2021/05/12 by André H. Erhardt, Erhardt, André H., Susanne Solem +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Medicine · #Cardiac electrophysiology and arrhythmias #Cardiomyopathy and Myosin Studies #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Tissues and Organs (q-bio.TO) #math.DS #q-bio.TO
paper · pdf · doi:10.48550/arxiv.2105.05544
arxiv created 2021/05/12 · openalex publication_date 2021/05/12 · arxiv updated 2021/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The 19-dimensional TP06 cardiac muscle cell model is reduced to a 17-dimensional version, which satisfies the required conditions for performing an analysis of its dynamics by means of bifurcation theory. The reformulated model is shown to be a good approximation of the original one. As a consequence, one can extract fairly precise predictions of the behaviour of the original model from the bifurcation analysis of the modified model. Thus, the findings of bifurcations linked to complex dynamics in the modified model - like early afterdepolarisations (EADs), which can be precursors to cardiac death - predicts the occurrence of the same dynamics in the original model. It is shown that bifurcations linked to EADs in the modified model accurately predicts EADs in the original model at the single cell level. Finally, these bifurcations are linked to cardiac death at the tissue level by example.