Chen2011/2 - bone marrow invasion relative model

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Short description
The paper describes a model of tumor invasion to bone marrow. Created by COPASI 4.26 (Build 213) This model is described in the article: Modeling invasion of metastasizing cancer cells to bone marrow utilizing ecological principles Kun-Wan Chen, Kenneth J Pienta Theoretical Biology and Medical Modelling 2011, 8:36 Abstract: Background: The invasion of a new species into an established ecosystem can be directly compared to the steps involved in cancer metastasis. Cancer must grow in a primary site, extravasate and survive in the circulation to then intravasate into target organ (invasive species survival in transport). Cancer cells often lay dormant at their metastatic site for a long period of time (lag period for invasive species) before proliferating (invasive spread). Proliferation in the new site has an impact on the target organ microenvironment (ecological impact) and eventually the human host (biosphere impact). Results: Tilman has described mathematical equations for the competition between invasive species in a structured habitat. These equations were adapted to study the invasion of cancer cells into the bone marrow microenvironment as a structured habitat. A large proportion of solid tumor metastases are bone metastases, known to usurp hematopoietic stem cells (HSC) homing pathways to establish footholds in the bone marrow. This required accounting for the fact that this is the natural home of hematopoietic stem cells and that they already occupy this structured space. The adapted Tilman model of invasion dynamics is especially valuable for modeling the lag period or dormancy of cancer cells. Conclusions: The Tilman equations for modeling the invasion of two species into a defined space have been modified to study the invasion of cancer cells into the bone marrow microenvironment. These modified equations allow a more flexible way to model the space competition between the two cell species. The ability to model initial density, metastatic seeding into the bone marrow and growth once the cells are present, and movement of cells out of the bone marrow niche and apoptosis of cells are all aspects of the adapted equations. These equations are currently being applied to clinical data sets for verification and further refinement of the models. To cite BioModels Database, please use: BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models . 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 (L3V1)
Related Publication
  • Modeling invasion of metastasizing cancer cells to bone marrow utilizing ecological principles.
  • Chen KW, Pienta KJ
  • Theoretical biology & medical modelling , 10/ 2011 , Volume 8 , pages: 36
  • Department of Internal Medicine, The University of Michigan, 7308 CCC, 1500 E, Medical Center Drive, Ann Arbor, MI 48109, USA. kpienta@umich.edu
  • The invasion of a new species into an established ecosystem can be directly compared to the steps involved in cancer metastasis. Cancer must grow in a primary site, extravasate and survive in the circulation to then intravasate into target organ (invasive species survival in transport). Cancer cells often lay dormant at their metastatic site for a long period of time (lag period for invasive species) before proliferating (invasive spread). Proliferation in the new site has an impact on the target organ microenvironment (ecological impact) and eventually the human host (biosphere impact).Tilman has described mathematical equations for the competition between invasive species in a structured habitat. These equations were adapted to study the invasion of cancer cells into the bone marrow microenvironment as a structured habitat. A large proportion of solid tumor metastases are bone metastases, known to usurp hematopoietic stem cells (HSC) homing pathways to establish footholds in the bone marrow. This required accounting for the fact that this is the natural home of hematopoietic stem cells and that they already occupy this structured space. The adapted Tilman model of invasion dynamics is especially valuable for modeling the lag period or dormancy of cancer cells.The Tilman equations for modeling the invasion of two species into a defined space have been modified to study the invasion of cancer cells into the bone marrow microenvironment. These modified equations allow a more flexible way to model the space competition between the two cell species. The ability to model initial density, metastatic seeding into the bone marrow and growth once the cells are present, and movement of cells out of the bone marrow niche and apoptosis of cells are all aspects of the adapted equations. These equations are currently being applied to clinical data sets for verification and further refinement of the models.
Contributors
Jinghao Men

Metadata information

hasTaxon
Taxonomy Homo sapiens
hasProperty
Mathematical Modelling Ontology Ordinary differential equation model
C20625
occursIn
Brenda Tissue Ontology bone marrow
isDescribedBy

Curation status
Curated


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Model files

Chen2011:2.xml SBML L3V1 representation of bone marrow invasion relative superiority model 38.06 KB Preview | Download

Additional files

Chen2011:2.sedml Auto-generated SEDML file 2.12 KB Preview | Download
Chen2011:2.cps CPS file of the model in COPASI 58.76 KB Preview | Download

  • Model originally submitted by : Jinghao Men
  • Submitted: Aug 13, 2019 4:32:51 PM
  • Last Modified: Aug 13, 2019 4:32:51 PM
Revisions
  • Version: 3 public model Download this version
    • Submitted on: Aug 13, 2019 4:32:51 PM
    • Submitted by: Jinghao Men
    • With comment: Automatically added model identifier BIOMD0000000795
Curator's comment:
(added: 13 Aug 2019, 16:32:44, updated: 13 Aug 2019, 16:32:44)
Publication figure 4 reproduced as per literature. Figure data is generated using COPASI 4.26 (build 213).