Cucuianu2010 - A hypothetical-mathematical model of acute myeloid leukaemia pathogenesis

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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.
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.
Submitter of the first revision: Johannes Meyer
Submitter of this revision: Johannes Meyer
Modellers: Johannes Meyer

Metadata information

is (2 statements)
BioModels Database BIOMD0000000799
BioModels Database MODEL1908190002

hasProperty (2 statements)
Mathematical Modelling Ontology Ordinary differential equation model
NCIt Acute Myeloid Leukemia

isDescribedBy (1 statement)

Curation status


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Model files

Cucuianu2010.xml SBML L2V4 Representation of Cucuianu2010 - A hypothetical-mathematical model of acute myeloid leukaemia pathogenesis 20.82 KB Preview | Download

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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
  • Version: 2 public model Download this version
    • Submitted on: Aug 19, 2019 2:48:22 PM
    • Submitted by: Johannes Meyer
    • With comment: Automatically added model identifier BIOMD0000000799
: Variable used inside SBML models

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 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)
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).