Greene2019 - Differentiate Spontaneous and Induced Evolution to Drug Resistance During Cancer Treatment

  public model
Model Identifier
BIOMD0000000825
Short description
This model is built by COPASI 4.24(Build 197), based on paper: Mathematical Approach to Differentiate Spontaneous and Induced Evolution to Drug Resistance During Cancer Treatment. Author: James M. Greene, Jana L. Gevertz, Eduardo D. sontag Abstract: PURPOSE:Drug resistance is a major impediment to the success of cancer treatment. Resistance is typically thought to arise from random genetic mutations, after which mutated cells expand via Darwinian selection. However, recent experimental evidence suggests that progression to drug resistance need not occur randomly, but instead may be induced by the treatment itself via either genetic changes or epigenetic alterations. This relatively novel notion of resistance complicates the already challenging task of designing effective treatment protocols. MATERIALS AND METHODS:To better understand resistance, we have developed a mathematical modeling framework that incorporates both spontaneous and drug-induced resistance. RESULTS:Our model demonstrates that the ability of a drug to induce resistance can result in qualitatively different responses to the same drug dose and delivery schedule. We have also proven that the induction parameter in our model is theoretically identifiable and propose an in vitro protocol that could be used to determine a treatment's propensity to induce resistance.
Format
SBML (L3V1)
Related Publication
  • Mathematical Approach to Differentiate Spontaneous and Induced Evolution to Drug Resistance During Cancer Treatment.
  • Greene JM, Gevertz JL, Sontag ED
  • JCO clinical cancer informatics , 4/ 2019 , Volume 3 , pages: 1-20 , PubMed ID: 30969799
  • Rutgers University, New Brunswick, NJ.
  • PURPOSE:Drug resistance is a major impediment to the success of cancer treatment. Resistance is typically thought to arise from random genetic mutations, after which mutated cells expand via Darwinian selection. However, recent experimental evidence suggests that progression to drug resistance need not occur randomly, but instead may be induced by the treatment itself via either genetic changes or epigenetic alterations. This relatively novel notion of resistance complicates the already challenging task of designing effective treatment protocols. MATERIALS AND METHODS:To better understand resistance, we have developed a mathematical modeling framework that incorporates both spontaneous and drug-induced resistance. RESULTS:Our model demonstrates that the ability of a drug to induce resistance can result in qualitatively different responses to the same drug dose and delivery schedule. We have also proven that the induction parameter in our model is theoretically identifiable and propose an in vitro protocol that could be used to determine a treatment's propensity to induce resistance.
Contributors
Submitter of the first revision: Szeyi Ng
Submitter of this revision: Szeyi Ng
Modellers: Szeyi Ng

Metadata information

is (2 statements)
BioModels Database MODEL1909260002
BioModels Database BIOMD0000000825

isDescribedBy (1 statement)
PubMed 30969799

hasProperty (4 statements)
Mathematical Modelling Ontology Ordinary differential equation model
Experimental Factor Ontology cancer
NCIt Drug Resistance Process
NCIt Cancer Treatment Trial


Curation status
Curated


Tags

Connected external resources

SBGN view in Newt Editor

Name Description Size Actions

Model files

Greene2019 - Differentiate Spontaneous and Induced Evolution to Drug Resistance During Cancer Treatment.xml SBML L3V1 file for the model 30.48 KB Preview | Download

Additional files

Fig 2B Pulsed.png PNG plot of the model simulation Figure 2B with pulsed value of treatment 21.16 KB Preview | Download
Fig 2B constant.png PNG plot of the model simulation Figure 2B with constant value of treatment 21.24 KB Preview | Download
Fig 2D Constant.png PNG plot of the model simulation Figure 2D with constant value of treatment 21.41 KB Preview | Download
Greene2019 - Differentiate Spontaneous and Induced Evolution to Drug Resistance During Cancer Treatment.cps COPASI 4.24 (Build 197) file for the model for constant treatment and drug resistance parameter alpha=0.01 47.62 KB Preview | Download
Greene2019 - Differentiate Spontaneous and Induced Evolution to Drug Resistance During Cancer Treatment.sedml Sedml L1V2 file producing figure 2 2.47 KB Preview | Download
Treatment Pulsed 2A.png PNG plot of the model simulation Figure 2A showing the pulsed treatment 21.10 KB Preview | Download

  • Model originally submitted by : Szeyi Ng
  • Submitted: Sep 26, 2019 12:16:21 PM
  • Last Modified: Sep 26, 2019 12:16:21 PM
Revisions
  • Version: 4 public model Download this version
    • Submitted on: Sep 26, 2019 12:16:21 PM
    • Submitted by: Szeyi Ng
    • With comment: Automatically added model identifier BIOMD0000000825
Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
Resistant tumor R

resistant to ; cancer
0.0 mmol
Sensitive tumor S

cancer ; 0000516
0.01 mmol
Tumor Volume V

cancer ; tumor size ; Tumor Size
0.01 mmol
Reactions
Reactions Rate Parameters
=> Resistant_tumor_R; Sensitive_tumor_S compartment*p_r*(1-(Sensitive_tumor_S+Resistant_tumor_R))*Resistant_tumor_R p_r = 0.2
=> Sensitive_tumor_S; Resistant_tumor_R compartment*(1-(Sensitive_tumor_S+Resistant_tumor_R))*Sensitive_tumor_S []
Sensitive_tumor_S => Resistant_tumor_R compartment*(epsilon+alpha*u)*Sensitive_tumor_S alpha = 0.01; epsilon = 1.0E-6; u = 0.0
Sensitive_tumor_S => compartment*d*u*Sensitive_tumor_S d = 1.0; u = 0.0
Tumor_Volume_V = Resistant_tumor_R+Sensitive_tumor_S [] []
Curator's comment:
(added: 26 Sep 2019, 12:15:50, updated: 26 Sep 2019, 12:15:50)
These files are generated using the uploaded COPASI file. Left upper: Pulsed treatment in Fig 2A. Set the drug time between 2.4-3.4, 6.4-7.4, 10.4-11.4 Right upper: Tumor Volume in Fig 2B receiving pulsed treatment. Alpha=0 Left bottom: Tumor Volume in Fig 2B receiving constant treatment. Alpha=0 Right bottom: Tumor Volume in Fig 2D receiving constant treatment. Alpha=0.01 The attached files have the data to produce right bottom figure. Time for 2A,2B: 90 Time for 2D: 45