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Immune System Modelling and Simulation
book

Immune System Modelling and Simulation

by Filippo Castiglione, Franco Celada
April 2015
Intermediate to advanced content levelIntermediate to advanced
286 pages
7h 23m
English
CRC Press
Content preview from Immune System Modelling and Simulation
105
with the various cell types is positive; for zero or negative sums,
the concentration is taken as zero, as seen in the formulas
S
1
(t + 1) = sgn
(
Σ
S
1
(t) + S
4
(t) + S
3
(t)
)
S
2
(t + 1) = sgn
(
Σ
S
1
(t) + S
4
(t) – S
3
(t) – S
5
(t)
)
S
3
(t + 1) = sgn
(
Σ
S
1
(t)
)
S
4
(t + 1) = sgn
(
Σ
S
1
(t)
)
S
5
(t + 1) = sgn
(
Σ
S
4
(t)
)
where S
i
(t) denotes the concentration of the ith component at
time t and the function sgn(x) defi ned on the natural numbers
N
is 1 if x > 0 and 0 otherwise. This model shows the existence
of only two basins of attractions over 2
5
= 32 possible states:
the empty state where all the concentrations are zero, and a
state where only activated killers disappear while the other four
concentrations reach unity.
Further generalisations of this model consider the same
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Publisher Resources

ISBN: 9781466597488