-
The friendship paradox
10 May 2015 | Teaching & Reference Material | Contributor(s): Winfried Just, Hannah Lea Callender, Drew LaMar
In this module we introduce the so-called friendship paradox and illustrate how it affects disease transmission on networks that exhibit this phenomenon.You also need to download the input file degreesFP.txt that will be used in this module.Level: Advanced undergraduate and graduate...
-
The replacement number
10 May 2015 | Teaching & Reference Material | Contributor(s): Winfried Just, Hannah Lea Callender, Drew LaMar, Ying Xin
In this module we introduce the important notion of the replacement number, which generalizes the basic reproductive number R0. We investigate how this number behaves near the start of an outbreak in models based on the uniform mixing assumption and in models that assume a contact network that is...
-
Differential equation models of disease transmission
10 May 2015 | Teaching & Reference Material | Contributor(s): Winfried Just, Hannah Lea Callender
In this module we explore ODE models of disease transmission and compare some of their predictions with those of agent-based models. Parts of this material will be referenced in later modules.Level: Advanced undergraduate and graduate students of mathematics or biology.DownloadStudent copy (no...
-
Exploring random regular graphs with IONTW
10 May 2015 | Teaching & Reference Material | Contributor(s): Winfried Just, Hannah Lea Callender, Drew LaMar
In this module we introduce and explore the structure of random regular graphs. Moreover, we compare the predictions of SIR-models on random regular contact networks with the predictions of corresponding models on Erdős-Rényi networks.Level: Undergraduate students of biology or...
-
Exploring Erdős-Rényi random graphs with IONTW
10 May 2015 | Teaching & Reference Material | Contributor(s): Winfried Just, Hannah Lea Callender, Drew LaMar
In this module we explore in detail the distribution of the sizes of connected components of Erdős-Rényi random graphs and discover the reasons for the similarities and differences between disease transmission on Erdős-Rényi networks and complete graphs that were observed in...
-
Exploring contact patterns between two subpopulations
10 May 2015 | Teaching & Reference Material | Contributor(s): Winfried Just, Hannah Lea Callender, Drew LaMar
In this module we introduce a construction of generic random graphs for a given degree sequence or degree distribution and explore whether mixing between hosts who belong to different subpopulations is assortative or disassortative.Level: Undergraduate students of biology or...
-
A brief review of basic probability theory
10 May 2015 | Teaching & Reference Material | Contributor(s): Winfried Just
The spread of infectious diseases is inherently a stochastic process and the materials posted at this web site heavily rely on probability theory. Here we review some basic concepts of probability theory for easy reference. The material is restricted to notions that are used in teaching...
-
Network-based models of transmission of infectious diseases: a brief overview
10 May 2015 | Teaching & Reference Material | Contributor(s): Winfried Just, Hannah Lea Callender, Drew LaMar
The main purpose of this document is to give a brief but mathematically rigorous description of the network-based models of transmission of infectious diseases that are studied on this web site. Readers will be able to find a much more detailed development of this material in our book chapters...
-
Ecology and Epidemiology in R
09 May 2015 | Teaching & Reference Material
This resource has been updated - find the current version here: https://qubeshub.org/qubesresources/publications/837
-
AIM-UP! Reading scientific literature module
28 Mar 2015 | Teaching & Reference Material | Contributor(s): Galen Rask
This resource has been updated - find the current version here: https://qubeshub.org/publications/336Designed to span 4 one-hour lectures, this module focuses upon developing the skill of thorough and critical reading of scientific literature.
-
AIM-UP! GIS and bats lesson
28 Mar 2015 | Teaching & Reference Material
This resource has been updated - find the current version here: https://qubeshub.org/publications/335This lesson introduces the use of GIS (geographic information systems) in the study of biological questions, using bats as the model organism. This activity requires access to GIS...
-
AIM-UP! Coal balls lesson
28 Mar 2015 | Teaching & Reference Material | Contributor(s): Monte Garroutte, Jordan Metzgar, Hirotsugu Mori
This resource has been updated - find the current version here: https://qubeshub.org/publications/334In this activity, students learn about ancient plant life and climate change by examining coal balls. In addition to the lesson itself, information is provided on where to purchase coal ball...
-
Numbers Count!: Calculus 2 course
28 Mar 2015 | Teaching & Reference Material | Contributor(s): Claudia Neuhauser
This resource has been updated - find the current version here: https://qubeshub.org/qubesresources/publications/751Based upon the University of Minnesota Bachelor's of Science in Health Science calculus curriculum (part 2), this course introduces linear transformations,...
-
Numbers Count!: Statistics course
28 Mar 2015 | Teaching & Reference Material | Contributor(s): Claudia Neuhauser
This resource has been updated - find the current version here: https://qubeshub.org/qubesresources/publications/750This course in the Numbers Count! curriculum introduces the basics of statistical analysis, including basic definitions, data visualization, and application.
-
Molecular Biology of the Cell (MBoC)
27 Mar 2015 | Teaching & Reference Material
This resource has been updated - find the current version here: https://qubeshub.org/qubesresources/publications/851An online journal focusing upon generally-applicable studies of cell biology. From the journal: MBoC publishes research articles and essays that report...
-
Wellesley College Study Packet for the Quantitative Reasoning Assessment
27 Mar 2015 | Teaching & Reference Material
This resource has been updated - find the current version here: https://qubeshub.org/qubesresources/publications/782This packet contains a set of 24 practice questions and 2 full-length practice assessments for the Quantitative Reasoning Assessment for Wellesley College.
-
Drivers of Avian Local Species Richness: Continental-Scale Gradients, Regional Landscape, or Local Land Cover?
27 Mar 2015 | Teaching & Reference Material | Contributor(s): Tom Langen
This resource has been updated - find the current version here: https://qubeshub.org/publications/269An ecology laboratory focusing upon the concept of species richness and its study.From the module: Students learn how to test hypotheses related to the local, regional, and continental...
-
Quantitative Reasoning: Peer Review 16(3), 2014
27 Mar 2015 | Teaching & Reference Material | Contributor(s): Shelly Johnson Carey
This resource has been updated - find the current version here:https://qubeshub.org/qubesresources/publications/862In this issue of the journal Peer Review, the authors discuss the issues surrounding quantitative literacy. From the journal:...
-
Exploring the Lotka-Volterra Competition Model using Two Species of Parasitoid Wasps
25 Mar 2015 | Teaching & Reference Material | Contributor(s): Christopher W. Beck, Judy A. Guinan, Lawrence S. Blumer, Robert W. Matthews
This resource has been updated - find the current version here: https://qubeshub.org/publications/270Laboratory exercise in which students collect data on parasitoid wasps and fit Lotka-Volterra competition models. The authors' abstract:"In this investigation,...
-
MathBench Biology Modules
13 Mar 2015 | Teaching & Reference Material | Contributor(s): Katerina V. Thompson, Kären C. Nelson, Gili Marbach-Ad, Michael Keller, William F. Fagan, Patricia A. Shields
Modules designed to help students understand the math behind the material learned in introductory ecology courses.