Biomedical Engineering Reference
In-Depth Information
To overcome such computational limitations, simplified models have been
developed and used to investigate the kinetics and pathways of oligomerization and
fibril formation at different levels of resolution [
36
]. In this chapter, we first review
briefly the simplified models of aggregation. We then present our coarse-grained
phenomenological (CGF) model of an amphipathic peptide [
37
], and its use for
studying kinetics and thermodynamics, both in bulk conditions and in presence of
other simplified (macro)molecules.
2
Coarse-Grained Models
In coarse-grained models, the complexity of a system (and therefore the compu-
tational cost) is reduced by grouping atoms into larger units or “beads,” whose
mutual interactions are usually approximated by a potential of mean force [
38
].
Several coarse-grained models of different resolutions have been developed to
study aggregation (see Fig.
1
). Zhang and Muthukumar [
39
] have created a cuboid
model able of reproducing the features of a nucleation-limited aggregation process.
With their so-called “tube” model, Auer and coworkers [
40
] have shed light upon
the conversion of a disordered aggregate into an aggregating nucleus. Higher-
resolution models like the one developed by Thirumalai and collaborators [
41
]
Fig. 1
Main coarse-grained models discussed in Sect. 2. (
a
) Cuboid model [
39
]; (
b
) tube model
[
40
]; (
c
) lattice model [
41
]; (
d
) CGF model [
37
]; (
e
) Shea model [
43
]; (
f
) Hall model [
42
].
Reprinted from [
36
] with permission by Elsevier
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