Research Article
Experimental Study of Diffusion Coefficients of Water through
the Collagen: Apatite Porosity in Human Trabecular Bone Tissue
Franco Marinozzi,
1
Fabiano Bini,
1
Alessandro Quintino,
2
Massimo Corcione,
2
and Andrea Marinozzi
3
1
Mechanical and Termal Measurements Laboratory, Department of Mechanical and Aerospace Engineering,
“Sapienza” University of Rome, Via Eudossiana, 18-00184 Rome, Italy
2
Department of Astronautical, Electrical and Energetic Engineering, “Sapienza” University of Rome,
Via Eudossiana, 18-00184 Rome, Italy
3
Orthopaedics and Traumatology Area, University “Campus Bio-Medico”, Via
´
Alvaro del Portillo, 21-00128 Rome, Italy
Correspondence should be addressed to Franco Marinozzi; franco.marinozzi@uniroma1.it
Received 28 February 2014; Revised 16 April 2014; Accepted 28 April 2014; Published 21 May 2014
Academic Editor: Costantino Del Gaudio
Copyright © 2014 Franco Marinozzi et al. Tis is an open access article distributed under the Creative Commons Attribution
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly
cited.
We frstly measured the swelling of single trabeculae from human femur heads during water imbibition. Since the swelling is caused
by water difusing from external surfaces to the core of the sample, by measuring the sample swelling over time, we obtained direct
information about the transport of fuids through the intimate constituents of bone, where the mineralization process takes place.
We developed an apparatus to measure the free expansion of the tissue during the imbibition. In particular, we measured the
swelling along three natural axes (length L, width W, and thickness T) of plate-like trabeculae. For this aim, we developed a 3D
analytical model of the water uptake by the sample that was performed according to Fickian transport mechanism. Te results were
then utilized to predict the swelling over time along the three sample directions (L, W, T) and the apparent difusion coefcients
D
T
, D
W
, and D
L
.
1. Introduction
Transport phenomena within living tissues play an essential
function for maintaining a proper supply of nutrients and
for removing waste products. In bone tissue the transport
of fuids and solutes is a concern for the bone formation
and remodeling. Tese topics must be kept in mind when
designing ECM-like scafolds for tissue engineering to mimic
the functions and structure of the biological materials [1].
Perhaps the most studied ECM with particular attention
to its permeability and porosity is the bone tissue matrix.
Bone is a dynamic and complex composite material with
a composition of around 65 wt.% mineral phase, 25 wt.%
organic, and 10 wt% water [2–8]. Referring to the volume
fractions of the various parts, the bone volume (BV) is
constituted by apatite minerals (33–43% BV) and organic
constituents (32–44% BV) which are in turn composed of
collagen type I (about 90%) and noncollagenous proteins
(about 10%). Te remnant is water (15–25% BV) [9] which
plays a central role in the biomineralization process and
contributes to the overall biomechanical properties of the
biocomposite [10–12].
Water in bone may exist in three diferent forms: free
water in pores, bound water in the collagen network (includ-
ing collagen-mineral interface), and tightly bound water in
the mineral phase [13, 14]. Bones with diferent water content
display diferences in stifness and strength [15, 16]. Moreover,
to describe the mechanical behavior of bone, the contribution
of the bound water should be considered carefully by several
viewpoints: frst, the bound water in the collagen network
will change the viscoelasticity of collagen phase dramatically
[17, 18]; second, the bound water on the mineral-collagen
interface will change the interfacial bonding properties [19];
third, water may migrate and change its local distribution
Hindawi Publishing Corporation
BioMed Research International
Volume 2014, Article ID 796519, 8 pages
http://dx.doi.org/10.1155/2014/796519