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1-005C-S-OilSlick
17 Jan 2022 | | Contributor(s):: Jennie D'Ambroise
We describe a modeling activity for Calculus I students in which modeling with difference and differential equations is appropriate. This model enlightens students as to how derivatives are used in applications as well as a brief introductory encounter with parameter estimation for a linear,...
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1-160-S-HeartDeathRate
20 Sep 2021 | | Contributor(s):: Arati Nanda Pati
In this modeling scenario, we offer students simulation experience from a given data set which represents the heart death rate during the period 2000 - 2010 using several approaches to include exponential decay, difference equation, differential equation, and parameter estimation using EXCEL. We...
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6-029-S-TumorGrowth
04 Aug 2021 | | Contributor(s):: Allison Leigh Lewis
This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of tumor growth over time. Students should have prior experience with solving ODEs using the separable...
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3-105-S-FrequencyResponse
22 Jul 2020 | | Contributor(s):: Brian Winkel
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.
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2020-Winkel, Brian - Remote Teaching Module - Modeling a Falling Column of Water
07 Jun 2020 | | Contributor(s):: Brian Winkel
{xhub:include type="stylesheet" filename="pages/resource.css"}{xhub:include type="stylesheet" filename="pages/scudem-accordion.css"}We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module - Modeling the Falling Column of Water.This module...
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2020-Winkel, Brian - Modeling Reported Cases of COVID-19 in Panama
24 Apr 2020 | | Contributor(s):: Brian Winkel
Here we model the number of officially recorded cases of COVID-19 in Panama. We have postings using Mathematica notebooks and an Excel spreadsheet to consider the following models for y(t), the number of officially recorded cases of COVID-19 in Panama as of day t = 1 or 9 March...
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5-010-S-DNADegradation
21 Apr 2020 | | Contributor(s):: Brian Winkel
We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...
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2019-Elishakoff, Isaac - Differential Equations of Love and Love of Differential Equations.
06 Apr 2020 | | Contributor(s):: Brian Winkel
Elishakoff, Isaac. 2019. Differential Equations of Love and Love of Differential Equations. Journal of Humanistic Mathematics. 9(2): 1-22. See https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1549&context=jhm.SynopsisIn this paper, simple...
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2013-Dontwi, I. K. et al. - Modeling Memorization and Forgetfulness Using Differential Equations.
05 Apr 2020 | | Contributor(s):: Brian Winkel
Dontwi, I. K. et al. 2013. Modeling Memorization and Forgetfulness Using Differential Equations. Progress in Applied Mathematics. 6 (1), 1{11.See http://www.cscanada.net/index.php/pam/article/view/j.pam.1925252820130601.3421 .Abstract: Research Context: The aim of the study...
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2018-Yu, Polly Y. and Gheorghe Craciun - Mathematical Analysis of Chemical Reaction Systems.
05 Apr 2020 | | Contributor(s):: Brian Winkel
Yu, Polly Y. and Gheorghe Craciun. 2018. Mathematical Analysis of Chemical Reaction Systems. Isr. J. Chem. 58: 1 – 10.See https://people.math.wisc.edu/~craciun/PAPERS_NEW/Yu_Craciun_2018-Israel_Journal_of_Chemistry.pdf .Abstract: The use of mathematical methods for the...
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2012-Obeng-Denteh; W., Odum Kodua-Nana; S. Owusu Ansah; R. Kwame Ansah; and Alex Quashie Nyamadu - Lecture Attendance Using Differential Equations: The Case of Students of Kwame Nkrumah University of Science and Technology.
05 Apr 2020 | | Contributor(s):: Brian Winkel
Obeng-Denteh1, W., Odum Kodua-Nana1, S. Owusu Ansah1, R. Kwame Ansah1 and Alex Quashie Nyamadu. 2012. Modelling Students’ Affinity for Lecture Attendance Using Differential Equations: The Case of Students of Kwame Nkrumah University of Science and Technology. British Journal of Education,...
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1999-McCartney, Mark and Malachy Carey - Modelling Traffic Flow: Solving and Interpreting Differential Equations.
05 Apr 2020 | | Contributor(s):: Brian Winkel
McCartney, Mark and Malachy Carey. 1999. Modelling Traffic Flow: Solving and Interpreting Differential Equations. Teaching Mathematics and its Applications: An International Journal of the IMA. 18(3):...
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2016-Barbarossa, Maria Vittoria and Christina Kuttler - Mathematical Modeling of Bacteria Communication in Continuous Cultures.
01 Apr 2020 | | Contributor(s):: Brian Winkel
Barbarossa, Maria Vittoria and Christina Kuttler. 2016. Mathematical Modeling of Bacteria Communication in Continuous Cultures. Appl. Sci. 6(149): 1-17.See https://www.researchgate.net/publication/303246621_Mathematical_Modeling_of_Bacteria_Communication_in_Continuous_Cultures...
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2018-Joseph ,G Arul J. and S Balamuralitharan - A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM
01 Apr 2020 | | Contributor(s):: Brian Winkel
Joseph ,G Arul J. and S Balamuralitharan. 2018. A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM. IOP Conf. Series: Journal of Physics: Conf. Series. 1000:...
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2020-Chen,Tian-Mu, Jia Rui, Qiu-Peng Wang, Ze-Yu Zhao, Jing-An Cui, and Ling Yin - MathModelSimulationPhase-BasedTransmissabilityiCoronoaVirus
01 Apr 2020 | | Contributor(s):: Brian Winkel
Chen,Tian-Mu, Jia Rui, Qiu-Peng Wang, Ze-Yu Zhao, Jing-An Cui, and Ling Yin. 2020. A mathematical model for simulating the phase-based transmissibility of a novel coronavirus. Infectious Diseases of Poverty. 9(24): 1-8. Abstract:Background: As reported by the World Health...
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2007-Choisy, M., J.-F. Guégan, and P. Rohani -Mathematical Modeling of Infectious Diseases Dynamics.
01 Apr 2020 | | Contributor(s):: Brian Winkel
Choisy, M., J.-F. Guégan, and P. Rohani1. 2007. Mathematical Modeling of Infectious Diseases...
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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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2017-Gupta, Richa and Deepak Kumar - Numerical Model for Glucose Metabolism for Various Types of Food and Effect of Physical Activities on Type 1 Diabetic Patient
27 Mar 2020 | | Contributor(s):: Brian Winkel
Gupta, Richa and Deepak Kumar. 2017. Numerical Model for Glucose Metabolism for Various Types of Food and Effect of Physical Activities on Type 1 Diabetic Patient. Applied Mathematics. 7(2): 19-22.See http://article.sapub.org/10.5923.j.am.20170702.01.html...
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2017-Biswasa, Haider Ali, Rajib Hossaina, and Mitun Kumar Mondala - Mathematical Modeling Applied to Sustainable Management of Marine Resources
27 Mar 2020 | | Contributor(s):: Brian Winkel
Biswasa, Haider Ali, Rajib Hossaina, and Mitun Kumar Mondala. 2017. Mathematical Modeling Applied to Sustainable Management of Marine Resources. Procedia Engineering. 194: 337 – 344. Abstract: In this work, we formulate and study a nonlinear mathematical model of...
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2015-Joshi, Hem Raj, Suzanne Lenhart, Sanjukta Hota - Optimal control of an SIR model with changing behavior through an education campaign.
27 Mar 2020 | | Contributor(s):: Brian Winkel
Joshi, Hem Raj, Suzanne Lenhart, Sanjukta Hota. 2015 Optimal control of an SIR model with changing behavior through an education campaign. Electronic Journal of Differential Equations. 2015(50): 1-14.See https://ejde.math.txstate.edu/Volumes/2015/50/joshi.pdf .Abstract. An SIR type...