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    2014-Enderling-Chaplain-Mathematical Modeling of Tumor Growth and Treatment
    Herein we describe fundamentals of mathematical modeling of tumor growth and tumor-host interactions, and summarize some of the seminal and most prominent approaches.

    Keywords: cancertumor modelingangiogenesistumor growthpatient care

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    2019-Ekici_Plyley. Inquiry-Based_Modeling_of_Population_Dynamics_With_Logistic_Differential_and_Difference_Equations
    Inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors.

    Keywords: population dynamicslogisticInquiry-based modelingIBL

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    1-081-TumorGrowth-ModelingScenario
    Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor...

    Keywords: logisticpopulationtumorGompertz

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    2014-Andre_De Ross-Modeling Population Dynamics
    This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.

    Keywords: predator-preycompetitionpopulationgrowthbifrucationtext

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    Population dynamics in simple two-species experimental microcosms
    A two-week exercise which includes homework calculations and teaching resources. Students establish brine shrimp and Platymonas algal cultures and predict final densities.

    Keywords: population dynamicsecologyspecies interactionsbotanyecosystemsfood chainpopulation regulation

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    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.

    Keywords: exponential equationsGenetic Informationlogarithmic equationshalf-lifemRNA

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    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

    Keywords: linear equationsCell StructureCell GrowthCytoplasmic Viscosity

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    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...

    Keywords: exponential equationsCell StructureCell Growth

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    2011-Lorelei_Koss-Sustainability_in_a_differential_equations_course_case_study_of_Easter_Island
    Easter Island is a fascinating example of resource depletion and population collapse, and its relatively short period of human habitation combined with its isolation lends itself well to...

    Keywords: differential equationssustainabilitypopulationEaster Islandcollapseenvironmental collapse

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    1-021-FeralCatControl-ModelingScenario
    Students act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use of...

    Keywords: population growthcontrolferal catspopulation controlneutertrap-killtrap-neuter-return

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    1-018-LogisticPopModel-ModelingScenario
    We offer artificial (toy) and historical data on limited growth population situations in the study of protozoa and lead students through several approaches to estimating parameters and determining...

    Keywords: data analysisparameter estimationlogisticCiliate protozoapopulationlimited growthparameciaGause

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    1-038-Ebola-ModelingScenario
    Students will use data published by the World Health Organization to model the 2014 outbreak of the Ebola virus in West Africa. We begin with a simple exponential growth model and move through the...

    Keywords: population dynamicsdata analysisexponential growthEbolalogisticepidemic

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    Mitotic Index and Cell Division
    This module introduces the mitotic index in the context of understanding the dynamics of cell division in the root of a plant. It is intended for an introductory biology audience.

    Keywords: RatiosCell StructureCell GrowthchartCell DivisionMitotic Index

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    2008-Jai-Li-Differential equations models for interacting wild and transgenic mosquito populations
    We formulate and study continuous-time models, based on systems of ordinary differential equations, for interacting wild and transgenic mosquito populations.

    Keywords: Mosquito borne diseasespopulationsHolling-II-type mating ratestransgenic mosquitoesnonhyperbolic equilibriummosquitoes

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    2012-José_Sérgio_Domingues-Gompertz Model - Resolution and Analysis for Tumors
    The main objective of this paper is to use the Gompertz equation in order to study the development of blood irrigated solid tumors, using parameters defined in some important bibliographic...

    Keywords: tumorGompertz equationgrowth tumor

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    2018-Banerjee-EtAl-Prey-Predator Model with a Nonlocal Bistable Dynamics of Prey
    The primary goal of our present work is to consider nonlocal consumption of resources in a spatiotemporal prey-predator model with bistable reaction kinetics for prey growth in the absence of...

    Keywords: predator-preynonlocal consumptionTuring bifurcationspatial Hopf bifurcationspatio-temporal patternprey growth

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    1975-David_Burghes-Population dynamics An introduction to differential equations
    In this paper a number of population models, which lead to differential equations, are derived. First-order variables separable equations are formulated from the Malthusian population model and its...

    Keywords: fishpredator-preylogisticpopulationdelaylag

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    1-119-DairyFarming-ModelingScenario
    A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This...

    Keywords: population dynamicsdairyfarmers' marketsgrowthcow

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    1-135-FishHarvesting-ModelingScenario
    This short activity will walk students through a guided list of questions to help them to understand how the stability of equilibrium changes with changes in a model parameter, in this case the...

    Keywords: population dynamicsfishstabilitybifurcationharvest

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    Diseasebots
    This module explores the effects of host density on contact rates and transmission of pathogens or mutualist symbionts using a hands-on simulation, a computer agent-based model in NetLogo, and an...

    Keywords: NetLogoDisease ecologydensity dependenceSpreadsheethost-parasitemutualismOpen-inquiry group projectsmanipulative models (‘beanbag biology’)plotting

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