Tags: models

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  1. 1-003-S-Text-IntroNumericalMethods

    10 Jan 2019 | | Contributor(s):: Brian Winkel

    We ask students to develop two numerical methods for solving first order differential equations  geometrically and to compute numeric solutions and compare them to the analytic solutions for a number of different step sizes. 

  2. 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...

  3. Sousa - mathispower4u Differential Equations Videos

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

    Sousa, James. mathispower4u Differential Equations Videos.http://www.mathispower4u.com/diff-eq.php . Accessed 10 September 2017. Here is a list of just the Introduction to Differential Equations videosIntroduction to Differential Equation TerminologyDifferential Equations:  Find the...

  4. Chapter Nine – Mathematical Models with Differential Equations.

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

    Chapter Nine – Mathematical Models with Differential Equations. From unknown text. pp. 582-622. http://higheredbcs.wiley.com/legacy/college/anton/0470183454/add_materials/mathematical_modeling_with_diff_equations.pdfThis is a rich chapter from unknown text with rich text and...

  5. Katul-ENV264 - Applied DE in Env Sci Models

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

    Katul, Gabriel G. ENV264 Applied Differential Equations in Environmental Sciences. Notes.Many environmental problems require the construction and solution to equations (or systems of equations) that involve relations between rates and states of environmental variables. The objective of this...

  6. 2014-Shafer-Pharmacokinetis Basis Targeted Controlled Infusion

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

    Shafer, Steven. The Pharmacokinetic and  Pharmacodynamic Basis of Target Controlled Infusion. 60 pp. https://web.stanford.edu/~sshafer/LECTURES.DIR/Notes/CCIP.DOC . Accessed on 7 September 2017. From the introduction of the paper, “Pharmacokinetics and pharmacodynamics provide...

  7. 1999-AllenLoveAndDifferentialEquations

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

    Allen, David M. 1999. Love and differential equations:  An Introduction to Modeling. PowerPoint Presentation. 44 slides.This is a set of slides with lots of topics touched upon briefly, but in the end there is an analysis of the Romeo and Juliet relationship.Keywords: differential equation,...

  8. 2013-ClarkeSkiba-Models In Physical Training

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

    Clarke, D. C. and P. F. Skirba. 2013. Rationale and resources for teaching the mathematical modeling of athletic training and performance. Adv Physiol Edu. 37: 134–152.Abstract:  A number of professions rely on exercise prescription to improve health or athletic performance, including...

  9. 2011-Pulley-AnalyzingPredatorPreyModels

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

    Pulley, Lucas C. 2011. Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations.  Southern Illinois Universitiy, Honors Theses. Paper 344.Abstract: The main operating concern of all species in any ecosystem or natural environment is rooted in the battle for...

  10. 2014-AllenEtAl-Perturbations In Epidemiological Models Zombies Attack

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

    Allen, Robert F., Cassandra Jens, and  Theodore J. Wendt. 2014.Perturbations in Epidemiological Models: When zombies attack, we can survive! Letters in Biomathematics. 1(2): 173-180.Abstract: In this paper, we investigate the existence of stability-changing bifurcations in epidemiological...

  11. 2017-Tracy-Lectures On Differential Equation

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

    Tracy, Craig A. 2017. Lectures on Differential Equations.  Notes. 165 pp. https://www.math.ucdavis.edu/~tracy/courses/math22B/22BBook.pdf . Accessed 7 September 2017.The author says,“These notes are for a one-quarter course in differential equations. The approach is to tie the study...

  12. 2015Ryu Engineering Mathematics - Differential Equations

    03 Mar 2017 | | Contributor(s):: Jaeku Ryu

    Ryu, Jaeku. 2015.  ShareTechNote. Engineering Math – Differential Equations. http://www.sharetechnote.com/html/EngMath_DifferentialEquation.html . Accessed on 31 May 2015.This is a remarkable set of rich resources for engineering education and we note the strong conviction of the...

  13. 1991-Watson-Probability Models in a Differential Equations Course

    26 Jun 2015 | | Contributor(s):: Jane M. Watson

    Watson, Jane M. 1991. Building probability models in a differential equations course. International Journal of Mathematical Education in Science and Technology. 22(4): 507-517.Article Abstract: An application is considered of elementary differential equations rarely, if ever, used in first...

  14. 1999Single Modeling with Slime

    25 Jun 2015 | | Contributor(s):: Richard M. Single

    Single, Richard M.. 1999. DIFFERENCE QUOTIENTS, DERIVATIVES, AND DATA THROUGH MODELING WITH SLIME.PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 9(3):  279-288Article Abstract: In  this  article,  I present  an  experiment ...

  15. Ten Equations that Changed Biology

    25 Jun 2015 | | Contributor(s):: John R. Jungck

    Jungck, John R. 1007. Ten Equations that Changed Biology:  Mathematics  in Problem-Solving  Biology Curricula. Bioscene. 23(1): 11-35.The author is a member of the Department of Biology, Beloit College, Beloit,  WI USA.From the introduction, "These equations were...

  16. 2015Nelson Differential Equations and a Poster Project

    25 Jun 2015 | | Contributor(s):: Dawn Nelson

    Nelson, Dawn.Differential Equations and a Poster Project. Department of Mathematics, Bates College, Lewiston ME.  http://abacus.bates.edu/~dnelson/DE_port.pdf. Accessed 22 June 2015.This is a wonderful assignment sheet with all attendant pedagogical and instrutional materials for students...

  17. ODEs Models in Systems Biology

    24 Jun 2015 | | Contributor(s):: Claudio Altafini

    Altafini, Claudio. 2007. ODEs Models in Systems Biology - Lecture 5 & 6. 27 pp. http://people.sissa.it/~altafini/teach/SISSA07/lect07D-prn-2.pdf . Accessed 22 June 2015.This is a set of slides for two lectures given in 2007 and contains materials on elementary reaction kinetics, enzyme...

  18. 2011Zhao Systems Biology - Differential Equations - Survey

    24 Jun 2015 | | Contributor(s):: D. I. Zhao

    Zhao, D. I. 2011. Differential Equation Models for  Systems Biology:  A Survey. Computational Analysis and Modeling, Lousiana Tech University, Ruston LA USA.  30 pp. http://www.advancedcomputing.cn/sys_bio_review.pdf . Accessed 22 June 2015.Abstract:  In this paper, we will...

  19. 2015 BioModels Database

    20 Jun 2015 |

    Article Review and AnnotationBioModels Database. 2015. The European Bioinformatics Institute.  http://www.ebi.ac.uk/biomodels-main/  . Accessed 15 March 2015.“Part of the European Molecular Biology Laboratory at the Wellcome Trust Genome Campus, Hinxton, Cambridgeshire, CB10 1SD,...

  20. 2008FoglerGurmen Elements of Chemical Reaction Engineering

    20 Jun 2015 | | Contributor(s):: H. Scott Fogler, M. Nihat Gurmen

    Fogler, H. Scott and M. Nihat Gurmen. 2008. Elements of Chemical Reaction Engineering:  Strategies for Creative Problem Solving. http://www.umich.edu/~elements/07chap/html/07prof5.htm. Accessed 12 March 2015.This is a website with lots of modeling information, exercises, and lessons. The...