Morris–Lecar model is arguably the simplest dynamical model that retains both the slow–fast geometry of excitable phase portraits and the physiological interpretation of a conductance-based model. We augment this model with one slow inward current to capture the additional property of bistability between a resting state and a spiking limit cycle for a range of input current. The resulting dynamical system is a core structure for many dynamical phenomena such as slow spiking and bursting. We show how the proposed model combines physiological interpretation and mathematical tractability and we discuss the benefits of the proposed approach with respect to alternative models in the literature.

中文翻译：

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剩余尖峰双稳态的几何形状。

莫里斯-莱卡尔模型可以说是最简单的动力学模型，它既保留了可兴奋相像的慢速几何形状，又保留了基于电导的模型的生理学解释。我们用一个缓慢的内向电流扩充该模型，以捕获在一定输入电流范围内的静止状态和峰值极限周期之间的双稳态的附加属性。最终的动力学系统是许多动力学现象（如缓慢的尖峰和爆发）的核心结构。我们展示了提出的模型如何结合生理学解释和数学易处理性，并且我们讨论了相对于文献中的替代模型提出的方法的好处。