Comput. Biol. Med. - Computing the stability of steady-state solutions of mathematical models of the electrical activity in the heart.

Tópicos

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Resumo

Instabilities in the electro-chemical resting state of the heart can generate ectopic waves that in turn can initiate arrhythmias. We derive methods for computing the resting state for mathematical models of the electro-chemical process underpinning a heartbeat, and we estimate the stability of the resting state by invoking the largest real part of the eigenvalues of a linearized model. The implementation of the methods is described and a number of numerical experiments illustrate the feasibility of the methods. In particular, we test the methods for problems where we can compare the solutions with analytical results, and problems where we have solutions computed by independent software. The software is also tested for a fairly realistic 3D model.

Resumo Limpo

instabl electrochem rest state heart can generat ectop wave turn can initi arrhythmia deriv method comput rest state mathemat model electrochem process underpin heartbeat estim stabil rest state invok largest real part eigenvalu linear model implement method describ number numer experi illustr feasibl method particular test method problem can compar solut analyt result problem solut comput independ softwar softwar also test fair realist d model

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