Mechanical model for a collagen fibril pair in extracellular matrix.

European Biophysics Journal : EBJ
Yue ChanJames M Hill

Abstract

In this paper, we model the mechanics of a collagen pair in the connective tissue extracellular matrix that exists in abundance throughout animals, including the human body. This connective tissue comprises repeated units of two main structures, namely collagens as well as axial, parallel and regular anionic glycosaminoglycan between collagens. The collagen fibril can be modeled by Hooke's law whereas anionic glycosaminoglycan behaves more like a rubber-band rod and as such can be better modeled by the worm-like chain model. While both computer simulations and continuum mechanics models have been investigated for the behavior of this connective tissue typically, authors either assume a simple form of the molecular potential energy or entirely ignore the microscopic structure of the connective tissue. Here, we apply basic physical methodologies and simple applied mathematical modeling techniques to describe the collagen pair quantitatively. We found that the growth of fibrils was intimately related to the maximum length of the anionic glycosaminoglycan and the relative displacement of two adjacent fibrils, which in return was closely related to the effectiveness of anionic glycosaminoglycan in transmitting forces between fibrils...Continue Reading

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Citations

Apr 9, 2019·Journal of the Royal Society, Interface·D ArolaE A Ossa
Mar 27, 2010·Journal of Agricultural and Food Chemistry·Melissa M Basil-JonesRichard G Haverkamp
Nov 10, 2013·Journal of Agricultural and Food Chemistry·Hannah C WellsRichard G Haverkamp
Jan 10, 2013·Journal of Agricultural and Food Chemistry·Katie H SizelandRichard G Haverkamp
Jan 12, 2012·Journal of Agricultural and Food Chemistry·Melissa M Basil-JonesRichard G Haverkamp
Oct 9, 2017·ACS Biomaterials Science & Engineering·Katie H SizelandRichard G Haverkamp
Aug 23, 2011·Journal of Agricultural and Food Chemistry·Melissa M Basil-JonesRichard G Haverkamp

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