title: Modeling and simulation of the effects of cyclic loading on articular cartilage lesion formation.
abstract: We present a model of articular cartilage lesion formation to simulate the effects of cyclic loading. This model extends and modifies the reaction-diffusion-delay model by Graham et al., 2012 for the spread of a lesion formed though a single traumatic event. Our model represents 'implicitly' the effects of loading, meaning through a cyclic sink term in the equations for live cells. Our model forms the basis for in silico studies of cartilage damage relevant to questions in osteoarthritis, for example, that may not be easily answered through in vivo or in vitro studies. Computational results are presented that indicate the impact of differing levels of erythropoietin on articular cartilage lesion abatement.
authors.affiliation: Program in Applied Mathematical and Computational Sciences, University of Iowa, Iowa City, IA 52242.
authors.forename: Xiayi
authors.initials: X
authors.lastname: Wang
authors.forename: Bruce P
authors.initials: BP
authors.lastname: Ayati
authors.forename: Marc J
authors.initials: MJ
authors.lastname: Brouillete
authors.forename: Jason M
authors.initials: JM
authors.lastname: Graham
authors.forename: Prem S
authors.initials: PS
authors.lastname: Ramakrishnan
authors.forename: James A
authors.initials: JA
authors.lastname: Martin
mesh_terms: D002358:Cartilage, Articular / Q000378:metabolism / Q000473:pathology / Q000503:physiopathology*; D019902:Chondrocytes / Q000473:pathology; D003198:Computer Simulation; D004058:Diffusion; D000068817:Epoetin Alfa; D004921:Erythropoietin; D006801:Humans; D008954:Models, Biological; D008962:Models, Theoretical; D010003:Osteoarthritis / Q000378:metabolism / Q000503:physiopathology; D011994:Recombinant Proteins; D013314:Stress, Mechanical
chemical_list: D011994:Recombinant Proteins; D004921:Erythropoietin; D000068817:Epoetin Alfa
keywords: articular cartilage; delay; reaction-diffusion
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