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On the identification of multiple space dependent ionic parameters in cardiac electrophysiology modelling
- Source :
- [Research Report] INRIA. 2017
- Publication Year :
- 2017
- Publisher :
- HAL CCSD, 2017.
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Abstract
- In this paper, we consider the inverse problem of space dependent multiple ionic parameters identification in cardiac electrophysiology modelling from a set of observations. We use the monodomain system known as a state-of-the-art model in cardiac electrophysiology and we consider a general Hodgkin-Huxley formalism to describe the ionic exchanges at the microscopic level. This formalism covers many physiological transmembrane potential models including those in cardiac electrophysiology. Our main result is the proof of the uniqueness and a Lipschitz stability estimate of ion channels conductance parameters based on some observations on an arbitrary subdomain. The key idea is a Carleman estimate for a parabolic operator with multiple coefficients and an ordinary differential equation system.
- Subjects :
- Lipschitz stability estimate
cardiac electrophysiology modelling
Quantitative Biology::Neurons and Cognition
Quantitative Biology::Tissues and Organs
Physics::Medical Physics
ionic parameters identification
Carleman estimate
monodomain system
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
Hodgkin-Huxley model
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- [Research Report] INRIA. 2017
- Accession number :
- edsair.dedup.wf.001..e8780605d088bb8978b43fb5f935858e