Abstract A mathematical model of the dynamics of cardiomyocyte death in myocardial infarction during the acute phase of the disease is developed. An economical computing technology of structural and parametric identification of model equations is presented based on the use of experimental data as dynamic parameters and on the idea of splitting the inverse coefficient problem with a large number of unknown parameters into a sequence of simpler inverse problems. The relevance of the proposed mathematical model is confirmed by comparison of the numerical solution to the problem with experimental data and also with the results of modelling of known therapeutic strategies.

中文翻译：

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心肌梗死急性期的数学建模

摘要 建立了心肌梗死急性期心肌细胞死亡动力学的数学模型。基于将实验数据作为动力学参数，基于将具有大量未知参数的逆系数问题分解为一系列更简单的逆问题的思想，提出了一种经济的模型方程结构参数辨识计算技术。通过将问题的数值解与实验数据以及已知治疗策略的建模结果进行比较，证实了所提出的数学模型的相关性。