Fractional Calculus Evaluation of Hyaluronic Acid Crosslinking in a Nanoscopic Part of Articular Cartilage Model System
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.
Piotr Bełdowski, Piotr Weber, Tristan De Leon, Wayne K. Auge, Adam Gadomski. (2018). Fractional Calculus Evaluation of Hyaluronic Acid Crosslinking in a Nanoscopic Part of Articular Cartilage Model System, 25-35. https://doi.org/10.1007/978-3-319-96598-7
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