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.
    122

    views

    43

    downloads

    0

    comments

    0

    adaptations

    Fitting Exponential and Logistic Growth Models to Bacterial Cell Count Data
    In this activity, students will model a noisy set of bacterial cell count data using both exponential and logistic growth models. For each model the students will plot the data (or a linear...
    1802

    views

    2309

    downloads

    1

    comments

    0

    adaptations

    1-066-USCensusModeling-ModelingScenario
    The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions.
    215

    views

    159

    downloads

    0

    comments

    0

    adaptations

    1-143-PopulationModelVariationsMATLAB-ModelingScenario
    Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models.
    233

    views

    103

    downloads

    0

    comments

    0

    adaptations

    Uninhibited Growth of Cells
    In this activity, students will explore the concept of binary fission, generation time, and bacterial growth curves, with an emphasis on the log phase. Students will use semi-log graphs and linear...
    848

    views

    1125

    downloads

    0

    comments

    0

    adaptations

    Island Biogeography
    This Excel workbook demonstrates the principles of the MacArthur-Wilson theory of Island Biogeography. It allows the user to define the mainland species pool, area of the island, and distance of...
    7

    views

    0

    downloads

    0

    comments

    0

    adaptations

    Graphing bacterial growth rates: semi-log graphs v linear graphs
    In this activity, students will explore the concept of binary fission, generation time, and bacterial growth curves, with an emphasis on the log phase. Students will use semi-log graphs and linear...
    2822

    views

    2804

    downloads

    0

    comments

    1

    adaptations

    4-065-GasInjection-ModelingScenario
    Students use programs (or create their own code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest...
    195

    views

    77

    downloads

    0

    comments

    0

    adaptations

    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...
    594

    views

    658

    downloads

    0

    comments

    0

    adaptations

    2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
    The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous...
    233

    views

    39

    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...
    6

    views

    0

    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.
    780

    views

    155

    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...
    741

    views

    133

    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
    1199

    views

    184

    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...
    249

    views

    361

    downloads

    0

    comments

    0

    adaptations

    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...
    492

    views

    200

    downloads

    0

    comments

    0

    adaptations

    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.
    129

    views

    37

    downloads

    0

    comments

    0

    adaptations

    2010-Singh-Mishra-athematical modeling approach to study growth rate of grassroots technological innovations
    In this paper we have proposed a simple mathematical model by using ordinary differential equation to know the spread rate of technological innovations in rural India.
    127

    views

    35

    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...
    130

    views

    33

    downloads

    0

    comments

    0

    adaptations

    5-010-MatrixExponential-TechniqueNarrative
    The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick...
    765

    views

    176

    downloads

    0

    comments

    0

    adaptations