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    3-004-VanderPol-ModelingScenario
    This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a well-known nonlinear second-order ordinary differential equation.

    Keywords: phase planeVan der Pol oscillatorlimit cycleRunge-Kutta methodLienard equation

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    Fitzhugh-Nagumo Model
    The FitzHugh–Nagumo model describes a prototype of an excitable system (e.g., a neuron).

    Keywords: differential equationsmathematical modeldifferential equation modelordinary differential equation modelneuroscienceexcitable

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    2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
    We let the author's Table of Contents speak for itself.

    Keywords: differential equationsmodelingtextbook

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    RESCUE-Net - Developing a Faculty Network in a Biodiversity Hotspot: the Research Experiences in Southern California For Undergraduate Ecologists Network (RCN-UBE Introduction)
    RESCUE-Net is a network of faculty in Southern California dedicated to mentoring undergraduates in conservation research so that they can become the next generation of ecological leaders.

    Keywords: RCN-UBE Introduction

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    2018-Hu-Huang-Dynamic Regulation Responding to an External Stimulus
    This study examines the dynamic regulation process responding to an external stimulus. This study introduces the driven damped oscillator model which has an additional parameter to identify...

    Keywords: dynamical systemsregulationsteady statesales modelexternal stimulus

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    5-015-RunnersSynchronize-ModelingScenario
    In this modeling scenario we practice finding and classifying equilibria of a one-variable differential equation. We do this in the context of a phase model which is often a simpler way of studying...

    Keywords: predatorAutonomous equationsoscillationcoupled oscillatorsynchronyrunnerpreyKuramato model

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    4-050-ResonanceBeats-ModelingScenario
    We study what can happen when a pure oscillator (no damper) is driven by a forced vibration function which has the same or close to the same natural frequency as the system it is driving.

    Keywords: Spring 2020 workshopvibrationtuningdriverresonanceforced vibrationundampedbeatsnaturl frequency

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    Module 3: Transcription, Part II: What Happens to the Initial Transcript Made by RNA pol II?
    This module teaches about the three key steps that are involved in converting the pre-mRNA into a mature mRNA: 1) The addition of a 5’ cap, 2) The addition of a 3’ poly(A) tail, 3) The removal of...

    Keywords: geneticsmolecular biologyGenome BrowsergenomicssplicingmRNAcDNA5' Cap3' Poly(A) TailRNA Maturation

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    1999-Kowalczyk-Hausknecht-Using DEs To Model Real World Data
    With the increasing availability of easy to use interactive differential equation software, we convinced ourselves to completely redesign the way we teach differential equations.

    Keywords: circuitTorricelli's LawHooke's LawRC circuitharmonic oscillatorglucoseglucose tolerance test

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    2009-Shamim-EtAl-Investigating viscous damping using a webcam
    We describe an experiment involving a mass oscillating in a viscous fluid and analyze overdamped, critically damped and underdamped regimes of harmonic motion.

    Keywords: laboratoryunderdampedoverdampedcritically dampedharmonic motionimage processingviscous fluid

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    2003-Givens-Bonfima-Direct observation of normal modes in coupled oscillators
    We propose a simple and inexpensive method to directly observe each normal mode of a system of coupled oscillators, as well as to measure its corresponding frequency, without performing Fourier...

    Keywords: frequencyresonancecoupled oscillator

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    6-075-LorenzSystemSimulation-ModelingScenario
    The Lorenz system is examined by students as a simple model of chaotic behavior or strange attractor. MATLAB code is created to find the numerical solutions of the Lorenz’ system of nonlinear...

    Keywords: chaososcillatorLorenzwaterwheelstrange attractorbifurcation effect

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    3-040-FirstPassageTime-ModelingScenario
    We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first...

    Keywords: oscillatordampedunderdampedfirst passagefirst passage timespring mash dashpot

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    Terrestrial Trophic Cascades & Population Structure
    In this activity, students will use data from natural parks to examine trophic cascades.

    Keywords: case studyBiodiversityplantsResource Typetrophic cascadesnational parks

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    2018-Van_Kinh Nguyen-Esteban_Hernandez-Vargas-Parameter estimation in mathematical models of viral infections using R
    Mathematical modeling has played a central role to understand mechanisms in different viral infectious diseases. In this approach, biological-based hypotheses are expressed via mathematical...

    Keywords: simulationdiseasevirusviral infection

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    2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
    In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.

    Keywords: time seriesregressionresponseimpulseoscillationsignal processingsparse regressionsystem identification

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    Forensic Phylogenetics: Implementing Tree-thinking in a Court of Law
    Here we describe an in-class activity developed for Evolutionary Biology and Biodiversity (BioEE1780) at Cornell University, an introductory course required of all biology majors. This activity...

    Keywords: phylogeneticsTree thinkingparaphyly

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    Serotonin in the Pocket: Non-covalent interactions and neurotransmitter binding
    This lesson introduces beginning biochemistry students to the concept of a biomolecule binding site, such as a neurotransmitter receptor site or an enzyme active site. A simple organic molecule,...

    Keywords: active sitebindingbinding sitehydrogen bondinghydrophobic effectionic interactionsnon-covalent forces

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    An undergraduate bioinformatics curriculum that teaches eukaryotic gene structure
    Gene structure, transcription, translation, and alternative splicing are challenging concepts for many undergraduates studying biology. These topics are typically covered in a traditional lecture...

    Keywords: bioinformaticsGenome BrowsergenomicsRNAseqsplicingComputer ModelGene Structure

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    SKILLS DEVELOPMENT - Toxicology MSDT
    On this website you can find 6 learning modules on various topics in toxicology. These are self-paced student-centered online learning modules. You will receive a certificate of completion at the...

    Keywords: pathophysiologyregulatory toxicologyprinciples of toxicologybiochemistry and molecular geneticsprinciples of genetic toxicologyapplied systems toxicology

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