Research (This page is badly out of date - Sorry!)

The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living. - Henri Poincare

Great are the works of the LORD;
They are studied by all who delight in them; 
Splendid and majestic is His work.
He has made His wonders to be remembered.
 - King David

Mathematical Cardiology

The heart is a 4 chambered mechanical device designed to pump blood to and from the body. Its contractions are regulated by an electrical impulse called an action potential which conducts throughout the heart muscle through the cardiac conduction system. The behavior of the action potential is reflected in the body surface ECG (electrocardiogram). Disruptions of the normal conduction of actions potentials are called cardiac arrhythmias.

Cardiac Arrhythmias

Jim Keener, Sasha Panfilov, Tim Lewis, Eric Cytrunbaum, Chung-Seon Yi, Young Seon Li, Brad Peercy

For an overview of graphical images see Whole heart Pictures or Tissue slab pictures .
For an overview of some of the research in the Math Biology group here see these slides

Some Recent Lectures

Flagellar Length control

Arrhythmias by Dimension (AMS)

The Dynamics of Defibrillation - (SIAM Life Sciences Conference)

The Onset of Fibrillation following a Heart Attack (SIAM50)

Biofilms and Virulence

We are in the beginning stages of research into the behavior of biofilms and the organisms that make biofilms, specifically P. aeruginonsa. There is a lot that can be said about these organisms, but for starters here are some web sites that give some interesting information about biofilm infections, etc.

P aeruginaosa and Cystic Fibrosis

Exotoxin synthesis

Biofilms in motion

Epithelial attack

Here is a lecture that I have given on P. aeruginosa.

Recent Publications

Three Dimensional Propagation in the Heart: The Effects of Geometry and Fiber Orientation on Propagation in Myocardium

The Effects of Geometry and Fiber Orientation on Propagation and Extracellular Potentials in Myocardium

Geometry Creates Spirals

Direct Activation and Defibrillation of Cardiac Tissue

Re-entry in an Anatomical Model of the Heart

A Biophysical Model for Defibrillation of Cardiac Tissue

The Effect of Gap Junctional Distribution on Defibrillation (no pretty pictures - sorry!)

A Numerical Method for the Bidomain Model in Cardiac Tissue(no pretty pictures here either - sorry!)

The Biphasic Mystery: Why a biphasic shock is more effective than a monophasic shock for defibrillation (Nice pictures)

Homogenization and Propagation in the Bistable Equation

Propagation of Calcium Waves in a Medium with Discrete Release Sites

Quroum sensing in P. Aeruginosa

Immersed Interface Methods for Neumann and Related Problems

Diffusion Induced Oscillatory Insulin Secretion

Other interesting sites:

Bioinformatics - University of Utrecht (Sasha Panfilov - one of my collaborators)
Computational EP - Duke University
Bioengineering Research Group - New Zealand
Oslo group
Computer Graphics - Utah
Bioengineering - Tulane
Applied Chaos Lab - Georgia Tech
Dalhousie University

Students currently involved in this research effort include:

Young-Seon Lee
Bradford Peercy
Nick Cogan
Brynja Kohler
Frank Lynch
Stefan Folias

You too can become involved! Here's how:
Group Meeting

Want to know about graduate study in Math Biology at University of Utah?

This research is supported in part by grants from the National Science Foundation. Thanks.

For more information contact J. Keener, 1-6089