2018
DOI: 10.1088/1361-6420/aaa72e
|View full text |Cite
|
Sign up to set email alerts
|

On the identification of multiple space dependent ionic parameters in cardiac electrophysiology modelling

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… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

1
18
0
3

Year Published

2019
2019
2024
2024

Publication Types

Select...
3
2

Relationship

2
3

Authors

Journals

citations
Cited by 6 publications
(22 citation statements)
references
References 59 publications
(104 reference statements)
1
18
0
3
Order By: Relevance
“…Theorem 3.1. Let t 0 ∈ (0, T ), Γ 0 be a subdomain of ∂Ω and let¯ (2) ∈ A be arbitrary fixed. We assume that…”
Section: Inverse Problem: Main Resultsmentioning
confidence: 99%
See 3 more Smart Citations
“…Theorem 3.1. Let t 0 ∈ (0, T ), Γ 0 be a subdomain of ∂Ω and let¯ (2) ∈ A be arbitrary fixed. We assume that…”
Section: Inverse Problem: Main Resultsmentioning
confidence: 99%
“…Here v (2) , w (2) and z (2) are the state variables of (2.13) with¯ =¯ (2) and I s i,e = I s, i,e . Furthermore, we assume that v…”
Section: Inverse Problem: Main Resultsmentioning
confidence: 99%
See 2 more Smart Citations
“…In an other work [7], authors propose a strategy to optimize a non differentiable cost function obtained from a fit of activation times map. Recently, theoretical studies of the stability of the maximal conductances identification problem in the monodomain [8] and bidomain [9] models have been carried out. Yan and Veneziani proposed a variational procedure for the estimation of cardiac conductivities from measures of the transmembrane and extracellular potentials available at some sites of the tissue [10].…”
Section: Introductionmentioning
confidence: 99%