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  1. 6-003-S-SchoolFluEpidemic

    28 Aug 2018 | | Contributor(s):: Darrell Weldon Pepper

    We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.

  2. 1-118-S-SolowEconomicGrowth

    22 Aug 2018 | | Contributor(s):: Yuri Yatsenko

  3. 1-081-S-TumorGrowth

    09 Jun 2018 | | Contributor(s):: Ryan Miller, Randy Boucher

    Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth. Students use technology to solve the Gompertz model and answer a series of questions...

  4. 6-018-S-ExploringSIRModel

    30 May 2018 | | Contributor(s):: Stanley Florkowski, Ryan Miller

    Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to understand, to apply, and to develop SIR models. Part one focuses on understanding and interpreting...

  5. 2017-Allali-MathModelingOfAdaptiveImmunieResponses-HBVInfection

    07 Mar 2018 | | Contributor(s):: Karam Allali, Adil Meskaf, Abdessamad Tridane

    Karam Allali, Adil Meskaf, and Abdessamad Tridane. 2018. Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection. International Journal of Differential Equations. Volume 2017, Article ID 6710575, 13 pagesThis is an open access article distributed under the...

  6. LeakingBucket: Differential Equations in Engineering

    03 Mar 2018 | | Contributor(s):: Unknown

    Differential Equations in Engineering: The Leaking Bucket. Laboratory Experiment. 4 pp.From the Text:7.1 Laboratory ObjectiveThe objective of this laboratory is to learn about first order differential equations and theirapplication to a leaking bucket. 7.2 Educational ObjectivesAfter...

  7. 2015-Sivakumar-Rajendran-KineticModel-BananaWaste

    03 Mar 2018 | | Contributor(s):: Pavithra Sivakumar, Lakshmanan Rajendran

    Sivakumar, Pavithra and  Lakshmanan Rajendran. 2012.  Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste. Applied Mathematics. 5(1): 7-14.Abstract: The initial value problem in a kinetic model for biogas generation from...

  8. 2011-Gaff EtAl-OptimalControlManagementTickBorneDisease

    03 Mar 2018 | | Contributor(s):: Holly D. Gaff

    Gaff, Holly D., Elsa Schaefer, and Suzanne Lenhart. 2011. Use of optimal control models to predict treatment time for managing tick-borne disease. Journal of Biological Dynamics. 5(5): 517-530Abstract:  Tick-borne diseases have been on the rise recently, and correspondingly, there is an...

  9. 2009-Das EtAl BioeconomicHarvesting-JBioDynamics

    03 Mar 2018 | | Contributor(s):: Tapasi Das

    Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur. 2009. Bioeconomic harvesting of a pre-predator fishery. Journal of Biological Dynamics. 3(5): 447-462.Abstract: This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate...

  10. 2008-HuangLi-ModelingLongTermLongitudinalHIVDynamics

    01 Dec 2017 | | Contributor(s):: Brian Winkel

    Huangi, Y. and T. Lu. 2008. Modeling long-term longitudinal HIV dynamics with applications to an AIDS clinical study.  The Annals of Applied Sciences.  2(4): 1384-1408.Abstract:  A virologic marker, the number of HIV RNA copies or viral load, is currently used to evaluate...

  11. 2016-BanksEtAl-ModelingBumbleBeePopDynamicsWithDelayDifferentialEquations

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

    Banks,  H.T., J.E. Banks, Riccardo Bommarco, Maj Rundlof, and Kristen Tillman. 2016. Modeling Bumble Bee  Center for Research in Scientific Computation, North Carolina State University Raleigh, NC USA Abstract: Bumble bees are ubiquitous creatures and crucial pollinators to a vast...

  12. 2007-ZenkerEtAl-InverseProblemsInMathPhysiology

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

    Zenker S, J. Rubin, and G. Clermont. 2007. From inverse problems in mathematical physiology to quantitative differential diagnoses. PLoS Comput Biol.  3(11): e204.Abstract: The improved capacity to acquire quantitative data in a clinical setting has generally failed to improve outcomes in...

  13. WangEtAl-Estimating Mixed-Effects Differential Equation Models

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

    Wang, L., J. Cao 1 , J. O. Ramsay, D. M. Burger , C. J. L. Laporte, and J. K. Rockstroh. Estimating Mixed-Effects Differential Equation Models. Paper. 30 pp. Abstract: Ordinary differential equations (ODEs) are popular tools for modeling complicated dynamic systems in many areas. When multiple...

  14. 2006-LoydWodarz Drug Resistance in Acute Viral Infections

    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. http://www4.ncsu.edu/~allloyd/pdf_files/resistance_preprint.pdf . Accessed 18 September 2017.Abstract:  The emergence and spread of drug...

  15. 2014-DoEtAl-Differential Equation Model for the Dynamics of Youth Gambling

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

     Do, Tae Sug and Young S. Lee.  2014. A Differential Equation Model for the Dynamics of Youth Gambling. Osong Public Health Res Perspect. 2014 Aug; 5(4): 233–241.https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4215004/ . Accessed 11 September 2017.Objectives: We examine the dynamics...

  16. 2010-KeesomEtAl-Fishing for answers - investigationg sustainable harvesting rate models

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

    Keesom, No’am , Trisha Macrae, Anjuli Uhlig, and Richard Wang. 2010.  Fishing for Answers: Investigating Sustainable Harvesting Rate. Paper 11 pp.Abstract:  The purpose of this report is to determine and propose a model by which an optimal harvesting frequency can be determined...

  17. 2011-NguyenShi-Modeling the absorption, circulation, and metabolism of tirapazamine

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

    Nguyen, Olivia  and Xiaoyu Shi. 2011. Modeling the absorption, circulation, and metabolism of tirapazamine. http://www.isn.ucsd.edu/courses/beng221/problems/2011/project02.pdf  . Accessed 10 Sept 2017.This apparently is a student project and it develops the kinetic model, uses Matlab...

  18. 2007-Chern-Mathematial Modeling and Differential Equations

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

    2007-Chern-Mathematial Modeling and Differential EquationsChern, I-Liang. 2007. Mathematial Modeling and Differential Equations. Notes. 223 pp. http://www.math.ntu.edu.tw/~chern/notes/ode2015.pdf . Accessed 10 September 2017.From the first chapter,In science, we explore and understand our real...

  19. 2013-Greer-Modeling Cyanobacteria in Lake Ecosystems

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

    Greer, Meredith L., Holly A. Ewing, Kathryn L. Cottingham, and Kathleen C. Weathers. 2013.  Source: Collaborative Understanding of Cyanobacteria in Lake Ecosystems. The College Mathematics Journal.  44(5): 376-385.Understanding the system is central to mathematical modeling. What...

  20. 2009-SchafferBronnikova-MalariaControl

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

    Schaffer, W. M.  and   T. V. Bronnikova. 2009. Controlling malaria: competition, seasonality and ‘slingshotting’ transgenic mosquitoes into natural populations. Journal of Biological Dynamics. 3(2-3):  286-304. Abstract: Forty years after the World Health...