Alternans promotion in cardiac electrophysiology models by delay differential equations.

Alternans promotion in cardiac electrophysiology models by delay differential equations.
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通过延迟微分方程促进心脏电生理学模型中的交替。

DOI:
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发表时间:
2017
期刊:
影响因子:
2.9
通讯作者:
E. Cherry
E. Cherry
中科院分区:
数学2区
文献类型:
--
作者:
J. M. Gomes;R. W. dos Santos;E. Cherry

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心脏电交替是长动作电位和短动作电位之间的交替状态,通常与有害的心脏疾病相关。不同的动力机制可以产生交替;然而,许多基于常微分方程的心脏模型无法重现这种现象。先前的一项研究表明,可以通过在犬肌细胞模型的离子通道门控变量的公式中引入延迟微分方程(DDE)来诱导交替。目前的工作表明,该技术不是特定于模型的,通过使用 DDE 成功地促进交替法用于描述不同类型的心肌细胞的五种心脏电生理学模型,具有不同的复杂程度。通过分析不同模型的结果,我们观察到通过离子门的 DDE 促进交替的两个潜在要求:(i) 门必须对动作电位持续时间产生重大影响,(ii) 延迟必须显着损害门在连续动作电位之间的恢复。
Cardiac electrical alternans is a state of alternation between long and short action potentials and is frequently associated with harmful cardiac conditions. Different dynamic mechanisms can give rise to alternans; however, many cardiac models based on ordinary differential equations are not able to reproduce this phenomenon. A previous study showed that alternans can be induced by the introduction of delay differential equations (DDEs) in the formulations of the ion channel gating variables of a canine myocyte model. The present work demonstrates that this technique is not model-specific by successfully promoting alternans using DDEs for five cardiac electrophysiology models that describe different types of myocytes, with varying degrees of complexity. By analyzing results across the different models, we observe two potential requirements for alternans promotion via DDEs for ionic gates: (i) the gate must have a significant influence on the action potential duration and (ii) a delay must significantly impair the gate's recovery between consecutive action potentials.
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