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Computational Approach for Complete Lyapunov Functions Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Fractional Calculus Evaluation of Hyaluronic Acid Crosslinking in a Nanoscopic Part of Articular Cartilage Model System

Authors : Piotr Bełdowski, Piotr Weber, Tristan De Leon, Wayne K. Auge II, Adam Gadomski

Published in: Dynamical Systems in Theoretical Perspective

Publisher: Springer International Publishing

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Abstract

This work presents a study of the mechanism of physical crosslinking of hyaluronic acid in the presence of common phospholipids in synovial joint organ systems. Molecular dynamic simulations have been executed to understand the formation of hyaluronan networks at various phospholipid concentrations. The results of the simulations suggest that the mechanisms exhibit subdiffusion characteristics. Transportation quantities derive as a function of time during numerical calculations of mean square displacement, and observations of sublinear growth were noted. Coarse-grained models are deployed to obtain a mathematical description where a random walker and several subdiffusion schemes of its motion describe the models. The findings of this study may establish mechanisms of biopolymer network formations in normal and pathologic synovial fluid and help elucidate the mechanism of facilitated AC biolubrication.

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Metadata
Title
Fractional Calculus Evaluation of Hyaluronic Acid Crosslinking in a Nanoscopic Part of Articular Cartilage Model System
Authors
Piotr Bełdowski
Piotr Weber
Tristan De Leon
Wayne K. Auge II
Adam Gadomski
Copyright Year
2018
Book
Dynamical Systems in Theoretical Perspective

Print ISBN: 978-3-319-96597-0

Electronic ISBN: 978-3-319-96598-7

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-96598-7_3

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