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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
171
For example, given NBIT = 8, B(0) = 10
3
, τ
B
= 10 and t =
200, an average 10
3
/2
8
(1 + 200
.
In(2)/10) ~ 58 cells with
affi nity NBIT are created within 200 time steps. Let’s make
another example, NBIT = 12, B(0) = 10
3
, τ
B
= 10, t = 500; then,
on an average, 10
3
/2
12
(1 + 500
.
(In(2))/10) ~ 87 cells with a
perfect match are created in 500 time steps. That’s a small
number! Consider however that the probability that not
even a single perfect match string is created in t time steps is
(1 – p)
B(0)
(
1 + t
In(2)
τ
B
)
which in this example means that the probability to fall short
of a 12-bit perfect match in 200 time steps is 1.7
.
10
–4
. Note
that when ...
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Publisher Resources

ISBN: 9781466597488