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    2001-A_Tsoularis-Analysis_of_logistic_growth_models
    The paper presents an historical development of the logistic equation in its various forms, including Verhulst, Pearl and Reed, Gompertz, Bertalanffy, Richards, and others.

    Keywords: logisticpopulationgrowth curvelimited growthGompertzhistorylogistic equationVerhulstPearl and ReedBertalanffyRichards

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    2011-Lorelei_Koss-Sustainability_in_a_differential_equations_course_case_study_of_Easter_Island
    Easter Island is a fascinating example of resource depletion and population collapse, and its relatively short period of human habitation combined with its isolation lends itself well to...

    Keywords: differential equationssustainabilitypopulationEaster Islandcollapseenvironmental collapse

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    2002-Patrick_Nelson-Alan_Perelson-Mathematical_analysis_of_delay_differential _equation_models_of_HIV-1_infection
    Models of HIV-1 infection that include intracellular delays are more accurate representations of the biology and change the estimated values of kinetic parameters when compared to models without...

    Keywords: delayHIV-1T cellscombination antiviral therapy

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    2014-C_W_Groetsch-S_A_ Yost-Vertical Projection_in_a_Resisting_Medium_Revelations_on_Observations_of_Mersenne
    This article, inspired by a 17th-century woodcut, validates empirical observations of Marin Mersenne (1588–1648) on timing of vertically-launched projectiles for a general mathematical model of...

    Keywords: resistanceprojectile motionprojectilefluidMersenne

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    2018-Weber_Theers_Surmann_Ligges_Weihs-Sensitivity Analysis_of_Ordinary_Differential_Equation_Models
    This report will focus on the sensitivity analysis of ordinary differential equation (ODE) models since they can be used to model so-called Low Frequency Oscillations (LFOs).

    Keywords: sensitivityregressionparameter estimationsystemlow frequency oscillationsoscillations

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    2019-Fan_ Li_ Yin- Impact_of_environmental_tax_on_green_development-nonlinear_dynamical_system_analysis
    This study analyzes the impact of environmental tax on green development by using a four-dimension dynamical system.

    Keywords: environmentsystemequilibrium pointmodel chaoseconomic growthnonlinear

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    9-014-TurkeyCook-ModelingScenario
    The goal of this project is to investigate several models for the cooking time for a turkey based on weight, test these models with data obtained from heating curves for turkeys of various weights,...

    Keywords: sphereheat equationturkeyPanofskyradial symmetry

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    9-012-PDEGuitarTuning-ModelingScenario
    We lead students through a derivation of a partial differential equation which models the motion of a string held at both ends, a case of the one-dimensional wave equation, and then play it on...

    Keywords: extensionsine wavesfrequencyguitardampingFourierstringtuning

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    Biomes lecture with active learning activities and a worksheet set
    Learning Objectives: *Identify the characteristics of each biome *Know the major drivers of global climate patterns *Discern how 2 factors largely determine terrestrial biomes *Evaluate the...

    Keywords: lecture slidesgraphsglobal warmingclimatebiomesConvergent Evolution

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    Biogeography of Hantavirus Hosts
    Using QGIS, this module introduces students to zoonotic pathogens, host biogeography, the "One Health" concept, forming hypothesis, and natural history museums within the Hantavirus system.

    Keywords: human-environmental interactionsmammalsbiogeographyhypothesis formulationdigitized natural history collectionshuman healthQGISzoonotic diseasesone healthrodentsPathogens

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    RNAseq data analysis using Galaxy
    This is a bioinformatics exercise intended for use in a computer lab setting with life science majors.

    Keywords: LabbioinformaticsNCBImappingUndergraduateworkflowNIBLSEGalaxyRNAseqgene expressionAdvancedExtended ProjectArabidopsisC1. Role of bioinformaticsC2. Computational conceptsC3. Statistical conceptsC5. Data retrievalIncubated at NIBLSEdifferentially expressed genes

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    Needleman - Wunsch Algorithm Exercise
    This exercise is used in a sophomore-junior level bioinformatics course. The algorithm is introduced to the students who then complete the exercise.

    Keywords: bioinformaticsUndergraduateNIBLSEalgorithmsincubatorsAudience LevelAdvancedActivity Length1 HourNeedleman-WunschC2. Computational conceptsIncubated at NIBLSE

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    Pennies to The Moon Data Byte Series
    This series of Rbyte activities explores the concept of debunking using Fermi Estimation, R, and ChatGPT.

    Keywords: RprogrammingOpen SourceOpen Sciencedata literacycalling bullProgramming practiceFermi EstimationChatGPTGoogle CoLab

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    1-030-RandomPerturbation-TechniqueNarrative
    After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations.

    Keywords: random perturbationBrownian motionLangevin equationRiemann-Steiltjes integralWiener processIto's calculus

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    Climate Change Connections
    This module is composed of three related activities that introduce students to climate change's complexity from a conceptual standpoint. In the first activity, students work in small groups to...

    Keywords: interdisciplinaryclimate changeconcept mapping

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    2016-Langtangen-Pedersen - Scaling of Differential Equations
    Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations...

    Keywords: scalingdimensionlesscontinuum mechanics

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    Understanding Gastric Acid Secretion: An Active Learning Approach
    The human digestive system is a diverse network of cells, tissues, and organs that is regulated by systemic (e.g., nervous and endocrine systems) and local factors (e.g., secretions, pH, and the...

    Keywords: diseasesignal transductionAcid SecretionAutonomic Nervous SystemEndocrineGastric PhysiologyGPCRHistology of Gastric Pit

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    Integrating Primary Literature in a Lecture Course Using a Modified Version of the C.R.E.A.T.E. Approach
    Reforms in undergraduate science education place an increasing emphasis on teaching the skills of practicing scientists, such as reading and interpreting the primary research literature. Many...

    Keywords: primary literatureDiscussionModified JigsawPeer-based Learning

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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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    2008-Duran-Caginalp-Parameter optimization for differential equations in asset price forecasting
    The optimization procedure is used in conjunction with daily market prices (MPs) and net asset values to determine the parameters for which the AFDE yield the best fit for the previous n days.

    Keywords: financeinverse problemnumerical nonlinear optimizationasset flowfinancial market dynamicsmarket return prediction algorithm

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