Key result
Mathematical modeling demonstrated that the topology of a cell network's cytoarchitecture, using an aperiodic, self-similar distribution, can simulate fibrillation and fluttering.
Mathematical modeling demonstrates that the topology of cellular networks can determine the initiation and development of arrhythmias like fibrillation and flutter.
No immediate clinical implications for arrhythmia management; leaves open validation of network topology in human studies.
In this document are modeled arrhythmias with cellular automaton and ordinary differential equations systems. With an aperiodic, self-similar distribution of two-dimensional arrangement of cells, it is possible to simulate such phenomena as fibrillation, fluttering and a sequence of fibrillation-fluttering. The topology of the cytoarchitecture of a network of cells may determine the initiation and development of arrhythmias.
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Gabriel López Garza (2019) studied Arrhythmias. Mathematical modeling (cellular automaton and ordinary differential equations) was evaluated on Simulation of arrhythmia phenomena (fibrillation, fluttering). Mathematical modeling demonstrated that the topology of a cell network's cytoarchitecture, using an aperiodic, self-similar distribution, can simulate fibrillation and fluttering.
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