mathematical physics of bioobjects, cardiophysics, physiome, bifurcation memory
Main publications:
A. Moskalenko, R. Tetuev, S. Makhortykh, “Mathematical bases and perspectives of cardiophysics”, (The advantages of using the generalized spectral-analytical method for solving cardiophysical tasks related to mathematical modeling or processing of biomedical signals are analyzed and described.), The scientific heritage, 56:2 (2020), 13–32
A. V. Moskalenko, R. K. Tetuev, S. A. Makhortykh, “On studies of bifurcation phenomena such as memory and delay”, (The bifurcation phenomena of memory and delay are associated with the ideas about dynamic bifurcation, slow time, and fast-slow systems. The review presents an analysis of literary sources on these topics. According to the authors explanation of these phenomena proposed here, they should be classified as the manifestations of the structural instability of the system.), KIAM Preprint, 2019, № 109, 1–44
A. V. Moskalenko, Yu. E. Elkin, “The lacet: a new type of the spiral wave behavior”, (A new type of autowave behavior in a homogeneous two-dimensional autowave medium was found. At that regime, the spiral wave tip motion transforms from two-periodic meander into one-periodic circular rotation due to spontaneous deceleration of spiral wave drift. This discovery might be useful for insight into the nature of different phenomena, and, in particular, for comprehension of some potentially life-threatening cardiac arrhythmias.), Chaos, Solitons and Fractals, 40:1 (2009), 426–431
A. V. Moskalenko, A. V. Rusakov, Yu. E. Elkin, “A new technique of ECG analysis and its application to evaluation of disorders during ventricular tachycardia”, (The technique of data processing maps an ECG fragment onto two real indices. As result, new detailed quantitative description of polymorphic ECGs was introduced.), Chaos, Solitons and Fractals, 36:1 (2008), 66–72
Moskalenko A.V., Elkin Yu. E., “Is monomorphic tachycardia indeed monomorphic?”, (The dependence of some ECG characteristics on the excitation threshold was studied by mathematical modeling of cardiac arrhythmia in a 2D homogeneous excitable medium. It is shown that monomorphic tachycardias can arise both at elevated and at lowered excitability but the ECG characteristics in these cases are different.), Biophysics, 52:2 (2007), 237–240
Yu. E. El'kin, A. V. Moskalenko, Ch. F. Starmer, “Spontaneous halt of spiral wave drift in homogeneous excitable media”, Mat. Biolog. Bioinform., 2:1 (2007), 1–9
2.
A. V. Moskalenko, R. K. Tetuev, S. A. Makhortykh, “On the current state of the theory of oscillations”, Keldysh Institute preprints, 2019
3.
A. V. Moskalenko, R. K. Tetuev, S. A. Makhortykh, “On studies of bifurcation phenomena such as memory and delay”, Keldysh Institute preprints, 2019
4.
A. V. Moskalenko, “Tachycardia as “Shadow Play””, Tachycardia, ISBN 978-953-51-0413-1, eds. Takumi Yamada, InTech, Croatia, 2012, 97–122 (download: for free)
A. V. Moskalenko, “Basic Mechanisms of Cardiac Arrhythmias”, Cardiac Arrhythmias — Mechanisms, Pathophysiology, and Treatment, ISBN 978-953-51-1221-1, eds. Wilbert S. Aronow, InTech, Croatia, 2014, 1–44 (download: for free)
A. V. Moskalenko, A. V. Rusakov, Yu. E. Elkin, “A new technique of ECG analysis and its application to evaluation of disorders during ventricular tachycardia”, Chaos, Solitons and Fractals, 36:1 (2008), 66–72
A. V. Moskalenko, R. K. Tetuev, S. A. Makhortykh, “Historical notices about mathematical physics of the heart in Russia”, Keldysh Institute preprints, 2018
9.
A. V. Moskalenko, Yu. E. Elkin, “Is monomorphic tachycardia indeed monomorphic?”, Biophysics, 52:2 (2007), 237–240
10.
A. V. Moskalenko, S. A. Makhortykh, “Bifurcation spot on the parametric portrait of the two-dimensional version of the Aliev—Panfilov model”, Keldysh Institute preprints, 2024
11.
A. Moskalenko, R. Tetuev, S. Makhortykh, “Mathematical bases and perspectives of cardiophysics”, The scientific heritage, 56:2 (2020), 13–32 (Published online)
12.
A. V. Moskalenko, “Bifurcation memory in mathematical physics of biological objects: the current state of research”, Proceedings of the 6th International Conference on Mathematical Biology and Bioinformatics — ICMBB-2016 (Pushchino, Russia, October 16–21), eds. V. D. Lakhno, MAKS Press, Moscow, 2016, 32–33 (download: icmbb16_avm1_en.pdf)
13.
A. V. Moskalenko, “Cardiophysics as a revision of biophysics of the heart”, Proceedings of the 6th International Conference on Mathematical Biology and Bioinformatics — ICMBB-2016 (Pushchino, Russia, October 16–21), eds. V. D. Lakhno, MAKS Press, Moscow, 2016, 45–46 (download: icmbb16_avm2_en.pdf)
14.
Yu. E. Elkin, A. V. Moskalenko, “Bazovye mekhanizmy aritmii serdtsa”: A. V. Ardashev, Klinicheskaya aritmologiya, eds. A. V. Ardashev, M.: ID Medpraktika-M, 2009, 45–74 (skachat PDF)
15.
A. V. Moskalenko, N. I. Kukushkin, C. F. Starmer, A. A. Deev, K. N. Kukushkina, A. B. Medvinsky, “Quantitative analysis of variability of the electrocardiograms typical of polymorphic arrhythmias”, Biophysics, 46:2 (2001), 313–323
16.
S. A. Makhortykh, A. V. Moskalenko, “Bifurcation structure of the two-dimensional Aliev–Panfilov model”, Mat. Model., 37:4 (2025), 174–189
