You are here: Home / Exposures / Wodarz, Hamer, 2007 / Infection dynamics in HIV-specific CD4 T cells: Does a CD4 T cell boost benefit the host or the virus (Model 4)

Model Mathematics

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Component: environment

Component: T

\frac{d}{d time} (T) = lambda - (delta T + gamma T v)

Component: I

\frac{d}{d time} (I) = gamma T v - (alpha I + p I (z + w))

Component: x

\frac{d}{d time} (x) = r x v (1.0 - (\frac{x + y}{k})) - (d x + beta x v)

Component: y

\frac{d}{d time} (y) = beta x v + r y v (1.0 - (\frac{x + y}{k})) - (a y + p y (z + w))

Component: v

\frac{d}{d time} (v) = eta (y + I) - (u v)

Component: w

\frac{d}{d time} (w) = 2.0 rho m_9 - (xi w + phi w)

Component: m_9

\frac{d}{d time} (m_9) = 2.0 rho m_8 - (rho m_9)

Component: m_8

\frac{d}{d time} (m_8) = 2.0 rho m_7 - (rho m_8)

Component: m_7

\frac{d}{d time} (m_7) = 2.0 rho m_6 - (rho m_7)

Component: m_6

\frac{d}{d time} (m_6) = 2.0 rho m_5 - (rho m_6)

Component: m_5

\frac{d}{d time} (m_5) = 2.0 rho m_4 - (rho m_5)

Component: m_4

\frac{d}{d time} (m_4) = 2.0 rho m_3 - (rho m_4)

Component: m_3

\frac{d}{d time} (m_3) = 2.0 rho m_2 - (rho m_3)

Component: m_2

\frac{d}{d time} (m_2) = 2.0 rho m_1 - (rho m_2)

Component: m_1

\frac{d}{d time} (m_1) = 2.0 rho m_0 - (rho m_1)

Component: m_0

\frac{d}{d time} (m_0) = - (rho m_0)

Component: z

\frac{d}{d time} (z) = xi w + c x (y + I) \frac{z}{epsilon x + 1.0} - (b z)

Component: model_parameters

Source: Derived from workspace Wodarz, Hamer, 2007 at changeset 08f678e9ea1c.

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