04 Apr 2020 | Contributor(s):: Brian Winkel
2011-Yafia-DEModelingMalignantTumorCellsInCompetitionWithImmuneSystemYAFIA, RADOUANE. 2011. A STUDY OF DIFFERENTIAL EQUATION MODELING MALIGNANT TUMOR CELLS IN COMPETITION WITH IMMUNE SYSTEM. International Journal of Biomathematics. 4(2): 185-206Abstract: In this...
2018-Tatro-The Mathematics of Cancer_ Fitting the Gompertz Equation to Tumor
01 Apr 2020 | Contributor(s):: Brian Winkel
2018-Tatro-The Mathematics of Cancer_ Fitting the Gompertz Equation to TumorTatro, Dyjuan. 2018. The Mathematics of Cancer: Fitting the Gompertz Equation to Tumor Growth. Bard CollegeBard Digital Commons. Senior Projects Spring 2018 Bard Undergraduate Senior Projects. 23...
2016-WilkieEtAl-Using ODEs to Model Cancer
20 Mar 2020 | Contributor(s):: Brian Winkel
2016-WilkieEtAl-Using ODEs to Model CancerWilkie, Kathleen P.,Philip Hahnfeldt, and Lynn Hlatky. 2016. Using Ordinary Differential Equations to Explore Cancer-Immune Dynamics and Tumor Dormancy. Preprint. 3 pp.Abstract: Cancer is not solely a disease of the genome, but is...
12 Mar 2020 | Contributor(s):: Brian Winkel
2015. Khan1, Moharram A., Sirazul Haq, Umaru Musa, and Aligarh Muslim How differential equations influence the tumor growth via mathematical models. Mathematical Theory and Modeling. 5(8): 187-194.Abstract: This work demonstrates the importance of differential equations to develop...
01 Mar 2018 | Contributor(s):: Hans Rudolf Schneebeli, Claudio Marsan
This paper offers many problems inolving a single population model while introducing several specific models. Both numerical methods and qualitative anlyses are offered.The paper is in German and is entitled, "Populationsmodelle: Eine Einführung in Differentialgleichungen."Hans R....
28 Nov 2017 | Contributor(s):: Brian Winkel
Domingues, José Sérgio. 2012. Gompertz Model: Resolution and Analysis for Tumors. Journal of Mathematical Modelling and Application. 1(7): 70-77.Abstract: It is called cancer a wide range of diseases that has in common an unusual cells proliferation of the organism...
2015-Enderling-Integrating experimental data to calibrate quantitative cancer models
23 Sep 2017 | Contributor(s):: Brian Winkel
Enderling, Heiko. 2015. Integrating experimental data to calibrate quantitative cancer models . Preprint. 3 pp.Abstract: For quantitative cancer models to be meaningful and interpretable the number of unknown parameters must be kept minimal. Experimental data can be utilized to...
2002-dePills-Radunskaya-Parameter Estimation for Tumor-Immune ODE
21 Sep 2017 | Contributor(s):: Brian Winkel
de Pillis, L. G. and A. E. Radunskaya. 2002. Parameter Estimation for Tumor-Immune ODE System, 24 slides.This is a very thorough and complete introduction to estimating parameters for a simple differential equation model with attention to all the mathematical details necessary for success in...
2011-Barbarossa-Delay models for cancer and tumor growth
10 Sep 2017 | Contributor(s):: Brian Winkel
Barbarossa, Maria.. 2011. Delay models for cancer and tumor growth. PowerPoint. 81 slides.From the slides:Background: Delay Equations Ordinary vs. Delay Differential Equations Applications in Biology Stability Analysis for...
08 Sep 2017 | Contributor(s):: Brian Winkel
Gustafson, G. B. Science and Engineering ApplicationsSection 2.8. http://www.math.utah.edu/~gustafso/2250SciEngApplications.pdf . Accessed 8 September 2017.This material is from a wealth of other material authored by Grant B. Gustafson in the Mathematics Department at the University of...