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Different ODE models of tumor growth can deliver similar results
by
Koziol, James A.
, Falls, Theresa J.
, Schnitzer, Jan E.
in
Algorithms
/ Analysis
/ Animals
/ Apoptosis
/ Biomedical and Life Sciences
/ Biomedicine
/ Breast cancer
/ Cancer
/ Cancer chemotherapy
/ Cancer Research
/ Delay differential equations
/ Differential equations
/ Drug development
/ Experimental therapeutics and drug development
/ Experiments
/ Female
/ Health aspects
/ Health Promotion and Disease Prevention
/ Laboratory animals
/ Lyric poetry
/ Mammary Neoplasms, Experimental - pathology
/ Mathematical model
/ Mathematical models
/ Medicine/Public Health
/ Mice
/ Models, Biological
/ Odes
/ Oncology
/ Ordinary differential equations
/ Parameter estimation
/ Surgical Oncology
/ Technical Advance
/ Tumor growth
/ Tumors
2020
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Different ODE models of tumor growth can deliver similar results
by
Koziol, James A.
, Falls, Theresa J.
, Schnitzer, Jan E.
in
Algorithms
/ Analysis
/ Animals
/ Apoptosis
/ Biomedical and Life Sciences
/ Biomedicine
/ Breast cancer
/ Cancer
/ Cancer chemotherapy
/ Cancer Research
/ Delay differential equations
/ Differential equations
/ Drug development
/ Experimental therapeutics and drug development
/ Experiments
/ Female
/ Health aspects
/ Health Promotion and Disease Prevention
/ Laboratory animals
/ Lyric poetry
/ Mammary Neoplasms, Experimental - pathology
/ Mathematical model
/ Mathematical models
/ Medicine/Public Health
/ Mice
/ Models, Biological
/ Odes
/ Oncology
/ Ordinary differential equations
/ Parameter estimation
/ Surgical Oncology
/ Technical Advance
/ Tumor growth
/ Tumors
2020
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Do you wish to request the book?
Different ODE models of tumor growth can deliver similar results
by
Koziol, James A.
, Falls, Theresa J.
, Schnitzer, Jan E.
in
Algorithms
/ Analysis
/ Animals
/ Apoptosis
/ Biomedical and Life Sciences
/ Biomedicine
/ Breast cancer
/ Cancer
/ Cancer chemotherapy
/ Cancer Research
/ Delay differential equations
/ Differential equations
/ Drug development
/ Experimental therapeutics and drug development
/ Experiments
/ Female
/ Health aspects
/ Health Promotion and Disease Prevention
/ Laboratory animals
/ Lyric poetry
/ Mammary Neoplasms, Experimental - pathology
/ Mathematical model
/ Mathematical models
/ Medicine/Public Health
/ Mice
/ Models, Biological
/ Odes
/ Oncology
/ Ordinary differential equations
/ Parameter estimation
/ Surgical Oncology
/ Technical Advance
/ Tumor growth
/ Tumors
2020
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Different ODE models of tumor growth can deliver similar results
Journal Article
Different ODE models of tumor growth can deliver similar results
2020
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Overview
Background
Simeoni and colleagues introduced a compartmental model for tumor growth that has proved quite successful in modeling experimental therapeutic regimens in oncology. The model is based on a system of ordinary differential equations (ODEs), and accommodates a lag in therapeutic action through delay compartments. There is some ambiguity in the appropriate number of delay compartments, which we examine in this note.
Methods
We devised an explicit delay differential equation model that reflects the main features of the Simeoni ODE model. We evaluated the original Simeoni model and this adaptation with a sample data set of mammary tumor growth in the FVB/N-Tg(MMTVneu)202Mul/J mouse model.
Results
The experimental data evinced tumor growth heterogeneity and inter-individual diversity in response, which could be accommodated statistically through mixed models. We found little difference in goodness of fit between the original Simeoni model and the delay differential equation model relative to the sample data set.
Conclusions
One should exercise caution if asserting a particular mathematical model uniquely characterizes tumor growth curve data. The Simeoni ODE model of tumor growth is not unique in that alternative models can provide equivalent representations of tumor growth.
Publisher
BioMed Central,BioMed Central Ltd,Springer Nature B.V,BMC
Subject
/ Analysis
/ Animals
/ Biomedical and Life Sciences
/ Cancer
/ Delay differential equations
/ Experimental therapeutics and drug development
/ Female
/ Health Promotion and Disease Prevention
/ Mammary Neoplasms, Experimental - pathology
/ Mice
/ Odes
/ Oncology
/ Ordinary differential equations
/ Tumors
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