Tags: immune

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  1. 2021-Sanft, Rebecca, and Anne Walter - Exploring Mathematical Modeling in Biology Through Case Studies and Experimental Activities

    20 Jan 2021 | | Contributor(s):: Rebecca Sanft, Anne Walter

    Exploring Mathematical Modeling in Biology Through Case Studies and Experimental Activities, written collaboratively by a mathematician and biologist, provides supporting materials for a course taken simultaneously by students majoring in the mathematical sciences and those in the life sciences....

  2. 2016-Bonin, Carla Rezende Barbosa, Guilherme Cortes Fernandes,  Rodrigo Weber dos Santos, and Marcelo Loboscoa - Mathematical modeling based on ordinary differential equations: A promising approach to vaccinology.

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

    Bonin, Carla Rezende Barbosa, Guilherme Cortes Fernandes,  Rodrigo Weber dos Santos, and Marcelo Loboscoa. 2016. Mathematical modeling based on ordinary differential equations: A promising approach to vaccinology.  Hum Vaccin Immunother. 13(2):...

  3. 2011-Yafia, Radouane - A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System.

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

    Yafia, Radouane. 2011. A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System.  International Journal of Biomathematics. 4(2):  185-206.See https://www.worldscientific.com/doi/10.1142/S1793524511001404 .Abstract: In this paper, we...

  4. 2012-Greer, Meredith L.  and Karen A. Palin - Students in Differential Equations and Epidemiology Model a Campus Outbreak of pH1N1.

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

    Greer, Meredith L.  and Karen A. Palin. 2012. Students in Differential Equations and Epidemiology Model a Campus Outbreak of pH1N1. Journal of Microbiology and Biology Education. December: 183-185.See https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3577334/ .INTRODUCTIONWe...

  5. 2013-Rihan, Fathalla A. - Delay Differential Equations in Biosciences: Parameter estimation and sensitivity analysis

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

    Rihan, Fathalla A. 2013. Delay Differential Equations in Biosciences: Parameter estimation and sensitivity analysis. Proceedings of the 2013 International Conference on Applied Mathematics and Computational Methods.  pp....

  6. 2011-Mandal, Sandip , Ram Rup Sarkar and Somdatta Sinha - Mathematical models of malaria - a review.

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

    Mandal, Sandip , Ram Rup Sarkar and Somdatta Sinha. 2011. Mathematical models of malaria - a review. Malaria Journal. 10:1-19.See https://pubmed.ncbi.nlm.nih.gov/21777413/ .Abstract: Mathematical models have been used to provide an explicit framework for understanding malaria...

  7. 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...

  8. 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):...

  9. 2017-Bonin, Carla Rezende Barbosa;  Guilherme Cortes Fernandes; Rodrigo Weber Dos Santos; and  Marcelo Lobosco - Mathematical modeling based on ordinary differential equations: A promising approach to vaccinology.

    09 Dec 2018 | | Contributor(s):: Brian Winkel

    Bonin, Carla Rezende Barbosa;  Guilherme Cortes Fernandes; Rodrigo Weber Dos Santos; and  Marcelo Lobosco.  2017. Mathematical modeling based on ordinary differential equations: A promising approach to vaccinology. Human Vaccines and Immunotherapy. 13(2):...

  10. 2017-Adler, Fred - Mathematically Modeling Asthma. Blog Posting.

    09 Oct 2017 | | Contributor(s):: Brian Winkel

    Adler, Fred. 2017 Mathematically Modeling Asthma. Blog Posting.  3 pp.See https://sinews.siam.org/Details-Page/mathematically-modeling-asthma . Accessed 9 October 2017.From the article, “Asthma—like diabetes, heart disease, and cancer—does not have a single...

  11. 2002-de Pillis, L. G. and A. E. Radunskaya - Parameter Estimation for Tumor-Immune ODE System. Slides.

    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. See https://pages.pomona.edu/~aer04747/TumorModule/parameter_estimation.pdf . This is a very thorough and complete introduction to estimating parameters for a simple differential...

  12. 2006-Loyd, Alun L. and Dominik Wodarz - Drug Resistance in Acute Viral Infections:  Rhinovirus as a Case Study.

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

    Loyd, Alun L. and Dominik Wodarz.  2006. Drug Resistance in Acute Viral Infections:  Rhinovirus as a Case Study.  Preprint. 21 pp.See http://www4.ncsu.edu/~allloyd/pdf_files/resistance_preprint.pdf . Accessed 18 September 2017.Abstract:  The emergence and spread...