Biomedical Engineering Reference
In-Depth Information
a
b
0.3
0.3
0.25
0.25
0.2
0.2
0.15
0.15
0.1
0.1
0.05
0.05
0
0
0
1
2
3
4
5
6
7
8
0
0.5
1
1.5
2
Time (sec)
Time (sec)
Fig. 6
(
a
) Experimental adhesion probability curve; (
b
) BioSpi model of cell adhesion probability
versus contact time
(
15,700 m
2
) and cell contact area (
200 m
2
), N
i
indicate the number of bound
molecules for the i-th molecular interaction, and the
w
's are the weights of the linear
model, that quantify the statistical influence of the different molecular interactions
in the cell adhesion mechanism. In our model the weights can take values in the
range between 0 and 1. Because of the lack of experimental quantifications for the
statistical influence of the different molecular interactions, we assume that
w
i
D
1=8
D
0:125 for all the considered interactions of all the eighth molecular species.
The model given in (
3
) is plotted in Fig.
6
. It is in agreement, within the errors
ranges, with the theoretical [
22
,
32
] and experimental results [
19
].
5
Conclusion
The results obtained in this work assert that the formal description provided
by BioSpi model represents in a concise and expressive way the basic physics
governing the process of lymphocyte recruitment.
More generally, physics describes either microscopic or macroscopic interactions
between bodies by means of the concept of
force
, that expresses the action of
the field generated by a particle (or a set of particle) on the other bodies. BioSpi
representation hits this remarks, that is just the central paradigma of the physical
description of the nature and summarizes it in the new concepts of
communications
exchange
or (
names passing
). Moreover, the rates of communication in stochastic
-calculus include all the dynamic of the system, because they contain the
quantitative information about the intensity of the forces transmitted between the
particles. Finally, the main advantage of the BioSpi model is that the -calculus
permits to better investigate dynamics, molecular and biochemical details. It has a
solid theoretical basis and linguistical structure, unlike other approaches [
6
].
