Mathematical Models and Methods in Applied Sciences ( IF 3.6 ) Pub Date : 2022-07-25 , DOI: 10.1142/s021820252250035x Simone Stella 1 , Francesco Regazzoni 1 , Christian Vergara 2 , Luca Dedé 1 , Alfio Quarteroni 1
We present a new model of human cardiac electromechanics for the left ventricle where electrophysiology is described by a Reaction–Eikonal model and which enables an off-line resolution of the reaction model, thus entailing a big saving of computational time. Subcellular dynamics is coupled with a model of tissue mechanics, which is in turn coupled with a Windkessel model for blood circulation. Our numerical results show that the proposed model is able to provide a physiological response to changes in certain variables (end-diastolic volume, total peripheral resistance, contractility). We also show that our model is able to reproduce with high accuracy and with a considerably lower computational time the results that we would obtain if the monodomain model should be used in place of the Eikonal model.
中文翻译:
耦合 Eikonal 和非线性力学方程的快速心脏机电模型
我们提出了一种新的左心室人体心脏机电模型,其中电生理学由反应-Eikonal 模型描述,并且可以离线解析反应模型,从而大大节省计算时间。亚细胞动力学与组织力学模型相结合,后者又与血液循环的 Windkessel 模型相结合。我们的数值结果表明,所提出的模型能够对某些变量(舒张末期容积、总外周阻力、收缩力)的变化提供生理反应。我们还表明,如果应该使用单域模型代替 Eikonal 模型,我们的模型能够以高精度和相当短的计算时间重现我们将获得的结果。