You are here: Home / Exposures / Kesmir, De Boer, 1999 / A Mathematical Model on Germinal Center Kinetics and Termination

Model Mathematics

Component based math viewer is available

Component: environment

Component: B0

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

Component: B1

\frac{d}{d time} (B1) = rho (1 + alpha_B) B0 - (rho B1 + delta_B B1)

Component: B2

\frac{d}{d time} (B2) = rho (1 + alpha_B) B1 - (rho B2 + delta_B B2)

Component: B3

\frac{d}{d time} (B3) = rho (1 + alpha_B) B2 - (rho B3 + delta_B B3)

Component: B4

\frac{d}{d time} (B4) = rho (1 + alpha_B) B3 - (rho B4 + delta_B B4)

Component: B5

\frac{d}{d time} (B5) = rho (1 + alpha_B) B4 - (rho B5 + delta_B B5)

Component: B6

\frac{d}{d time} (B6) = rho (1 + alpha_B) B5 - (rho B6 + delta_B B6)

Component: B7

\frac{d}{d time} (B7) = rho (1 + alpha_B) B6 - (rho B7 + delta_B B7)

Component: B8

\frac{d}{d time} (B8) = rho (1 + alpha_B) B7 - (rho B8 + delta_B B8)

Component: B9

\frac{d}{d time} (B9) = rho (1 + alpha_B) B8 - (rho B9 + delta_B B9)

Component: B10

\frac{d}{d time} (B10) = rho (1 + alpha_B) B9 - (rho B10 + delta_B B10)

Component: centroblasts_sum

B_sum = B1 + B1 + B3 + B4 + B5 + B6 + B6 + B7 + B8 + B9 + B10

Component: C

\frac{d}{d time} (C) = d rho B10 1 - (mu C)

Component: C_star

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

Component: centrocytes_sum

C_starsum = C + C_star

Component: M

\frac{d}{d time} (M) = (1 - pr) mu CT_star

Component: A

\frac{d}{d time} (A) = (- z) A - (u CA 1) log_A = \log_{10} (\frac{A}{1})

Component: T

\frac{d}{d time} (T) = sigma 1 + p alpha_T CT_star - (delta_T T)

Component: CA

CA = \frac{C A}{SA 1 + A}

Component: CT_star

CT_star = \frac{C_star T}{ST 1 + C_star}

Component: alpha_B

alpha_B = \frac{KB}{KB + \frac{B_sum}{1}}

Component: alpha_T

alpha_T = \frac{KT}{KT + \frac{T}{1}}

Component: total

total = B_sum + C_starsum log_total = \log_{10} (\frac{total}{1} + 1 e -12)

Component: kinetic_parameters

Source: Derived from workspace Kesmir, Deboer, 1999 at changeset 73280bb07c7f.

Collaboration: To begin collaborating on this work, please use your git client and issue this command:

Downloads

Views Available

Tools

License: This work is licensed under a Creative Commons Attribution 3.0 Unported License.

A Mathematical Model on Germinal Center Kinetics and Termination