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    2013-Clarke-Skirba-Rationale and resources for teaching the mathematical modeling of athletic training and performance
    It is advisable that the professionals involved learn the various tools available for designing effective training programs.

    Keywords: fitnessexercise physiologycritical power modelBanister impulse-response modelcoaching educationphysical fitnessperformance modeling

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    2012-Murray_Bourne-Modeling fish stocks
    Discusses many models of harvesting and consequences.

    Keywords: fishlogisticmanagementsusustainable developmentharvestfish stockoverpopulatedunsustainable

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    2012-José_Sérgio_Domingues-Gompertz Model - Resolution and Analysis for Tumors
    The main objective of this paper is to use the Gompertz equation in order to study the development of blood irrigated solid tumors, using parameters defined in some important bibliographic...

    Keywords: tumorGompertz equationgrowth tumor

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    2011-Carl_Leinbach-Beyond Newton's law of cooling - estimation of time since death
    The paper offers an excellent history of temperature-based methods and then proceeds to demonstrate these with some data. Here the history is rich and will support student investigation as well as...

    Keywords: time of deathNewton's aw of cooling

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    2010-Kijek-Kijek-Modelling of Innovation Diffusion
    This paper offers a first order differential equation model for innovation diffusion, solves it, and offers qualitative analysis as well as approaches to estimating parameters with some data on...

    Keywords: Bass modelinnovation diffusionLogistic modeldynamic model

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    2010-Jungck-EtAl-Mathematical Manipulative Models-In Defense of Beanbag Biology
    This paper offers up samples of projects from the Bio- QUEST Curriculum Consortium’s 24-yr experience of holding faculty development workshops for biology and mathematics educators.

    Keywords: epidemiologysimulationinfectious diseasedisease transmissiondiseasein-class activitybean bag activity

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    2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
    We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using...

    Keywords: optimal controlsustainable yieldmaximum sustainable yieldharvestExpected Net Present Valuecalculus of variationsdynamic programmingmaximum economic yield

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    2008-Chernyshov-EtAl-The Problem of Modelling of Economic Dynamics in Differential Form
    The authors have tried to analyze procedures of the construction of differential equations that are employed for modeling of macroeconomic processes. The results prove to be rather unexpected.

    Keywords: Fredholm integral equation ofLeontief’s modelmacroeconomic processes

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    2008-Ahmed_Mohameden-Solving initial-value second order ordinary differential equations on an Excel spreadsheet
    This paper presents a friendly method of solving initial-value second order differential equations (DEs) analytically on a MS Excel© workbook.

    Keywords: ExcelSpreadsheet

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    Engaging Students in Pharmacogenetics: Patient Case Studies Using the PharmGKB Website
    Cytochrome P450 (CYP) enzymes are important regulators of drug efficacy and toxicity. Genetic variation in CYP isoforms can impact how well patients respond to medications or experience unwanted...

    Keywords: toxicologyPharmacologydrug metabolismpharmacodynamicspharmacogenetics

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    2007-Choisy-Guégan-Rohani-Mathematical Modeling of Infectious Diseases Dynamics
    After presenting general notions of mathematical modeling (Section 22.2) and the nature of epidemiological data available to the modeler (Section 22.3), we detail the very basic SIR epidemiological...

    Keywords: stochasticSIR modeldeterministicincubationinfectives

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    Discovery and Invention: A Reflection on Representation in Science
    Despite increased awareness of the lack of equity and inclusion in the STEMM classroom, lessons on DEI topics are treated as separate to the scientific curriculum being taught. Rarely are...

    Keywords: EquityDiversity and Inclusionantiracism

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    2005-Minna_Wedenberg-Pharmacokinetic modeling of gastric emptying
    The development of new drug substances is a complex, time consuming and expensive process. Reducing the time for drug development and avoiding late termination of candidate drugs are important...

    Keywords: paracetamolpharmacokineticsstomachsmall intestinesulfapyridine

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    2005-HP-Hirst-Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling
    Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling.

    Keywords: predator-preyhistory

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    2005-Albert_Tarantola-Inverse Problem Theory and Methods for Model Parameter Estimation
    This is a bible of approaches to support parameter estimation approaches in inverse problems. Theory and algorithms are offers with examples.

    Keywords: Algorithminverse probleminverse

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    2003-Richard-Carson-Tracer kinetic modeling in PET
    The use of radiopharmaceuticals and the imaging of their biodistribution and kinetics with modern instrumentation are key components to successful developments in PET.

    Keywords: Metabolismtomographyradiopharmaceuticalspositron emission

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    2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations
    The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear...

    Keywords: instructional designeigenvalueseigenvalue analysis

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    2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
    Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,

    Keywords: biologyMathematical Biologytextbooktext

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    2002-Chai-Optimal initial angle to fire a projectile
    Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is the optimal initial angle of firing to maximize the horizontal distance...

    Keywords: optimizationprojectile motionlaunch angle

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    2001-Tsoularis-Analysis of logistic growth models
    variety of growth curves have been developed to model both unpredated, intraspecific population dynamics and more general biological growth. We further review and compare several such...

    Keywords: logisticGompertzVerhulstPearl and ReedBertalanffy

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