Studies on feedback control of cardiac alternans

Computers and Chemical Engineering

Volumn 32, Issue 9, 2008, Pages 2086-2098

  Dubljevic, Stevan ^a,c   Lin, Shien Fong ^b   Christofides, Panagiotis D ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b INDIANA UNIVERSITY   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Action potential duration (APD); Cardiac alternans; Dissipative parabolic PDEs; Proportional perturbation feedback (PPF); State output feedback control

Indexed keywords

AIRCRAFT ENGINES; BASIC (PROGRAMMING LANGUAGE); BESSEL FUNCTIONS; CABLES; CELLS; COMPUTER CONTROL; COMPUTER NETWORKS; CRACK PROPAGATION; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); ELECTROACUPUNCTURE; FEEDBACK; FEEDBACK CONTROL; LAWS AND LEGISLATION; LINEAR EQUATIONS; MATHEMATICAL MODELS; MEASUREMENTS; MICROFLUIDICS; MODAL ANALYSIS; MODULATION; NETWORK PROTOCOLS; NEUROLOGY; NUMERICAL ANALYSIS; ONE DIMENSIONAL; PARTIAL DIFFERENTIAL EQUATIONS; REAL TIME CONTROL; REAL TIME SYSTEMS; STANDARDS; STATE FEEDBACK; WAVE PROPAGATION; WAVES; WIRE ROPE;

(1 1 0) SURFACE; (P ,P ,T) MEASUREMENTS; APPLIED (CO); CABLE MODELS; CARDIAC CELLS; CARDIAC TISSUES; CONDUCTION BLOCK; CONTROL ACTIONS; CONTROL METHODOLOGY; CONTROLLER IMPLEMENTATION; CONTROLLER SYNTHESIS; CYCLE LENGTH; ELSEVIER (CO); EXPERIMENTAL RESULTS; EXPERIMENTAL STUDIES; FEEDBACK PROTOCOL; FLUORESCENT DYES; HUMAN MYOCARDIUM; IN ORDER; IONIC MODELS; MEASUREMENT NOISES; MODAL DECOMPOSITION; NUMERICA L RESULTS; ONE-DIMENSIONAL; OPTICAL MAPPING; OUTPUT FEEDBACK CONTROLLERS; PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS; PARABOLIC PDE; POLE PLACEMENTS; REAL TIME CONTROL (RTC); REAL-TIME SYSTEMS; SELF-REFERENCING; SUDDEN CARDIAC DEATH (SCD);

CONCURRENCY CONTROL;

EID: 45949088030     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compchemeng.2007.10.019     Document Type: Article

References (35)

1. Antsaklis P.J., and Michel A.N. Linear systems (1997), McGraw-Hill, New York
2. Armaou A., and Christofides P.D. Dynamic optimization of dissipative PDE systems using nonlinear order reduction. Chemical Engineering Science 57 (2002) 5083-5114
3. Cao J.M., Qu Z., Kim Y.H., Wu T.J., Garfinkel A., Weiss J.N., et al. Spatiotemporal heterogeneity in the induction of ventricular fibrillation by rapid pacing: Importance of cardiac restitution properties. Circulation Research 84 (1999) 1318-1331
4. Christini D.J., and Collins J.J. Real-time, adaptive, model-independent control of low-dimensional chaotic and nonchaotic dynamical systems. IEEE Transactions on Circulation System 44 (1997) 1027
5. Christini D.J., Riccio M.L., Culianu C.A., Fox J.J., Karma A., and Gilmour R.F. Control of electric alternans in canine cardiac purkinje fibers. Physical Review Letters 96 (2006) 104101
6. Christofides P.D. Nonlinear and robust control of PDE systems: Methods and applications to transport-reaction processes (2001), Birkhäuser, Boston
7. Curtain R.F., and Zwart H. An introduction to infinite-dimensional linear systems theory (1995), Springer-Verlag, New York
8. Dochain D. State observation and adaptive linearizing control for distributed parameter (bio)chemical reactors. International Journal of Adaptive Control and Signal Processing 15 (2001) 633-653
9. Dubljevic S., and Christofides P.D. Predictive output feedback control of parabolic PDEs. Industrial & Engineering Chemistry Research 45 25 (2006) 8421-8429
10. Dubljevic S., and Christofides P.D. Predictive control of parabolic PDEs with boundary control actuation. Chemical Engineering Science 61 (2006) 6239-6248
11. Dubljevic, S., & Christofides, P. D. (submitted). Optimal mechano-electric stabilization of cardiac alternans. Automatica.
12. Dubljevic S., Mhaskar P., El-Farra N.H., and Christofides P.D. Predictive control of transport-reaction processes. Computers & Chemical Engineering 29 (2005) 2335-2345
13. Dubljevic S., El-Farra N.H., Mhaskar P., and Christofides P.D. Predictive control of parabolic PDEs with state and control constraints. International Journal of Robust and Nonlinear Control 16 (2006) 749-772
14. Echebarria B., and Karma A. Spatiotemporal control of cardiac alternans. Chaos 12 (2002) 923-930
15. Echebarria B., and Karma A. Instability and spatiotemporal dynamics of alternans in paced cardiac tissue. Physical Review Letters 88 (2002) 208101
16. Garfinkel A., Spano M., Ditto W.L., and Weiss J.N. Controlling cardiac chaos. Science 257 (1992) 1230-1235
17. Hall G.M., and Gauthier D.J. Stabilizing unstable periodic orbits in fast dynamical systems. Physical Review E 50 (1994) 3234
18. Hall G.M., and Gauthier D.J. Experimental control of cardiac muscle alternans. Physical Review Letters 88 (2002) 198102
19. Hall K., Christini D.J., Tremblay M., Collins J.J., Glass L., and Billette J. Dynamic control of cardiac alternans. Physical Review Letters 78 (1997) 4518-4521
20. Henry H., and Rappel W.-J. Dynamics of conduction block in a model of paced cardiac tissue. Physical Review E 71 (2005) 051911
21. Jordan P.N., and Christini D.J. Adaptive diastolic interval control of cardiac action potential duration alternans. Journal of Cardiovascular Electrophysiology 15 (2004) 1177
22. Karma A. Electrical alternans and spiral wave breakup in cardiac tissue. Chaos 4 3 (1994) 461-472
23. Noble D. A modification of the Hodgkin-Huxley equations applicable to purkinje fibre action and pace-maker potentials. Journal of Physiology 160 (1962) 317-352
24. Nolasco J.B., and Dahlen R.W. Journal of Applied Physiology 25 (1968) 191
25. Oh J.K., Seward J.B., and Tajik A.J. The echo manual (1999), Lippincott Williams & Wilkins
26. Ott E., Grebori C., and York J. Controlling chaos. Physical Review Letters 64 (1990) 1196
27. Pastore J.M., Girouard S.D., Laurita K.R., Akar F.G., and Rosenbaum D.S. Mechanism linking T-wave alternans to the genesis of cardiac fibrillation. Circulation 99 (1999) 1385-1395
28. Pastore J.M., Girouard S.D., Laurita K.R., Akar F.G., and Rosenbaum D.S. Mechanism linking T-wave alternans to the genesis of cardiac fibrillation. Circulation 99 (1999) 1385-1394
29. Qu Z.L., Garfinkel A., Chen P.S., and Weiss J.N. Mechanism of discordant alternans and induction of reentry in simulated cardiac tissue. Circulation 102 14 (2000) 1664-1679
30. Ray W. Advanced process control (1981), McGraw-Hill, New York
31. Rosenbaum D.S., Jakson L.E., Smith J.M., Garam H., Ruskin J.N., and Cohen R.J. Electrical alternans and vulnerability to ventricular arrhythmias. New England Journal of Medicine 330 (1994) 235-241
32. Socolar J.E., and Gauthier D.J. Analysis and comparison of multiple-delay schemes for controlling unstable fixed points of discrete maps. Physical Review E 57 (1998) 6589
33. Temam R. Infinite-dimensional dynamical systems in mechanics and physics (1988), Springer-Verlag, New York
34. Tolkaceva E.G., Romeo M.M., Guerraty M., and Gauthier D. Condition for alternans and its control in a two-dimensional mapping model of paced cardiac cells. Physical Review E 69 (2004) 031904
35. Zipes D.P., and Wellens H.J. Sudden cardiac death. Circulation 98 (1998) 2334-2351