I. Theoretic Considerations

Wiener, Alexander S.

doi:10.1001/archpedi.1946.02020240021002

Cited by 17 publications

(2 citation statements)

References 20 publications

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“…Here the idea of using automata has a long history; Wiener and Rosenbleuth [330] ® rst used cellular automata (CA) as a model of the excitable electrical waves propagating in heart tissue. Much more recently, Gerhardt, Schuster and Tyson [331,332] have studied in great detail the connection between a CA approach and the continuum dynamics which we have already discussed.…”

Section: Discrete Modelsmentioning

confidence: 99%

Cooperative self-organization of microorganisms

Ben‐Jacob

Cohen

Levine

2000

Advances in Physics

571

521

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Section: Discrete Modelsmentioning

confidence: 99%

Cooperative self-organization of microorganisms

Ben‐Jacob

Cohen

Levine

2000

Advances in Physics

571

521

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“…Heart muscle cells are discrete and so it is natural to use cellular automata to model activation wavefronts as was done in some of the earliest mathematical models of AF [12,13]. These studies investigated the effect of het-erogeneity in functional parameters (e.g., refractory period) and macroscopic obstacles on the dynamics of wavefronts.…”

mentioning

confidence: 99%

Simple Model for Identifying Critical Regions in Atrial Fibrillation

2015

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Atrial fibrillation (AF) is the most common abnormal heart rhythm and the single biggest cause of stroke. Ablation, destroying regions of the atria, is applied largely empirically and can be curative but with a disappointing clinical success rate. We design a simple model of activation wave front propagation on an anisotropic structure mimicking the branching network of heart muscle cells. This integration of phenomenological dynamics and pertinent structure shows how AF emerges spontaneously when the transverse cell-to-cell coupling decreases, as occurs with age, beyond a threshold value. We identify critical regions responsible for the initiation and maintenance of AF, the ablation of which terminates AF. The simplicity of the model allows us to calculate analytically the risk of arrhythmia and express the threshold value of transversal cell-to-cell coupling as a function of the model parameters. This threshold value decreases with increasing refractory period by reducing the number of critical regions which can initiate and sustain microreentrant circuits. These biologically testable predictions might inform ablation therapies and arrhythmic risk assessment.

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Kernicterus

MERIWETHER¹

1955

AMA Arch NeurPsych

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I. Theoretic Considerations

Cited by 17 publications

References 20 publications

Cooperative self-organization of microorganisms

Cooperative self-organization of microorganisms

Simple Model for Identifying Critical Regions in Atrial Fibrillation

Kernicterus

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