ANALYTICAL REVIEW OF EXISTING CARDIOVASCULAR MATHEMATICAL MODELS
Keywords:
Cardiovascular system, mathematical modeling, analytical review, blood flow, hemodynamics, cardiac function, computational modeling, disease prediction, personalized medicine, model validation.Abstract
This article presents an analytical review of existing mathematical models used in cardiovascular research. The study examines the main approaches to modeling cardiovascular system dynamics, including lumped-parameter models, computational fluid dynamics models, electrophysiological models, and multiscale models. The review highlights how mathematical modeling helps describe blood flow, pressure changes, heart function, vascular resistance, and interactions between different components of the cardiovascular system. Special attention is given to the role of models in disease prediction, diagnosis support, treatment planning, and evaluation of therapeutic interventions. The analysis shows that existing cardiovascular mathematical models provide valuable tools for understanding complex physiological processes; however, their accuracy depends on the quality of input data, model assumptions, and validation against clinical or experimental results. The article concludes that the further development of personalized and data-driven cardiovascular models can improve the practical application of mathematical modeling in modern medicine.
