Spontaneous Initiation and Termination of Reentry (SITR) Patterns
In a
Project Dated 2004-2008
The centerpiece of the project is a discrete, threshold model of reentrant circulation of an action potential in a loop of ventricular tissue subject to pacing by natural or artificial mechanisms. The project was initiated by Mark Wood (now deceased) and Hassan Sedaghat of the Virginia Commonwealth University and was partially funded by Medtronic, Inc.
Project participants in alphabetical order:
Clive M. Baumgarten, Ph.D., Pauley Heart Center, VCU Health System
John W. Cain, Ph.D., Department of
Mathematics,
David M. Chan, Ph.D., Department of Mathematics and the Center for the Study of Biological Complexity
Chao-Kun Cheng, Ph.D., Department of Computer Science, VCU
Candace M. Kent, Ph.D., Department of Mathematics and the Center for the Study of Biological Complexity
Hassan Sedaghat, Ph.D., Department of Mathematics and the Center for the Study of Biological Complexity
Mark A. Wood, M.D.,
Ena Y. Xiao, undergraduate student and research assistant
Project Publications:
·
Sedaghat, H., Wood, M.A., Cain, J.W., Cheng,
C.K., Baumgarten, C.M., Chan, D.M. (2008) “Complex
patterns of spontaneous initiation and termination of reentry in a loop of
cardiac tissue,” J. Theo. Biol. 254, 14-26 http://arxiv.org/abs/0803.2698
· Sedaghat, H., Kent, C.M., Wood, M.A. (2005) “Criteria for the convergence, oscillations and bistability of pulse circulation in a ring of cardiac tissue,” SIAM J. Appl. Math., 66, 573-590
The Model’s Description (PDF)
(Notes on the project background and the model, plus
various case-studies and simulations some of which appear in the aforementioned
paper)
Supplements to case-studies in Model’s Description (additional runs)
Note: In the following simulations
files “T4” refers to the TC threshold and “T3” is TP. See the Model’s
Description above for definitions of TC and TP. “T2” is also TC but when the
current beat is in paced mode (T2 is not reflected in mode sequences as T3 and
T4 are). Also UDC or UDCP means the paced mode in the Model’s Description.
Numerical Simulation Files using C-K. Cheng’s code:
Numerical Experiments:
· Multistable reentry, quasiperiodic pattern, all cells’ initial DI = 80
· Multistable reentry, aperiodic pattern, all cells’ initial DI = 70
· Multistable reentry, convergent pattern, all cells’ initial DI = 60
· Multistable reentry, periodic pattern, all cells’ initial DI = 50
· The Mathcad worksheet to create the above patterns and more (needs the Mathcad software to run)
Notes:
· Taking Math to the Heart: Reentrant Pulse in a Discrete Loop
(Reentrant circulation in a loop of cardiac tissue as
a discrete dynamical system)
Email
hsedagha@vcu.edu with comments or
requests.