Table 3. Relation between Δ G − C and Q... | Rockefeller University Press

Table 3.

Relation between $Δ {\bar{G}}_{C}$ and Q_maxFV_m for ion channel gating models

Model	Reference state (r)	Final state (f)	Relation
Noninactivating; all steps voltage dependent or intermediate step voltage independent	C₁	O_f	$Δ {\bar{G}}_{C} = - R T \ln K_{C_{1} \to O_{f}}^{0} = Q_{\max} F V_{m}$
Noninactivating; last step voltage independent	C₁	O_f	$Δ {\bar{G}}_{C} = - R T \ln K_{C_{1} \to O_{f}}^{0} = Q_{\max} F V_{m} - R T \ln P_{O}^{\max}$
Noninactivating; MWC scheme; all steps voltage dependent	C₁	O_f	$Δ {\bar{G}}_{C} = - R T \ln K_{C_{1} \to O_{f}}^{0} = Q_{\max} F V_{m}$
Noninactivating; MWC scheme; allosteric transition voltage independent	C₁	O_f	$Δ {\bar{G}}_{C} = - R T \ln K_{C_{1} \to O_{f}}^{0} = Q_{\max} V_{m} - k_{B} T \ln P_{O}^{\max} + k_{B} T \ln (1 - P_{O}^{\min})$
Inactivating; all steps voltage dependent or intermediate step voltage independent	C₁	I_f	$Δ {\bar{G}}_{C} = - R T \ln K_{C_{1} \to I_{f}}^{0} = Q_{\max} F V_{m}$
Inactivating; voltage-independent inactivation	C₁	I_f	$Δ {\bar{G}}_{C} = - R T \ln K_{C_{1} \to I_{f}}^{0} = Q_{\max} F V_{m} - R T \ln I_{\max}$

Model	Reference state (r)	Final state (f)	Relation
Noninactivating; all steps voltage dependent or intermediate step voltage independent	C₁	O_f	$Δ {\bar{G}}_{C} = - R T \ln K_{C_{1} \to O_{f}}^{0} = Q_{\max} F V_{m}$
Noninactivating; last step voltage independent	C₁	O_f	$Δ {\bar{G}}_{C} = - R T \ln K_{C_{1} \to O_{f}}^{0} = Q_{\max} F V_{m} - R T \ln P_{O}^{\max}$
Noninactivating; MWC scheme; all steps voltage dependent	C₁	O_f	$Δ {\bar{G}}_{C} = - R T \ln K_{C_{1} \to O_{f}}^{0} = Q_{\max} F V_{m}$
Noninactivating; MWC scheme; allosteric transition voltage independent	C₁	O_f	$Δ {\bar{G}}_{C} = - R T \ln K_{C_{1} \to O_{f}}^{0} = Q_{\max} V_{m} - k_{B} T \ln P_{O}^{\max} + k_{B} T \ln (1 - P_{O}^{\min})$
Inactivating; all steps voltage dependent or intermediate step voltage independent	C₁	I_f	$Δ {\bar{G}}_{C} = - R T \ln K_{C_{1} \to I_{f}}^{0} = Q_{\max} F V_{m}$
Inactivating; voltage-independent inactivation	C₁	I_f	$Δ {\bar{G}}_{C} = - R T \ln K_{C_{1} \to I_{f}}^{0} = Q_{\max} F V_{m} - R T \ln I_{\max}$

The table lists the relationship between the median measure of free energy (derived from a QV plot) and the chemical free energy difference between the unique initial and final states of the system $Δ {\bar{G}}_{C}$ for six broad classes of gating modes of the ion channel.

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