Nave2018 - prostate cancer model

  public model
Short description
This model is based on paper: Combination of singularly perturbed vector field method and method of directly defining the inverse mapping applied to complex ODE system prostate cancer model Author: Ophir Nave, Miriam Elbaz Abstract: We propose a new method to solve a system of complex ordinary differential equations (ODEs) with hidden hierarchy. Given a complex system of the ODE, the hierarchy of the system is generally hidden. Once we reveal the hierarchy of the system, the system can be reduced into subsystems called slow and fast subsystems. This division of slow and fast subsystems reduces the analysis and hence reduces the computation time, which can be expensive. In our new method, we first apply the singularly perturbed vector field method that is the global quasi-linearization method. This method exposes the hierarchy of a given complex system. Subsequently, we apply a version of the homotopy analysis method called the method of directly defining the inverse mapping. We applied our new method to the immunotherapy of advanced prostate cancer.
Format
SBML (L2V4)
Related Publication
  • Combination of singularly perturbed vector field method and method of directly defining the inverse mapping applied to complex ODE system prostate cancer model.
  • Nave O, Elbaz M
  • Journal of biological dynamics , 12/ 2018 , Volume 12 , Issue 1 , pages: 983-1008
  • a Department of Mathematics , Jerusalem College of Technology (JCT) , Yerushalayim , Israel.
  • We propose a new method to solve a system of complex ordinary differential equations (ODEs) with hidden hierarchy. Given a complex system of the ODE, the hierarchy of the system is generally hidden. Once we reveal the hierarchy of the system, the system can be reduced into subsystems called slow and fast subsystems. This division of slow and fast subsystems reduces the analysis and hence reduces the computation time, which can be expensive. In our new method, we first apply the singularly perturbed vector field method that is the global quasi-linearization method. This method exposes the hierarchy of a given complex system. Subsequently, we apply a version of the homotopy analysis method called the method of directly defining the inverse mapping. We applied our new method to the immunotherapy of advanced prostate cancer.
Contributors
Szeyi Ng

Metadata information

isDescribedBy
PubMed 30384811
hasProperty
Experimental Factor Ontology cancer
Mathematical Modelling Ontology Ordinary differential equation model
NCIt Immunotherapy
NCIt Malignant Prostate Neoplasm

Curation status
Non-curated


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Model files

Nave2018 - prostate cancer model.xml SBML L2V4 file for the model 52.71 KB Preview | Download

Additional files

curator comment Curator comment 266.00 bytes Preview | Download
Nave2018 - prostate cancer model.cps COPASI 4.24 (Build 197) file for the model 93.77 KB Preview | Download

  • Model originally submitted by : Szeyi Ng
  • Submitted: 03-Oct-2019 11:38:34
  • Last Modified: 03-Oct-2019 11:38:34
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  • Version: 2 public model Download this version
    • Submitted on: 03-Oct-2019 11:38:34
    • Submitted by: Szeyi Ng
    • With comment: Edited model metadata online.
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