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    2013-Fathalla_Rihan-Delay Differential Equations in Biosciences - Parameter estimation and sensitivity analysis
    This is a review article to show that delay differential models have a richer mathematical framework (compared with models without memory or after-effects) and a better consistency with biological...

    Keywords: epidemiologysensitivityImmunologyphysiologyRK-methodstime-lags

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    2000-Armson-Cockroft-Stone-Modelling a barnacle goose population
    This paper explores a number of models for the growth of a barnacle goose population. These geese spend their summers breeding in Spitsbergen and then winter in Caerlaverock on the Solway Firth....

    Keywords: population dynamicsexponentiallogistic equationBarnacle Geese

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    1986-Istvan_Gyori-Connections between compartment systems pipes and integro-differential equations
    In this paper we give the mathematical description of models in which the mass transport between compartments requires a given definite time or transit times are distributed according to given...

    Keywords: physiologypipelinecompartmentbloodcirculationintegro-differential equation

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    2009-Su-EtAl-Fitting Compartmental Models to Multiple Dose Pharmacokinetic Data using SAS
    In the case of a multiple dose study where subjects experience different dosing times, a superposition principle can be used to recursively account for each additional dose.

    Keywords: SASsuperpositionpharmacokineticscompartmental modelsmultiple dose

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    1999-Khorasheh-Ahmadi-Gerayeli-Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation
    For simple pharmacokinetic compartmental models, analytical solution to the governing differential equations provide a mean to evaluate the associated rate constants. Such methods, however, can not...

    Keywords: sum of square errorsleast squarespharmacokineticslineteicscompartmental modelsdirect search

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    A Framework for Teaching Modeling to Biologists
    Abstract for presentation at SIAM ED 2016 on modeling

    Keywords: modelingSIAM

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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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    Teaching students to read, interpret, and write about scientific research: A press release assignment in a large, lower-division class
    A central skill in any science discipline is the ability to read, understand, and discuss the primary literature of the discipline. However, teaching this skill presents unique challenges within...

    Keywords: cell biologyScience Communicationscientific literacyGraduate Teaching Assistant Professional DevelopmentBiological LiteracyPrimary ResearchWriting Skills

    2022

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    Training future faculty in 30 minutes a week: A modular framework to provide just-in-time professional development to graduate teaching assistants
    Despite increasing recognition of the need to train the teaching assistants (TAs) teaching the majority of STEM lab sections, very few programs report offering sustained teaching professional...

    Keywords: professional developmentTA TrainingTeaching Assistants

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    Implementing an online module about measuring carbon stocks in an undergraduate Earth Science course
    In this implementation of a case study in which high technology was used to measure carbon stocks in a tropical forest, earth science students in this 4-year college in Oklahoma applied concepts...

    Keywords: climate changephotosynthesisbiomasscarbon cyclegreenhouse gas effect

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    Plant-microbial mutualisms in canopy gap recovery: How do soil microbial symbionts help tropical forests recover from treefall gaps?
    This module uses tropical plant-soil microbial interactions in canopy gaps as a lens to better understand species interactions and disturbance ecology, while showing how scientists study these...

    Keywords: forest ecologyPlant Ecologynutrient cyclingmicrobestropical forestsDisturbances

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    Healing the scars: A tropical rainforest carbon cycling module implemented in a Forest Ecology course
    This publication describes my implementation of this module on tropical rainforest carbon cycling in an undergraduate forest ecology course for majors in the Department of Silviculture and Forest...

    Keywords: carbon cyclingnutrient cyclingenergy flowecosystem productivity

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    Exploring the Ecology of Gorongosa
    Students learn about bottleneck events, population demographics and growth, ecological niches and competition, food chains/webs and ecological disturbances through past and current data on...

    Keywords: Community Ecologypopulation ecology

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    Student-Driven Design-and-Improve Modules to Explore the Effect of Plant Bioactive Compounds in Three Model Organisms
    Engaging and supporting introductory level students in authentic research experiences during required coursework is challenging. Plant bioactive compounds attract students' natural curiosity as...

    Keywords: statisticsLabCUREInquiryresearch skillscaterpillardaphniadrugsscience process

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    1-104A-T-InfectionRisk-ModelingScenario
    This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions and comparing to actual...

    Keywords: regressioninfectionCOVID19carrying capacitylogistic equationexponential model

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    2018-Meredith_Greer-Ella_Livesay-Mathematical Epidemiology Goes to College
    In this article we present models that were inspired by two real-life outbreaks at a small residential college campus: H1N1 influenza in 2009 and, surprisingly, mumps in 2016.

    Keywords: epidemiologydiseaseH1N1Influenzaoutbreak

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    2016-Manheim-EtAl-Improving Decision Support for Infectious Disease Prevention and Control
    This report describes decision-support tools, including models and nonmodeling approaches, that are relevant to infectious disease prevention, detection, and response and aligns these tools with...

    Keywords: infectious diseaseecosystemepidemicmodel policy

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    2015-Erzo-Luttmer-Four Models of Knowledge Diffusion and Growth
    This paper describes how long-run growth emerges in four closely related models that combine individual discovery with some form of social learning.

    Keywords: knowledge diffusionstationary distributionsproductivity distributionreaction-diffusion equationsquasi-stationary distributions

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    2012-R_B_Ogunrinde-J_Sunday-On_some_models_based_on_second_order_differential_equations
    This paper presents some models based on second order differential equations. This is a very straightforward article with good explanations of modeling assumptions.

    Keywords: combatcombat modelspecies interaction

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    2019-Lorelei_Koss-SIR_Models_Differential_Equations_that_Support_The_Common_Good
    This article surveys how SIR models have been extended beyond investigations of biologically infectious diseases to other topics that contribute to social inequality and environmental concerns.

    Keywords: environmentSIRsocial justiceepidemiccommon good

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