Access the full text.
Sign up today, get DeepDyve free for 14 days.
C. Scanzello, S. Goldring (2012)
The role of synovitis in osteoarthritis pathogenesis.Bone, 51 2
R. Evans, T. Quinn (2006)
Dynamic compression augments interstitial transport of a glucose-like solute in articular cartilage.Biophysical journal, 91 4
P. Conaghan (2013)
Osteoarthritis in 2012: Parallel evolution of OA phenotypes and therapiesNature Reviews Rheumatology, 9
Xiayi Wang, M. Brouillette, B. Ayati, James Martin (2015)
A Validated Model of the Pro- and Anti-Inflammatory Cytokine Balancing Act in Articular Cartilage Lesion FormationFrontiers in Bioengineering and Biotechnology, 3
P. Qvist, A. Bay‐Jensen, C. Christiansen, E. Dam, P. Pastoureau, M. Karsdal (2008)
The disease modifying osteoarthritis drug (DMOAD): Is it in the horizon?Pharmacological research, 58 1
Rukmini Kumar, G. Clermont, Y. Vodovotz, C. Chow (2004)
The dynamics of acute inflammation.Journal of theoretical biology, 230 2
F. Berenbaum (2013)
Osteoarthritis as an inflammatory disease (osteoarthritis is not osteoarthrosis!).Osteoarthritis and cartilage, 21 1
G. Hawker, L. Stewart, M. French, J. Cibere, J. Jordan, L. March, M. Suarez‐Almazor, R. Gooberman-Hill (2008)
Understanding the pain experience in hip and knee osteoarthritis--an OARSI/OMERACT initiative.Osteoarthritis and cartilage, 16 4
A. Pearle, R. Warren, S. Rodeo (2005)
Basic science of articular cartilage and osteoarthritis.Clinics in sports medicine, 24 1
M. Vincenti, C. Brinckerhoff (2001)
Transcriptional regulation of collagenase (MMP-1, MMP-13) genes in arthritis: integration of complex signaling pathways for the recruitment of gene-specific transcription factorsArthritis Research, 4
J. Fernandes, J. Martel-Pelletier, J. Pelletier (2002)
The role of cytokines in osteoarthritis pathophysiology.Biorheology, 39 1-2
Andreas Begitt, Mathias Droescher, T. Meyer, C. Schmid, Michelle Baker, Filipa Antunes, K. Knobeloch, M. Owen, R. Naumann, T. Decker, U. Vinkemeier (2014)
STAT1-cooperative DNA binding distinguishes type 1 from type 2 interferon signalingNature Immunology, 15
M Vincenti, C Brinckerhoff (2002)
Transcriptional regulation of collagenase (mmp-1, mmp-13) genes in arthritis: integration of complex signaling pathways for the recruitment of gene-specificArthritis Res, 4
廣畑 和志, 松原 司 (1985)
Cartilage in health and disease
P. Hoff, F. Buttgereit, G. Burmester, M. Jakstadt, T. Gaber, Kristin Andreas, G. Matziolis, C. Perka, E. Röhner (2012)
Osteoarthritis synovial fluid activates pro-inflammatory cytokines in primary human chondrocytesInternational Orthopaedics, 37
J Martel-Pelletier (2004)
Pathophysiology of osteoarthritisOsteoarthr Cartil/OARS Osteoarthr Res Soc, 12
M. Jit, B. Henderson, M. Stevens, R. Seymour (2005)
TNF-α neutralization in cytokine-driven diseases: a mathematical model to account for therapeutic success in rheumatoid arthritis but therapeutic failure in systemic inflammatory response syndromeRheumatology, 44
J. Fernandes, G. Tardif, J. Martel-Pelletier, V. Lascau-Coman, M. Dupuis, F. Moldovan, Mike Sheppard, B. Krishnan, J. Pelletier (1999)
In vivo transfer of interleukin-1 receptor antagonist gene in osteoarthritic rabbit knee joints: prevention of osteoarthritis progression.The American journal of pathology, 154 4
M. Maly, C. Cott (2009)
Being careful: a grounded theory of emergent chronic knee problems.Arthritis and rheumatism, 61 7
F. Iannone, G. Lapadula (2003)
The pathophysiology of osteoarthritisAging Clinical and Experimental Research, 15
C. Scanzello, E. Umoh, F. Pessler, C. Díaz-Torné, T. Miles, E. Dicarlo, H. Potter, L. Mandl, R. Marx, S. Rodeo, S. Goldring, M. Crow (2009)
Local cytokine profiles in knee osteoarthritis: elevated synovial fluid interleukin-15 differentiates early from end-stage disease.Osteoarthritis and cartilage, 17 8
Jason Graham, B. Ayati, L. Ding, P. Ramakrishnan, James Martin (2011)
Reaction-Diffusion-Delay Model for EPO/TNF-α Interaction in articular cartilage lesion abatementBiology Direct, 7
L. Sandell, T. Aigner (2001)
Articular cartilage and changes in Arthritis: Cell biology of osteoarthritisArthritis Research, 3
Vera Vasas, Chrisantha Fernando, Mauro Santos, S. Kauffman, E. Szathmáry (2012)
Evolution before genesBiology Direct, 7
X. Chevalier, P. Goupille, A. Beaulieu, F. Burch, W. Bensen, T. Conrozier, D. Loeuille, A. Kivitz, D. Silver, B. Appleton (2009)
Intraarticular injection of anakinra in osteoarthritis of the knee: a multicenter, randomized, double-blind, placebo-controlled study.Arthritis and rheumatism, 61 3
L. Tetlow, L. Tetlow, D. Adlam, D. Woolley (2001)
Matrix metalloproteinase and proinflammatory cytokine production by chondrocytes of human osteoarthritic cartilage: associations with degenerative changes.Arthritis and rheumatism, 44 3
M. Goldring (2000)
Osteoarthritis and cartilage: The role of cytokinesCurrent Rheumatology Reports, 2
G. Homandberg, C. Wen, F. Hui (1998)
Cartilage damaging activities of fibronectin fragments derived from cartilage and synovial fluid.Osteoarthritis and cartilage, 6 4
D. Felson, R. Lawrence, P. Dieppe, R. Hirsch, C. Helmick, J. Jordan, R. Kington, N. Lane, M. Nevitt, Yuqing Zhang, M. Sowers, T. McAlindon, T. Spector, A. Poole, S. Yanovski, G. Ateshian, L. Sharma, J. Buckwalter, K. Brandt, J. Fries (2000)
Osteoarthritis: New Insights. Part 1: The Disease and Its Risk FactorsAnnals of Internal Medicine, 133
P. Creamer, M. Hochberg (1997)
Osteoarthritis of the kneeThe Lancet, 350
C. Roubille, J. Pelletier, J. Martel-Pelletier (2015)
Drug/Agent Treatments for Osteoarthritis: Present and Future
LJ Sandell, T Aigner (2001)
Articular cartilage and changes in arthritis. an introduction: cell biology of osteoarthritisArthritis Res, 3
X Chevalier, P Goupille, AD Beaulieu, FX Burch, WG Bensen, T Conrozier, D Loeuille, AJ Kivitz, D Silver, BE Appleton (2009)
Intraarticular injection of anakinra in osteoarthritis of the knee: a multicenter, randomized, double-blind, placebo-controlled studyArthritis Care Res, 61
R. Seymour, B. Henderson (2001)
Pro-inflammatory--anti-inflammatory cytokine dynamics mediated by cytokine-receptor dynamics in monocytes.IMA journal of mathematics applied in medicine and biology, 18 2
Michelle Baker, S. Denman-Johnson, B. Brook, I. Gaywood, M. Owen (2013)
Mathematical modelling of cytokine-mediated inflammation in rheumatoid arthritis.Mathematical medicine and biology : a journal of the IMA, 30 4
JM Graham, BP Ayati, L Ding, PS Ramakrishnan, JA Martin (2012)
Reaction–diffusion-delay model for EPO/TNF- $$\alpha $$ α interaction in articular cartilage lesion abatementBiol Direct, 7
D. Manicourt, M. Bevilacqua, V. Righini, J. Famaey, J. Devogelaer (2005)
Comparative Effect of Nimesulide and Ibuprofen on the Urinary Levels of Collagen Type II C-Telopeptide Degradation Products and on the Serum Levels of Hyaluronan and Matrix Metalloproteinases-3 and -13 in Patients with Flare-Up of OsteoarthritisDrugs in R & D, 6
RM Seymour, B Henderson (2001)
Pro-inflammatoryanti-inflammatory cytokine dynamics mediated by cytokinereceptor dynamics in monocytesMath Med Biol, 18
E. Izhikevich (2006)
Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting
Piotr Wojdasiewicz, Łukasz Poniatowski, D. Szukiewicz (2014)
The Role of Inflammatory and Anti-Inflammatory Cytokines in the Pathogenesis of OsteoarthritisMediators of Inflammation, 2014
Elisa Domínguez-Hüttinger, M. Ono, Mauricio Barahona, R. Tanaka (2013)
Risk factor-dependent dynamics of atopic dermatitis: modelling multi-scale regulation of epithelium homeostasisInterface Focus, 3
C. Westacott, M. Sharif (1996)
Cytokines in osteoarthritis: mediators or markers of joint destruction?Seminars in arthritis and rheumatism, 25 4
J. Caron, J. Fernandes, J. Martel-Pelletier, G. Tardif, F. Mineau, C. Geng, J. Pelletier (1996)
Chondroprotective effect of intraarticular injections of interleukin-1 receptor antagonist in experimental osteoarthritis. Suppression of collagenase-1 expression.Arthritis and rheumatism, 39 9
G. Homandberg, F. Hui, C. Wen, C. Purple, K. Bewsey, Holger Koepp, Klaus Huch, A. Harris (1997)
Fibronectin-fragment-induced cartilage chondrolysis is associated with release of catabolic cytokines.The Biochemical journal, 321 ( Pt 3)
S. Opal, V. DePalo (2000)
Anti-inflammatory cytokines.Chest, 117 4
Le Zhang, A. Szeri (2005)
Transport of neutral solute in articular cartilage: effects of loading and particle sizeProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461
J. Martel-Pelletier, N. Alaaeddine, J. Pelletier (1999)
Cytokines and their role in the pathophysiology of osteoarthritis.Frontiers in bioscience : a journal and virtual library, 4
J. Martel-Pelletier, C. Boileau, J. Pelletier, P. Roughley (2008)
Cartilage in normal and osteoarthritis conditions.Best practice & research. Clinical rheumatology, 22 2
N Arden, C Cooper (2005)
Osteoarthr Handb
P Creamer, MC Hochberg (1997)
OsteoarthritisLancet, 350
M. Goldring (2000)
The role of the chondrocyte in osteoarthritis.Arthritis and rheumatism, 43 9
Nigel Arden, I. Reading, K. Jordan, L. Thomas, H. Platten, A. Hassan, J. Ledingham (2008)
A randomised controlled trial of tidal irrigation vs corticosteroid injection in knee osteoarthritis: the KIVIS Study.Osteoarthritis and cartilage, 16 6
B. O'Hara, J. Urban, A. Maroudas (1990)
Influence of cyclic loading on the nutrition of articular cartilage.Annals of the Rheumatic Diseases, 49
(2015)
Osteoarthritis: pathogenesis, diagnosis, available treatments, drug safety, regenerative and precision medicine
Kelli Allen, Kelli Allen, C. Coffman, C. Coffman, Y. Golightly, K. Stechuchak, F. Keefe (2009)
Daily pain variations among patients with hand, hip, and knee osteoarthritis.Osteoarthritis and cartilage, 17 10
E. Hedbom, H. Häuselmann (2002)
Molecular aspects of pathogenesis in osteoarthritis: the role of inflammationCellular and Molecular Life Sciences CMLS, 59
MR Maly, CA Cott (2009)
Being careful: a grounded theory of emergent chronic knee problemsArthritis Care Res, 61
Meagan Herald (2010)
General Model of InflammationBulletin of Mathematical Biology, 72
G. Homandberg (1999)
Potential regulation of cartilage metabolism in osteoarthritis by fibronectin fragments.Frontiers in bioscience : a journal and virtual library, 4
M Jit, B Henderson, M Stevens, RM Seymour (2005)
TNF- $$\alpha $$ α neutralization in cytokine-driven diseases: a mathematical model to account for therapeutic success in rheumatoid arthritis but therapeutic failure in systemic inflammatory response syndromeRheumatology, 44
(1981)
Bifurcations of a limit cycle for a family of vector fields on the plane
Osteoarthritis (OA) is a degenerative disease which causes pain and stiffness in joints. OA progresses through excessive degradation of joint cartilage, eventually leading to significant joint degeneration and loss of function. Cytokines, a group of cell signalling proteins, present in raised concentrations in OA joints, can be classified into pro-inflammatory and anti-inflammatory groups. They mediate cartilage degradation through several mechanisms, primarily the up-regulation of matrix metalloproteinases (MMPs), a group of collagen-degrading enzymes. In this paper we show that the interactions of cytokines within cartilage have a crucial role to play in OA progression and treatment. We develop a four-variable ordinary differential equation model for the interactions between pro- and anti-inflammatory cytokines, MMPs and fibronectin fragments (Fn-fs), a by-product of cartilage degradation and up-regulator of cytokines. We show that the model has four classes of dynamic behaviour: homoeostasis, bistable inflammation, tristable inflammation and persistent inflammation. We show that positive and negative feedbacks controlling cytokine production rates can determine either a pre-disposition to OA or initiation of OA. Further, we show that manipulation of cytokine, MMP and Fn-fs levels can be used to treat OA, but we suggest that multiple treatment targets may be essential to halt or slow disease progression.
Journal of Mathematical Biology – Springer Journals
Published: Feb 17, 2017
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.