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@article{MM_2004_16_11_a0, author = {M. B. Hidirova}, title = {Modelling of mechanisms of cardiac tissue excitement}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {3--14}, publisher = {mathdoc}, volume = {16}, number = {11}, year = {2004}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2004_16_11_a0/} }
M. B. Hidirova. Modelling of mechanisms of cardiac tissue excitement. Matematičeskoe modelirovanie, Tome 16 (2004) no. 11, pp. 3-14. http://geodesic.mathdoc.fr/item/MM_2004_16_11_a0/
[1] Balth van der Pol, J van der Mark, “The Heartbeat considered as a Relaxation oscillation, and an Electrical Model of the Heart”, The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science, 6 (1928), 763–775
[2] Wiener N., Rosenblueth A., “The mathematical formulation of the problem of conduction of impulses in a network if connected excitable elemants, specifically in cardiac muscle”, Arch. Inst. Cardiologia de Mexico, XVI:3–4 (1946), 205–265 | MR
[3] Krinskii V. I., “Fibrillyatsiya v vozbudimykh sredakh”, Problemy kibernetiki, 1968, no. 20, 59–80
[4] Entsiklopediya kibernetiki, Kiev, 1974
[5] FitzHugh R. A., “Impulses and physiological states in theoretical models of nerve membrane”, Biophys. J., 1 (1961), 445–466 | DOI
[6] Noble D., “The Initiation of the Heart Beat”, Advancement of Science, 23:114 (1966), 412–418
[7] Beeler G. W., Reuter H., “Reconctruction of the Action Potential of Ventricular Myocardial Fibres”, J. Physiol. (Lond.), 268:1 (1977), 177–210
[8] Luo C. H., Rudy Y., “A Model of the Ventricular Cardiac Action Potential: Depolarization, Repolarization and Their Interaction”, Circ Res., 68:6 (1991), 1501–1526
[9] Luo C. H., Rudy Y., “A Dynamic Model of the Cardiac Ventricular Action Potential. 1. Simulation of Ionic Currents and Concenrtation Changes”, Circ Res., 74:6 (1994), 1071–1113
[10] Jalife J., Gray R., “Drifting vortices of electrical waves underlie ventricular fibrillation in the rabbit heart”, Acta Physiol. Scand., 157 (1996), 123–131 | DOI
[11] Efimov I. R., Sambelashvili A. T., Nikolskii V. N., “Progress v izuchenii mekhanizmov elektricheskoi stimulyatsii serdtsa (chast 1)”, Vestnik aritmologii, 26 (2002), 91–96
[12] Gray R., Mornev O., Jalife J., Aslanidi O., Pertsov A., “Standing excitation waves in the heart induced by strong alternating electric fields”, Phys. Rev. Let., 87:16 (2001)
[13] Kantor B., Martynenko A., Yabluchansky M., “Mathematical model of myocardium”, Thermodynamics. School of Fund. Med. J., 1:1 (1995), 7–13
[14] Kantor B., Martynenko A., Yabluchansky M., “Mathematical model of myocardium”, Mechanics. School of Fund. Med. J., 2:1 (1996), 16–23
[15] Hidirova M. B., “Biomechanics of cardiac activation: the simplest equations and modelling results”, Russian Journal of Biomechanics, 5:2 (2001), 95–103
[16] Khidirova M. B., “Ob odnoi zamknutoi modeli serdechno-sosudistoi sistemy (SSS): Mekhanika vozbuzhdeniya serdechnoi tkani”, Problemy mekhaniki, 1998, no. 2, 39–43
[17] Hidirova M. B., “Modelling of regulation mechanisms of cardiovascular systems”, Scienticae Mathematicae Japonicae, 8 (2003), 427–432 | MR
[18] Khidirova M. B., “Ob odnoi zamknutoi modeli serdechno-sosudistoi sistemy (SSS): Norma i anomaliya serdechnoi deyatelnosti”, Problemy mekhaniki, 1998, no. 3, 29–33
[19] Khidirova M. B., “Ob odnoi zamknutoi modeli serdechno-sosudistoi sistemy (SSS): Osnovnye uravneniya i rezultaty vychislitelnykh eksperimentov”, Problemy mekhaniki, 1998, no. 5, 26–30
[20] Khidirov B. N., “Ob odnom metode issledovaniya regulyatoriki zhivykh sistem”, Voprosy kibernetiki, 1984, no. 128, 41–46
[21] Tikhonov A. N., “Sistemy differentsialnykh uravnenii, soderzhaschikh malye parametry”, Mat. sbornik, 31(73):3 (1952), 575 | MR | Zbl
[22] Romanovskii Yu. M., Stepanova N. V., Chernavskii D. S., Matematicheskaya biofizika, Nauka, M., 1984, 7–25 | MR
[23] Novozhilov I. V., Fraktsionnyi analiz, MGU, M., 1995, 73–81
[24] Kheil Dzh., Teoriya funktsionalno-differentsialnykh uravnenii, Mir, M., 1984, 1–166 | MR
[25] Glase L., Meki M., Ot chasov k khaosu. Ritmy zhizni, Mir, M., 1991, 248 pp. | MR
[26] Khidirova M. B., Programma dlya gibridnogo modelirovaniya serdechno-sosudistoi sistemy (REGUS), Svidetelstvo No 83. N ED GU 9700014. Zaregistrirovano v Gosudarstvennom reestre programm dlya EVM 24.04.1997
[27] Hidirova M. B., Adilova F. T., “Mathematical Modeling of Portal Hypertension”, Proceedings, Ninth World Congress on Medical Informatics (August 18–22, Korea, Seoul), eds. B. Cesnik, A. T. Mc. Gray. Press, Amsterdam–Berlin–Oxford–Tokyo–Washington, DS, 1998, 399
[28] Bellman 3., Kuk K., Differentsialno-raznostnye uravneniya, Mir, M., 1967, 548s. | MR | Zbl