##### 6-018-ExploringSIRModel-ModelingScenario
Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to...
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##### Using Regression Models to Examine the Effect of Carbon Dioxide on Fluid pH
In this activity students will use statistics and regression models to explore the effects of carbon dioxide on blood pH by measuring pH changes that occur over time as carbon dioxide reacts with...
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##### 1-170-CensusModeling-ModelingScenario
Students who have studied models for population are likely to be familiar with the exponential and the logistic population models. The goal here is to explore the role of modeling assumptions in...
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##### Parabolas Everywhere?
In this lesson students will use mathematical models to describe real-world objects and to gain better understanding of quadratic functions.
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##### Big Data, Graphs, and Prediction
In this activity, students are introduced to graphing and modeling data in a step-wise fashion. Real data of covid-19 deaths over time are used to incrementally ask students to fit the data to...
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##### 2003-Richard-Carson-Tracer kinetic modeling in PET
The use of radiopharmaceuticals and the imaging of their biodistribution and kinetics with modern instrumentation are key components to successful developments in PET.
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##### Why does Blood Flow Change? Investigating the Math of Blood Flow Dynamics
This collection of activities explores the relationship between blood flow, pressure, and the factors of resistance through graphs and modeling direct and inverse variation.
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##### Fitting Exponential and Logistic Growth Models to Bacterial Cell Count Data
In this activity, students will model a noisy set of bacterial cell count data using both exponential and logistic growth models. For each model the students will plot the data (or a linear...
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##### A Modeling Exercise in Sexual Selection using a Student-Created Bird Species
Evolution-centered lessons at the undergraduate level can often be jargon-heavy, propagate misconceptions if taught ineffectively, and be uninteresting to students who may not see the relevancy of...
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##### Plotting Cranial and Spinal Nerve Pathways in a Human Anatomy Lab
Hands-on experiences with cadavers, animal dissections, or plastic models are effective at improving student learning and attitudes in human anatomy courses. The hands-on experience allows students...
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##### 2008-Lawson-Marion-An Introduction to Mathematical Modelling
This is a broad based set of notes with sections: Building Models, Studying Models, and Using Models. No depth on any model, no solution strategies, but good references to models, and general...
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##### 2011-Brian_Winkel-Parameter Estimates in Differential Equation Models for Population Growth
We estimate the parameters present in several differential equation models of population growth, specifically logistic growth models and multiple species competition models.
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##### Design a Zoo (Grades 6-8)
This classroom lesson presents students with the job of designing a zoo, which could include modeling tasks ranging from choosing and locating the exhibits to setting the right admission prices.
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##### Design a Zoo (Grades 3-5)
This classroom lesson presents students with the job of designing a zoo, which could include modeling tasks ranging from choosing and locating the exhibits to setting the right admission prices.
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##### Linear Models and Linear Mixed Effects in R: Tutorial 1
The first of two tutorials that introduce you to linear and linear mixed models.
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##### 2011-Mandal-EtAl-Mathematical models of malaria
The first aim of this article is to develop, starting from the basic models, a hierarchical structure of a range of deterministic models of different levels of complexity. The second is to...
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##### 2014-Blomhøj-EtAl-Compartment models
An overview of compartment models with many rich illustrations and much attention to various numerical methods in solutions of the resulting differential equations using Matlab. Also included is a...
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##### A first lesson in mathematical modeling for biologists: Rocs
Using a fictitious population of Rocs, a mythical species of giant raptor, students accomplish two broad objectives: 1) they undertake the process of building a first mathematical model of a...
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##### 2017-Jean-Roux-Mathematical Models in Air Quality Problems
Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.
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