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    2018-LA_Peletier-Ordinary Differential Equations in Pharmacodynamics
    Good mix of theory, application, solution technique in a number of areas of applications of differential equations. Develops qualitative behavior issues. Exercises, but not about models, more about...

    Keywords: compartment modelpharmacokineticspharmacodynamicsorbitsturnover

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    2018-Adeniji-EtAl-InverseProblemHolling-TannerModel
    We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of...

    Keywords: goal functionabsolute error curvesinvers methodholling-Tanner model

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    2017-Suebcharoen-Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
    This paper studies the behavior of a predator-prey model with switching and stage-structure for predator.

    Keywords: stage structurepredatorpreybifurcationswitching

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    2017-Fred_Adler-Mathematically Modeling Asthma
    Our Asthma models have examined how a viral infection can tip the immune system into a different state, with the potential to predispose an individual to future asthma

    Keywords: infectionasthmaimmune responserhinovirus

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    2017-David_Morin-Oscillations
    So needless to say, an understanding of oscillations is required for an understanding of waves.

    Keywords: dampingfrequency responseresonanceoscillationbeatsunderdampingharmonic oscillatorsover dampingcritical damping

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    2017-Bonin-EtAl-Mathematical modeling based on ordinary differential equations - promising approach to vaccinology
    As a proof of concept, we developed a model of the immune response to vaccination against the yellow fever. Our simulations have shown consistent results when compared with experimental data...

    Keywords: immune systemyellow fevercomputational immunologycomputational vaccinology

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    2017-Allali-EtAl-Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection
    The aim of this paper is to study the early stage of HBV infection and impact delay in the infection process on the adaptive immune response, which includes cytotoxic T-lymphocytes and antibodies.

    Keywords: logisticHBV infectionadaptive immunie responseT-lymphocytes

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    2017-Agmour-EtAl-Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
    The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable...

    Keywords: FishingharvestNash equilibriumoptimizeprofits

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    2017-Adolfo_Rumbos-Differential Equations and modeling
    The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a...

    Keywords: pendulumLotka Volterra equationsexistenceuniqueness

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    2016-Mehmet_Pakdemirli-Mathematical design of a highway exit curve
    Using fundamental principles of physics and calculus, the differential equation determining the curve function is derived.

    Keywords: kinematicscurve designhighway exittangential acceleration

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    2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
    Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide...

    Keywords: infectious diseasepVector-Borne Diseaselagueplague

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    2016-Bonin-EtAl-Mathematical modeling based on ordinary differential equations-vaccinology
    We developed a model of the immune response to vaccination against the yellow fever. Our simulations have shown consistent results when compared with experimental data available in the literature.

    Keywords: Immunologyimmune systemAntigenvaccinologyyellow fever

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    2016-Banks-EtAl-Modeling Bumble Bee Population Dynamics with Delay Differential Equations
    To provide a tool for projecting and testing sensitivity of growth of populations under contrasting and combined pressures, we propose a delay differential equation model that describes...

    Keywords: population modelReproductionspline approximationsBombus terrestrisneonicotinoidsbumble bee

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    2015-The European Bioinformatics Institute-BioModels Database
    BioModels Database is a repository of computational models of biological processes. Models described from literature are manually curated and enriched with cross-references.

    Keywords: computational biologyBioModels Databasebio databaselife science experiments

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    2015-Dios-EtAl-How Engineers deal with Mathematics solving Differential Equations
    The students of fourth course, of the bachelor’s degree in Computer Sciences or Industrial Engineering at the University of Salamanca (Spain), they learn mathematics solving real problems with the...

    Keywords: assessmentengineering educationSimulink

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    2015-Boggess-EtAl-Mathematical Modeling in Ecology - Simulating the Reintroduction of the Extinct Passenger Pigeon
    To determine under which conditions a Passenger Pigeon could survive a reintroduction into a natural habitat, we used two types of models.

    Keywords: simulationagent-based modelingallee_effectPassenger Pigeonsforest envirnomentHolling Type III functional responseBio-energeticstree distributions

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    2014-Wang-EtAl-Estimating Mixed-Effects Differential Equation Models
    When multiple replicates of measurements are available for the dynamic process, it is of great interest to estimate mixed-effects in the ODE model for the process. We propose a semiparametric...

    Keywords: pharmacokineticsdynamic modelssmoothingsplinemixed-effects modelsHiV combination therapy

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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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    2014-Michael_Monagan-The Mortgage Payment Problem Approximating a Discrete Process with a Differential Equation
    In this article and a subsequent article I will give two non-standard examples that I've found helpful. The one presented here is a first order linear system. Second order systems and non-linear...

    Keywords: compartmentheatinghouse

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    2014-Eckhoff-EtAl-Fun with maths-exploring implications of mathematical models for malaria eradication
    . In this note, four examples demonstrate both the effects of model structures and assumptions and also the benefits of using a diversity of model approaches fomalaria eradication strategies.

    Keywords: vaccinemalariamigrationeradicationseasonality

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