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Model Mathematics

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Component: environment

Component: B0

\frac{d}{d time} (B0) = pr mu CT_- (rho B0 + delta_B B0)

Component: B1

\frac{d}{d time} (B1) = rho (1.0 + alpha_B) B0 - (rho B1 + delta_B B1)

Component: B2

\frac{d}{d time} (B2) = rho (1.0 + alpha_B) B1 - (rho B2 + delta_B B2)

Component: B3

\frac{d}{d time} (B3) = rho (1.0 + alpha_B) B2 - (rho B3 + delta_B B3)

Component: B4

\frac{d}{d time} (B4) = rho (1.0 + alpha_B) B3 - (rho B4 + delta_B B4)

Component: B5

\frac{d}{d time} (B5) = rho (1.0 + alpha_B) B4 - (rho B5 + delta_B B5)

Component: B6

\frac{d}{d time} (B6) = rho (1.0 + alpha_B) B5 - (rho B6 + delta_B B6)

Component: B7

\frac{d}{d time} (B7) = rho (1.0 + alpha_B) B6 - (rho B7 + delta_B B7)

Component: B8

\frac{d}{d time} (B8) = rho (1.0 + alpha_B) B7 - (rho B8 + delta_B B8)

Component: B9

\frac{d}{d time} (B9) = rho (1.0 + alpha_B) B8 - (rho B9 + delta_B B9)

Component: B10

\frac{d}{d time} (B10) = rho (1.0 + alpha_B) B9 - (rho B10 + delta_B B10)

Component: C

\frac{d}{d time} (C) = d rho B10 - (mu C)

Component: C_

\frac{d}{d time} (C_) = mu CA - (mu C_)

Component: M

\frac{d}{d time} (M) = (1.0 - pr) mu CT_

Component: A

\frac{d}{d time} (A) = - (z A) - (u CA)

Component: T

\frac{d}{d time} (T) = omega + p alpha_T CT_- (delta_T T)

Component: CA

CA = \frac{C A}{SA + A}

Component: CT_

CT_= \frac{C_T}{ST + C_}

Component: alpha_B

alpha_B = \frac{KB}{KB + \sum_{i = 0}^{n} Bi}

Component: alpha_T

alpha_T = \frac{KT}{KT + T}

Component: kinetic_parameters

Source: Derived from workspace Kesmir, Deboer, 1999 at changeset 11b77e367d0e.; This exposure was expired. A more up-to-date exposure is available, or view related resources.

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A Mathematical Model on Germinal Center Kinetics and Termination