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Model Mathematics

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Component: environment

Component: X

\frac{d}{d time} (X) = s - (mu0 X + K V X) s = mu0 1.0 e 11

Component: Y

\frac{d}{d time} (Y) = K V Y - ((mu1 + delta1 Z) Y)

Component: CD4

CD4 = \frac{X + Y}{1.0 e 11}

Component: V

\frac{d}{d time} (V) = phi Y - ((mu2 + delta2 Z) V)

Component: Z

\frac{d}{d time} (Z) = alpha \frac{V}{a + V} + beta f_X Z - (gamma Z^{2}) f_X = \frac{{(\frac{X}{X0})}^{2.0}}{b + {(\frac{X}{X0})}^{2.0}}

Component: K

\frac{d}{d time} (K) = omega V (Kmax - K) Kmax = 1.35 e -14 20.0

Source: Derived from workspace Schenzle 1994 at changeset f4acd197187f.

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A model for AIDS pathogenesis