Cucuianu2010 - A hypothetical-mathematical model of acute myeloid leukaemia pathogenesis
Model Identifier
BIOMD0000000799
Short description
This is a simple mathematical model describing the growth and removal of normal and leukemic haematopoietic stem cell populations and the role of these cellular processes in generating monoclonal leukemic patterns.
Format
SBML
(L2V4)
Related Publication
- A hypothetical-mathematical model of acute myeloid leukaemia pathogenesis
- Cucuianu, A., Precup, R.
- Computational and Mathematical Methods in Medicine , 1/ 2010 , Volume 2010 , pages: 49-65 , DOI: 10.1080/17486700902973751
- Department of Hematology, Cancer Institute, 73, 21 Decembrie Bvd., Cluj, Romania
- Acute myeloid leukaemia is defined by the expansion of a mutated haematopoietic stem cell clone, with the inhibition of surrounding normal clones. Haematopoiesis can be seen as an evolutionary tree, starting with one cell that undergoes several divisions during the expansion phase, afterwards losing functional cells during the aging-related contraction phase. During divisions, offspring cells acquire variations, which can be either normal or abnormal. If an abnormal variation is present in more than 25% of the final cells, a monoclonal, leukemic pattern occurs. Such a pattern develops if: (A1) The abnormal variation occurs early, during the first or second divisions; (A2) The variation confers exceptional proliferative capacity; (B) A sizable proportion of the normal clones are destroyed and a previously non-significant abnormal clone gains relative dominance over a depleted environment; (C) The abnormal variation confers relative immortality, rendering it significant during the contraction phase. Combinations of these pathways further enhance the leukemic risk of the system. A simple mathematical model is used in order to characterize normal and leukemic states and to explain the above cellular processes generating monoclonal leukemic patterns.
Contributors
Submitter of the first revision: Johannes Meyer
Submitter of this revision: Johannes Meyer
Modellers: Johannes Meyer
Submitter of this revision: Johannes Meyer
Modellers: Johannes Meyer
Metadata information
is (2 statements)
hasProperty (2 statements)
isDescribedBy (1 statement)
hasProperty (2 statements)
isDescribedBy (1 statement)
Curation status
Curated
Modelling approach(es)
Tags
Connected external resources
Name | Description | Size | Actions |
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Model files |
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Cucuianu2010.xml | SBML L2V4 Representation of Cucuianu2010 - A hypothetical-mathematical model of acute myeloid leukaemia pathogenesis | 20.82 KB | Preview | Download |
Additional files |
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Cucuianu2010.cps | COPASI file of Cucuianu2010 - A hypothetical-mathematical model of acute myeloid leukaemia pathogenesis | 45.46 KB | Preview | Download |
Cucuianu2010.sedml | SED-ML file of Cucuianu2010 - A hypothetical-mathematical model of acute myeloid leukaemia pathogenesis | 2.53 KB | Preview | Download |
- Model originally submitted by : Johannes Meyer
- Submitted: Aug 19, 2019 2:48:22 PM
- Last Modified: Aug 19, 2019 2:48:22 PM
Revisions
Legends
: Variable used inside SBML models
: Variable used inside SBML models
Species
Species | Initial Concentration/Amount |
---|---|
y Leukemic Cell leukemic stem cell ; bone marrow |
1.5 item |
x Normal Hematopoietic Stem Cell hematopoietic stem cell ; bone marrow |
4.5 item |
Reactions
Reactions | Rate | Parameters |
---|---|---|
y_Leukemic_Cell => | compartment*C*y_Leukemic_Cell | C = 0.1 |
x_Normal_Hematopoietic_Stem_Cell => | compartment*c*x_Normal_Hematopoietic_Stem_Cell | c = 0.1 |
=> x_Normal_Hematopoietic_Stem_Cell; y_Leukemic_Cell | compartment*a*x_Normal_Hematopoietic_Stem_Cell/(1+b*(x_Normal_Hematopoietic_Stem_Cell+y_Leukemic_Cell)) | a = 0.3; b = 0.5 |
=> y_Leukemic_Cell; x_Normal_Hematopoietic_Stem_Cell | compartment*A*y_Leukemic_Cell/(1+B*(x_Normal_Hematopoietic_Stem_Cell+y_Leukemic_Cell)) | B = 0.5; A = 0.3 |
Curator's comment:
(added: 19 Aug 2019, 14:48:09, updated: 19 Aug 2019, 14:48:09)
(added: 19 Aug 2019, 14:48:09, updated: 19 Aug 2019, 14:48:09)
Reproduced plot of Figure 8 (left panel) in the original publication. Parameters and initial conditions are as indicated in figure caption and text, respectively.
Model simulated and plot produced using COPASI 4.24 (Build 197).