress reverses.</p>","PeriodicalId":493,"journal":{"name":"Biophysics","volume":null,"pages":null},"PeriodicalIF":4.0330,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Biophysics","FirstCategoryId":"4","ListUrlMain":"https://doi.org/10.1134/s0006350923050263","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Biochemistry, Genetics and Molecular Biology","Score":null,"Total":0}
引用次数: 0
Abstract
A minimal mathematical model of the wall of a small arterial vessel was created based on the published results of experiments with rat cerebral vessels. It was assumed that the active stress has only a circumferential component and depends on the circumferential stretch, the calcium concentration in the cytoplasm, and the membrane potential of smooth muscle cells. The model of a small artery qualitatively reproduces the results of more sophisticated models of other vessels under normal physiological conditions. Unlike in a similar model with a single cell parameter taken into account, the addition of the membrane potential as one of the main parameters made it possible to detect a qualitative change that occurs in the dependence of circumferential stress on the stretch and radial coordinate with a change in vascular tone. At fixed values of the membrane potential and calcium concentration in the phase of vascular tone development, the stress decreases towards the outer wall of the vessel and increases with the increasing stretch. Once the tone has formed, the direction of changes in circumferential stress reverses.
BiophysicsBiochemistry, Genetics and Molecular Biology-Biophysics
CiteScore
1.20
自引率
0.00%
发文量
67
期刊介绍：
Biophysics is a multidisciplinary international peer reviewed journal that covers a wide scope of problems related to the main physical mechanisms of processes taking place at different organization levels in biosystems. It includes structure and dynamics of macromolecules, cells and tissues; the influence of environment; energy transformation and transfer; thermodynamics; biological motility; population dynamics and cell differentiation modeling; biomechanics and tissue rheology; nonlinear phenomena, mathematical and cybernetics modeling of complex systems; and computational biology. The journal publishes short communications devoted and review articles.
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