# Nonlinear Dynamics in Biological Systems

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'''Group 4''': A chemistry graduate student is looking for more people interested in intracellullar calcium oscillations (i.e. calcium induced calcium release). As of Friday after class, need 3-4 people. Contact mcgreen@purdue.edu | '''Group 4''': A chemistry graduate student is looking for more people interested in intracellullar calcium oscillations (i.e. calcium induced calcium release). As of Friday after class, need 3-4 people. Contact mcgreen@purdue.edu | ||

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other possible ideas: microbial competion, metabolism, neuronal oscillations, cell cycle | other possible ideas: microbial competion, metabolism, neuronal oscillations, cell cycle |

## Revision as of 13:21, 26 August 2007

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## Contents |

## General Announcements

## Coures Outline and Syllabus

This course is an introduction to nonlinear dynamics with applications to biology targeted to junior/senior engineering students and 1st year graduate students in engineering and quantitative life sciences.

We will use Strogatz as our main text and supplement with outside biological examples.

## Questions for Professor Rickus or TA Mike

## Organize Team Groups and Topics

**Group 1**: Dr. Rickus has a request that one group work on **Bacterial Paper Rock Scissors**. this is a project where 3 genetically engineered bacterial strains compete against each other in such away that 1 beats/kills 2, 2 beats/kills 3, and 3beats/kills 1.
anyone game? Yes, group 'Grad Minority' is interested in taking on this project

Group 2 Circadian Rhyth. my name is ladida anyone wanna join

**Group 3**: A fellow grad student and I are looking for one or two more people interested in investigating cellular differentiation. Contact slnoble@purdue.edu

**Group 4**: A chemistry graduate student is looking for more people interested in intracellullar calcium oscillations (i.e. calcium induced calcium release). As of Friday after class, need 3-4 people. Contact mcgreen@purdue.edu

other possible ideas: microbial competion, metabolism, neuronal oscillations, cell cycle

**neurological signals** (3): Brandon Davis, Nicole Meehan, Omeed Paydar, Andrew Pierce

**neuronal firing:**(4) Timu Gallien, Julie Morby, Michelle Scheidt, Mark Wilson

**cadiac modeling**(5), Matt Croxall, Meghan Floyd, Erica Halsey, Shari Hatfield, Rohit Shah

**bacterial rock paper scissors**(3):Team Grad Minority. Alex DiMauro, Trisha Eustaquio, and Nick Snead

**circadian rhythms**(4): Jeremy Schaeffer, Arun Mohan , Drew Lengerich, Shaunak A Kothari

**cell differentiation**(3): Sarah Noble, Paul Critser, Prasad Siddavatam

team name: The Bowman Group, members: Chris Fancher, Todd Shuba, and Ben Zajeski, and area of interest: Fermentation

## Lecture Notes and Topics

**Monday August 20**
Lecture 1 powerpoint
**Wed Aug 22**
in class covered: projects, email list, class wiki, state space, existence and uniqueness, trajectory, dimensionality, possible behavior of 1,2,3 D systems, coverting higher order and time dependent equations to state space, intro to stability, intro to vector fields, autocatalysis example
Chapter 1 notes

## Background Math to Brush Up On

these following things should be 2nd nature to you. if they are hazing from the summer fun, it would be best to brush up now.

- sketching of common functions: exponentials
*e**x**p*(*a**x*),*s**i**n*(*x*),*c**o**s*(*x*),*x*/*x*+ 1, more generally*a**x*^{n}/ (*x*^{n}+*b*), polynomials - taking derivatives of common functions
- solving simple linear ODEs
*d**x*/*d**t*=*k**x* - finding eigenvalues and eigenvectors
- Taylor series expansion
- solving polynomials
- complex numbers