Model of the sino-atrial and atrio-ventricular nodes of the conduction system of the human heart

Biomedizinische Technik

Volumn 51, Issue 4, 2006, Pages 210-214

  Grudziński, Krzysztof ^a   Zebrowski, Jan J ^a,c   Baranowski, Rafal ^b  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

^b INSTITUTE OF CARDIOLOGY   (Poland)

^c Wydział Fizyki PW ^*  (Poland)

Author keywords

Asystole; Heart block; Heart rate variability models; Non linear oscillators

Indexed keywords

OSCILLATORS (ELECTRONIC); PATIENT MONITORING; PHYSIOLOGICAL MODELS;

ASYSTOLE; HEART BLOCK; HEART RATE VARIABILITY MODELS; NON-LINEAR OSCILLATORS;

CARDIOLOGY;

ASYSTOLE; CONFERENCE PAPER; HEART ATRIOVENTRICULAR NODE; HEART BLOCK; HEART MUSCLE CONDUCTION SYSTEM; HEART RATE VARIABILITY; NONLINEAR SYSTEM; OSCILLATOR; SINUS NODE; ACTION POTENTIAL; ARTICLE; BIOLOGICAL MODEL; BIOLOGICAL RHYTHM; COMPUTER SIMULATION; HEART RATE; HUMAN; METHODOLOGY; OSCILLOMETRY; PHYSIOLOGY;

ACTION POTENTIALS; ATRIOVENTRICULAR NODE; BIOLOGICAL CLOCKS; COMPUTER SIMULATION; HEART CONDUCTION SYSTEM; HEART RATE; HUMANS; MODELS, CARDIOVASCULAR; NONLINEAR DYNAMICS; OSCILLOMETRY; SINOATRIAL NODE;

EID: 34047151062     PISSN: 00135585     EISSN: None     Source Type: Journal    
DOI: 10.1515/BMT.2006.039     Document Type: Conference Paper

References (17)

1. Bayés da Luna A. Clinical electrocardiography: a textbook. New York: Futura 1998.
2. Bub G, Glass L. Bifurcations in a discontinuous circle map: a theory for a chaotic cardiac arrythmia. Int J Bifurcations Chaos 1995; 5: 359-371.
3. di Bernardo D, Signorini MG, Cerutti S. A model of two nonlinear coupled oscillators for the study of heartbeat dynamics. Int J Bifurcations Chaos 1998; 8: 1975-1985.
4. FitzHugh R. Impulses and physiological states in theoretical models of nerve membrane. Biophys J 1961; 1: 445-466.
5. Glass L, Hunter P, McCulloch A, editors. Theory of heart. Berlin: Springer-Verlag 1990.
6. Grudziński K, Zebrowski JJ. Modeling cardiac pacemakers ? with relaxation oscillators. Physica A 2004; 336: 153-162.
7. Hodgkin AL, Huxley AF. A quantitative description of membrane current and its applications to conduction and excitation in nerve. J Physiol (Lond) 1952; 117: 500-544.
8. Hoffman BF, Cranefield PF. Electrophysiology of the heart. New York: McGraw Hill 1960.
9. Honerkamp J. The heart as a system of coupled nonlinear oscillators. J Math Biol 1983; 18: 69-88.
10. Katholi CR, Urthaler F, Macy J Jr, James TN. A mathematical model of automaticity in the sinus node and the AV junction based on weakly coupled relaxation oscillators. Comp Biomed Res 1977; 10: 529-543.
11. Morris C, Lecar H, Voltage oscillations in the barnacle giant muscle fiber. Biophys J 1981; 35: 193-213.
12. Postnov D, Han SK, Kook H. Synchronization of diffusively coupled oscillators near the homoclinic bifurcation. Phys Rev E 1999; 60: 2799-2807.
13. Aguirregabiria JM. Dynamics solver program. http:// tp.lc.ehu.es/jma/ds/ ds.html.
14. Thompson JMT, Steward HB. Nonlinear dynamics and chaos. New York: John Wiley 2002.
15. van der Pol B, van der Mark J. The heartbeat considered as a relaxation oscillation and an electrical model of the heart. Philos Mag 1928; 6: 763-775.
16. West BJ, Goldberger AL, Rovner G, Bhargava V. Nonlinear dynamics of the heartbeat. The AV junction: passive conduit or active oscillator? Physica D 1985; 17: 198-206.
17. Zipes PD, Jalife J, editors. Cardiac electrophysiology: from cell to bedside. Philadelphia: WB Saunders 2000.