B.V. Rathish Kumar, Department of Mathematics & Statistics, IIT Kanpur, India
Room 306, No.5 Science Building
Hyperkalemia is an ischemic state of a cardiac tissue due to the abnormal variation of extracellular potassium ion concentration and Hypoxia is another well-known ischemic condition of a cardiac tissue due to the abnormal variation in the intra-cellular ATP concentration. It is very essential to analyze and understand how these clinically declared pathological cases would alter the cardiac electric activity characterized in terms of electrophysiological properties, like Activation time (ACTI), Repolarization time (REPO) (i.e. Excitation and Recovery Phase of the Action Potential), Plateau Phase of the Action Potential Resting Potential (RP) and Action Potential Duration (APD). In this talk, we will discuss in detail the modelling and simulation of these cardiac tissue diseases, based on the human ventricular ionic model proposed by ten Tusccher and Panfilov coupled with the tissue level mono-domain model. The existence and uniqueness issues of the model will be addressed and convergence analysis of the Finite Element Scheme will also be presented through apriori error estimation. Results from the elaborated numerical simulations will be discussed. Further, if time permits, the extensions to Cardiac Electro-Mechanical modelling and simulation will also be dealt with.