Fractional modeling applied to the dynamics of the action potential in cardiac tissue

SA David, CA Valentim, A Debbouche - Fractal and Fractional, 2022 - mdpi.com
We investigate a class of fractional time-partial differential equations describing the
dynamics of the fast action potential process in contractile myocytes. The system is explored …

Observer‐based controller for treatment of hepatitis C infection using fractional order model

S Zeinali, M Shahrokhi, A Pishro - Mathematical Methods in the …, 2022 - Wiley Online Library
In this study, a stable observer‐based feedback controller has been designed for treatment
of hepatitis C infectious disease under interferon (IFN) therapy. In order to consider the …

The complex order fractional derivatives and systems are non hermitian

MD Ortigueira - International workshop on Advanced Theory and …, 2021 - Springer
This paper discusses the concept of fractional derivative with complex order from the
application point of view. It is shown that a fractional derivative is hermitian, if and only if the …

A computational view of electrophysiological properties under different atrial fibrosis conditions

JP Ugarte, C Tobón, JAT Machado - Applied Mathematical Modelling, 2022 - Elsevier
The excessive proliferation of fibroblasts causes fibrosis, a hallmark of atrial fibrillation (AF),
and leads to alterations in the electrical conduction within the heart. However, the underlying …

Nonlinear interdependence of electrograms as a tool to characterize propagation patterns in atrial fibrillation

A Orozco-Duque, JP Ugarte, C Tobón - Biomedical Signal Processing and …, 2022 - Elsevier
Ablation of stable sources is a promising treatment to reverse the atrial fibrillation (AF)
although its underlying mechanisms are still debated. Many attempts have been made to …

[PDF][PDF] The Curie effect incorporation in the monodomain equation describing the action potential dynamics in cardiac tissue

AM Balint, S Balint, A Neculae - INCAS Bulletin, 2023 - bulletin.incas.ro
In their in-depth study on cardiac tissue modeling, Clayton and Panfilov [1] present several
monodomain or bidomain approaches for the mathematical description of the cardiac tissue …