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    Does Organelle Shape Matter?: Exploring Patterns in Cell Shape and Structure with High-Throughput (HT) Imaging
    Organelle structure has been studied and visualized for decades; however, publicly available databases that use improved high-throughput microscopy of gene-edited cell lines have recently...

    Keywords: modelingcase studymicroscopystructureOrganellesHigh-throughput (HT)Endoplasmic Reticulum (ER)Fluorescent microscopyHuman Cell Biology

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    Online Adaptation of the Cell Engineer/Detective Lesson
    One of the most fundamental themes of biology is the relationship between structure and function, which is particularly evident when it comes to cells; however, the traditional cartoon depictions...

    Keywords: cell functionCell StructureOrganelles

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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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    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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    QUBES: Building a community to promote undergraduate quantitative biology education
    QUBES is designed to improve communication among educators, assist faculty in understanding and implementing novel content and teaching strategies in their classrooms, and create an academic reward...

    Keywords: QUBES

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    2020-TeachingModule-GeometricBehaviorOfLinearSysteModeling
    This module concentrates on the geometric properties of a system of 2 linear, homogeneous first order differential equations in 2 variables as dictated by the corresponding eigenvalues. Students...

    Keywords: modulelinear systemsdigoxinTeaching Module

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    2023-Roberto_Camassaa-Richard_McLaughlina-Tauberian identities and the connection to Wile E Coyote physics
    The application of the motion of a vertically suspended mass-spring system released under tension is studied focusing upon the delay timescale for the bottom mass as a function of the spring...

    Keywords: HangtimeTauberian IdentitiesRoad RunnerWile E. Coyote

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    2016-Starling-EtAl-Local Brewery - A Project for Use in Differential Equations Courses
    We describe a modeling project designed for an ordinary differential equations (ODEs) course using first-order and systems of first-order differential equations to model the fermentation process in...

    Keywords: BEERFermentationbrewery

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    2009-Marten-EtAl-Derivation and analysis of an ordinary differential equation for epilepsy dynamics
    In this paper we describe how an ordinary differential equation model of corticothalamic interactions may be obtained from a more general system of delay differential equations.

    Keywords: delayepilepsy dynamicsepilepsybistabilityseizure activity

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    2009-Das-EtAl-Bioeconomic harvesting of a pre-predator fishery
    This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis.

    Keywords: predator-preyharvestingPontryagin’s maximum principlebioeconomicbionomic equilibriumbiotechnical productivitycatch-rate functionoptimal equilibrium

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    2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge
    We present an agent-based model which does not require the factors or constraints of previous models to reproduce all six patterns in persistent populations.

    Keywords: Individual & Agent Based Modelingpredator-preythink-pair-shareslynxrefugeprey switchingMustela-Clethrionomys systempatter oriented

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    5-002-RelationshipDynamics-ModelingScenario
    The different possible dynamics of a two-person romantic relationship are modeled -- as a linear two dimensional system of equations -- and analyzed.

    Keywords: love affairRomeo and Juliet

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    Antigen presentation and cytotoxic T lymphocytes (CTLs): elucidating a common roadblock for students
    Active learning resource for pre-Nursing anatomy and physiology lecture explaining antigen presentation to CTLs and how the CTLs recognize and destroy the pathogen using Biointeractive animations...

    Keywords: Resources @ HHMI - BioInteractiveimmune systemAnatomy & PhysiologyCell communication

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    Draft Version: Energy Balance Models
    This module introduces the student to the process of mathematical modeling.

    Keywords: modulemathematical modelingbenergy balanceclimate modelDIMACSResources @ DIMACSclimatein-class activityResources @ QUBES - Teaching & Referencescienceexperiment

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    R for biologists
    An introductory guide to data analysis in R for life sciences researchers.

    Keywords: R

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    Using Musical Instruments to Model Negative Feedback in the Hypothalamo-Pituitary-Target Gland Axes
    Homeostasis and negative feedback are crucial, yet difficult, concepts for undergraduates, particularly in the context of the hypothalamo-pituitary axes. This interactive activity was designed to...

    Keywords: cell-cell communicationhomeostasisnegative feedback

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    2016-Devaki-Swathi-System of Differential Equations in Prey Predator Model
    Predation relationship exists in ecological niches throughout the world. This is the species interaction which will be mathematically analyzed and embodied in this work.

    Keywords: extinctionCoevolutionpredatorLotka Volterra equationspre

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    2015-Joshi-EtAl-Optimal control of an SIR model with changing behavior through an education campaign
    We study stability analysis and use optimal control theory on the system of differential equations to achieve the goal of minimizing the infected population (while minimizing the cost).

    Keywords: SIR modelsvaccinepopulationwater treatmentsusceptibleeducation campaignminimizing costinfected

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    2015-Beckmann-Sanchez-Cache Calculus-Modeling Caches through Differential Equations
    We present cache calculus, a technique that models cache behavior as a system of ordinary differential equations, letting standard calculus techniques find simple and accurate solutions of cache...

    Keywords: discretecachecache calculus

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    2014-Rogert_Smith-Mathematical Modeling of Zombies
    Here, we use diffusion to model the zombie population shuffling randomly over a one-dimensional domain.

    Keywords: kineticsZombiezombificationinteraction times

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