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Potential Scenario
172
views
56
downloads
0
comments
2016-Wilkie-EtAl-Using ODEs to Explore Cancer-Immune Dynamics and Tumor Dormancy
Here we present a general method using ordinary differential equations (ODEs) to model and analyze cancer-immune interactions, and in particular, immune-induced tumor dormancy.
cancer
tumor-inhibiting cytotoxic action
tumor-promoting inflammation
immune-induced tumor dormancy
tumor growth dynamics
Potential Scenario
161
views
63
downloads
0
comments
2018-Dyjuan_Tatro-The_Mathematics_of_Cancer-Fitting_Gompertz_Equation_to_Tumor_Growth
Fitting the Gompertz Model to long term breast cancer study data, this project ascertains gompertzian parameters that can be used to predicts tumor growth as a function of time.
tumor
growth
Gompertz
fitting
parameter
Potential Scenario
210
views
93
downloads
0
comments
2014-Enderling-Chaplain-Mathematical Modeling of Tumor Growth and Treatment
Herein we describe fundamentals of mathematical modeling of tumor growth and tumor-host interactions, and summarize some of the seminal and most prominent approaches.
cancer
tumor modeling
angiogenesis
tumor growth
patient care
Potential Scenario
146
views
40
downloads
0
comments
2012-José_Sérgio_Domingues-Gompertz Model - Resolution and Analysis for Tumors
The main objective of this paper is to use the Gompertz equation in order to study the development of blood irrigated solid tumors, using parameters defined in some important bibliographic references about the mathematical modelling of tumors.
tumor
Gompertz equation
growth tumor
Potential Scenario
133
views
68
downloads
0
comments
2015-Beier-EtAl-Building Context with Tumor Growth Modeling Projects in Differential Equations
Here we present two projects related to tumor growth appropriate for a first course in differential equations. They illustrate the use of problem-based learning to reinforce and extend course content via a writing or research experience.
tummor growth
research experience
Potential Scenario
141
views
79
downloads
0
comments
2015-Khan-EtAl-How differential equations influence the tumor growth via mathematical models
This work demonstrates the importance of differential equations to develop mathematical model of tumor growth.
tumor
cancder
cancerous cells
immunotherapy
malignant
Potential Scenario
156
views
88
downloads
0
comments
2015-Heiko_Enderling-Integrating experimental data to calibrate quantitative cancer models
For quantitative cancer models to be meaningful and interpretable the number of unknown parameters must be kept minimal. We focus on a tumor hierarchy of cancer stem and progenitor non-stem cancer cells.
cancer
tumor
fitting
agent-based
Modeling Scenario
224
views
259
downloads
0
comments
6-029-TumorGrowth-ModelingScenario
This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of tumor growth over time.
Pop_Growth Pilot
logistic
comparment
tumor
synthetic data
sum of squares error
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