Tags: tumor

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  1. 2011-Yafia-DEModelingMalignantTumorCellsInCompetitionWithImmuneSystem

    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...

  2. 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...

  3. 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...

  4. 2015-KahnEtAL-DifferentialEquationsTumorGrowth

    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...

  5. Population Modeling

    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....

  6. 2012-Dominguez-GomperzModel-AnalytisForTumors

    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...

  7. 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...

  8. 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...

  9. 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...

  10. Gustafson-2250 EngineeringMathematicsApplications

    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...

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