Title | ||
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Maximal Conductances Ionic Parameters Estimation in Cardiac Electrophysiology Multiscale Modelling. |
Abstract | ||
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In this work, we present an optimal control formulation for the bidomain model in order to estimate maximal conductances parameters in the physiological ionic model. We consider a general HodgkinHuxley formalism to describe the ionic exchanges at the microcopic level. We consider the parameters as control variables to minimize the mismatch between the measured and the computed potentials under the constraint of the bidomain system. The solution of the optimization problem is based on a gradient descent method, where the gradient is obtained by solving an adjoint problem. We show through some numerical examples the capability of this approach to estimate the values of sodium, calcium and potassium ion channels conductances in the Luo Rudy phase I model. |
Year | DOI | Venue |
---|---|---|
2019 | 10.1007/978-3-030-21949-9_9 | Lecture Notes in Computer Science |
Keywords | Field | DocType |
Parameters estimation,Maximal conductance ionic parameters,Bidomain model,Optimal control with pde constraints,First order optimality conditions,Physiological ionic model,Cardiac electrophysiology | Ionic bonding,Applied mathematics,Bidomain model,Gradient descent,Optimal control,Cardiac electrophysiology,Control variable,Potassium channel,Optimization problem,Physics | Conference |
Volume | ISSN | Citations |
11504 | 0302-9743 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Yassine Abidi | 1 | 0 | 0.34 |
Julien Bouyssier | 2 | 0 | 1.01 |
Moncef Mahjoub | 3 | 3 | 1.00 |
Nejib Zemzemi | 4 | 42 | 12.17 |