Text Search:
Applied Filters
    Exploring Primary Scientific Literature through the Lens of the 5 Core Concepts of Biology
    Biology students at the undergraduate level usually excel in knowing biological facts; however, they often struggle with connecting these facts to specific biological principles. In parallel,...
    1599

    views

    297

    downloads

    0

    comments

    0

    adaptations

    The Great Petunia Carnage of 2017: A Clicker Case Study Using Petunias to Describe the Effect of Genetic Modification on the Biochemistry of Flower Color and Phenotype in Plants
    In this single class period case study, students examine the difference between genotype and phenotype by studying the mechanisms by which commercially available petunias have been bred to have...
    1027

    views

    9

    downloads

    0

    comments

    0

    adaptations

    1-057-FiguringFluidFlow-ModelingScenario
    We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which...
    206

    views

    126

    downloads

    0

    comments

    0

    adaptations

    Tension in Blood Vessels: LaPlace's Equation
    This module introduces Laplace's equation in the context of understanding tension in the walls of blood vessels. It is intended for an introductory biology audience.
    965

    views

    200

    downloads

    0

    comments

    0

    adaptations

    Nuclear and Cytoplasmic Viscosity
    This module introduces a modified Stokes-Einstein equation in the context of understanding the difference in viscosity between the nucleus and cytoplasm of cells
    793

    views

    138

    downloads

    0

    comments

    0

    adaptations

    1999-PS_Crooke-S_Hota_JJ_Martini-JR_Hochkiss-A Mathematical Model for Carbon Dioxide Exchange
    A mathematical model is presented to study the effect of Tracheal Gas Insufflation (TGI) on the alveolar ventilation during passive, mechanical ventilation.
    93

    views

    31

    downloads

    0

    comments

    0

    adaptations

    1975-DH_Griffel-Teaching the formation and solution of differential equations
    This paper raises many interesting questions about teaching the formation (and solution) of differential equations, i.e. modeling with differential equations.
    137

    views

    41

    downloads

    0

    comments

    0

    adaptations

    1-029-ConeToCubeFlow-ModelingScenario
    An inverted right circular cone with a hole at the bottom is suspended above an open-topped cube which also has a hole in the center of the bottom. The cone is filled with water and we model...
    322

    views

    209

    downloads

    0

    comments

    0

    adaptations

    1-073-WaterExitBottle-ModelingScenario
    We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow out of a cylindrical container.
    227

    views

    114

    downloads

    0

    comments

    0

    adaptations

    Agent-Based Modeling Course Materials
    Materials created for an upper level ABM course. Prerequisite: Students have taken either (a) another modeling course, or (b) the introductory computer science sequence.
    1828

    views

    1854

    downloads

    0

    comments

    0

    adaptations

    2000-deOlivera-Delfino-Costa-Leite-Pinhole Water Flow From Cylindrical Bottles
    The water flowing from the first bottle feeds the second one located below it. The same concepts of mass and energy conservation now lead to a non-trivial differential equation for the lowest...
    98

    views

    29

    downloads

    0

    comments

    0

    adaptations

    1-074-BottleWaterFlow-ModelingScenario
    We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow.
    208

    views

    133

    downloads

    0

    comments

    0

    adaptations

    6-012-RiverCrossing-ModelingScenario
    Students develop a model of a river crossing in a boat with thrust using Newton's Second Law of Motion from a Free Body Diagram they construct. The model is thence a system of one second order...
    206

    views

    113

    downloads

    0

    comments

    0

    adaptations

    7-010-MultipleDoses-ModelingScenario
    Two multiple dose drug administration regimens are offered. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus...
    254

    views

    199

    downloads

    0

    comments

    0

    adaptations

    1-015-Torricelli-ModelingScenario
    We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the...
    351

    views

    814

    downloads

    0

    comments

    0

    adaptations

    2006-Han-EtAl-Ordinary differential equation models for ethanol pharmacokinetic based on anatomy and physiology
    Physiologically-based pharmacokinetic (PBPK) models have been used to describe the distribution and elimination characteristics of intravenous ethanol administration.
    109

    views

    34

    downloads

    0

    comments

    0

    adaptations

    2005-Saifullah-Mathematical Modeling With Differential Equations
    This article aims to provide the students some basic modeling skills, which will have applications to a wide variety of problems.
    117

    views

    50

    downloads

    0

    comments

    0

    adaptations

    1-014-DrainingContainers
    Given two rectangular circular cylinders of water with the same volume, but different radii, with a small bore hole of same radius on the center of the bottom through which water exits the...
    230

    views

    107

    downloads

    0

    comments

    0

    adaptations

    1-064-TorricelliBox-ModelingScenario
    The time it takes a column of water to empty and the time it takes the same volume of column of water with a box (various sizes) submerged in the column of water are compared through modeling with...
    207

    views

    109

    downloads

    0

    comments

    0

    adaptations

    5-022-ColdPill-ModelingScenario
    A model for the flow of a cold pill drug through the gastrointestinal compartment to the bloodstream compartment of a human subject is proposed. Students solve the system of differential equation...
    236

    views

    120

    downloads

    0

    comments

    0

    adaptations