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    2013-Alicia_Caldwell-Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data
    This paper describes a lab in which students in an Applied Mathematics in Biology course observe the growth of Saccharomyces cerevisiae, a yeast strain, in differing sugar concentrations for use in...

    Keywords: Saccharomyces cerevisiaelogisticyeastdeathgrowthsugaralcohol

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    2012-Transtrum-Qiu-Optimal experiment selection for parameter estimation in biological differential equation models
    We explore the question to what extent parameters can be efficiently estimated by appropriate experimental selection.

    Keywords: experimental designsystems biologyAssociation & Data Fittingreaction ratesdecay rates

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    RAT ATTACK! Population growth
    This module contains exercises focused on the use and interpretation of density independent and density dependent population growth models. Students build logistic and exponential growth models in...

    Keywords: modelingecologyExcelintroductory biologygraphingQuantitative reasoningdata visualizationinterdisciplinaryexponential growthlogistic growthdata managementInterpreting Graphspopulation modelingNIQBC2. Data and GraphsC4. mathematical modelsnonlinear models

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    2012-Gilbert_Koch-Modeling of Pharmacokinetic and Pharmacodynamics of Cancer and Arthritis
    In this work we develop preclinical PKPD models based on fundamental biological and pharmacological principles. Equipped with a PKPD model, different dosing schedules could be simulated.

    Keywords: cancerpharmacodynamicsPKPD modelarthritisPharmacokineticanticancer

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    2011-Yuan-EtAl-Real life applications of ODEs for Undergraduates
    This study introduces real-life mathematical theories and models of international relationships suitable for undergraduate ordinary differential equations, by investigating contradicts between...

    Keywords: arms raceRichardson modelBattle of Curupaytíinternational relationships

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    2011-Yanyu_Xiao-Study of Malaria Transmission Dynamics by Mathematical Models
    The novelty lies in the fact that different distribution functions are used to describe the variance of individual latencies. The theoretical results of this project indicate that latencies reduce...

    Keywords: infectious diseaseinfectionmalarialatencyspatial dispersalmulti-species

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    2011-Nancy_Rodrıguez-Applied Partial Differential Equations in Crime Modeling and Biological Aggregation
    In the first part we study a fully-parabolic system of PDEs for residential burglary ‘hotspots’ (spatio-temporal areas of high density of crime). In this work we are concerned with the existence...

    Keywords: biologyDiffusionKeller-Segel modelchemotaxiscrime

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    2011-Kurt_Kreith-The Mathematics of Global Change
    The authors discuss broad issues and then focus on specifics like exponential growth, logistic growth, and the logistic equation with delay.

    Keywords: exponential growthlogistic growth

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    2011-Gaff-Lenhart-Use of optimal control models to predict treatment time for managing tick-borne disease
    Tick-borne diseases have been on the rise recently, and correspondingly, there is an increased interest in implementing control measures to decrease the risk. Optimal control provides an ideal tool...

    Keywords: diseaseoptimal controlTICKtick modeehrlichiosisbang bang control

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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.

    Keywords: kineticsEnzymesubstratenondimensionalizationmultiple timescales

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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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    2011-Therese-Keane-Combat modelling with partial differential equations
    We present work seeking to more realistically represent troop dynamics and to enable a deeper understanding of the nature of conflict.

    Keywords: Lanchester modeltroop dynamicsswarming behaviortroop regroupinglossesnon-local termslocal terms

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    2009-Noakes-Sleigh-Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards
    Understanding the risk of airborne transmission can provide important information for designing safe healthcare environments with an appropriate level of environmental control for mitigating risks.

    Keywords: infectioncompartmenthospitalventilationairbornesthochasticWells–Riley

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    2008-Ribbing-EtAl-Mathematical models of diabetes progression
    Writing a good model for diabetes progression is difficult because the long time span of the disease makes experimental verification of modeling hypotheses extremely awkward. underlying the

    Keywords: physiologyclinical trialsdiabetesdiabetes progression

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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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    2006-Matt_MacWilliams-Developing ODEs to Describe the Motion of a Paper Helicopter
    This paper attempts to create a model that describes the motion of a paper helicopter using engineering, physical and statistical knowledge.

    Keywords: experimental designhelicopter

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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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    Who’s That Speci-Mon? Using PokémonTM to Understand Biological Terminology Using Greek and Latin Roots
    We set out to create a fun and engaging activity using recognizable fictional characters, so students get a chance to practice using Greek and Latin roots to create binomial names. Students in...

    Keywords: linguisticstaxonomyAnatomyGreek and Latin Roots

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    2001-Edwards-Buckmire-A differential equation model of North American cinematic box-office dynamics
    A new mathematical model is presented for the box-office dynamics of a motion picture released in North America.

    Keywords: cinemamoviesbox-office

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    2009-Eriksson- Estep-Hansho-Johnson-Computational Differential Equations
    Differential Equations and Advanced Computational Differential Equations, presents a unified approach to computational mathematical modeling using differential equations based on a principle of a...

    Keywords: Galerkin

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