List of Publications of V.N.Biktashev

March 25, 2024

Papers in journals

1.

S. Hussaini, A. Mamyraiym-Kyzy, J. Schröder-Schetelig, S.L. Lädke, V. Venkatesan, L. Diaz, R. Q. Uribe, C. Richter, V. N. Biktashev, R. Majumder, V. Krinski and S. Luther “Efficient Termination of Cardiac Arrhythmias using Optogenetic Resonant Feedback Pacing” Chaos, 34: 031103, 2024, DOI: 10.1063/5.0191519

2.

A. Aldurayhim and Vadim N. Biktashev “Exact Propagating Wave Solutions in Reaction Cross-Diffusion System” Chaos Solitons and Fractals X, 5:100049 2020, DOI: 10.1016/j.csfx.2020.100049

3.

C. D. Marcotte and V. N. Biktashev “Predicting critical ignition in slow-fast excitable models” Phys. Rev. E, 101:042201, 2020, DOI: 10.1103/PhysRevE.101.042201

4.

B. Bezekci and V.N. Biktashev “Strength-Duration Relationship in an Excitable Medium” Communications in Nonlinear Science and Numerical Simulation, 80: 104954, 2020, DOI: 10.1016/j.cnsns.2019.104954

5.

H. Dierckx, A. V. Panfilov, H. Verschelde, V. N. Biktashev and I. V. Biktasheva “Response function framework for the dynamics of meandering or large-core spiral waves and modulated traveling waves”, Phys. Rev. E, 99: 022217, 2019, DOI: 10.1103/PhysRevE.99.022217

6.

H. Dierckx, I. V. Biktasheva, H. Verschelde, A. V. Panfilov and V. N. Biktashev “Filament Tension and Phase-Locking of Meandering Scroll Waves”, Phys. Rev. Lett., 119: 258101, 2017, DOI: 10.1103/PhysRevLett.119.258101

7.

I. I. Sadreev, M. Z. Q. Chen, Y. Umezawa, V. N. Biktashev, C. Kemper, D. V. Salakhieva, G. I. Welsh and N. V. Kotov “The competitive nature of signal transducer and activator of transcription complex formation drives phenotype switching of T cells” Immunology, 2017, DOI: 10.1111/imm.12851

8.

T. Starý, V. N. Biktashev “Fast-slow asymptotics for a Markov chain model of fast sodium current” Chaos, 27: 093937, 2017, DOI: 10.1063/1.5003013

9.

B. Bezekci, V. N. Biktashev “Fast-slow asymptotic for semi-analytical ignition criteria in FitzHugh-Nagumo system” Chaos, 27: 093916, 2017, DOI: 10.1063/1.4999472

10.

M. Antonioletti, V. N. Biktashev, A. Jackson, S. R. Kharche, T. Stary, I. V. Biktasheva “BeatBox — HPC Simulation Environment for Biophysically and Anatomically Realistic Cardiac Electrophysiology” PLoS ONE 12(5): e0172292, 2017, DOI: 0.1371/journal.pone.0172292

11.

D. Hornung, V. N. Biktashev, N. F. Otani, T. K. Shajahan, T. Baig, S. Berg, S. Han, V. I. Krinsky, S. Luther “Mechanisms of vortices termination in the cardiac muscle” Roy Soc Open Science, 4: 170024, 2017, DOI: 10.1007/s00285-013-0669-3

12.

V. N. Biktashev and M. A. Tsyganov “Quasisolitons in self-diffusive excitable systems, or Why asymmetric diffusivity obeys the Second Law”, Scientific Reports, 6: 30879, 2016, DOI: 10.1038/srep30879

13.

B. Bezekci, I. Idris, R. D. Simitev and V. N. Biktashev “Semi-analytical approach to criteria for ignition of excitation waves”, Phys. Rev. E, 92: 042917, 2015, DOI: 10.1103/PhysRevE.92.042917

14.

S.R. Kharche, I.V. Biktasheva, G. Seeman, H. Zhang and V.N. Biktashev “A Computer Simulation Study of Anatomy Induced Drift of Spiral Waves in the Human Atrium”, BioMed Research International, 2015: 731386, 2015

15.

T. Starý and V. N. Biktashev, “Exponential integrators for a Markov chain model of the fast sodium channel of cardiomyocytes” IEEE Trans. BME, online: DOI: 10.1109/TBME.2014.2366466; printed: 62(4): 1070–1076, 2015

16.

I.V. Biktasheva, H. Dierckx and V.N. Biktashev, “Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations”, Phys. Rev. Lett., 114(6): 068302, 2015

17.

M. A. Tsyganov and V. N. Biktashev, “Classification of wave regimes in excitable systems with linear cross-diffusion” Phys. Rev. E, 90(6): 062912, 2014

18.

E. Nakouzi, Z. A. Jiménez, V. N. Biktashev and O. Steinbock, “Analysis of Anchor-Size Effects on Pinned Scroll Waves and Measurement of Filament Rigidity” Phys. Rev. E, 89: 042901, 2014

19.

S. West, L. J. Bridge, M. R. H. White, P. Paszek and V. N. Biktashev, “A method of `speed coefficients' for biochemical model reduction applied to the NF-kappaB system” J. Math. Biol., online: 2014: DOI: 10.1007/s00285-014-0775-x; printed: 70:591–620, 2015

20.

V. N. Biktashev, “A simple mathematical model of gradual Darwinian evolution: Emergence of a Gaussian trait distribution in adaptation along a fitness gradient ” J. Math. Biol., 68(5):1225–1248, 2014, DOI: 10.1007/s00285-013-0669-3

21.

K. Kenitz, R. G. Williams, J. Sharples, Ö. Selsil and V. N. Biktashev, “The paradox of the plankton: species competition and nutrient feedback sustain phytoplankton diversity” Marine Ecology Progress Series, 490:107–119, 2013, DOI: 10.3354/meps10452

22.

H. Dierckx, H. Verschelde, Ö. Selsil and V. N. Biktashev, “Buckling of scroll waves” Phys. Rev. Lett., 109(17):174102, 2012

23.

V.N. Biktashev and M. A. Tsyganov, “Envelope quasi-solitons in dissipative systems with cross-diffusion” Phys. Rev. Lett., 107(13):134101, 2011

24.

V.N. Biktashev, I.V. Biktasheva and N.A. Sarvazyan, “Evolution of spiral and scroll waves of excitation in a mathematical model of ischaemic border zone” PLoS ONE, 6(9):e24388, 2011

25.

R.D. Simitev and V.N. Biktashev “Asymptotics of conduction velocity restitution in models of electrical excitation in the heart” Bull. Math. Biol., 73(1):72-115, 2011

26.

A.J. Foulkes, D. Barkley, V.N. Biktashev, I.V. Biktasheva “Alternative stable scroll waves and conversion of autowave turbulence” Chaos, 20(4): 043136, 2010

27.

I.V. Biktasheva, D. Barkley, V.N. Biktashev and A.J. Foulkes “Computation of the Drift Velocity of Spiral Waves using Response Functions” Phys. Rev. E, 81(6): 066202, 2010

28.

A.J. Foulkes and V.N. Biktashev “Riding a Spiral Wave: Numerical Simulation of Spiral Waves in a Co-Moving Frame of Reference” Phys. Rev. E, 81(4): 046702, 2010

29.

V.N. Biktashev, D. Barkley and I.V. Biktasheva “Orbital motion of spiral waves in excitable media” Phys. Rev. Lett., 104(5): 058302, 2010

30.

V.N. Biktashev and M.A. Tsyganov “Spontaneous traveling waves in oscillatory systems with cross diffusion” Phys. Rev. E, 80: 056111, 2009

31.

M.A. Tsyganov, V.N. Biktashev and G.R. Ivanitsky “Negative Refractoriness in Excitable Systems with Cross-diffusion” Biofizika, 54(4): 704–709, 2009

32.

M.A. Tsyganov, G.R. Ivanitsky and V.N. Biktashev “Running tails as codimension two quasi-solitons in excitation taxis waves with negative refractoriness” Chaos Solitons and Fractals, 40: 2271–2276, 2009

33.

I.V. Biktasheva, D. Barkley, V. N. Biktashev, G.V. Bordyugov and A.J. Foulkes, “Computation of the response functions of spiral waves in active media” Phys. Rev. E, 79(5):056702, 2009

34.

S.W. Morgan, G. Plank, I.V. Biktasheva and V. N. Biktashev “Low energy defibrillation in human cardiac tissue: a simulation study” Biophys. J., 96(4):1364–1373, 2009

35.

I. Idris and V.N. Biktashev “Analytical approach to initiation of propagating fronts” Phys. Rev. Lett., 101: 244101, 2008

36.

S.W. Morgan, I.V. Biktasheva and V.N. Biktashev “Control of scroll wave turbulence using resonant perturbations” Phys. Rev. E, 78: 046207 2008

37.

V.N. Biktashev, A Arutunyan and N.A. Sarvazyan “Generation and escape of local waves from the boundary of uncoupled cardiac tissue” Biophys. J., 94: 3726-3738, 2008

38.

V.N. Biktashev, R. Suckley, Y.E. Elkin and R.D. Simitev “Asymptotic analysis and analytical solutions of a model of cardiac excitation” Bull. Math. Biol., 70(2):517-554, 2008

39.

I. Idris and V. N. Biktashev “Critical fronts in initiation of excitation waves” Phys. Rev. E, 76(2): 021906, 2007

40.

M.A. Tsyganov, V.N. Biktashev, J. Brindley, A.V. Holden and G.R. Ivanitsky “Waves in systems with cross-diffusion as a new class of nonlinear waves” Uspekhi Fizicheskikh Nauk 177(3):233-234 (in Russian), Physics-Uspekhi 50(3):275-300), 2007

41.

I.V. Biktasheva, A.V. Holden and V.N. Biktashev “Localization of response functions of spiral waves in the FitzHugh-Nagumo system” Int. J. Bifurcation & Chaos, 16(5):1547–1555, 2006

42.

C. Zemlin, K. Mukund, V. Biktashev and A. Pertsov “Dynamics of Bound States of Same-Chirality Spiral Waves” Phys. Rev. E, 74:016207, 2006 (2006)

43.

I.V. Biktasheva, R.D. Simitev, R.S. Suckley and V. N. Biktashev “Asymptotic properties of mathematical models of excitability” Phil Trans Roy Soc A, 364(1842):1283–1298, 2006

44.

R.D. Simitev and V. N. Biktashev “Conditions for propagation and block of excitation in an asymptotic model of atrial tissue” Biophys. J., 90(7) 2258-2269, 2006

45.

V.N. Biktashev and M.A. Tsyganov “Solitary waves in excitable systems with cross-diffusion”, Proc. Roy. Soc. London A, 461(2064): 3711–3730, 2005

46.

V.N. Biktashev “Causodynamics of autowave patterns” Phys. Rev. Lett., 95(8):084501, 2005

47.

J. Brindley, V.N. Biktashev and M.A. Tsyganov “Invasion waves in populations with excitable dynamics”, Biological Invasions, 7: 807–816, 2005

48.

V.N. Biktashev, J. Brindley, A.V. Holden and M.A. Tsyganov “Pursuit-evasion predator-prey waves in two spatial dimensions”, Chaos, 14(4):988–994, 2004

49.

V.N. Biktashev and R. Suckley “Non-Tikhonov Asymptotic Properties of Cardiac Excitability”, Phys. Rev. Lett., 93(16):168103, 2004

50.

M.A. Tsyganov and V.N. Biktashev “Half-soliton interaction of population taxis waves in predator-prey systems with pursuit and evasion”, Phys. Rev. E, 70(2):031901, 2004

51.

M.A. Tsyganov, J. Brindley, A.V. Holden and V.N. Biktashev “Soliton-like phenomena in one-dimensional cross-diffusion systems: a predator-prey pursuit and evasion example”, Physica D, 197(1–2):18–33, 2004

52.

V.N. Biktashev and J. Brindley “Phytoplankton blooms and fish recruitment rate: Effects of spatial distribution”, Bull. Math. Biol., 66(2): 233–259, 2004

53.

I.V. Biktasheva, V.N. Biktashev, W.N. Dawes, A.V. Holden, R.C. Saumarez and A.M.Savill “Dissipation of the excitation front as a mechanism of self-terminating arrhythmias”, Int. J. Bifurcation & Chaos, 13(12): 3645–3656, 2003

54.

V.N. Biktashev “A simplified model of propagation and dissipation of excitation fronts”, Int. J. Bifurcation & Chaos, 13(12): 3605–3620, 2003

55.

R. Suckley and V.N. Biktashev “The asymptotic structure of the Hodgkin-Huxley equations”, Int. J. Bifurcation & Chaos, 13(12): 3805–3826, 2003

56.

M.A. Tsyganov, J. Brindley, A.V. Holden and V.N. Biktashev “Quasi-soliton interaction of pursuit-evasion waves in a predator-prey system”, Phys. Rev. Lett., 91, 218102, 2003

57.

R. Suckley and V.N. Biktashev, “Comparison of Asymptotics of Heart and Nerve Excitability”, Phys. Rev. E, 68, 011902, 2003

58.

I.V. Biktasheva and V.N. Biktashev “On a wave-particle dualism of spiral waves dynamics”, Phys. Rev. E, 67, 026221, 2003

59.

V.N. Biktashev, J. Brindley and J.W. Horwood, “Phytoplankton blooms and fish recruitment rate”, J. Plankton Research, 5(1): 21–33, 2003

60.

V.N. Biktashev “Envelope Equations for Modulated Non-conservative Waves”, Cubo Matemática Educacional, 5(1): 289–324, 2003

61.

V.N. Biktashev, “Dissipation of the excitation wavefronts”, Phys. Rev. Lett., 89(16): 168102, 2002

62.

O.V. Aslanidi, A. Bayley, V.N. Biktashev, R.H. Clayton and A.V. Holden, “Enhanced self-termination of re-entrant arrhythmias as a pharmacological strategy for anti-arrhythmic action”, Chaos, 12(3): 843-851, 2002

63.

Y.E. Elkin, V.N. Biktashev and A.V. Holden Waves of constant shape and the structure of the “rotors boundary” in excitable media. Chaos Solitons and Fractals, 14: 385–395, 2002

64.

A. V. Holden and V.N. Biktashev, “Computational Biology of Propagation in Excitable Media Models of Cardiac Tissue”, Chaos Solitons and Fractals, 13: 1643–1658, 2002

65.

V.N. Biktashev, A.V. Holden, S.F. Mironov, A.M. Pertsov and A.V. Zaitsev, “Three-dimensional organisation of re-entrant propagation during experimental ventricular fibrilation”, Chaos Solitons and Fractals, 13(8): 1713–1733, 2002

66.

V.N. Biktashev and A.V. Holden Characterisation of Patterned Irregularity in Locally Interacting, Spatially Extended Systems: Ventricular Fibrillation Chaos, 11: 653–664, 2001

67.

M.A. Tsyganov, G.V. Aslanidi, V.Y. Shakhbazian, V.N. Biktashev and G.R. Ivanitsky “Non-stationary dynamics of bacterial population waves”, Doklady Akademii Nauk, 380(6): 828–833, 2001 (in Russian)

68.

V.N. Biktashev, A.V. Holden, S.F. Mironov, A.M. Pertsov and A.V. Zaitsev, “On two mechanisms of the domain structure of ventricular fibrillation”, Int. J. Bifurcation & Chaos, 11(4): 1035–1051, 2001

69.

Clayton, R. H., Bailey, A., Biktashev, V. N. and Holden, A. V. “Re-entrant Cardiac Arrhythmias in Computational Models of Long QT Myocardium”, J. Theor. Biol., 208:215–225, 2001

70.

I.V. Biktasheva & V.N. Biktashev “Response Functions of Spiral Wave Solutions of the Complex Ginzburg-Landau Equation” J. Nonlin. Math. Phys., 8 Supplement: 28–34, 2001

71.

V.N. Biktashev and A.V. Holden, “Re-entrant Arrhythmias and their Control in Models of Mammalian Cardiac Tissue”, Journal of Electrocardiology, 32 Supplement: 76–83, 1999

72.

E. V. Nikolaev, V. N. Biktashev & A. V. Holden “On bifurcations of spiral waves in the plane”, Int. J. Bifurcation & Chaos 9(8):1501–1516, 1999

73.

I. V. Biktasheva, Yu. E. Elkin & V.N.Biktashev, “Resonant drift of spiral waves in the Complex Ginzburg-Landau Equation”, J. Biol. Phys. 25(2):115–128, 1999

74.

Yu. E. Elkin & V.N. Biktashev “Drift of large core spiral waves in inhomogeneous excitable media”, J. Biol. Phys. 25(2):129–147, 1999

75.

V. N. Biktashev, I. V. Biktasheva, J. Brindley, A. V. Holden, N. A. Hill & M. A. Tsyganov, “Effects of shear flows on nonlinear waves in excitable media”, J. Biol. Phys. 25(2): 101–113, 1999

76.

V. N. Biktashev, I. V. Biktasheva, A. V. Holden, M. A. Tsyganov, J. Brindley, N. A. Hill “Spatiotemporal irregularity in an excitable medium with shear flow”, Phys. Rev. E 60(2): 1897-1900, 1999

77.

V.N. Biktashev, A.V. Holden, S.F. Mironov, A.M. Pertsov and A.V. Zaitsev, “Three dimensional aspects of re-entry in experimental and numerical models of ventricular fibrillation”, Int. J. Bifurcation & Chaos 9(4): 694–704, 1999

78.

V. N. Biktashev, A. V. Holden, M. A. Tsyganov, J. Brindley, N. A. Hill “Excitation wave breaking in excitable media with linear shear flow”, Phys. Rev. Lett., 81(13): 2815–2818, 1998

79.

Yu.E. Elkin, V.N. Biktashev & A.V. Holden “On the movement of excitation wave breaks” Chaos Solitons & Fractals, 9(9): 1597–1610, 1998

80.

V.N. Biktashev “A Three-Dimensional Autowave Turbulence” Int. J. Bifurcation & Chaos, 8(4): 677–684, 1998

81.

V.N. Biktashev & A.V. Holden “Deterministic Brownian motion in the hypermeander of spiral waves” Physica D, 116(3-4): 342–354, 1998

82.

E.V. Nikolaev, V.N.Biktashev & A.V.Holden “On Feedback Resonant Drift and Interaction with the Boundaries in Circular and Annular Excitable Media” Chaos Solitons & Fractals, 9(3):363–376, 1998

83.

I.V. Biktasheva, Yu.E. Elkin & V.N. Biktashev “Localised sensitivity of spiral waves in the Complex Ginzburg-Landau Equation” Phys. Rev. E, 57(3): 2656–2659, 1998

84.

V.N. Biktashev & A.V. Holden “Re-entrant waves and their elimination in a model of mammalian ventricular tissue” Chaos, 8(1):48–56, 1998

85.

V.N. Biktashev, A.V. Holden & H. Zhang “A model for the action of external current onto excitable tissue” Int. J. Bifurcation & Chaos, 7(2):477–485, 1997

86.

V.N. Biktashev, A.V. Holden & E.V. Nikolaev “Spiral wave meander and symmetry of the plane” Int J Bifurcation and Chaos, 6(12A):2433–2440, 1996

87.

V.N. Biktashev & A.V. Holden “Re-entrant activity and its control in a model of mammalian ventricular tissue” Proc Roy Soc London B 263: 1373–1382, 1996 (click here to see Errata).

88.

V.N. Biktashev & A.V. Holden “Control of re-entrant activity in a model of mammalian atrial tissue” Proc Roy Soc Lond B 260: 211–217, 1995

89.

V.N. Biktashev & A.V. Holden “Resonant drift of autowave vortices in 2D and the effects of boundaries and inhomogeneities” Chaos, Solitons and Fractals 5(3,4): 575-622, 1995

90.

R.R. Aliev & V.N. Biktashev “Dynamics of the Oscillation Phase Distribution in the BZ reaction” J. Phys. Chem. 98(38): 9676–9681, 1994

91.

V.N. Biktashev & A.V. Holden “Design Principles of a Low-Voltage Cardiac Defibrillator Based on the Effect of Feed-Back Resonant Drift” J. Theor. Biol. 169(2): 101–113, 1994

92.

V.N. Biktashev, A.V. Holden & H. Zhang, “Tension of Organizing Filaments of Scroll Waves” Phil. Trans. Roy. Soc. London, ser A 347: 611–630, 1994

93.

Yu.A. Kuznetsov, M.Ya. Antonovsky, V.N. Biktashev & E.A. Aponina “A cross-diffusion model of forest boundary dynamics” J. Math. Biol. 32: 219–232, 1994

94.

V. Biktashev, V. Krinsky & H. Haken “A Wave Approach to Pattern Recognition (with application to Optical Character Recognition)” Int. J. Bif. and Chaos 4(1): 193–207, 1994

95.

C.F. Starmer, V.I. Krinsky, V.N. Biktashev, D.N. Romashko, O.N. Makarova & M.R. Stepanov “Vulnerability in an Excitable Medium: Analytical and Numerical Studies of Initiating Unidirectional Propagation” Biophys. J. 65(5): 1775–1787, 1993

96.

V.N. Biktashev & A.V. Holden “Resonant Drift of an autowave vortex in a Bounded Medium” Physics Letters A 181(3): 216–224, 1993

97.

V.I. Krinsky, V.N. Biktashev & I.R. Efimov “Autowave principles for parallel image processing” Physica D, 49(1&2): 247–253, 1991

98.

A.M. Pertsov, V.N. Biktashev, E.A. Ermakova & V.I. Krinsky “On the possibility of lowering considerably the defibrillation current at a proper choice of the defibrillation pulse release time. The mathematical model” Biofizika 35(3): 500–503, 1990 (in Russian)

99.

V.I. Krinsky, A.M. Pertsov & V.N. Biktashev “Autowave approaches to cessation of reentrant arrhythmias” Ann. N. Y. Acad. Sci. 591: 232–246, 1990.

100.

V.N. Biktashev “Diffusion of Autowaves. Evolution equation for slowly varying autowaves” Physica D 40(1): 83–90, 1989

101.

V.N. Biktashev “Evolution of twist of an autowave vortex” Physica D 36(2): 167–172, 1989.

Contributions to books and collected works

102.

T. Stary and V.N. Biktashev, “Evaluating exponential integrators for Markov chain ion channel models”, Computing in Cardiology, 42:885–888, 2015

103.

S.R. Kharche, I.V. Biktasheva, G. Seemann, H. Zhang, J. Zhao and V.N. Biktashev “Computational Modelling of Low Voltage Resonant Drift of Scroll Waves in the Realistic Human Atria” Lecture Notes in Computer Science, 9126: 421–429, 2015

104.

V.N. Biktashev and I.V. Biktasheva, Dynamics of Filaments of Scroll Waves, , in Engineering Chemical Complexity II, Chapter 13, pages 221–238, A.S. Mikhailov and G. Ertl (editors), World Scientific Lecture Notes in Complex Systems - Vol. 12, World Scientific, New Jersey et al., 2015, ISBN: 978-981-4616-12-6

105.

V.N. Biktashev Scroll Wave Turbulence Scholarpedia, 9(3):1835, 2014

106.

I.V. Biktasheva, N.A. Sarvazyan and V.N. Biktashev, “Dynamics of Scroll Waves of Excitation in a Mathematical Model of Ischaemic Border Zone”, Computing in Cardiology, 39:445–448, 2012

107.

S. Kharche, I. Biktasheva, G. Seemann, H. Zhang and V. Biktashev, “Cardioversion Using Feedback Stimuli in Human Atria”, Computing in Cardiology, 39:133–136, 2012

108.

V. N. Biktashev, D. Barkley, I. V. Biktasheva, G. V. Bordyugov, H. Dierckx, A. J. Foulkes, S. W. Morgan, G. Plank, N. A. Sarvazyan, O. Selsil and H. Verschelde, “Asymptotic dynamics and control of spiral and scroll waves” in Proceedings of the International Conference Instabilities and Control of Excitable Networks: From Macro- to Nano-Systems, Dolgoprudny, Russia, May 25-30, 2012, pp. 8–18

109.

M.A. Tsyganov, V.N. Biktashev and G.R. Ivanitsky “Self-organization in population systems with taxis”, in Dynamical models incells and subcell nanostructures, pages 285–305, G. Yu. Riznichenko and A. B. Rubin (eds), Izhevsk, 2010, ISBN: 978-5-93972-783-9 (in Russian)

110.

M.A. Tsyganov and V.N. Biktashev “Waves in excitable systems with nonlinear cross-diffusion”, in Nonlinear Waves 2010, pages 244-257, A.V. Gaponov-Grekhov and V.I. Nekorkin (eds), Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod, 2010 (in Russian)

111.

V.N. Biktashev “Resonance and feedback strategies for low-voltage defibrillation” , Chapter 6.2 in Cardiac Bioelectric Therapy. Mechanisms and Practical Implications, pages 493–510, I.R. Efimov, M.W. Kroll and P.J. Tchou (eds), Spinger, 2009

112.

M.A. Tsyganov and V.N. Biktashev “Soliton and half-soliton interaction of waves in excitable systems with nonlinear cross-diffusion”, Computer Research and Modelling 1(1):109–115 (in Russian)

113.

I.V. Biktasheva, S.W. Morgan, G. Plank and V.N. Biktashev “Feedback Control of Resonant Drift as a Tool for Low Voltage Defibrillation”, Computers in Cardiology, 35:501–504, 2008

114.

V.N. Biktashev and I. Idris “Initiation of Excitation Waves: An Analytical Approach”, Computers in Cardiology, 35:311–314, 2008

115.

V.N. Biktashev Drift of Spiral Waves Scholarpedia, 2(4): 1836, 2007

116.

R.D. Simitev, V.N. Biktashev “Analytically Solvable Asymptotic Model of Atrial Excitability”, in Proceedings of The European Conference on Mathematical and Theoretical Biology, Dresden, July 18-22, 2005, vol. 2, pp. 313–326, 2007.

117.

I. Idris, R.D. Simitev and V.N. Biktashev “Using Novel Simplified Models of Excitation for Analytic Description of Initiation Propagation and Blockage of ExcitationWaves”, Computers in Cardiology, 33:213–216, 2006

118.

I.V. Biktasheva, V.N. Biktashev, A.V. Holden “Wavebreaks and self-termination of spiral waves in a model of human atrial tissue” Lecture Notes in Computer Science, 3504: 293–303, 2005

119.

V.N. Biktashev and I.V. Biktasheva “Dissipation of excitation fronts as a mechanism of conduction block in re-entrant waves” Lecture Notes in Computer Science, 3504: 283–292, 2005

120.

M. A. Tsyganov and V. N. Biktashev “Soliton and halfsoliton interactions of population taxis waves” , in Proceedings of XII Conference “Education, Computing, Mathematics”, 3: 1012–1021, G. Yu. Riznichenko (ed.), Izhevsk, 2005 (in Russian)

121.

V.N. Biktashev “Vortex dynamics in excitable media”, in Encyclopedia of Nonlinear Science, pp. 974–978, ed. by Alwyn Scott, Routledge, New York – London, 2005

122.

V.N. Biktashev “Envelope Equations for Modulated Non-conservative Waves”, in IUTAM Symposium Asymptotics, Singularities and Homogenisation in Problems of Mechanics, pp. 525–535 ed. by A.B. Movchan, Kluwer, Dordrecht–Boston–London, 2003

123.

R.H. Clayton, D.J. Yu, M. Small, V.N. .Biktashev, R.G. Harrison and A.V. Holden “Linear and Nonlinear Characteristics of ECG Signals Produced by Simulations of Ventricular Tachyarrhithmias”, Computers in Cardiology 26:479–482, 1999

124.

R. H. Clayton, A. Bailey, V. N. .Biktashev and A. V. Holden “Re-entrant Arrhythmias in Simulations of the Long-QT Syndrome”, Computers in Cardiology 26:121–124, 1999

125.

V.N. Biktashev “Control of Re-entrant Vortices by Electrical Stimulation”, chapter 5 of Computational Biology of the Heart, pp. 137–171, eds. A.V. Panfilov and A.V. Holden, John Wiley & Sons, Chichester – New York – Weinheim – Brisbane – Singapore – Toronto, 1997

126.

Yu.A. Kuznetsov, V.N. Biktashev, E.A. Aponina & M.Ya. Antonovsky “The Cross-Diffusion Model of Forest Boundary Dynamics”, in Problems of Ecological Monitoring and Ecosystem Modelling, vol. XVI, pp. 213–227, eds. Yu.A. Izrael, S.M. Semenov, V.A. Abakumov, G.E.Insarov & A.E. Kukhta, Gidrometeoizdat, St. Petersburg, 1996 (in Russian)

127.

V.N. Biktashev & A.M. Molchanov “A Macrodynamical Approach to the Analysis of Neural Networks” in The RNNS/IEEE Symposium on Neuroinfomatics and Neurocomputers pp.948–958, IEEE, 1992.

128.

V. Biktashev, “On the geometrical optics for nonlinear waves” in Nonlinear Dispersive Wave Systems, L. Debnath, ed., pp. 481–506, World Scientific, Singapore, 1992.

129.

V. Krinsky, A. Pertsov, V. Fast & V. Biktashev "A study of the autowave mechanisms of cardiac arrhythmias", in Nonlinear Wave Processes in Excitable Media, pp. 5-13, eds A.V.Holden, M.Markus, H.G.Othmer, Plenum Press, New York, 1991

130.

V.N. Biktashev, “Drift of a reverberator in an active medium due to interaction with boundaries” in Nonlinear Waves. Dynamics and Evolution, eds. A.V. Gaponov-Grekhov, M.I. Rabinovich, pp. 316–324, Nauka, Moscow, 1989 (in Russian),

in Nonlinear Waves II. Dynamics and evolution, pp. 87–96, eds A.V. Gaponov-Grekhov, M.I. Rabinovich and J. Engelbrecht, Springer, Berlin, ISSN 978-3-642-74366-5, 1989 (English version).

Preprints etc

131.

A. I. Aptekarev, A. L. Afendikov, F. I. Ataullakhanov, N. K. Balabaev, V. N. Biktashev, I. V. Biktasheva, R. M. Boricyuk, N. D. Vvedenskaya, R. D. Dagkesamanskii, Yu. G. Zarhin, Yu. S. Ilyashenko, V. D. Lakhno, V. Yu. Lunin, N. L. Lunina, E. V. Nikolaev, V. S. Posvyanskii, M. A. Roitberg, V. S. Ryaben'kii, L. B. Ryashko, Ya. G. Sinai, V. M. Tikhomirov, A. A. Tokarev, A. G. Urzhumtsev, A. I. Khibnik, “To the memory of Emmanuil El'evich Shnol”, Uspekhi Mat. Nauk, volume 72 issue 1(433) pp. 197–208, 2017, DOI: 10.4213/rm9751

132.

Yu.E. Elkin & V.N. Biktashev “On the movement of excitation wave breaks” preprint, Pushchino Research Center, 1996

133.

Yu.E. Elkin & V.N. Biktashev “Rotating waves in excitable media of circular shape” preprint, Pushchino Research Center, 1995

134.

V.N. Biktashev & A.M. Molchanov, “A Macrodynamical Approach to the Analysis of Neural Networks” preprint, Pushchino, 1992, 14 pp. (in English)

135.

V.N. Biktashev, “Evolution of vortices in active media” autoreferat of Ph.D.thesis, Moscow Institute of Physics and Technology, 1989, 23 pp. (in Russian)

136.

V.N. Biktashev, “Evolution of vortices in active media” Ph.D. thesis, Moscow Institute of Physics and Technology, 1989, 150 pp. (in Russian), DOI: 10.13140/RG.2.1.1646.7922

137.

V.N. Biktashev, “Resonant drift of an autowave vortex in inhomogeneous or bounded medium” preprint, Pushchino, 1989, 14 pp. (in Russian)

138.

V.N. Biktashev “Interaction of the simplest three-dimensional autowave vortex with external waves” preprint, Pushchino, 1989, 24 pp. (in Russian)

139.

V.N. Biktashev, “Diffusion of autowaves” preprint, Pushchino, 1989, 30 pp. (in Russian)

140.

V.N. Biktashev, “Evolution of twist of an autowave vortex” preprint, Pushchino, 1988, 8 pp. (in Russian)

141.

V.N. Biktashev, “Drift of a reverberator in an active medium due to interaction with boundaries” preprint, Pushchino, 1986, 23 pp. (in Russian)

142.

V.N. Biktashev, “Transitions between alternative dissipative structures as a possible mechanism of induction of pathological embryonic forms in insects” manuscript, deponent VINITI N2567–84, 23 Apr. 1984, 11 pp. (in Russian)