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Model Mathematics

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Component: environment

Component: Insulin

\frac{d}{d time} (x1) = (((k1_x3 - (k1 x1 x2)) + k2_x4 - (k2 x1 x3)) + k4_(x6 + x7) - (k4 x1 (x5 + x9))) + k5_(x7 + x8 + x9) - (k5 x1 (x5 + x6 + x7))

scatchard = \frac{x3 + x4 + x7 + x8 + x9}{x1}

Component: Unbound_receptor

\frac{d}{d time} (x2) = (k1_x3 - (k1 x1 x2)) + k3_(x5 + x9) - (k3 x2 (x3 + x4))

Component: Single_bound_receptor

\frac{d}{d time} (x3) = (((k1 x1 x2 - (k1_x3)) + k2_x4 - (k2 x1 x3)) + k3_x5 - (k3 x2)) + x3

Component: Double_bound_receptor

\frac{d}{d time} (x4) = (k2 x1 x3 - (k2_x4)) + k3_x9 - (k2 x2 x4)

Component: Unbound_receptor_single_bound_receptor_aggregate

\frac{d}{d time} (x5) = ((k3 x2 x3 - (k3_x5)) + k4_x6 - (k4 x1 x5)) + k5_x9 - (k5 x1 x5)

Component: Unbound_receptor_double_bound_receptor_aggregate

\frac{d}{d time} (x6) = (k4 x1 x5 - (k4_x6)) + k5_x7 - (k5 x1 x6)

Component: Single_bound_receptor_single_bound_receptor_aggregate

\frac{d}{d time} (x7) = (k4 x1 x9 - (k4_x7)) + k5_(x8 - x7) + k5 x1 (x6 - x7)

Component: Single_bound_receptor_double_bound_receptor_aggregate

\frac{d}{d time} (x8) = k5 x1 x7 - (k5_x8)

Component: Double_bound_receptor_double_bound_receptor_aggregate

\frac{d}{d time} (x9) = ((k3 x2 x4 - (k3_x9)) + k4_x7 - (k4 x1 x9)) + k5 x1 x5 - (k5_x9)

Component: rate_variables

Source: Derived from workspace Wanant, Quon, 2000 at changeset 752983f09025.; This exposure was expired. A more up-to-date exposure is available, or view related resources.

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