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    1999-T_Chen-HL_He-GM_Church-S_Shafer-Modeling Gene Expression with Differential Equations
    The paper proposes and give great detail for a differential equation model for gene expression with two methods for constructing the model from a set of temporal data.

    Keywords: gene expressiongenekineticgene translationgene transcription

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    1988-Michael Intriligator-Dagobert Brito-A Predator-Prey Model of Guerrilla Warfare
    The authors present a three variable: numbers of guerrillas, numbers of regular (government) soldiers, and size of population controlled by the guerrillas, at time t), nonlinear system of three...

    Keywords: combat modelguerrilla warfaregovernment

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    2018-Dyjuan_Tatro-The_Mathematics_of_Cancer-Fitting_Gompertz_Equation_to_Tumor_Growth
    Fitting the Gompertz Model to long term breast cancer study data, this project ascertains gompertzian parameters that can be used to predicts tumor growth as a function of time.

    Keywords: tumorgrowthGompertzfittingparameter

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    1-093-SucroseReaction-ModelingScenario
    We offer data on the hydrolysis of sucrose in the presence of catalyst sucrase. We present students with several models and ask which model is best. We ask students to estimate parameters for the...

    Keywords: kineticsMichaelis-Mentenhydrolysisreactionsucrose

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    Hardy-Weinberg Equilibrium
    This module introduces the Hardy-Weinberg model in the context of understanding the population's genotype and allele frequencies. It is intended for an introductory biology audience.

    Keywords: genotypeallelesGenetics and EvolutionFrequenciesHardy-Weinberg model

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    Predator-Prey Dynamics: the Lotka-Volterra Model
    This module introduces the Lotka-Volterra model in the context of understanding how predator and prey interact. It is intended for an introductory biology audience.

    Keywords: differential equationsecologypredatory-prey modelLotka-Volterrapredator-prey interactions

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    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.

    Keywords: Mathematical Biologycalculusexponential decayrecursionabsorptionelimination

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    Using computational molecular modeling software to demonstrate how DNA mutations cause phenotypes
    This lesson is a five-week series of laboratory activities designed to help students transition from applying lower order thinking skills to the central dogma to applying higher-order thinking skills.

    Keywords: bioinformaticsNIBLSEProtein StructureDNAmolecular modelinggenotypephenotypeCourseSourcecomputational modelingcentral dogmaplant leaf structure

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    COVID-19 Spread NetLogo ABM
    This project aimed to utilize agent-based modeling in NetLogo to create a simulation of COVID-19 spread in a traditional college classroom. The model allows for an evaluation of different...

    Keywords: classroomNetLogoagent-based modelingdisease prevention

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    2012-Gilbert_Koch-Modeling of Pharmacokinetic and Pharmacodynamics of Cancer and Arthritis
    In this work we develop preclinical PKPD models based on fundamental biological and pharmacological principles. Equipped with a PKPD model, different dosing schedules could be simulated.

    Keywords: cancerpharmacodynamicsPKPD modelarthritisPharmacokineticanticancer

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    2011-Nguyen-Shi-Modeling the absorption circulation and metabolism of tirapazamine
    This apparently is a student project and it develops the kinetic model, uses Matlab for numerical solution, analytic solution and numerical solution.

    Keywords: absorptionMichaelis-MentenMetabolismdrug metabolismcirculation

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    2005-Albert_Tarantola-Inverse Problem Theory and Methods for Model Parameter Estimation
    This is a bible of approaches to support parameter estimation approaches in inverse problems. Theory and algorithms are offers with examples.

    Keywords: Algorithminverse probleminverse

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    Using Open-Source Bioinformatics and Visualization Tools to Explore the Structure and Function of SARS-CoV-2 Spike Protein
    The relationship between protein structure and function is a foundational concept in undergraduate biochemistry. We find this theme is best presented with assignments that encourage exploration and...

    Keywords: bioinformaticsmolecular modelingCOVID19protein structure and functionUCSF ChimeraSARS-CoV-2 spike proteinACE2 receptor

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    Harnessing the Power of the Immune System: Influenza Vaccines
    Because most people have been infected by and/or immunized against influenza, students should know how the immune system responds to the infection and how vaccines protect against disease. Vaccines...

    Keywords: VaccinesInfluenzaImmunizationVaccine efficacy

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    2017-Biswasa-EtAl-Mathematical Modeling Applied to Sustainable Management of Marine Resources
    We study a nonlinear mathematical model of fishery management to understand dynamics of a fishery resource system in an aquatic environment that consists of two zones; one free fishing zone and...

    Keywords: natural resourcesmarine resourcesfishery model

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    2015-Zhang-EtAl-On the Selection of ODE Models with Application to Predator-Prey Dynamical Models
    We propose a computationally inexpensive approach that employs statistical estimation of the full model, followed by a combination of a least squares approximation (LSA) and the adaptive Lasso.

    Keywords: least-squares approximationSpline modelingMonte Carlo simulationsvariable selectionadaptive LASSO

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    2012-Rusinko-Swan-Agent-Based Fabric Modeling Using Differential Equations
    We use an agent-based modeling software, NetLogo, to simulate fabric drape by applying a modified mass spring system.

    Keywords: NetLogospring massagent-baseddrapingyarnfabric

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    2007-Choisy-Guégan-Rohani-Mathematical Modeling of Infectious Diseases Dynamics
    After presenting general notions of mathematical modeling (Section 22.2) and the nature of epidemiological data available to the modeler (Section 22.3), we detail the very basic SIR epidemiological...

    Keywords: stochasticSIR modeldeterministicincubationinfectives

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    2006-Ousmane_Mousa_Tessa-Mathematical model for control of measles by vaccination
    In this article, we use a compartmental mathematical model of the dynamics of measles spread within a population with variable size to provide this framework.

    Keywords: vaccinationcompartmentherd immunitymeaslesoptimal strategy

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    1-125-DiceyPopulation-ModelingScenario
    We offer students an opportunity to generate data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis with a...

    Keywords: simulationimmigrationdeathdice

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