Tags: cancer

All Categories (1-14 of 14)

  1. 1-102C-S-CancerGrowth

    19 Jan 2022 | | Contributor(s):: Jennie D'Ambroise

    This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including exponential, power law, Bertalanffy, logistic, and Gompertz. Students solve first-order differential...

  2. 1-150-S-CancerTherapy

    03 Aug 2021 | | Contributor(s):: Maila Hallare, Iordanka Panayotova

    This activity builds upon elementary models on population growth. In particular, we compare two different treatment models of cancer therapy where in one, surgery happens before therapy and in the other, surgery happens after therapy.Activities will help students appreciate the importance of...

  3. SIMIODE EXPO 2021 - (M-R3) - Case Study: A Model of Immunotherapy in Prostate Cancer

    28 Feb 2021 | | Contributor(s):: Becky Sanft, Anne Walter

    SIMIODE EXPO 2021 - (M-R3) - Case Study: A Model of Immunotherapy in Prostate Cancer Adventures in Co-Teaching a Data-Driven Modeling CourseBecky Sanft, University of North Carolina, Ashville NC USA and Anne Walter, St. Olaf College, Northfield MN USA    This was a...

  4. 2018-Tatro, Dyjuan - The Mathematics of Cancer: Fitting the Gompertz Equation to Tumor Growth. Senior Project.

    01 Apr 2020 | | Contributor(s):: Brian Winkel

    Tatro, 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 pages.Abstract: Mathematical models are finding increased use in biology, and...

  5. 2016-Wilkie, Kathleen P., Philip Hahnfeldt, and Lynn Hlatky - Using Ordinary Differential Equations to Explore Cancer-Immune Dynamics and Tumor Dormancy. Preprint.

    20 Mar 2020 | | Contributor(s):: Brian Winkel

    Wilkie, Kathleen P., Philip Hahnfeldt, and Lynn Hlatky. 2016. Using Ordinary Differential Equations to Explore Cancer-Immune Dynamics and Tumor Dormancy. Preprint. 3 pp.See https://www.biorxiv.org/content/10.1101/049874v1. Abstract: Cancer is not solely a disease...

  6. 2015-Khan, Moharram A., Sirazul Haq, Umaru Musa, and Aligarh Muslim - How differential equations influence the tumor growth via mathematical models.

    12 Mar 2020 | | Contributor(s):: Brian Winkel

    Khan, Moharram A., Sirazul Haq, Umaru Musa, and Aligarh Muslim. 2015.  How differential equations influence the tumor growth via mathematical models.  Mathematical Theory and Modeling. 5(8):...

  7. Mathematics + Cancer: An Undergraduate Bridge Course in Applied Mathematics

    27 Feb 2020 | Posted by Brian Winkel

    We take this opportunity (every opportunity actually!) to share with you this remarkable article in SIAM Review. We suggest you get a copy and let it flow over you with wonderful ideas for modeling...

    https://www.simiode.org/blog/2020/02/mathematics--cancer-an-undergraduate-bridge-course-in-applied-mathematics

  8. 2020-Stepien, Kostelich, Kuang - Mathematics + Cancer: An Undergraduate Bridge Course in Applied Mathematics. SIAM Review.

    27 Feb 2020 | | Contributor(s):: Eric J. Kostelich, Yang Kkuang, Tracy Stepien

    2020 Stepien, Kostelich, Kuang. Mathematics + Cancer: An Undergraduate Bridge Course in Applied Mathematics. SIAM Review. 62(1): 244-263.Reference Source: https://epubs.siam.org/doi/abs/10.1137/18M1191865?mobileUi=0This is an amazing article in support of a unique approach to an...

  9. 1-102-S-CancerGrowth

    29 Jul 2018 | | Contributor(s):: Jue Wang

    This scenario guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including exponential, power law, Bertalanffy, logistic, and Gompertz. They examine the behaviors of the...

  10. 1999-Deuflhard, Peter - Differential Equations in Technology and Medicine. Computational Concepts, Adaptive Algorithms, and Virtual Labs. Notes.

    28 Nov 2017 | | Contributor(s):: Brian Winkel

    Deuflhard, Peter. 1999. Differential Equations in Technology and Medicine. Computational Concepts, Adaptive Algorithms, and Virtual Labs. CIME Lectures. Preprint SC 99-34. (September 1999). Notes:  66 pp.Abstract: This series of lectures has been given to a class of mathematics...

  11. 2015-Enderling, Heiko - Integrating experimental data to calibrate quantitative cancer models. preprint.

    23 Sep 2017 | | Contributor(s):: Brian Winkel

    Enderling, Heiko. 2015. Integrating experimental data to calibrate quantitative cancer models. Preprint.  3 pp.See https://www.biorxiv.org/content/10.1101/032102v1.Abstract:  For quantitative cancer models to be meaningful and interpretable the number of unknown parameters...

  12. 2011-Barbarossa, Maria.. 2011. Delay models for cancer and tumor growth. PowerPoint Slides.

    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     ...

  13. 2012-Koch, Gilbert - Modeling of Pharmacokinetic and Pharmacodynamics of Cancer and Arthritis. PhD Dissertation.

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Koch, Gilbert. 2012. Modeling of Pharmacokinetic and Pharmacodynamics of Cancer and Arthritis. PhD Dissertation. 118 pp.See http://www.math.uni-konstanz.de/numerik/personen/koch/papers/Diss_Koch_Final.pdf .Abstract: Mathematical modeling of pharmacokinetics / pharmacodynamics (PKPD)...

  14. 2014-Enderling, Heiko and Mark Chaplain - Mathematical Modeling of Tumor Growth and Treatment.

    05 Sep 2017 | | Contributor(s):: Brian Winkel

    Enderling, Heiko and Mark Chaplain. 2014. Mathematical Modeling of Tumor Growth and Treatment. Current Pharmacological Design. 20(00): 1-7.See https://pubmed.ncbi.nlm.nih.gov/24283955/. Abstract: Using mathematical models to simulate dynamic biological processes has a long...