Table A3. Calculation of apparent rate... | Rockefeller University Press

Table A3.

Calculation of apparent rate constants for two-state model of Ca²⁺ pumps

$α_{1}^{+} = \frac{k_{2}^{+} \cdot N_{A T P} \cdot N_{{C a}_{i}}^{2}}{N_{A T P} \cdot {(N_{{C a}_{i}})}^{2} {+ N}_{H_{i}} \cdot ({1 + N}_{A T P} \cdot ({1 + N}_{H_{1}} + N_{{C a}_{i}}^{2}))}$	$N_{A T P} {= [A T P] / K}_{d, A T P}$
	$N_{{Ca}_{i}} = {Ca}_{i} / K_{d, {Ca}_{i}}$
	$N_{H_{i}} {= [H}^{+}]_{i} / K_{d, H_{i}}$
	$N_{H_{1}} {= [H}^{+}]_{1} K_{d, H_{1}}$
$α_{2}^{+} = \frac{k_{3}^{+} \cdot N_{H_{S R}}}{N_{H_{S R}} \cdot ({1 + N}_{H}) {+ N}_{H} \cdot (1 + N_{{C a}_{S R}}^{2})}$	$N_{H_{S R}} {= [H}^{+}]_{S R} {/ K}_{{d, H}_{S R}}$
	$N_{{Ca}_{SR}} = {Ca}_{SR} / K_{d, {Ca}_{SR}}$
	$N_{H} {= [H}^{+} {] / K}_{d, H}$
$α_{1}^{-} = \frac{k_{2}^{-} \cdot [A D P] \cdot N_{{C a}_{S R}}^{2} \cdot N_{H}}{N_{H_{S R}} \cdot ({1 + N}_{H}) {+ N}_{H} \cdot (1 + N_{{C a}_{S R}}^{2})}$	$K_{d, A T P} = \frac{k_{1}^{-}}{k_{1}^{+}} = \frac{k_{2}^{+} \cdot k_{3}^{+} \cdot K_{{d, C a}_{S R}}^{2} \cdot K_{{d, H}_{i}} \cdot K_{d, H}}{k_{2}^{-} \cdot k_{3}^{-} \cdot K_{{d, C a}_{i}}^{2} \cdot K_{{d, H}_{S R}} \cdot e^{{Δ G}_{A T P} / R \cdot T}}$
$α_{2}^{-} = \frac{k_{3}^{-} \cdot [P i] \cdot N_{H_{i}}}{N_{A T P} \cdot N_{{C a}_{i}}^{2} {+ N}_{H_{i}} \cdot ({1 + N}_{A T P} ({1 + N}_{H_{1}} + N_{{C a}_{i}}^{2}))}$