You are here: Home / Exposures / Wodarz, Sierro, Klenerman, 2007 / Dynamics of killer T cell inflation in viral infections (Core Model + CTL and NK Response)

Model Mathematics

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Component: environment

Component: x

\frac{d}{d time} (x) = lambda - (d x + beta x v + gamma x v)

Component: y0

\frac{d}{d time} (y0) = (beta x v - (a0 y0 + eta y0 + pa y0 za + p_i y0 zi)) + phi L

Component: y1

\frac{d}{d time} (y1) = eta y0 - (a1 y1 + pa y1 za + p_i y1 zi)

Component: L

\frac{d}{d time} (L) = gamma x v - (phi L + d L)

Component: v

\frac{d}{d time} (v) = k y1 - (u v)

Component: m_8

\frac{d}{d time} (m_8) = 2 r m_7 - (r m_8)

Component: m_7

\frac{d}{d time} (m_7) = 2 r m_6 - (r m_7)

Component: m_6

\frac{d}{d time} (m_6) = 2 r m_5 - (r m_6)

Component: m_5

\frac{d}{d time} (m_5) = 2 r m_4 - (r m_5)

Component: m_4

\frac{d}{d time} (m_4) = 2 r m_3 - (r m_4)

Component: m_3

\frac{d}{d time} (m_3) = 2 r m_2 - (r m_3)

Component: m_2

\frac{d}{d time} (m_2) = 2 r m_1 - (r m_2)

Component: m_1

\frac{d}{d time} (m_1) = 2 r m_0 - (r m_1)

Component: m_0

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

Component: za

\frac{d}{d time} (za) = alpha m_8 + ca (y0 + y1) za - (ba za)

Component: zi

\frac{d}{d time} (zi) = xi + ci (y0 + y1) zi - (bi zi) log_zi = \log_{10} zi

Component: R0

R0 = \frac{lambda eta}{d a1 (a0 + eta)} (beta + \frac{gamma phi}{phi + d})

Component: model_parameters

Source: Derived from workspace Wodarz, Sierro, Klenerman, 2007 at changeset 91cf00619cbc.

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