Text Search:
Applied Filters
    2013-Michael-Evans-Growth and Decay
    Sometimes, we can describe processes of growth and decay—whether physical, chemical, biological or sociological—by mathematical models.
    131

    views

    65

    downloads

    0

    comments

    0

    adaptations

    2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
    We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a...
    147

    views

    40

    downloads

    0

    comments

    0

    adaptations

    Half Life of mRNA
    This module introduces exponential growth and decay in the context of understanding the stability of mRNA. It is intended for an introductory biology audience.
    829

    views

    175

    downloads

    0

    comments

    0

    adaptations

    Nucleo-cytoplasmic Transport
    This module introduces exponential decay and the rate of influx in the context of understanding the transport of molecules from the cytoplasm to the nucleus. It is intended for an introductory...
    790

    views

    149

    downloads

    0

    comments

    0

    adaptations

    1-002-Tossing-ModelingScenario
    We offer students simulation experience or data from a simulation and ask them to model the simulation using several approaches, to include exponential decay fit, difference equation, and...
    235

    views

    262

    downloads

    0

    comments

    0

    adaptations

    Teaching Exponential and Logistic Growth in a Variety of Classroom and Laboratory Settings
    Experiment included in Teaching Issues and Experiments in Ecology (TIEE) Volume 9
    1264

    views

    205

    downloads

    0

    comments

    0

    adaptations

    1-035-DotseroVolcanoEruption-ModelingScenario
    In this scenario, we use Carbon-14 dating of the Dotsero volcano in Colorado as a way of emphasizing this multistage process of modeling.
    264

    views

    212

    downloads

    0

    comments

    0

    adaptations

    1-116-TropicalStormWindspeeds-ModelingScenario
    We model the decay of tropical cyclone winds once a storm makes landfall. We use data from two recent storms from the National Hurricane Center to estimate parameters emanating from a differential...
    233

    views

    279

    downloads

    0

    comments

    0

    adaptations

    1-024-MalariaControl-ModelingScenario
    This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations.
    386

    views

    256

    downloads

    0

    comments

    0

    adaptations

    Pain Medication Treatment Modeling Project
    This classroom modeling project applies mathematical techniques to solve a problem related to drug dosage patterns. Suitable for high school or undergraduate students. Prerequisite: Calculus I.
    1837

    views

    505

    downloads

    0

    comments

    0

    adaptations

    1-001d-HotelPopulationDecay-ModelingScenario
    You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel. Before you run the...
    340

    views

    154

    downloads

    0

    comments

    0

    adaptations

    1-150-CancerTherapy-ModelingScenario
    This activity builds upon elementary models on population growth. In particular, we compare two different treatment models of cancer therapy where in one, surgery happens before therapy and in the...
    427

    views

    344

    downloads

    0

    comments

    0

    adaptations

    1-160-HeartDeathRate-ModelingScenario
    Students simulate experience from a given data set which represents the heart death rate during the period 2000 - 2010 using several approaches to include exponential decay, difference equation,...
    241

    views

    315

    downloads

    0

    comments

    0

    adaptations

    Continuous Growth Models
    This Excel worksheet compares user-input growth data with predictions under linear, exponential, and logistic models of growth. Introduces concepts of statistical analysis that can be additionally...
    74

    views

    30

    downloads

    0

    comments

    0

    adaptations

    1-109-EmployeeAttrition-ModelingScenario
    This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a first-order linear decay model with two populations.
    197

    views

    170

    downloads

    0

    comments

    0

    adaptations

    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...
    146

    views

    57

    downloads

    0

    comments

    0

    adaptations

    2017-Ole_Witt-Hansen-Examples Of Differential Equations In Physics
    This is an article from the author’s homepage. The work contains fundamental and basic background and derivation of the differential equation models for a number of phenomena.
    164

    views

    76

    downloads

    0

    comments

    0

    adaptations

    1-170-CensusModeling-ModelingScenario
    Students who have studied models for population are likely to be familiar with the exponential and the logistic population models. The goal here is to explore the role of modeling assumptions in...
    283

    views

    535

    downloads

    0

    comments

    0

    adaptations

    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...
    227

    views

    175

    downloads

    0

    comments

    0

    adaptations