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    2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
    In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in...

    Keywords: population dynamicsecologydynamicsclassical mechanicschemical reaction

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    Metabolism for Energy and the Respiratory Quotient
    This module introduces the respiratory quotient in the context of understanding how metabolism is affected by environmental conditions. It is intended for an introductory biology audience.
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    2018-Banerjee-EtAl-Prey-Predator Model with a Nonlocal Bistable Dynamics of Prey
    The primary goal of our present work is to consider nonlocal consumption of resources in a spatiotemporal prey-predator model with bistable reaction kinetics for prey growth in the absence of...

    Keywords: predator-preynonlocal consumptionTuring bifurcationspatial Hopf bifurcationspatio-temporal patternprey growth

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    2004-Mitchell-von Meien-Krieger-Dalsenter-A review of recent developments in modeling of microbial growth kinetics
    Mathematical models are important tools for optimizing the design and operation of solid-state fermentation (SSF) bioreactors. Such models must describe the kinetics of microbial growth.

    Keywords: Filamentous Fungisolid-state fermentationgrowth kineticsdiffusion-reactionoxygen transfer

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    Global Dietary Habits in Relation to Adult Obesity
    With global obesity rates continually increasing, an analysis of the relationship between dietary patterns and global obesity rates was performed with datasets representing sugar consumption,...

    Keywords: dietglobal healthObesity

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    2014-Vance-Eads-Sensitivity Analysis of a Three-Species Nonlinear Response Omnivory Model with Predator Stage Structure
    We investigate a three-species nonlinear response omnivory model incorporating stage structure in the top predator. The model consists of four coupled ordinary differential equations involving...

    Keywords: stage structuresensitivity analysismortalityomnivoreomnivory modelsearch rates

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    1-041-AirToTop-ModelingScenario
    One common rule taught to SCUBA divers is to ascend no faster than thirty feet per minute. In this project we will examine safe variable ascent rates, time required for a safe ascent using variable...

    Keywords: SCUBAascentair managementbreathingdivingunderwater

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    Diseasebots
    This module explores the effects of host density on contact rates and transmission of pathogens or mutualist symbionts using a hands-on simulation, a computer agent-based model in NetLogo, and an...

    Keywords: NetLogoDisease ecologydensity dependenceSpreadsheethost-parasitemutualismOpen-inquiry group projectsmanipulative models (‘beanbag biology’)plotting

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    Transpiration
    In this lab, students will examine differences between C3 and C4 plants in their transpiration rates.

    Keywords: plant physiologybotanylaboratoryResource Type

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    Human population growth case study
    A case study on human population growth that includes Human-Environment Interactions (HEI) from the Ecological Society of America's 4 dimensional ecology teaching framework. Meant to be used in...

    Keywords: exponential growthlogistic growthhuman-environmental interactions

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    2015-Heiko_Enderling-Integrating experimental data to calibrate quantitative cancer models
    For quantitative cancer models to be meaningful and interpretable the number of unknown parameters must be kept minimal. We focus on a tumor hierarchy of cancer stem and progenitor non-stem cancer...

    Keywords: cancertumorfittingagent-based

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    Aquatic Macroinvertebrates and Urbanization: Exploring urbanization’s effect on leaf litter decomposition in six streams of Puerto Rico using R
    Urbanization effects stream ecosystems by introducing pollutants to the streams.. This has detrimental effects on the life of the streams such as the aquatic macroinvertebrates who are in charge of...

    Keywords: aquatic macroinvertebratesStream ecologyurbanizationsurban runoff

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    Plate Tectonics: GPS Data, Boundary Zones, and Earthquake Hazards (Project EDDIE)
    Students work with high precision GPS data to explore how motion near a plate boundary is distributed over a larger region and hypothesize the area over which boundary-related earthquake hazards...
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    Diffusion Through a Cell Membrane
    This module introduces rates of diffusion in the context of understanding simple and facilitated diffusion through the cell membrane. It is intended for an introductory biology audience.

    Keywords: linear equationscalculushyperbolic equationsCellular Processesrates of change

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    Quantitative Cytological Characteristics: Photorespiration
    This module introduces quantitative cytological characteristics in the context of understanding cell behavior under stress. It is intended for an introductory biology audience.

    Keywords: plant physiologyRatioschart

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    1-132-DigoxinElimination-ModelingScenario
    We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study...

    Keywords: nullclinespharmacokineticsdigoxindrug eliminationtwo compartment

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    3-061-ChemEngApps-ModelingScenario
    Students go through a chemical engineering problem: calculate concentration profile of cyclohexane within a catalyst pellet by solving a second order linear differential equation; then analyze the...

    Keywords: Spanishporous mediumcatalyisiscyclohexenehydrogeldehydrogenationhyperbolic trig functions

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    CYTOSKELETON - Microtubule Dynamics in the Cell Cycle
    This module contains exercises designed to help upper-level cell biology students understand the dynamics of microtubule polymerization and depolymerization within the cell cycle and how cancer...

    Keywords: cell biologyQuantitative reasoningInterdisciplinary STEMInterpreting GraphsCytoskeletonScientific reasoningdimensional analysisNIQBC2. Data and GraphsC6. Quantitative LanguageC1. Numeracy

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    1-044-CollegeBound-ModelingScenario
    Preparing for four years of college for a friend of the family's newborn is the task. Making assumptions about costs, timing, interest rates, and fiscal capabilities are the order of the day.

    Keywords: interest ratecollege savingtuitionroom and board

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    Phylogeography Simulator
    This Excel workbook simulates the phylogeography of an asexually reproducing species.

    Keywords: Phylogeographymutation ratesAsexual reproductionspecies dispersal

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