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  1. 2014-MurilloEtAl-Vertical Transmission In Two Strain Model Of Dengue Fever

    08 Sep 2017

    Murillo, David , Susan A. Holechek, Anarina L. Murillo, Fabio Sanchez, and  Carlos Castillo-Chavez. 2014. Vertical Transmission in a Two-Strain Model of Dengue Fever. Letters in Biomathematics.1(2):  249-271,ABSTRACT: The role of vertical transmission in vectors has rarely been...

  2. 2012-NokkaewEtAl-Estimation Of Algae Growth Mode lParameters Using Genetic Algorithm

    08 Sep 2017

    Nokkaew, A. Et Al. Estimation of Algae Growth Model Parameters by a Double Layer Genetic Algorithm. WSEAS TRANSACTIONS on COMPUTERS. 11(11): 377-386. http://www.wseas.org/multimedia/journals/computers/2012/56-122.pdf . Accessed 7 September 2017.ABSTRACT: This paper presents a double layer genetic...

  3. 2012-Yuan-Coupled Plankton System With Instantaneous And Delayed Predation

    08 Sep 2017

    Yuan, Yuan. 2012.  A coupled plankton system with instantaneous and delayed predation. Journal of Biological Dynamics. 6(2): 148-165We present two simple plankton population models: one has instantaneous predation, another has delayed predation. The models consist of two coupled differential...

  4. 2012-Ingalls-Mathematical Modeling In Systems Biology Text

    08 Sep 2017

    Ingalls, Brian. 2012. Mathematical Modelling in Systems Biology: An Introduction. pp. 396. Notes. https://www.math.uwaterloo.ca/~bingalls/MMSB/Notes.pdf . Accessed 7 September 2017.This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and...

  5. 2011-Wood-Squigonometry

    08 Sep 2017

    Wood, W. 2011. Squigonometry. Mathematics Magazine.  84(4): 257-265.The differential equations used to define a unit circle, namely          x’(t) = - y(t),     y’(t) = (t),      x(0) =...

  6. 2009-ReidKing-PendulumMotion

    08 Sep 2017

    Reid, Thomas F.  and Stephen C. King. 2009. Pendulum Motion and Differential Equations. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 19(2): 205-217,Abstract: A common example of real-world motion that can be modeled by a differential equation, and one easily...

  7. 2003-YildinMackey-LactoseOperonModeling

    08 Sep 2017

    Yildirim, Necmettin and Michael C. Mackey. 2003.  Feedback Regulation in the Lactose Operon: A Mathematical Modeling Study and Comparison with Experimental Data. Biophysical Journal. 84:  2841–2851.    ABSTRACT A mathematical model for the regulation of induction in...

  8. 2003-FayGraham-CoupledSpringEquations

    08 Sep 2017

    Fay, T.H. and S. D. Graham. 2003. Coupled spring equations.  Int.J. Math. Educ. Sci. Technol. 34(1): 65-79.   ABSTRACT Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described. For the linear model...

  9. 2004-ThomasJones-Math Model For Debriding Wound

    08 Sep 2017

    Jones, M. and D. Thomas. Controlling wound healing through debridement.  Preprint. Abstract. The formation of slough (dead tissue) on a wound is widely accepted as an inhibitor to natural wound healing. In this article, a system of differential equations that models slough/wound...

  10. 1967-Isrealsson Johnsson-Circumnutations In Helianthus Annuus

    08 Sep 2017

    Israelsson, D. and A. Johnsson. 1967. A Theory for Circumnutations in Helianthus annuus.  Physiologia Plantarum. 20:  957-976.Abstract:“A theory is given for circumnutations in plants, especially hypocotyls of Helianthus annuus, which were used as experimental material.“The...

  11. 1969-JohnssonIsraelsson-Phase Shift In Geotropical Oscillations

    08 Sep 2017

    Israelsson, D. and A. Johnsson. 1969. Phase-shift in Geotropic Oscillations a Theoretical and Experimental Study.  Physiologia Plantarum. 22:  1226-1237.The paper studies geotropical induced phase-shifts in circumnutations (turning) of Helianthus annus hypocotlys. Theory based on...

  12. 2008-HELM-Applications Of Differential Equations Chapter19

    08 Sep 2017

    HELM - University of Southampton. 2008. Applications of Differential Equations. Chapter 19.https://nile.northampton.ac.uk/bbcswebdav/courses/CFAP02R/Guest%20access%20files/HELM_new/pages/workbooks_1_50_jan2008/Workbook19/19_1_modling_with_diffrntl_eqns.pdf . Accessed 5 September 2017.The sections...

  13. 2001-Cheng-TeachingMathematicalModeling

    08 Sep 2017

    Cheng, Ang Keng. 2001. Teaching mathematical modelling in Singapore schools.  The Mathematics Educator. 6(1): 63-75. Published by Association of Mathematics EducatorsFrom Introduction, “The purpose of this paper is to examine the possibility of introducing the teaching of mathematical...

  14. 2006-WilenskyReisman-Think Like Wolf Sheep Firefly

    08 Sep 2017

     Wilensky, U. and K. Reisman. 2006. Thinking Like a Wolf, a Sheep, or a Firefly: Learning Biology Through Constructing and Testing Computational Theories--an Embodied Modeling Approach. Cognition Instruction. 24(2): 171-209.Abstract:Biological phenomena can be investigated at multiple...

  15. 2008-RibbingEtAl-Models Of Diabetes Progression

    08 Sep 2017

    Ribbing, J., A. De Gaetano, T.Hardy ,  B. Beck, E. Abu-Raddad, P. Palumbo, J. Bue-Valleskey, and N. Pørksen. 2008. Mathematical models of diabetes progression. Am J Physiol Endocrinol Metab. 295: E1462–E1479.Abstract:  Few attempts have been made to model mathematically the...

  16. 1994-McDillFelsager-LighterSideOfDiffEq

    08 Sep 2017

    McDill, J. M.  and Bjorn Felsager.  1994. The Lighter Side of Differential Equations. The College Mathematics Journal. 25(2): 448-452.First opening material in article,“Although differential equations have many serious applications to the modeling of real-world problems, a few...

  17. 1994-Davis-AskingGoodQuestionsAboutDEs

    07 Sep 2017

    Davis, Paul. 1994. Asking Good Questions about Differential Equations. The College Mathematics Journal. 25(5):  394-400 A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish...

  18. 1991-Kotiah-Difference Differential Equations Finance

    07 Sep 2017

    Kotiah, Thoddi C. T.  1991. Difference and differential equations in the mathematics of finance. International Journal of Mathematical Education in Science and Technology, 22(5): 783-789.Abstract: Many problems arising in the mathematics of finance involve identical money flows at regular...

  19. 1981-NielsenRosenfeld Interpretations Of DE Models

    07 Sep 2017

    Nielsen, François and Rachel A. Rosenfeld. 1981.  Substantive Interpretations of Differential Equation Models. Sociological Review.  46(2): 159-174.Abstract: The use of differential equations models to study social processes has been increasing rapidly. There are, however,...

  20. 1975-Burghes-PopulationDynamics

    07 Sep 2017

    Burghes, David N. 1975. Population dynamics An introduction to differential equations. International Journal of Mathematical Education in Science and Technology. 6(3): 265-276.Abstract:  In this paper a number of population models, which lead to differential equations, are derived....

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