Theoretical Models of Immune Processes - Immunological Computation: Theory and Applications - page 36

Ag complexes. h e involvement of T cells in the GC dynamics is not included in this
model. h e set of ordinary diff erential equations used in this model are as follows:

3
∑

St () S e

dot

[ C S ]

(2.1)

i

0

i 2

( )

dB
dt

B
M

pB 1 kt B () (2.2)

B

d

dB
dt

f ()

i

kt B 2 p i i B [(, )

i , 0 i i

d cb

( i 1 , ) i B ( i 1 , i ) B

1 ]

i 11 i i 1 i

pm R f B d B p B (2.3)

r R i mi B i i

cb

dC
dt

f

(2.4)

i

fB kCS ( 1 ) kC [ S ]

mi i i r i

dC [ S ]

f

(2.5)

i

kCS kC [ S ]

i i r i

dt

dR
dt

(2.6)

i

kC [ S ] ( m d R )

r i R Ri

dM
dt

(2.7)

i

( 1 pmR dM ) −

r R i Mi

3

dL
dt

∑

b

2 p B (, 2 3 ) B f L L

(2.8)

jj

cb L 22 mB B

j 2

dL
dt

(2.9)

c

fL L

MB C

where S is the number of free FDC sites, S 0 the total initial number of FDC sites,
φ ( t )

40, i the a nity class, B i the centroblasts, C i the

= t n /k n + t n , k = 6, n =

−

centrocytes, [ C i S ] the complex of centrocytes with FDC, R i the rescued centro-

cytes, M i the memory, m R the migration rate of the respective cells, p cb the constant
centroblast proliferation rate, d B the death rate, L B the centroblasts that are not in