ELSEVIER Computer Physics Communications 91 (1995) 305-319
Computer Physics
Communications
Computer simulation of protein motion
W.F. van Gunsteren, P.H. Hiinenberger, A.E. Mark, P.E. Smith, I.G. Tironi
Laboratory of Physical Chemistry, ETH Ziirich, CH-8092 Ziirich, Switzerland
Received 23 December 1994
Abstract
The application of molecular dynamics computer simulation methods to study the dynamics of proteins is reviewed with
an eye to its possibilities and limitations. Examples are given, mainly using nanosecond trajectories of the proteins bovine
pancreatic trypsin inhibitor and lysozyme, of the different protein properties, of which the dynamics can be or cannot be
sampled on a nanosecond time scale. It is concluded that the major asset of the simulation technique is that the different
factors contributing to the dynamics of a particular process can be analyzed at atomic detail, as long as one has sampled the
appropriate time scale.
Keywords: Protein dynamics; Molecular dynamics simulation
1. Introduction
Our knowledge of biomolecular systems and pro-
cesses is steadily increasing due to the continuous
advance of experimental techniques that reveal
atomic properties of biomolecules such as proteins.
X-ray diffraction provides a detailed, but static pic-
ture of the spatial atomic structure and an indication
of the extent of atomic motion or disorder. Energetic
information at the atomic level is largely inaccessible
to experimental probes. Information concerning the
dynamics of particular atoms, bond vectors or aro-
matic groups can be obtained by different spectro-
scopic techniques, including 13C and 15N nuclear
magnetic resonance (NMR) relaxation, fluorescence
depolarization or infrared absorption [1]. The mecha-
nism of specific processes, such as protein folding,
may be analyzed indirectly by trapping and charac-
terizing folding intermediates [2]. Yet, the experi-
mental characterization of the dynamics of protein
atoms on the time scales ranging from femtoseconds
to seconds is far from complete, due to the difficulty
of measuring dynamics into atomic detail.
An alternative method to study protein motion is
to simulate protein dynamics on a computer. In the
molecular dynamics (MD) simulation method, New-
ton's equations of motion
dri(t)/ dt= vi(t ) (1)
and
dPi(t)/ dt = m;1Fi(t) (2)
with
Fi(t) = -aV(r 1, r 2 .... , rN) / Ori (3)
for the N atoms with coordinates r - (rl, rE,... ,rN) ,
velocities v--(v 1, v 2..... v N) and masses m i (i =
1, 2 ..... N) of a molecular system are solved nu-
merically by integration in time t. The force F i on
atom i is obtained by taking the negative gradient of
the potential energy function
V(r) = V(rl, r e .... , rs), (4)
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