TY - JOUR
T1 - A mechano-chemical model for the passive swelling response of an isolated chondron under osmotic loading
AU - Haider, Mansoor A.
AU - Schugart, Richard C.
AU - Setton, Lori A.
AU - Guilak, Farshid
N1 - Funding Information:
Acknowledgements This work has been supported by funding from The Whitaker Foundation (RG-020933), NSF (DMS-0211154), and NIH (AG15768, AR50245, AR48182, and AR47442).
PY - 2006/6
Y1 - 2006/6
N2 - The chondron is a distinct structure in articular cartilage that consists of the chondrocyte and its pericellular matrix (PCM), a narrow tissue region surrounding the cell that is distinguished by type VI collagen and a high glycosaminoglycan concentration relative to the extracellular matrix. We present a theoretical mechano-chemical model for the passive volumetric response of an isolated chondron under osmotic loading in a simple salt solution at equilibrium. The chondrocyte is modeled as an ideal osmometer and the PCM model is formulated using triphasic mixture theory. A mechano-chemical chondron model is obtained assuming that the chondron boundary is permeable to both water and ions, while the chondrocyte membrane is selectively permeable to only water. For the case of a neo-Hookean PCM constitutive law, the model is used to conduct a parametric analysis of cell and chondron deformation under hyper- and hypo-osmotic loading. In combination with osmotic loading experiments on isolated chondrons, model predictions will aid in determination of pericellular fixed charge density and its relative contribution to PCM mechanical properties.
AB - The chondron is a distinct structure in articular cartilage that consists of the chondrocyte and its pericellular matrix (PCM), a narrow tissue region surrounding the cell that is distinguished by type VI collagen and a high glycosaminoglycan concentration relative to the extracellular matrix. We present a theoretical mechano-chemical model for the passive volumetric response of an isolated chondron under osmotic loading in a simple salt solution at equilibrium. The chondrocyte is modeled as an ideal osmometer and the PCM model is formulated using triphasic mixture theory. A mechano-chemical chondron model is obtained assuming that the chondron boundary is permeable to both water and ions, while the chondrocyte membrane is selectively permeable to only water. For the case of a neo-Hookean PCM constitutive law, the model is used to conduct a parametric analysis of cell and chondron deformation under hyper- and hypo-osmotic loading. In combination with osmotic loading experiments on isolated chondrons, model predictions will aid in determination of pericellular fixed charge density and its relative contribution to PCM mechanical properties.
UR - http://www.scopus.com/inward/record.url?scp=33646875742&partnerID=8YFLogxK
U2 - 10.1007/s10237-006-0026-1
DO - 10.1007/s10237-006-0026-1
M3 - Article
C2 - 16520959
AN - SCOPUS:33646875742
SN - 1617-7959
VL - 5
SP - 160
EP - 171
JO - Biomechanics and Modeling in Mechanobiology
JF - Biomechanics and Modeling in Mechanobiology
IS - 2-3
ER -