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

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
Submitter of this revision: Szeyi Ng
Modellers: Szeyi Ng
Metadata information
is (2 statements)
isDescribedBy (1 statement)
hasProperty (4 statements)
isDescribedBy (1 statement)
hasProperty (4 statements)
Mathematical Modelling Ontology
Ordinary differential equation model
Experimental Factor Ontology cancer
NCIt Drug Resistance Process
NCIt Cancer Treatment Trial
Experimental Factor Ontology cancer
NCIt Drug Resistance Process
NCIt Cancer Treatment Trial
Curation status
Curated
Modelling approach(es)
Tags
Connected external resources
Name | Description | Size | Actions |
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Model files |
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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 |
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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
Legends
: Variable used inside SBML models
: 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)
(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