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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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    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-Hrydziuszko-EtAl-Mathematical Two-compartment Model of Human Cholesterol Transport
    We develop a two-compartment mathematical model to investigate cholesterol transport in the circulatory system and its de novo synthesis in the liver.

    Keywords: metabolic syndromecompartmentcholesteroltwo-compartment modelcholesterol transport

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    2013-Gonzalez_Parra-Arenas-Mathematical Model for Social Security Systems with Dynamical Systems
    In this paper it is proposed a mathematical approach based on dynamic systems to study the effect of the increase in the Social Security normal retirement age on the worker and on the dynamics of...

    Keywords: dynamical systemsretirement modelSocial Security

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    2013-Clarke-Skirba-Rationale and resources for teaching the mathematical modeling of athletic training and performance
    It is advisable that the professionals involved learn the various tools available for designing effective training programs.

    Keywords: fitnessexercise physiologycritical power modelBanister impulse-response modelcoaching educationphysical fitnessperformance modeling

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    2012-Yuan_Yuan-A coupled plankton system with instantaneous and delayed predation
    We present two simple plankton population models: one has instantaneous predation, another has delayed predation.

    Keywords: phytoplanktonbifurcationorbitsherbivorous zooplanktoneffect of fishmaturation time delay

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    2011-Radouane_Yafia-A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System
    In this paper, we present a competition model of malignant tumor growth that includes the immune system response. The model considers two populations: immune system (effector cells) and population...

    Keywords: Immunologytumorhopf bifrucation

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    2011-Lucas_Pulley-Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations
    This research focused on applying biological mathematics to analyzing predation relationships, especially the relationship between the Canadian Lynx and the Snowshoe Hare.

    Keywords: simulationpredator-preyLotka-VolterrapopulationCanadian LynxSnowshoe Harecritical values

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    2010-Soetaert-EtAl-Solving Differential Equations in Rd SIMIODE Draft (5)
    Here we give a brief overview of differential equations that can now be solved by R.

    Keywords: solving

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    2010-Shianga-EtAl-Computational model of the human glucose-insulin regulatory system
    A computational model of insulin secretion and glucose metabolism for assisting the diagnosis of diabetes mellitus in clinical research is introduced. The

    Keywords: glucose tolerance testsum of squared residualsmultiple shooting methodcost function

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    2009-Noakes-Sleigh-Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards
    Understanding the risk of airborne transmission can provide important information for designing safe healthcare environments with an appropriate level of environmental control for mitigating risks.

    Keywords: infectioncompartmenthospitalventilationairbornesthochasticWells–Riley

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    2008-William_Revelle-Cues Tendencies and Actions-The Dynamics of Action Revisited
    This article describes a reparameterization of the original theory of dynamics of action and applies the power of simple modeling to the study of action, emotions, and social behavior.

    Keywords: psychologytask referenceachievement motivationdynamics of action

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    2008-Ribbing-EtAl-Mathematical models of diabetes progression
    Writing a good model for diabetes progression is difficult because the long time span of the disease makes experimental verification of modeling hypotheses extremely awkward. underlying the

    Keywords: physiologyclinical trialsdiabetesdiabetes progression

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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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    2007-Zenker-Rubin-Clermont-From inverse problems in mathematical physiology to quantitative differential diagnoses
    The improved capacity to acquire quantitative data in a clinical setting has generally failed to improve outcomes in acutely ill patients, suggesting a need for advances in computer-supported data...

    Keywords: physiologyinverse problem

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    2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
    In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in...

    Keywords: population dynamicsecologydynamicsclassical mechanicschemical reaction

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    2007-Exben_Friis-Jensen-Modeling and Simulation of Glucose-Insulin Metabolism
    In this thesis one of the models of diabetes, Bergman’s minimal model is described trough derivation and simulations.

    Keywords: Metabolisminsulin resistanceglucosePID controllerintolerance

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    2006-TK_Kar-Controllability and optimal harvesting of a prey–predator model incorporating a prey refuge
    This paper deals with a prey–predator model incorporating a prey refuge and harvesting of the predator species.

    Keywords: survivalpredator-preyharvestrefugePontryagin’s maximal principlehidingoptimal harvest

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    2006-Salem-Abudiab-Labview-An Interactive Teaching Tool for a Differential Equations Class
    It is evident that computer based learning has become an essential part of education systems. It provides animation and interactive processes that are not possible with textbooks.

    Keywords: javavisualizationvirtual labpendulumLabviecomputer assisted instructionharmonic motion

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    2006-Cooke-Elderkin-Huang-Predator-Prey interactions with delays due to juvenile maturation
    This paper focuses on predator-prey models with juvenile/mature class structure for each of the predator and prey populations in turn, further classified by whether juvenile or mature individuals...

    Keywords: predator-preyhost-parasitebifurcationage structrematuration delay

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