Session S34.4

Reconstruction from Experimental Data of a Mathematical Model of Cardiac Tissue: A Feasibility Study

T Bakir, B Xu, S Jacquir, S Binczak*

Université de Bourgogne
Dijon, France

Multielectrode arrays (MEAs) are widely used in experimental investigation of cellular activities in cardiac domains. The MEAs allow extracellular potential recordings of cardiac cells in culture in vitro. Recorded signals can be analyzed by mathematical models. Usually, these models use normalized parameters and describe qualitatively the dynamics of the cardiac cells electrical activities. Another approach is to identify intrinsic parameters resulting of experimental signals and to establish a cardiac cell inspired model. This approach is based on estimation and identification of parameters largely used in the optimization theory. The aim of this work is to quantify some parameters of a mathematical model which will mimic the cardiac cells activities in experimental conditions. The methodology consists firstly on a choice of an adequate model. Then, an enough number of signals must be recorded to identify the unknown parameters of the model. However, the number, the size and the distance between electrodes are limited because of physical constraints (surface, types of electrodes, price, acquisition setup…). The proposed method focused on the estimation of the intracellular coupling and the parameter describing the sodium current (conductance and threshold). It is applied to the Aliev-Panfilov model, but could be generalized to other models. Furthermore, in this paper, the relation between the number of electrodes and the accuracy of estimated parameters is investigated. Our results suggest that there exists a compromise between the number of electrodes and the values of model parameters which emulate closely the cardiac cells electrical activities. The effect to noise, usually present in experimental data, is measured. Finally, as a conclusion, the feasibility of a reconstruction of mathematical models from experimental systems such as microelectrode arrays (MEA) is discussed.

(Abstract Control Number: 107)