Precup2012  Mathematical modeling of cell dynamics after allogeneic bone marrow transplantation
Model Identifier
BIOMD0000000800
Short description
This is a basic mathematical model describing the dynamics of three cell lines (normal host cells, leukemic host cells and donor cells) after allogeneic stem cell transplantation.
Format
SBML
(L2V4)
Related Publication
 Mathematical modeling of cell dynamics after allogeneic bone marrow transplantation
 Precup, R., Arghirescu, S., Cucuianu, A., Erban, M.
 International Journal of Biomathematics , 3/ 2012 , Volume 5 , Issue 2 , DOI: 10.1142/S1793524511001684
 Department of Applied Mathematics, BabeBolyai University, Cluj 400084, Romania
 In this paper a basic mathematical model is introduced to describe the dynamics of three cell lines after allogeneic stem cell transplantation: normal host cells, leukemic host cells and donor cells. Their evolution is one of competitive type and depends upon kinetic and cellcell interaction parameters. Numerical simulations prove that the evolution can ultimately lead either to the normal hematopoietic state achieved by the expansion of the donor cells and the elimination of the host cells, or to the leukemic hematopoietic state characterized by the proliferation of the cancer line and the suppression of the other cell lines. One state or the other is reached depending on cellcell interactions (antihost, antileukemia and antigraft effects) and initial cell concentrations at transplantation. The model also provides a theoretical basis for the control of posttransplant evolution aimed at the achievement of normal hematopoiesis.
Contributors
Submitter of the first revision: Johannes Meyer
Submitter of this revision: Tung Nguyen
Modellers: Tung Nguyen, Johannes Meyer
Submitter of this revision: Tung Nguyen
Modellers: Tung Nguyen, Johannes Meyer
Metadata information
is (2 statements)
hasProperty (3 statements)
isDescribedBy (1 statement)
isDerivedFrom (1 statement)
hasProperty (3 statements)
isDescribedBy (1 statement)
isDerivedFrom (1 statement)
Curation status
Curated
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Model files 

Precup2012.xml  SBML L2V4 Representation of Precup2012  Mathematical modeling of cell dynamics after allogeneic bone marrow transplantation  31.22 KB  Preview  Download 
Additional files 

Precup2012.cps  COPASI file of Precup2012  Mathematical modeling of cell dynamics after allogeneic bone marrow transplantation  61.40 KB  Preview  Download 
Precup2012.sedml  SEDML file of Precup2012  Mathematical modeling of cell dynamics after allogeneic bone marrow transplantation  2.67 KB  Preview  Download 
 Model originally submitted by : Johannes Meyer
 Submitted: Aug 19, 2019 4:21:58 PM
 Last Modified: Oct 1, 2021 10:03:04 AM
Revisions

Version: 4
 Submitted on: Oct 1, 2021 10:03:04 AM
 Submitted by: Tung Nguyen
 With comment: Automatically added model identifier BIOMD0000000800

Version: 2
 Submitted on: Aug 19, 2019 4:21:58 PM
 Submitted by: Johannes Meyer
 With comment: Automatically added model identifier BIOMD0000000800
(*) You might be seeing discontinuous revisions as only public revisions are displayed here. Any private revisions of this model will only be shown to the submitter and their collaborators.
Legends
: Variable used inside SBML models
: Variable used inside SBML models
Species
Species  Initial Concentration/Amount 

x hematopoietic stem cell ; bone marrow 
2.0E8 item 
z hematopoietic stem cell ; bone marrow 
4.0E8 item 
y leukemic stem cell ; bone marrow 
1.0E8 item 
Reactions
Reactions  Rate  Parameters 

x =>  compartment*c*x  c = 0.01 
z =>  compartment*c*z  c = 0.01 
=> y; x, z  compartment*A/(1+B*(x+y+z))*(x+y+epsilon)/(x+y+epsilon+G*z)*y  epsilon = 1.0; A = 0.45; B = 2.2E8; G = 2.0 
=> z; x, y  compartment*a/(1+b*(x+y+z))*(1h*(x+y)/(z+epsilon+h*(x+y)))*z  epsilon = 1.0; b = 2.2E8; h = 2.0; a = 0.23 
y =>  compartment*C*y  C = 0.01 
=> x; y, z  compartment*a/(1+b*(x+y+z))*(x+y+epsilon)/(x+y+epsilon+g*z)*x  epsilon = 1.0; b = 2.2E8; a = 0.23; g = 2.0 
Curator's comment:
(added: 19 Aug 2019, 16:21:47, updated: 19 Aug 2019, 16:21:47)
(added: 19 Aug 2019, 16:21:47, updated: 19 Aug 2019, 16:21:47)
Reproduced plot of Figure 1B in the original publication. Parameters and initial conditions are as indicated in the text and figure caption, respectively.
Model simulated and plot produced using COPASI 4.24 (Build 197).