We use the qualitative insight of a planar neuronal phase portrait to detect an excitability switch in arbitrary conductance-based models from a simple mathematical condition. The condition expresses a balance between ion channels that provide a negative feedback at resting potential (restorative channels) and those that provide a positive feedback at resting potential (regenerative channels). Geometrically, the condition imposes a transcritical bifurcation that rules the switch of excitability through the variation of a single physiological parameter. Our analysis of six different published conductance based models always finds the transcritical bifurcation and the associated switch in excitability, which suggests that the mathematical predictions have a physiological relevance and that a same regulatory mechanism is potentially involved in the excitability and signaling of many neurons.
Generalisation of neuronal excitability allows for the identification of an excitability change parameter that links to an experimentally measurable value
Neuronal electricality founded in murburn-thermodynamic principles: 2. Comparisons, evidenced explanations, and predictions
Amrita School of Artificial Intelligence, Coimbatore, Amrita Vishwa Vidyapeetham（阿姆利塔人工智能学院，阿姆利塔维迪亚佩塔姆大学）；Satyamjayatu: The Science & Ethics Foundation（真理至上：科学与伦理基金会）；University of Rostock（罗斯托克大学）；Wayne State University（韦恩州立大学）
