Modelo de propagación de ondas solitarias en el corazón

Ivonne Domínguez , Rafael A. Barrio , Carmen Varea , José Luis Aragón
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Abstract

In cardiac electrical activity, different types of waves meander through the heart. We present a model of the electrical activity of the heart that proposes that the homogeneous wave fronts propagating through the heart are in fact solitons. We use a general set of reaction-diffusion equations known as the Barrio-Varea-Aragón-Maini (BVAM) model[1] that presents a wealth of non-linear bifurcations, and we are able to follow the route to chaos, using a mapping of the amplitude equations to the dynamics of the complex Ginzburg-Landau equation. We study the dynamics of wave fronts numerically in the BVAM model to describe the mechanisms leading to heart fibrillation and compare the findings with experimental data.

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单波在心脏传播的模型
在心脏电活动中,不同类型的波蜿蜒穿过心脏。我们提出了一个心脏电活动的模型,提出通过心脏传播的均匀波前实际上是孤子。我们使用一组被称为Barrio-Varea-Aragón-Maini (BVAM)模型的一般反应扩散方程[1],它呈现了丰富的非线性分岔,并且我们能够通过将振幅方程映射到复杂的金兹堡-朗道方程的动力学来跟踪混沌的路径。我们在BVAM模型中研究了波前的动力学,以描述导致心脏颤动的机制,并将结果与实验数据进行了比较。
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