Sensitivity analysis of voltage-gated ion channel models

Modeling voltage-gated ion channel function is essential for understanding neuronal excitability. However, finding the right balance between model complexity and practicality is a significant challenge. In this study, I explored how sensitive Markov models of ion channels were to different parameters, beginning with a straightforward two-state system and progressing to more intricate three- and four-state models. Through tests using step voltage and sine wave protocols, I discovered clear sensitivity patterns during both the activation and deactivation phases. As expected, forward transitions were most influential during activation, while reverse transitions became more pronounced during deactivation. Notably, I found that transitions between closed states had minimal impact on the overall whole-cell current or the opening probability (P _o ). This underscores a significant limitation in relying on these measurements to constrain specific parameters. These results highlight the strengths and limitations of Markov models, showing that their effectiveness can be restricted by how sensitive parameters are to the protocols used in experiments. My findings set clear guidelines on the level of complexity feasible in Markov models of voltage-gated ion channels and offer insights that can help create more efficient and reliable models of neuronal excitability.