Chapter 2
Mathematical Foundations:
Dynamical Systems
2.1
Introduction to dynamical systems
Any system that varies as a function of time may be termed a dynamical system; the study of
dynamical systems has a long history, spanning many elds. The descripti
9/10/15
MATLAB Function Files
A MATLAB function file (called an M-file) is a text (plain ASCII) file that
contains a MATLAB function and, optionally, comments.
The file is saved with the function name and the usual MATLAB script file
extension, ".m".
9/2/15
Variables and Arrays
Variables are named locations in memory where numbers,
strings and other elements of data may be stored while
the program is working.
Variable names are combinations of letters and digits, but
must start with a letter.
Variab
Chapter 4
Mathematical Epidemiology
4.1
The Biology of Infectious Disease
A major question in public health is whether we can understand the details of how an
infectious disease propagates through a population. Accurate models of infectious disease
dynami
Chapter 5
The Mathematics of Molecular
Biology
5.1
A brief overview of molecular biology
The field of molecular biology aims to understand biological function in terms of the underlying molecular mechanisms that drive it. All cells are surrounded by a cel
Chapter 2
Mathematical Foundations:
Dynamical Systems
2.1
Introduction to dynamical systems
Any system that varies as a function of time may be termed a dynamical system; the study of
dynamical systems has a long history, spanning many fields. The descrip
Sample questions
1. Provide a definition of each of the following terms; include a sketch where appropriate:
(a) Synthetic biology
(b) Linear superposition (in context of linear dynamical system)
(c) Numerical method/solution
(d) Environmental carrying ca
Chapter 1
Introduction to Mathematical Biology
1.1
Grand Challenges in Biology
Biology is a vast eld, ranging from the study of microscopic sub-cellular systems and individual molecules to the the study of ecosystems that span vast portions of the globe.
Chapter 3
Population Dynamics
3.1
The growth of single-species populations
We will now begin our rst in depth consideration of a particular biological problem the
dynamics of how populations of organisms vary over time. Before delving into the discussion
9/18/14
Data files using load/save
Probably the easiest way to import data into a Matlab
program is from a tab delimited file. Excel can export
tables in tab-delimited format. These can be then be read
into Matlab using the load function
Example: Use Ex