{"title":"MATHEMATICAL MODEL OF HEMODYNAMIC RESTRUCTURING IN THE ENVIRONMENT OF A VASCULAR MALFORMATION DURING NEUROSURGICAL INTERVENTION","authors":"A. A. Cherevko, T. S. Sharifullina, V. A. Panarin","doi":"10.1134/S0021894424010115","DOIUrl":null,"url":null,"abstract":"<p>An approach is proposed to model hemodynamics in an arteriovenous malformation and its vascular environment during neurosurgical embolization. This approach is based on a combination of the filtration flow model for blood and embolic agent in the malformation and the hydraulic approximation for the vessels surrounding the malformation. The model is described mathematically by a system of integrodifferential hyperbolic equations. The parameters and functions included in the model are determined using clinical data from real patients. Based on this model, the problem of optimal control of multistage embolization was formulated and studied numerically in a special class of controls. Optimal embolization regimes were found for which there is good agreement between the calculated and clinical data. The proposed approach can be used to develop preoperative recommendations about the optimal surgical intervention tactics.</p>","PeriodicalId":608,"journal":{"name":"Journal of Applied Mechanics and Technical Physics","volume":"65 1","pages":"92 - 104"},"PeriodicalIF":0.5000,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mechanics and Technical Physics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0021894424010115","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
An approach is proposed to model hemodynamics in an arteriovenous malformation and its vascular environment during neurosurgical embolization. This approach is based on a combination of the filtration flow model for blood and embolic agent in the malformation and the hydraulic approximation for the vessels surrounding the malformation. The model is described mathematically by a system of integrodifferential hyperbolic equations. The parameters and functions included in the model are determined using clinical data from real patients. Based on this model, the problem of optimal control of multistage embolization was formulated and studied numerically in a special class of controls. Optimal embolization regimes were found for which there is good agreement between the calculated and clinical data. The proposed approach can be used to develop preoperative recommendations about the optimal surgical intervention tactics.
期刊介绍：
Journal of Applied Mechanics and Technical Physics is a journal published in collaboration with the Siberian Branch of the Russian Academy of Sciences. The Journal presents papers on fluid mechanics and applied physics. Each issue contains valuable contributions on hypersonic flows; boundary layer theory; turbulence and hydrodynamic stability; free boundary flows; plasma physics; shock waves; explosives and detonation processes; combustion theory; multiphase flows; heat and mass transfer; composite materials and thermal properties of new materials, plasticity, creep, and failure.
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