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Wodarz, 2003
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Evolution of Immunological Memory and the Regulation of Competition between Pathogens
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Model Mathematics
Component based math viewer is available
Component: environment
Component: S
P
=
P_1
+
P_2
H
=
S
+
I_1
+
R_1
+
I_2
+
R_2
+
I_12
+
I_21
+
R_12
d
d
time
S
=
r
H
epsilon
H
+
1
-
d
S
-
beta_1
S
P_1
-
beta_2
S
P_2
+
g
R_1
+
R_2
+
R_12
Component: I1
d
d
time
I_1
=
beta_1
S
P_1
-
a_1
I_1
-
alpha_1
I_1
Component: I2
d
d
time
I_2
=
beta_2
S
P_2
-
a_2
I_2
-
alpha_2
I_2
Component: I12
d
d
time
I_12
=
beta_2
R_1
P_2
-
a_2
I_12
-
alpha_2
I_12
Component: I21
d
d
time
I_21
=
beta_1
R_2
P_1
-
a_1
I_21
-
alpha_1
I_21
Component: R1
d
d
time
R_1
=
alpha_1
I_1
-
d
R_1
-
g
R_1
-
beta_2
R_1
P_2
Component: R2
d
d
time
R_2
=
alpha_2
I_2
-
d
R_2
-
g
R_2
-
beta_1
R_2
P_1
Component: R12
d
d
time
R_12
=
alpha_2
I_12
+
alpha_1
I_21
-
d
R_12
-
g
R_12
Component: P1
d
d
time
P_1
=
k_1
I_1
+
I_21
-
u
P_1
log_P1
=
log
10
P_1
Component: P2
d
d
time
P_2
=
k_2
I_2
+
I_12
-
u
P_2
log_P2
=
log
10
P_2
Component: memory_duration
G
=
1
g
Component: kinetic_parameters
Source
Derived from workspace
Wodarz, 2003
at changeset
424e530cfe78
.
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Creative Commons Attribution 3.0 Unported License
.
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Evolution of Immunological Memory and the Regulation of Competition between Pathogens