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    2017-Jean-Roux-Mathematical Models in Air Quality Problems
    Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.
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    3-069-HeatInBar-ModelingScenario
    The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches.
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    2018-Adeniji-EtAl-InverseProblemHolling-TannerModel
    We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of...
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    2017-Justin_Krueger-Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology
    We demonstrate the feasibility of principal differential analysis using simulation studies and then apply the method to intestinal and vaginal microbiota data.
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    2015-Zhang-EtAl-On the Selection of ODE Models with Application to Predator-Prey Dynamical Models
    We propose a computationally inexpensive approach that employs statistical estimation of the full model, followed by a combination of a least squares approximation (LSA) and the adaptive Lasso.
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    2-001-NumericalMethodsComparisons-TechniqueNarrative
    This material teaches the basics of numerical methods for first order differential equations by following graphical and numerical approaches. We discuss the order of accuracy of the methods and...
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    2018-Akman-EtAl-Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization
    We demonstrate Particle Swarm Optimization efficacy by showing that it outstrips evolutionary computing methods previously used to analyze an epidemic model.
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    2010-Roberto_Munoz-Alicea-Mathematical Model for Enzyme Kinetics-Multiple Timescales Analysis
    We study a basic model for enzyme substrate reaction. Through several assumptions and via nondimensionalization, we simplify the equations.
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    HSI - Student Research Journal - Vol.1 Issue 3 - Fall 2020
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 1 - Issue 3 - Fall 2020...
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    HSI - Student Research Journal - Vol.1 Issue 2 - Fall 2020 v.1.0
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 1 - Issue 2 - Fall 2020...
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    Nucleoplasmic Index
    This module introduces the nucleoplasmic index in the context of understanding how the volume of organelles and cell contents change during the cell cycle. It is intended for an introductory...
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    Sizes of Organisms: The Surface Area to Volume Ratio
    This module introduces surface area-volume ratio in the context of understanding the limits or constraints on organism size. It is intended for an introductory biology audience.
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    Leslie/Lefkovitch Matrix Models for Age or Stage-structured Populations
    This Excel workbook uses the Leslie matrix model for population projection of age-class structured populations, and also allows Lefkovitch matrix models for stage-class structured populations.
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    1994-M_Yamaguti-Discrete Models in Social Sciences
    Also, a finite difference model in sociology is given as a chaotic phenomenon.
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    Lung Capacity and Rhythms in Breathing
    This module introduces rhythmic inhaling and exhaling in the context of understanding trigonometry and sine waves. It is intended for an introductory biology audience.
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    5-036-HalfCarVibration-ModelingScenario
    Vibration vehicle models provide an opportunity to integrate vehicle-based vibrations into a mechanical engineering vibrations course. The project is on a multiple-degree-of-freedom (MDOF)...
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    1999-Leonid_Hanin-Which tank empties first
    Suppose that water towers like those shown in the opening are initially filled with water and have the same volume, height, and cross-sectional outlet area. Which one empties first?
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    Avida-ED
    Avida-ED is an award-winning educational application developed at Michigan State University for undergraduate biology courses to help students learn about evolution and scientific method.
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    How the Scientific Method Works
    An episode dedicated to learning about how we explore our world using the scientific method.
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    Making “sense” out of surface area to volume relationships
    Using a multimodal approach, the non-linear aspect of the surface area to volume relationship is explored. Students use their their senses of taste and sight to determine how smaller cells and...
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