Mechanical response of collagen molecule under
hydrostatic compression
Karanvir Saini ⁎, Navin Kumar
Indian Institute of Technology Ropar, Punjab, India
abstract article info
Article history:
Received 9 June 2014
Received in revised form 7 November 2014
Accepted 6 January 2015
Available online 10 January 2015
Keywords:
Collagen
Protein
Atomistic simulations
Continuum model
Compression
Proteins like collagen are the basic building blocks of various body tissues (soft and hard). Collagen molecules
find their presence in the skeletal system of the body where they bear mechanical loads from different directions,
either individually or along with hydroxy-apatite crystals. Therefore, it is very important to understand the
mechanical behavior of the collagen molecule which is subjected to multi-axial state of loading. The estimation
of strains of collagen molecule along different directions resulting from the changes in hydrostatic pressure mag-
nitude, can provide us new insights into its mechanical behavior. In the present work, full atomistic simulations
have been used to study global (volumetric) as well as local (along different directions) mechanical properties of
the hydrated collagen molecule which is subjected to different hydrostatic pressure magnitudes. To estimate the
local mechanical properties, the strains of collagen molecule along its longitudinal and transverse directions have
been acquired at different hydrostatic pressure magnitudes. In spite of non-homogeneous distribution of atoms
within the collagen molecule, the calculated values of local mechanical properties have been found to carry the
same order of magnitude along the longitudinal and transverse directions. It has been demonstrated that the
values of global mechanical properties like compressibility, bulk modulus, etc. as well as local mechanical prop-
erties like linear compressibility, linear elastic modulus, etc. are functions of magnitudes of applied hydrostatic
pressures. The mechanical characteristics of collagen molecule based on the atomistic model have also been
compared with that of the continuum model in the present work. The comparison showed up orthotropic
material behavior for the collagen molecule. The information on collagen molecule provided in the present
study can be very helpful in designing the future bio-materials.
© 2015 Elsevier B.V. All rights reserved.
1. Introduction
With the emerging challenges related to the increasing energy
needs, new medical applications, novel concepts in sensor and actuator
design, reliability and robustness of the devices, conservation of
resources and developing new bio-materials, etc., the study of biological
materials has become an inevitable requirement. The advent of nano-
science and nanotechnology has facilitated high level structural
understanding as well as control of the matter. The use of nano-scale
knowledge to understand the concepts adopted by nature for millions
of years in systematically designing biological materials, and the
exploitation of these concepts for technological as well as bio-medical
applications hold great promise for the future.
At nano-scale lengths, the biological materials are primarily consti-
tuted by protein molecules. To understand the mechanical properties
of biological materials, there is a need to understand the mechanical
response of proteins. Such a response can be explained in terms of the
softness of a protein which is closely associated with its biological
function [1–4]. A measure of protein's softness is defined through its
compressibility which relates the variation in hydrostatic pressure
magnitude to change in its volume. The nature of volume increment
under the conformation transition of macro-molecules as well as their
compressibility has been widely discussed in regard to strains in the
proteins [4,5]. Linear compressibility measurements have been used to
understand the directional dependence of material properties on the
pressure magnitudes [6]. Hence, the accurate evaluation of compress-
ibility of proteins can be very useful to explain the physical mechanism
to understand the structure–function relationship of proteins.
Over the past decade, the application of hydrostatic pressures has
become an important tool for analyzing structural properties as well
as the phase behavior of biological molecules and systems [7–16].
Various studies of the high pressure effect on the proteins can be
classified into two groups. The first group includes the studies of the
folding/unfolding kinetics of proteins as well as activation/inactivation
of enzymes under high pressure magnitudes. The second group covers
the analysis of proteins in different equilibrium conditions. Under the
equilibrium conditions, the studies have been done to investigate the
volume changes of the protein molecule which are the result of the
Materials Science and Engineering C 49 (2015) 720–726
⁎ Corresponding author at: School of Mechanical, Material and Energy Engineering,
Indian Institute of Technology Ropar, Rupnagar 140001, Punjab, India.
E-mail address: karans@iitrpr.ac.in (K. Saini).
http://dx.doi.org/10.1016/j.msec.2015.01.032
0928-4931/© 2015 Elsevier B.V. All rights reserved.
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