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Steady-state approximations for Hodgkin-Huxley cell models: Reduction of order for uterine smooth muscle cell model

Fig 2

Relaxation time scales ion channel submodels.

Panel (A). Suite of τ values as given for the RTM family of ion channels and the corresponding activation and inactivation variables. Note extraordinary range on logarithmic scale over six orders of magnitude from 10−1 milliseconds for the BK-channel xb variable (teal trace) to as high as 100 seconds for the K+ channel variable r1 (dashed black trace). Each variation over Vm are computed from the functional dependencies as given in the FTM, and selected channels in the RTM version appear here as described in text. The rough threshold for consideration of steady-state approximation partitioning the suite of these variables is at 10 ms (open circles), that is also sensitive to the range of Vm encountered during simulation. Panel (B). Corresponding suite of τ values for the FTM but excluded mechanisms from the final RTM. Note extraordinary range of time scales but shifted up around two orders of magnitude compared with the RTM suite.

Fig 2

doi: https://doi.org/10.1371/journal.pcbi.1011359.g002