Table 4.

Temporal profile of molecular entities in the LAPD-model of MHC1-mediated export of high-affinity peptides.

Equation/Expression/Equivalence	No.	Molecular entity {y,y1}
$1\le \frac{y_{[H{p}_m\left(t_0\right)]}}{y_{[L{p}_n\left(t_0\right)]}}\ll \frac{{\dot{y}}_{[H{p}_m\left(t\right)]}}{{\dot{y}}_{[L{p}_n\left(t\right)]}}$	(52)	Equations (30), (31)
${\dot{y}}_{\left[PP{I}_{TAP1/2-ATP-H{p}_m}\right]\to 0}$	(53)	Equation (32)
${\dot{y}}_{\left[PP{I}_{TAP1/2-ATP-L{p}_n}\right]\to 0}$	(54)	Equation (33)
${\dot{y}}_{\left[PL{C}_{z}L{p}_n\left(t\right)\right]}=0$	(55)	Equation (34)
${\dot{y}}_{\left[PL{C}_{z}H{p}_m\left(t\right)\right]}\approx 0.1234$	(56)	Equation (35)
$0.35\le \frac{{\dot{y}}_{\left[rM1\beta \left(t\right)\right]}}{{\dot{y}}_{\left[PP{I}_{Tapasin-M1\beta L{p}_n}\left(t\right)\right]}}\le 0.5$	(57)	Equations (36), (37)
${\dot{y}}_{[rM1\beta (t)]}\simeq \frac{0.582}{t}\to 0(t\gg 0)$	(58)	Equation (36)
${\dot{y}}_{[eM1\beta (t)]}\sim 3⁎0.0003⁎t^2-2⁎0.0034⁎t-0.145$	(59)	Equation (38)
${\dot{y}}_{[PP{I}_{Tapasin-M1\beta L{p}_n}(t)]}\simeq \frac{0.5842}{t}\to 0(t\gg 0)$	(60)	Equation (37)
${\dot{y}}_{[L{p}_n(t)]}\to 0(t\gg 0)$	(61)	Equation (31)
${\dot{y}}_{[Tapasin(t)]}\simeq \frac{-1.273}{t}\to 0(t\gg 0)$	(62)	Equation (42)
${\dot{y1}}_{\left[ERp57\left(t\right)\right],[Tapasin\left(t\right)]}\to 1.00$	(63)	Equations (42), (43) and (44)
${\dot{y}}_{[PP{I}_{Tapasin-M1\beta L{p}_n\left(t\right)}]}\propto \frac{1}{{\dot{y}}_{\left[Tapasin\left(t\right)\right]}}$	(64)	Equations (37), (42)
${\dot{y}}_{[PL{C}_{z}H{p}_m(t)]}\propto \frac{1}{{\dot{y}}_{\left[Tapasin\left(t\right)\right]}}$	(65)	Equations (35), (42)