Koenders2015 - multiple myeloma

Model Identifier
BIOMD0000000804
Short description
The paper describes a model of multiple myeloma.
Created by COPASI 4.26 (Build 213)
This model is described in the article:
A mathematical model of cell equilibrium and joint cell formation in multiple myeloma
M.A. Koenders, R. Saso
Journal of Theoretical Biology 390 (2016) 73–79
Abstract:
In Multiple Myeloma Bone Disease healthy bone remodelling is affected by tumour cells by means of paracrine cytokinetic signalling in such a way that osteoclast formation is enhanced and the growth of osteoblast cells inhibited. The participating cytokines are described in the literature. Osteoclast-induced myeloma cell growth is also reported. Based on existing mathematical models for healthy bone remo- delling a three-way equilibrium model is presented for osteoclasts, osteoblasts and myeloma cell populations to describe the progress of the illness in a scenario in which there is a secular increase in the cytokinetic interactive effectiveness of paracrine processes. The equilibrium state for the system is obtained. The paracrine interactive effectiveness is explored by parameter variation and the stable region in the parameter space is identified. Then recently-discovered joint myeloma–osteoclast cells are added to the model to describe the populations inside lytic lesions. It transpires that their presence expands the available parameter space for stable equilibrium, thus permitting a detrimental, larger population of osteoclasts and myeloma cells. A possible relapse mechanism for the illness is explored by letting joint cells dissociate. The mathematics then permits the evaluation of the evolution of the cell populations as a function of time during relapse.
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Format
SBML
(L3V1)
Related Publication
-
A mathematical model of cell equilibrium and joint cell formation in multiple myeloma.
- Koenders MA, Saso R
- Journal of theoretical biology , 2/ 2016 , Volume 390 , pages: 73-79 , PubMed ID: 26643942
- Department Engineering and The Environment, University of Southampton, Highfield, Southampton SO17 1BJ, UK. Electronic address: c_koenders@yahoo.com.
- In Multiple Myeloma Bone Disease healthy bone remodelling is affected by tumour cells by means of paracrine cytokinetic signalling in such a way that osteoclast formation is enhanced and the growth of osteoblast cells inhibited. The participating cytokines are described in the literature. Osteoclast-induced myeloma cell growth is also reported. Based on existing mathematical models for healthy bone remodelling a three-way equilibrium model is presented for osteoclasts, osteoblasts and myeloma cell populations to describe the progress of the illness in a scenario in which there is a secular increase in the cytokinetic interactive effectiveness of paracrine processes. The equilibrium state for the system is obtained. The paracrine interactive effectiveness is explored by parameter variation and the stable region in the parameter space is identified. Then recently-discovered joint myeloma-osteoclast cells are added to the model to describe the populations inside lytic lesions. It transpires that their presence expands the available parameter space for stable equilibrium, thus permitting a detrimental, larger population of osteoclasts and myeloma cells. A possible relapse mechanism for the illness is explored by letting joint cells dissociate. The mathematics then permits the evaluation of the evolution of the cell populations as a function of time during relapse.
Contributors
Submitter of the first revision: Jinghao Men
Submitter of this revision: Jinghao Men
Modellers: Jinghao Men
Submitter of this revision: Jinghao Men
Modellers: Jinghao Men
Metadata information
is (2 statements)
isDescribedBy (1 statement)
hasTaxon (1 statement)
hasProperty (2 statements)
isDescribedBy (1 statement)
hasTaxon (1 statement)
hasProperty (2 statements)
Mathematical Modelling Ontology
Ordinary differential equation model
Experimental Factor Ontology multiple myeloma
Experimental Factor Ontology multiple myeloma
Curation status
Curated
Modelling approach(es)
Tags
Connected external resources
Name | Description | Size | Actions |
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Model files |
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Koenders2015.xml | SBML L3V1 representation of multiple myeloma model | 60.92 KB | Preview | Download |
Additional files |
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Koenders2015.cps | CPS file of the model in COPASI | 76.37 KB | Preview | Download |
Koenders2015.sedml | Auto-generated SEDML file | 2.77 KB | Preview | Download |
- Model originally submitted by : Jinghao Men
- Submitted: Aug 29, 2019 4:23:40 PM
- Last Modified: Aug 29, 2019 4:23:40 PM
Revisions
Legends
: Variable used inside SBML models
: Variable used inside SBML models
Species
Species | Initial Concentration/Amount |
---|---|
C osteoclast |
1.14404610267855 mmol |
T myeloma cell |
10.0 mmol |
B osteoblast |
208.00838230519 mmol |
Reactions
Reactions | Rate | Parameters |
---|---|---|
=> C; B, T | tme*ac*C^gcc*B^gcb*(1+hct*T) | gcb = -0.5 1; hct = 0.0 1; ac = 3.0 1/d; gcc = 0.0 1 |
=> T; C | tme*at*C^gtc*T^gtt | at = 0.316227766016838 1/d; gtt = 0.5 1; gtc = 0.0 1 |
=> B; C, T | tme*ab*C^gbc*B^gbb*(1-hbt*T) | gbc = 1.0 1; hbt = 0.0 1; gbb = 0.0 1; ab = 4.0 1/d |
B => | tme*bb*B | bb = 0.02 1/d |
C => | tme*bc*C | bc = 0.2 1/d |
T => | tme*bt*T | bt = 0.1 1/d |
Curator's comment:
(added: 29 Aug 2019, 16:23:34, updated: 29 Aug 2019, 16:23:34)
(added: 29 Aug 2019, 16:23:34, updated: 29 Aug 2019, 16:23:34)
Publication figure 3 reproduced as per literature. Figure data is generated using COPASI 4.26 (build 213).