Fig. 5

Error measure. a The maximum (E _max ) of the transition probability matrix \(\hat {E}(t)\) as a function of time from the reduction of 2 three state Ca²⁺ channels (Eq. 15) following the partition scheme \(\mathcal {I}_{1}\) when the ER/SR [ Ca²⁺] (c _{e r/s r} ) is 100 μM (dot-dashed line), 600 μM (solid line), and 1100 μM (dashed line). Parameters: \(k_{a}^{+} = 4.5\ \mu {M}^{-\eta }\) ms ⁻¹, \(k_{b}^{+} = 0.2\ \mu {M}^{-\eta }\) ms\(^{-1}, k_{a}^{-} = k_{b}^{-} = 500\ {ms}^{-1}, \ c_{{cyt}} = 0.1\ \mu {M},\ \eta = 2\). Cytosolic side domain [ Ca²⁺] is calculated from Eq. 5. b The integrated reduction error \(\mathcal {E}\) as a function of c _{e r/s r} (100−2000 μM). The reduction errors associated with partition scheme \(\mathcal {I}_{1}\) and \(\mathcal {I}_{2}\) are shown by the dashed and solid line, respectively. The star and dot indicate the maximum values