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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....
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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):...
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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...
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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...
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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....
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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...
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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...
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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):...
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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):...
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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...
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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...
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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...