论文标题
关于Purkinje和心室心脏细胞模型中的复杂动力学
On complex dynamics in a Purkinje and a ventricular cardiac cell model
论文作者
论文摘要
心肌细胞可以表现出复杂的模式，包括不规则的行为，例如混乱或（混乱）早期pe骨（EADS），这可能导致心脏猝死。合适的数学模型及其分析有助于预测这种现象的发生并解码其机制。本文的重点是对普通微分方程系统描述的心肌细胞动力学的研究。这通常是通过研究Purkinje细胞模型和修饰的心室细胞模型来执行的。我们发现有关Purkinje细胞模型中泄漏电流的混沌动力学，以及在脑室细胞模型中降低的快速钾电流和增强的钙电流方面的EAD和混乱，这些特征已在实验中观察到并且在某些模型中已知，但在当前考虑的情况下是新的。我们还研究了两个系统的相关单域模型，以研究同步和与发现特征相关的宏观尺度上的细胞行为。这些模型在质量上与实验观察到的行为相同。但是，对于某些参数设置，动力学发生在非生理范围内。
Cardiac muscle cells can exhibit complex patterns including irregular behaviour such as chaos or (chaotic) early afterdepolarisations (EADs), which can lead to sudden cardiac death. Suitable mathematical models and their analysis help to predict the occurrence of such phenomena and to decode their mechanisms. The focus of this paper is the investigation of dynamics of cardiac muscle cells described by systems of ordinary differential equations. This is generically performed by studying a Purkinje cell model and a modified ventricular cell model. We find chaotic dynamics with respect to the leak current in the Purkinje cell model, and EADs and chaos with respect to a reduced fast potassium current and an enhanced calcium current in the ventricular cell model -- features that have been experimentally observed and are known to exist in some models, but are new to the models under present consideration. We also investigate the related monodomain models of both systems to study synchronisation and the behaviour of the cells on macro-scale in connection with the discovered features. The models show qualitatively the same behaviour to what has been experimentally observed. However, for certain parameter settings the dynamics occur within a non-physiological range.
