-
The preferential attachment model
10 May 2015 | Teaching & Reference Material | Contributor(s): Winfried Just, Hannah Lea Callender, Drew LaMar, Ying Xin
Many empirically studied networks have approximately so-called power-law or scale-free degree distributions. In Section 1 we formally define such distributions and explore some of their properties. We also introduce and briefly compare two methods for constructing random...
-
Exploring distances with IONTW
10 May 2015 | Teaching & Reference Material | Contributor(s): Winfried Just, Hannah Lea Callender, Drew LaMar
Section 1 is purely conceptual and invites readers to critically evaluate popular claims based on Stanley Milgram's famous experiment that gave birth to the phrases small-world property and six degrees of separation. In Section 2 we use IONTW to explore distances between nodes in several...
-
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...
-
Exploring Disease Transmission on Networks with NetLogo
10 May 2015 | Teaching & Reference Material | Contributor(s): Winfried Just, Ying Xin
-
Exploring Disease Transmission on Networks with NetLogo
10 May 2015 | Teaching & Reference Material | Contributor(s): Winfried Just, Ying Xin
-
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
-
Pre-Health Students' Attitudes towards the Relative Importance of Biology and Statistics for their Preparation for Professional School
07 May 2015 | Teaching & Reference Material | Contributor(s): Atteh Akoto, Michelle Garber-Talamo, Sam S Donovan, Alison N Hale
This resource has been updated - find the current version here: https://qubeshub.org/publications/235During a recent review of the MCAT exam, the American Association of Medical Colleges (AAMC) surveyed medical school faculty to determine the relative importance of basic science and...
-
Pre-Health Students' Attitudes towards the Relative Importance of Biology and Statistics for their Preparation for Professional School
07 May 2015 | Teaching & Reference Material | Contributor(s): Atteh Akoto, Michelle Garber-Talamo, Sam S Donovan, Alison N Hale
This resource has been updated - find the current version here: https://qubeshub.org/publications/235During a recent review of the MCAT exam, the American Association of Medical Colleges (AAMC) surveyed medical school faculty to determine the relative importance of basic science and...
-
Characterizing the Quantitative Biology Curricula from Institutions Across the United States
29 Apr 2015 | Teaching & Reference Material | Contributor(s): Wendy Jo Levenson, Monika Norea Herbst, Sam S Donovan, Alison N Hale
This resource has been updated - find the current version here: https://qubeshub.org/publications/236Due to the increasingly quantitative nature of the biological sciences, many schools now offer majors in mathematical biology. As this is a new major, there is no standard for how the program...
-
Characterizing the Quantitative Biology Curricula from Institutions Across the United States
29 Apr 2015 | Teaching & Reference Material | Contributor(s): Wendy Jo Levenson, Monika Norea Herbst, Sam S Donovan, Alison N Hale
This resource has been updated - find the current version here: https://qubeshub.org/publications/236Due to the increasingly quantitative nature of the biological sciences, many schools now offer majors in mathematical biology. As this is a new major, there is no standard for how the program...
-
A very basic tutorial for performing linear mixed effects analyses: Tutorial 2
24 Apr 2015 | Teaching & Reference Material | Contributor(s): Bodo Winter
This resource has been updated - find the current version here: https://qubeshub.org/qubesresources/publications/833This tutorial serves as a quick boot camp to jump-start your own analyses with linear mixed effects models. This text is different from other introductions by being decidedly...
-
A very basic tutorial for performing linear mixed effects analyses: Tutorial 2
24 Apr 2015 | Teaching & Reference Material | Contributor(s): Bodo Winter
This resource has been updated - find the current version here: https://qubeshub.org/qubesresources/publications/833This tutorial serves as a quick boot camp to jump-start your own analyses with linear mixed effects models. This text is different from other introductions by being decidedly...
-
Linear models and linear mixed effects models in R: Tutorial 1
24 Apr 2015 | Teaching & Reference Material | Contributor(s): Bodo Winter
This resource has been updated - find the current version here: https://qubeshub.org/qubesresources/publications/832Linear models and linear mixed models are an impressively powerful and flexible tool for understanding the world. This tutorial is the first of two tutorials that introduce...