Baker2017 - The role of cytokines, MMPs and fibronectin fragments osteoarthritis

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Model Identifier
BIOMD0000000928
Short description
Baker2017 - The role of cytokines, MMPs and fibronectin fragments osteoarthritis

This model is described in the article:

Baker M, Brook BS, Owen MR.
J Math Biol 2017 Feb; :

Abstract:

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.

To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information.

Format
SBML (L2V4)
Related Publication
  • Mathematical modelling of cytokines, MMPs and fibronectin fragments in osteoarthritic cartilage.
  • Baker M, Brook BS, Owen MR
  • Journal of mathematical biology , 2/ 2017 , PubMed ID: 28213682
  • School of Computer Science, University of Nottingham, Nottingham, UK. michelle.baker@nottingham.ac.uk.
  • 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.
Contributors
Submitter of the first revision: Michelle Baker
Submitter of this revision: Ahmad Zyoud
Modellers: Michelle Baker, Ahmad Zyoud

Metadata information

is (3 statements)
BioModels Database MODEL1704120000
BioModels Database BIOMD0000000928
BioModels Database MODEL1704120000

isDescribedBy (1 statement)
PubMed 28213682

hasProperty (2 statements)
Mathematical Modelling Ontology Ordinary differential equation model
NCIt Osteoarthritis

isVersionOf (1 statement)

Curation status
Curated


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Model files

Baker2017_Fig14..xml SBML L3V1 representation of Baker2017 - The role of cytokines, MMPs and fibronectin fragments osteoarthritis_Curated-fig14 76.46 KB Preview | Download

Additional files

Baker2017_Fig14.a_1.sedml sed-ml L1V2 representation of Baker2017 - The role of cytokines, MMPs and fibronectin fragments osteoarthritis_Curated-fig14a-1 2.85 KB Preview | Download
Baker2017_Fig14.a_2.sedml sed-ml L1V2 representation of Baker2017 - The role of cytokines, MMPs and fibronectin fragments osteoarthritis_Curated-fig14a-2 2.83 KB Preview | Download
Baker2017_Fig14.a_3.sedml sed-ml L1V2 representation of Baker2017 - The role of cytokines, MMPs and fibronectin fragments osteoarthritis_Curated-fig14a-3 2.84 KB Preview | Download
Baker2017_Fig14.b_1.sedml sed-ml L1V2 representation of Baker2017 - The role of cytokines, MMPs and fibronectin fragments osteoarthritis_Curated-fig14b-1 2.84 KB Preview | Download
Baker2017_Fig14.b_2.sedml sed-ml L1V2 representation of Baker2017 - The role of cytokines, MMPs and fibronectin fragments osteoarthritis_Curated-fig14b-2 2.84 KB Preview | Download
Baker2017_Fig14.cps COPASI version 4.27 (Build 217) representation of Baker2017 - The role of cytokines, MMPs and fibronectin fragments osteoarthritis_Curated-fig14 101.06 KB Preview | Download
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  • Model originally submitted by : Michelle Baker
  • Submitted: Apr 12, 2017 10:02:35 AM
  • Last Modified: Apr 2, 2020 5:32:03 PM
Revisions
  • Version: 4 public model Download this version
    • Submitted on: Apr 2, 2020 5:32:03 PM
    • Submitted by: Ahmad Zyoud
    • With comment: Automatically added model identifier BIOMD0000000928
  • Version: 2 public model Download this version
    • Submitted on: Jun 27, 2017 12:58:58 PM
    • Submitted by: Michelle Baker
    • With comment: Current version of Baker2017 - The role of cytokines, MMPs and fibronectin fragments osteoarthritis
  • Version: 1 public model Download this version
    • Submitted on: Apr 12, 2017 10:02:35 AM
    • Submitted by: Michelle Baker
    • With comment: Original import of OAModelODE translated by MOCCASIN

(*) You might be seeing discontinuous revisions as only public revisions are displayed here. Any private revisions unpublished model revision of this model will only be shown to the submitter and their collaborators.

Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
solution0

Cytokine ; Inflammation
0.18 mol
solution3

D-threo-Aldono-1,5-lactone
0.75 mol
solution1

Cytokine ; Anti-inflammatory
5.0 mol
solution2

Matrix Metalloproteinase
0.55 mol
Reactions
Reactions Rate Parameters
solution0 + solution1 => solution0 + solution1 compartmentOne*1/(1+solution1^2)*Ppp/(1+solution0^2)*solution0^2/compartmentOne Ppp = 10.0
solution1 + solution3 => solution0 + solution1 + solution3 compartmentOne*1/(1+solution1^2)*Pfp/(1+solution3^2)*solution3^2/compartmentOne Pfp = 10.0
solution1 => solution0 + solution1 compartmentOne*Pbp/(1+solution1^2)/compartmentOne Pbp = 0.01
solution3 => solution1 + solution3 compartmentOne*Afp*1/(Afh^2+solution3^2)*solution3^2/compartmentOne Afh = 1.0; Afp = 10.0
solution2 => compartmentOne*Gamma_m*solution2/compartmentOne Gamma_m = 1.0
solution3 => compartmentOne*Gamma_f*solution3/compartmentOne Gamma_f = 1.0
solution0 => solution0 + solution2 compartmentOne*Mpp*1/(Mph^2+solution0^2)*solution0^2/compartmentOne Mph = 1.0; Mpp = 10.0
Curator's comment:
(added: 02 Apr 2020, 17:31:45, updated: 02 Apr 2020, 17:31:45)
sligh changes have been done for the parameter in this model The dose time was change from t=16 to t=15 to reproduce the figure14b1 the amount of dose also has been changed as following m=0.2(m) f=0.2(f) p=0.1(p) The model has been curated using Copasi 4.21 (Build 217)