A measure of control for secondary cytokine-induced injury of articular cartilage: A computational study

In previous works, the author and collaborators establish a mathematical model for injury response in articular cartilage. In this paper we use mathematical software and computational techniques, applied to an existing model to explore in more detail how the behavior of cartilage cells is influenced by several of, what are believed to be, the most significant mechanisms underlying cartilage injury response at the cellular level. We introduce a control parameter, the radius of attenuation, and present some new simulations that shed light on how inflammation associated with cartilage injuries impacts the metabolic activity of cartilage cells. The details presented in the work can help to elucidate targets for more effective therapies in the preventative treatment of post-traumatic osteoarthritis.

[1]  M. Bianchi DAMPs, PAMPs and alarmins: all we need to know about danger , 2007, Journal of leukocyte biology.

[2]  Michael D Maloney,et al.  Articular Cartilage Biology , 2003, The Journal of the American Academy of Orthopaedic Surgeons.

[3]  J. W. Thomas Numerical Partial Differential Equations: Finite Difference Methods , 1995 .

[4]  Jonathan A. Sherratt,et al.  Models of epidermal wound healing , 1990, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[5]  L. Shampine,et al.  Solving DDEs in MATLAB , 2001 .

[6]  Lawrence F. Shampine,et al.  The MATLAB ODE Suite , 1997, SIAM J. Sci. Comput..

[7]  Jason M. Graham Mathematical representations in musculoskeletal physiology and cell motility , 2012 .

[8]  Farshid Guilak,et al.  Site-Specific Molecular Diffusion in Articular Cartilage Measured using Fluorescence Recovery after Photobleaching , 2003, Annals of Biomedical Engineering.

[9]  H. Harris,et al.  Alarmin(g) news about danger , 2006, EMBO reports.

[10]  Bruce P Ayati,et al.  Reaction-Diffusion-Delay Model for EPO/TNF-α Interaction in articular cartilage lesion abatement , 2011, Biology Direct.

[11]  Lawrence F. Shampine,et al.  Numerical Solution of Delay Differential Equations , 2009 .

[12]  R. Loeser,et al.  Cell death in osteoarthritis , 2008, Current rheumatology reports.

[13]  Thomas D Brown,et al.  Distribution and progression of chondrocyte damage in a whole-organ model of human ankle intra-articular fracture. , 2011, The Journal of bone and joint surgery. American volume.

[14]  A. Cerami,et al.  Erythropoietin‐mediated tissue protection: reducing collateral damage from the primary injury response , 2008, Journal of internal medicine.

[15]  Stephen L. Hillis,et al.  A novel impaction technique to create experimental articular fractures in large animal joints. , 2013, Osteoarthritis and cartilage.