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Publications

_{Copyright Notice: Any articles made available for download are for personal use only. Any other use requires prior permission of the author and the copyright holder.}

| 2024 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 | 2000 | 1999 | 1998 | 1997 | 1996 | 1995 | 1994 | 1993 | 1992 | 1991 | 1990 | 1989 |

2024

• Hussaini S, Mamyraiym-Kyzy A, Schröder-Schetelig J, Lädke SL, Venkatesan V, Diaz L, Uribe RQ, Richter C, Biktashev V, Majumder R. (2024) Efficient Termination of Cardiac Arrhythmias using Optogenetic Resonant Feedback Pacing, Chaos: An Interdisciplinary Journal of Nonlinear Science, volume 34, pages 031103-031103, DOI:10.1063/5.0191519.

2020

• Aldurayhim A, Biktashev VN. (2020) Exact Propagating Wave Solutions in Reaction Cross-Diffusion System, DOI:10.48550/arxiv.2004.07962.
• Biktashev VN, Melbourne I. (2020) St. Petersburg paradox for quasiperiodically hypermeandering spiral waves. [PDF]

2019

• Marcotte CD, Biktashev VN. (2019) Predicting critical ignition in slow-fast excitable models, DOI:10.48550/arxiv.1911.07908.
• Dierckx H, Panfilov AV, Verschelde H, Biktashev VN, Biktasheva IV. (2019) A response function framework for the dynamics of meandering or large-core spiral waves and modulated traveling waves, DOI:10.48550/arxiv.1901.05530.

2018

• Ramlugun GS, Thomas B, Biktashev VN, Fraser DP, LeGrice IJ, Smaill BH, Zhao J, Biktasheva IV. (2018) Dynamics of cardiac re-entry in micro-CT and serial histological sections based models of mammalian hearts. [PDF]
• Sadreev II, Chen MZQ, Umezawa Y, Biktashev VN, Kemper C, Salakhieva DV, Welsh GI, Kotov NV. (2018) The competitive nature of signal transducer and activator of transcription complex formation drives phenotype switching of T cells, Immunology, volume 153, no. 4, pages 488-501, DOI:10.1111/imm.12851. [PDF]

2017

• Krinsky VI, Biktashev VN, Otani NF, Luther S. (2017) Vortices Termination in the Cardiac Muscle, Advances in Dynamics, Patterns, Cognition, Springer Nature, 279-294, DOI:10.1007/978-3-319-53673-6_17.
• Bezekci B, Biktashev VN. (2017) Fast-slow asymptotic for semi-analytical ignition criteria in FitzHugh-Nagumo system, DOI:10.48550/arxiv.1703.08678.
• Stary T, Biktashev VN. (2017) Fast-slow asymptotics for a Markov chain model of fast sodium current, DOI:10.48550/arxiv.1703.09418.
• Sadreev II, Chen MZQ, Umezawa Y, Biktashev VN, Kemper C, Salakhieva DV, Welsh GI, Kotov NV. (2017) The competitive nature of STAT complex formation drives phenotype switching of T cells, DOI:10.48550/arxiv.1701.05503.
• Aptekarev AI, Afendikov AL, Ataullakhanov FI, Balabaev NK, Biktashev VN, Biktasheva IV, Borisyuk RM, Vvedenskaya ND, Dagkesamanskii RD, Zarhin YG. (2017) Памяти Эммануила Эльевича Шноля, Russian Mathematical Surveys, volume 72, no. 1(433), pages 197-208, DOI:10.4213/rm9751.
• Aptekarev AI, Afendikov AL, Ataullakhanov FI, Balabaev NK, Biktashev VN, Biktasheva IV, Borisyuk RM, Vvedenskaya ND, Dagkesamanskii RD, Zarkhin YG. (2017) To the memory of Emmanuil El'evich Shnol, RUSSIAN MATHEMATICAL SURVEYS, volume 72, no. 1, pages 185-198, DOI:10.1070/RM9751. [PDF]
• Stary T, Biktashev VN. (2017) Fast-slow asymptotics for a Markov chain model of fast sodium current, Chaos, 27: 093937, 2017. [PDF]
• Bezekci B, Biktashev VN. (2017) Fast-slow asymptotic for semi-analytical ignition criteria in FitzHugh-Nagumo system, Chaos, volume 27, no. 9, DOI:10.1063/1.4999472.
• Dierckx H, Biktasheva IV, Verschelde H, Panfilov AV, Biktashev VN. (2017) Filament Tension and Phase Locking of Meandering Scroll Waves, Physical Review Letters, volume 119, no. 25, DOI:10.1103/PhysRevLett.119.258101.
• Hornung D, Biktashev VN, Otani NF, Shajahan TK, Baig T, Berg S, Han S, Krinsky VI, Luther S. (2017) Mechanisms of vortices termination in the cardiac muscle, Royal Society Open Science, volume 4, no. 3, DOI:10.1098/rsos.170024.
• Antonioletti M, Biktashev VN, Jackson A, Kharche SR, Stary T, Biktasheva IV. (2017) BeatBox—HPC simulation environment for biophysically and anatomically realistic cardiac electrophysiology, PLOS ONE, volume 12, no. 5, pages e0172292-e0172292, DOI:10.1371/journal.pone.0172292. [PDF]

2016

• Bezekci B, Biktashev VN. (2016) Strength-Duration Relationship in an Excitable Medium, DOI:10.48550/arxiv.1612.03502.
• Biktashev VN, Tsyganov MA. (2016) Quasisolitons in self-diffusive excitable systems, or Why asymmetric diffusivity does not violate the Second Law, DOI:10.48550/arxiv.1605.00521.
• Hornung D, Biktashev VN, Otani NF, Shajahan TK, Baig T, Berg S, Han S, Krinsky V, Luther S. (2016) Mechanisms of vortices termination in the cardiac muscle, DOI:10.48550/arxiv.1605.07222.
• Antonioletti M, Biktashev VN, Jackson A, Kharche SR, Stary T, Biktasheva IV. (2016) BeatBox - HPC Simulation Environment for Biophysically and Anatomically Realistic Cardiac Electrophysiology, DOI:10.48550/arxiv.1605.06015.
• Dierckx H, Biktasheva IV, Verschelde H, Panfilov AV, Biktashev VN. (2016) Filament tension and phase-locked drift of meandering scroll waves, DOI:10.48550/arxiv.1607.03031.
• Bezekci B, Biktashev VN. (2016) Strength-Duration Relationship in an Excitable Medium. [PDF]
• Biktashev VN, Tsyganov MA. (2016) Quasisolitons in self-diffusive excitable systems, or Why asymmetric diffusivity obeys the Second Law, Scientific Reports, volume 6, DOI:10.1038/srep30879.

2015

• Bezekci B, Idris I, Simitev RD, Biktashev VN. (2015) Semi-analytical approach to criteria for ignition of excitation waves, DOI:10.48550/arxiv.1507.05794.
• West S, Bridge LJ, White MRH, Paszek P, Biktashev VN. (2015) A method of ‘speed coefficients’ for biochemical model reduction applied to the NF-κB system, Journal of mathematical biology, volume 70, no. 3, pages 591-620.
• Starý T, Biktashev VN. (2015) Evaluating exponential integrators for Markov chain ion channel models, Computing in Cardiology, volume 42, pages 885-888, DOI:10.1109/CIC.2015.7411053.
• Kharche SR, Biktasheva IV, Seemann G, Zhang H, Zhao J, Biktashev VN. (2015) Computational modelling of low voltage resonant drift of scroll waves in the realistic human atria, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), volume 9126, pages 421-429, DOI:10.1007/978-3-319-20309-6_48.
• Bezekci B, Idris I, Simitev RD, Biktashev VN. (2015) Semianalytical approach to criteria for ignition of excitation waves, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 92, no. 4, DOI:10.1103/PhysRevE.92.042917.
• Kharche SR, Biktasheva IV, Seemann G, Zhang H, Biktashev VN. (2015) A computer simulation study of anatomy induced drift of spiral waves in the human atrium, BioMed Research International, volume 2015, DOI:10.1155/2015/731386.
• Starý T, Biktashev VN. (2015) Exponential integrators for a Markov chain model of the fast sodium channel of cardiomyocytes, IEEE Trans Biomed Eng, volume 62, no. 4, pages 1070-1076, DOI:10.1109/TBME.2014.2366466. [PDF]
• Biktasheva IV, Dierckx H, Biktashev VN. (2015) Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations, Physiscal Review Letters, volume 114, article no. 068302, DOI:10.1103/PhysRevLett.114.068302. [PDF]
• West S, Bridge LJ, White MRH, Paszek P, Biktashev VN. (2015) A method of ‘speed coefficients’ for biochemical model reduction applied to the NF-κB system, Journal of Mathematical Biology, volume 70, no. 3, pages 591-620, DOI:10.1007/s00285-014-0775-x.

2014

• Nakouzi E, Jiménez ZA, Biktashev VN, Steinbock O. (2014) Analysis of Anchor-Size Effects on Pinned Scroll Waves and Measurement of Filament Rigidity, DOI:10.48550/arxiv.1401.3361.
• Tsyganov MA, Biktashev VN. (2014) Classification of wave regimes in excitable systems with linear cross-diffusion, DOI:10.48550/arxiv.1408.3611.
• West S, Bridge LJ, White MRH, Paszek P, Biktashev VN. (2014) A method of `speed coefficients' for biochemical model reduction applied to the NF-kappaB system, DOI:10.48550/arxiv.1403.1610.
• Stary T, Biktashev VN. (2014) Exponential integrators for a Markov chain model of the fast sodium channel of cardiomyocytes, DOI:10.48550/arxiv.1411.6204.
• Biktashev VN, Biktasheva IV. (2014) Dynamics of filaments of scroll waves, DOI:10.48550/arxiv.1403.6654.
• Biktasheva IV, Dierckx H, Biktashev VN. (2014) Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations, DOI:10.48550/arxiv.1408.3654.
• Biktashev VN, Biktasheva IV. (2014) DYNAMICS OF FILAMENTS OF SCROLL WAVES, Engineering of Chemical Complexity II, World Scientific Publishing, 221-238, DOI:10.1142/9789814616133_0013.
• Tsyganov MA, Biktashev VN. (2014) Classification of wave regimes in excitable systems with linear cross-diffusion, Physical Review E, volume 90, article no. 062912. [PDF]
• Biktashev VN. (2014) A simple mathematical model of gradual Darwinian evolution: Emergence of a Gaussian trait distribution in adaptation along a fitness gradient, Journal of Mathematical Biology, volume 68, no. 5, pages 1225-1248, DOI:10.1007/s00285-013-0669-3.
• Biktashev VN, Biktasheva IV. (2014) Dynamics of filaments of scroll waves. [PDF]
• Nakouzi E, Jiménez ZA, Biktashev VN, Steinbock O. (2014) Analysis of anchor-size effects on pinned scroll waves and measurement of filament rigidity, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 89, no. 4, DOI:10.1103/PhysRevE.89.042902.
• Biktashev VN. (2014) A simple mathematical model of gradual Darwinian evolution: emergence of a Gaussian trait distribution in adaptation along a fitness gradient, J Math Biol, volume 68, no. 5, pages 1225-1248, DOI:10.1007/s00285-013-0669-3. [PDF]

2013

• Kharche SR, Stary T, Biktasheva IV, Zhang H, Biktashev VN. (2013) Computer simulation of the role of fibre orientation in cardioversion of chronic atrial fibrillation, Journal of Electrocardiology, volume 46, no. 4, pages e6-e7, DOI:10.1016/j.jelectrocard.2013.05.027.
• Kharche S, Beling J, Biktasheva IV, Zhang H, Biktashev VN. (2013) Simulating cell apoptosis induced sinus node dysfunction, Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference, volume 2013, pages 6842-6845, DOI:10.1109/EMBC.2013.6611129.
• Kharche SR, Biktasheva IV, Zhang H, Biktashev VN. (2013) Simulating the role of anisotropy in human atrial cardioversion, Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference, volume 2013, pages 6838-6841, DOI:10.1109/EMBC.2013.6611128.
• Kharche SR, Biktasheva IV, Zhang H, Biktashev VN. (2013) Simulating the role of anisotropy in human atrial cardioversion, Annu Int Conf IEEE Eng Med Biol Soc, volume 2013, pages 6838-6841, DOI:10.1109/EMBC.2013.6611128. [PDF]
• Kharche S, Beling J, Biktasheva IV, Zhang H, Biktashev VN. (2013) Simulating cell apoptosis induced sinus node dysfunction, United States, Annu Int Conf IEEE Eng Med Biol Soc, volume 2013, pages 6842-6845, DOI:10.1109/EMBC.2013.6611129. [PDF]
• Kenitz K, Williams RG, Sharples J, Selsil O, Biktashev VN. (2013) The paradox of the plankton: Species competition and nutrient feedback sustain phytoplankton diversity, Marine Ecology Progress Series, volume 490, pages 107-119, DOI:10.3354/meps10452.

2012

• Dierckx H, Verschelde H, Selsil O, Biktashev V. (2012) Buckling of scroll waves, DOI:10.48550/arxiv.1205.5243.
• Kharche S, Biktasheva I, Seemann G, Zhang HG, Biktashev V. (2012) Cardioversion using feedback stimuli in human atria, Computing in Cardiology, volume 39, pages 133-136.
• Biktasheva IV, Sarvazyan NA, Biktashev VN. (2012) Dynamics of scroll waves of excitation in a mathematical model of ischaemic border zone, Computing in Cardiology, volume 39, pages 445-448.
• Dierckx H, Verschelde H, Selsil O, Biktashev VN. (2012) Buckling of Scroll Waves, PHYSICAL REVIEW LETTERS, volume 109, no. 17, article no. ARTN 174102, DOI:10.1103/PhysRevLett.109.174102. [PDF]

2011

• Biktashev VN, Tsyganov MA. (2011) Envelope quasi-solitons in dissipative systems with cross-diffusion, DOI:10.48550/arxiv.1105.3003.
• Biktashev VN. (2011) A simple mathematical model of gradual Darwinian evolution: Emergence of a Gaussian trait distribution in adaptation along a fitness gradient, DOI:10.48550/arxiv.1102.0272.
• Biktashev V, Arutunyan A, Sarvazyan N. (2011) Ischemic Boundary as a Source of Scroll Waves: A Three-Dimensional View, BIOPHYSICAL JOURNAL, volume 100, no. 3, pages 439-439. [PDF]
• Simitev RD, Biktashev VN. (2011) Asymptotics of conduction velocity restitution in models of electrical excitation in the heart, Bull Math Biol, volume 73, no. 1, pages 72-115, DOI:10.1007/s11538-010-9523-6. [PDF]
• Biktashev VN, Biktasheva IV, Sarvazyan NA. (2011) Evolution of spiral and scroll waves of excitation in a mathematical model of ischaemic border zone, PLoS One, volume 6, no. 9, DOI:10.1371/journal.pone.0024388. [PDF]
• Biktashev VN, Tsyganov MA. (2011) Envelope quasisolitons in dissipative systems with cross-diffusion, Phys Rev Lett, volume 107, no. 13, DOI:10.1103/PhysRevLett.107.134101. [PDF]

2010

• Foulkes AJ, Biktashev VN. (2010) Riding a Spiral Wave: Numerical Simulation of Spiral Waves in a Co-Moving Frame of Reference, DOI:10.48550/arxiv.1001.4454.
• Foulkes AJ, Barkley D, Biktashev VN, Biktasheva IV. (2010) Alternative Stable Scroll Waves and Conversion of Autowave Turbulence, DOI:10.48550/arxiv.1006.5650.
• Biktashev VN, Biktasheva IV, Sarvazyan NA. (2010) Evolution of spiral and scroll waves of excitation in a mathematical model of ischaemic border zone, DOI:10.48550/arxiv.1006.5846.
• Biktashev VN, Barkley D, Biktasheva IV. (2010) Orbital motion of spiral waves in excitable media, Phys Rev Lett, volume 104, no. 5, DOI:10.1103/PhysRevLett.104.058302. [PDF]
• Biktasheva IV, Barkley D, Biktashev VN, Foulkes AJ. (2010) Computation of the drift velocity of spiral waves using response functions, Phys Rev E Stat Nonlin Soft Matter Phys, volume 81, no. 6 Pt 2, DOI:10.1103/PhysRevE.81.066202. [PDF]
• Foulkes AJ, Biktashev VN. (2010) Riding a spiral wave: numerical simulation of spiral waves in a comoving frame of reference, Phys Rev E Stat Nonlin Soft Matter Phys, volume 81, no. 4 Pt 2, DOI:10.1103/PhysRevE.81.046702. [PDF]
• Foulkes AJ, Barkley D, Biktashev VN, Biktasheva IV. (2010) Alternative stable scroll waves and conversion of autowave turbulence, Chaos, volume 20, no. 4, DOI:10.1063/1.3517079. [PDF]

2009

• Simitev RD, Biktashev VN. (2009) Analytically Solvable Asymptotic Model of Atrial Excitability, DOI:10.48550/arxiv.0905.4042.
• Simitev RD, Biktashev VN. (2009) Asymptotics of conduction velocity restitution in models of electrical excitation in the heart, DOI:10.48550/arxiv.0908.3923.
• Цыганов МА, Бикташев ВН. (2009)

  Солитонное и полусолитонное взаимодействие волн в возбудимых системах с нелинейной кросс-диффузией

  , Computer Research and Modeling, volume 1, no. 1, pages 109-115, DOI:10.20537/2076-7633-2009-1-1-109-115.
• Biktasheva IV, Foulkes AJ, Barkley D, Biktashev VN. (2009) Computation of the Drift Velocity of Spiral Waves using Response Functions, DOI:10.48550/arxiv.0909.5372.
• Biktashev VN. (2009) Resonance and feedback strategies for low-voltage defibrillation, pages 493-510, DOI:10.1007/978-0-387-79403-7_20.
• Tsyganov MA, Ivanitsky GR, Biktashev VN. (2009) Running tails as codimension two quasi-solitons in excitation taxis waves with negative refractoriness, Chaos, Solitons and Fractals, volume 40, no. 5, pages 2271-2276, DOI:10.1016/j.chaos.2007.10.014.
• Tsyganov MA, Biktashev VN, Ivanitsky GR. (2009) Negative refractoriness in excitable systems with cross-diffusion, Biophysics, volume 54, no. 4, pages 513-518, DOI:10.1134/S0006350909040186.
• Biktashev VN, Barkley D, Biktasheva IV. (2009) Orbital movement of spiral waves. [PDF]
• Simitev RD, Biktashev VN. (2009) Analytically Solvable Asymptotic Model of Atrial Excitability. [PDF]
• Tsyganov MA, Biktashev VN, Ivannitskiĭ GR. (2009) [Negative refractoriness in excitable systems with cross-diffusion], Biofizika, volume 54, no. 4, pages 704-709. [PDF]
• Morgan SW, Plank G, Biktasheva IV, Biktashev VN. (2009) Low energy defibrillation in human cardiac tissue: a simulation study, Biophys J, volume 96, no. 4, pages 1364-1373, DOI:10.1016/j.bpj.2008.11.031. [PDF]
• Biktasheva IV, Barkley D, Biktashev VN, Bordyugov GV, Foulkes AJ. (2009) Computation of the response functions of spiral waves in active media, Phys Rev E Stat Nonlin Soft Matter Phys, volume 79, no. 5 Pt 2, DOI:10.1103/PhysRevE.79.056702. [PDF]
• Biktashev VN, Tsyganov MA. (2009) Spontaneous traveling waves in oscillatory systems with cross diffusion, Phys Rev E Stat Nonlin Soft Matter Phys, volume 80, no. 5 Pt 2, DOI:10.1103/PhysRevE.80.056111. [PDF]

2008

• Biktashev VN, Tsyganov MA. (2008) Spontaneous periodic travelling waves in oscillatory systems with cross-diffusion, DOI:10.48550/arxiv.0806.0996.
• Simitev RD, Biktashev VN. (2008) An Analytically Solvable Asymptotic Model of Atrial Excitability, Mathematical Modeling of Biological Systems, Volume II, Springer Nature, 289-302, DOI:10.1007/978-0-8176-4556-4_26.
• Biktasheva IV, Barkley D, Biktashev VN, Bordyugov GV, Foulkes AJ. (2008) Computation of the response functions of spiral waves in active media, DOI:10.48550/arxiv.0810.4721.
• Morgan SW, Plank G, Biktasheva IV, Biktashev VN. (2008) Low energy defibrillation in human cardiac tissue: a simulation study, DOI:10.48550/arxiv.0805.0223.
• Biktashev VN, Idris I. (2008) Initiation of excitation waves: An analytical approach, Computers in Cardiology, volume 35, pages 311-314, DOI:10.1109/CIC.2008.4749040.
• Biktasheva IV, Morgan SW, Plank G, Biktashev VN. (2008) Feedback control of resonant drift as a tool for low voltage defibrillation, Computers in Cardiology, volume 35, pages 501-504, DOI:10.1109/CIC.2008.4749088.
• Idris I, Biktashev VN. (2008) Analytical approach to initiation of propagating fronts, Physical Review Letters, volume 101, no. 24, DOI:10.1103/PhysRevLett.101.244101.
• Biktashev VN, Arutunyan A, Sarvazyan NA. (2008) Generation and escape of local waves from the boundary of uncoupled cardiac tissue, Biophys J, volume 94, no. 9, pages 3726-3738, DOI:10.1529/biophysj.107.117630. [PDF]
• Biktashev VN, Suckley R, Elkin YE, Simitev RD. (2008) Asymptotic analysis and analytical solutions of a model of cardiac excitation, Bull Math Biol, volume 70, no. 2, pages 517-554, DOI:10.1007/s11538-007-9267-0. [PDF]
• Morgan SW, Biktasheva IV, Biktashev VN. (2008) Control of scroll-wave turbulence using resonant perturbations, Phys Rev E Stat Nonlin Soft Matter Phys, volume 78, no. 4 Pt 2, DOI:10.1103/PhysRevE.78.046207. [PDF]

2007

• Цыганов МА, Бикташев ВН, Бриндли Д, Холден АВ, Иваницкий ГР. (2007) Волны в кросс-диффузионных системах — особый класс нелинейных волн, Uspekhi Fizicheskih Nauk, volume 177, no. 3, DOI:10.3367/ufnr.0177.200703b.0275.
• Biktashev VN, Arutunyan A, Sarvazyan NA. (2007) Generation and escape of local waves from the boundary of uncoupled cardiac tissue, DOI:10.48550/arxiv.0711.2945.
• Tsyganov MA, Biktashev VN, Brindley J, Holden AV, Ivanitsky GR. (2007) Waves in systems with cross-diffusion as a new class of nonlinear waves, Physics-Uspekhi, volume 50, no. 3, pages 263-286, DOI:10.1070/PU2007v050n03ABEH006114.
• Idris I, Biktashev VN. (2007) Critical fronts in initiation of excitation waves, Phys Rev E Stat Nonlin Soft Matter Phys, volume 76, no. 2 Pt 1, DOI:10.1103/PhysRevE.76.021906. [PDF]

2006

• Biktashev VN, Suckley R, Elkin YE, Simitev RD. (2006) Asymptotic analysis and analytical solutions of a model of cardiac excitation, DOI:10.48550/arxiv.q-bio/0607047.
• Zemlin CW, Mukund K, Biktashev VN, Pertsov AM. (2006) Dynamics of bound states of same-chirality spiral waves, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 74, no. 1, DOI:10.1103/PhysRevE.74.016207.
• Idris I, Simitev RD, Biktashev VN. (2006) Using novel simplified models of excitation for analytic description of initiation propagation and blockage of excitation waves, Computers in Cardiology, volume 33, pages 213-216.
• Biktasheva IV, Holden AV, Biktashev VN. (2006) Localization of Response Functions of spiral waves in the FitzHugh-Nagumo system, International Journal of Bifurcation and Chaos, volume 16, no. 5, pages 1547-1555, DOI:10.1142/S0218127406015490.
• Simitev RD, Biktashev VN. (2006) Conditions for propagation and block of excitation in an asymptotic model of atrial tissue, Biophys J, volume 90, no. 7, pages 2258-2269, DOI:10.1529/biophysj.105.072637. [PDF]
• Biktasheva IV, Simitev RD, Suckley R, Biktashev VN. (2006) Asymptotic properties of mathematical models of excitability, Philos Trans A Math Phys Eng Sci, volume 364, no. 1842, pages 1283-1298, DOI:10.1098/rsta.2006.1770. [PDF]
• Zemlin CW, Mukund K, Biktashev VN, Pertsov AM. (2006) Dynamics of bound states of same-chirality spiral waves, Phys Rev E Stat Nonlin Soft Matter Phys, volume 74, no. 1 Pt 2, DOI:10.1103/PhysRevE.74.016207. [PDF]

2005

• Simitev RD, Biktashev VN. (2005) Conditions for propagation and block of excitation in an asymptotic model of atrial tissue, DOI:10.48550/arxiv.physics/0511058.
• Biktasheva IV, Holden AV, Biktashev VN. (2005) Localization of response functions of spiral waves in the FitzHugh-Nagumo system, DOI:10.48550/arxiv.nlin/0504003.
• Biktashev VN, Tsyganov MA. (2005) Solitary waves in excitable systems with cross-diffusion, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, volume 461, no. 2064, pages 3711-3730, DOI:10.1098/rspa.2005.1529. [PDF]
• Brindley J, Biktashev VH, Tsyganov MA. (2005) Invasion waves in populations with excitable dynamics, Biological Invasions, volume 7, no. 5, pages 807-816, DOI:10.1007/s10530-005-5207-9.
• Biktasheva IV, Biktashev VN, Holden AV. (2005) Wavebreaks and self-termination of spiral waves in a model of human atrial tissue, Lecture Notes in Computer Science, volume 3504, pages 293-303, DOI:10.1007/11494621_30.
• Biktashev VN, Biktasheva IV. (2005) Dissipation of excitation fronts as a mechanism of conduction block in Re-entrant waves, Lecture Notes in Computer Science, volume 3504, pages 283-292, DOI:10.1007/11494621_29.
• Aslanidi OV, Biktashev VN, Biktasheva IV, Clayton RH, Holden AV. (2005) 21 Towards understanding the physical basis of re-entrant cardiac arrhythmias, Studies in Multidisciplinarity, volume 3, no. C, pages 389-410, DOI:10.1016/S1571-0831(06)80025-0.
• Biktashev VN, Tsyganov MA. (2005) Solitary waves in excitable systems with cross-diffusion, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 461, no. 2064, pages 3711-3730, DOI:10.1098/rspa.2005.1529.
• Biktashev VN. (2005) Causodynamics of autowave patterns, Phys Rev Lett, volume 95, no. 8, DOI:10.1103/PhysRevLett.95.084501. [PDF]

2004

• Biktashev VN. (2004) Envelope Equations for Modulated Non-Conservative Waves, IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics, Springer Nature, 525-535, DOI:10.1007/1-4020-2604-8_49.
• Biktashev VN, Brindley J, Holden AV, Tsyganov MA. (2004) Pursuit-evasion predator-prey waves in two spatial dimensions, DOI:10.48550/arxiv.nlin/0406012.
• Tsyganov MA, Biktashev VN. (2004) Half-soliton interaction of population taxis waves in predator-prey systems with pursuit and evasion, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, volume 70, no. 3, DOI:10.1103/PhysRevE.70.031901.
• Tsyganov MA, Brindley J, Holden AV, Biktashev VN. (2004) Soliton-like phenomena in one-dimensional cross-diffusion systems: A predator-prey pursuit and evasion example, Physica D: Nonlinear Phenomena, volume 197, no. 1-2, pages 18-33, DOI:10.1016/j.physd.2004.06.004.
• Biktashev VN, Brindley J. (2004) Phytoplankton blooms and fish recruitment rate: effects of spatial distribution, Bull Math Biol, volume 66, no. 2, pages 233-259, DOI:10.1016/j.bulm.2003.08.008. [PDF]
• Biktashev VN, Suckley R. (2004) Non-Tikhonov asymptotic properties of cardiac excitability, Phys Rev Lett, volume 93, no. 16, DOI:10.1103/PhysRevLett.93.168103. [PDF]
• Tsyganov MA, Biktashev VN. (2004) Half-soliton interaction of population taxis waves in predator-prey systems with pursuit and evasion, Phys Rev E Stat Nonlin Soft Matter Phys, volume 70, no. 3 Pt 1, DOI:10.1103/PhysRevE.70.031901. [PDF]
• Biktashev VN, Brindley J, Holden AV, Tsyganov MA. (2004) Pursuit-evasion predator-prey waves in two spatial dimensions, Chaos, volume 14, no. 4, pages 988-994, DOI:10.1063/1.1793751. [PDF]

2003

• Suckley R, Biktashev VN. (2003) Comparison of asymptotics of heart and nerve excitability, Physical review. E, Statistical, nonlinear, and soft matter physics, volume 68, no. 1.
• Biktashev VN, Brindley J, Horwood JW. (2003) Phytoplankton blooms and fish recruitment rate, Journal of Plankton Research, volume 25, no. 1, pages 21-33, DOI:10.1093/plankt/25.1.21.
• Biktasheva IV, Biktashev VN. (2003) Wave-particle dualism of spiral waves dynamics, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 67, no. 2 2, pages 262211-262219.
• Suckley R, Biktashev VN. (2003) Comparison of asymptotics of heart and nerve excitability, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, volume 68, no. 1 1, pages 119021-1190215.
• Biktashev VN. (2003) A simplified model of propagation and dissipation of excitation fronts, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 13, no. 12, pages 3605-3619, DOI:10.1142/S0218127403008958.
• Biktasheva IV, Biktashev VN, Dawes WN, Holden AV, Saumarez RC, Savill AM. (2003) Dissipation of the excitation front as a mechanism of self-terminating arrhythmias, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 13, no. 12, pages 3645-3655, DOI:10.1142/S0218127403008909.
• Suckley R, Biktashev VN. (2003) The asymtotic structure of the Hodgkin-Huxley equations, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 13, no. 12, pages 3805-3825, DOI:10.1142/S0218127403008764.
• Biktasheva IV, Biktashev VN. (2003) Wave-particle dualism of spiral waves dynamics, Phys Rev E Stat Nonlin Soft Matter Phys, volume 67, no. 2 Pt 2, DOI:10.1103/PhysRevE.67.026221. [PDF]
• Suckley R, Biktashev VN. (2003) Comparison of asymptotics of heart and nerve excitability, Phys Rev E Stat Nonlin Soft Matter Phys, volume 68, no. 1 Pt 1, DOI:10.1103/PhysRevE.68.011902. [PDF]
• Tsyganov MA, Brindley J, Holden AV, Biktashev VN. (2003) Quasisoliton interaction of pursuit-evasion waves in a predator-prey system, Phys Rev Lett, volume 91, no. 21, DOI:10.1103/PhysRevLett.91.218102. [PDF]

2002

• Biktashev VN, Holden AV, Mironov SF, Pertsov AM, Zaitsev AV. (2002) Three-dimensional organisation of re-entrant propagation during experimental ventricular fibrillation, Chaos, Solitons and Fractals, volume 13, no. 8, pages 1713-1733, DOI:10.1016/S0960-0779(01)00164-3.
• Holden AV, Biktashev VN. (2002) Computational biology of propagation in excitable media models of cardiac tissue, Chaos, Solitons and Fractals, volume 13, no. 8, pages 1643-1658, DOI:10.1016/S0960-0779(01)00172-2.
• Elkin YE, Biktashev VN, Holden AV. (2002) Waves of constant shape and the structure of the "rotors boundary" in excitable media, Chaos, Solitons and Fractals, volume 14, no. 3, pages 385-395, DOI:10.1016/S0960-0779(01)00129-1.
• Biktashev VN. (2002) Dissipation of the excitation wave fronts, Phys Rev Lett, volume 89, no. 16, DOI:10.1103/PhysRevLett.89.168102. [PDF]
• Aslanidi OV, Bailey A, Biktashev VN, Clayton RH, Holden AV. (2002) Enhanced self-termination of re-entrant arrhythmias as a pharmacological strategy for antiarrhythmic action, Chaos, volume 12, no. 3, pages 843-851, DOI:10.1063/1.1500496. [PDF]

2001

• Biktasheva IV, Biktashev VN. (2001) Response functions of spiral wave solutions of the complex Ginzburg-Landau equation, JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, volume 8, pages 28-34, DOI:10.2991/jnmp.2001.8.s.6. [PDF]
• Aslanidi OV, Biktashev VN, Clayton RH, Holden AV. (2001) Differential meander of re-entrant spiral waves in mammalian virtual ventricular tissue, JOURNAL OF PHYSIOLOGY-LONDON, volume 536, pages 71P-71P. [PDF]
• Biktasheva IV, Biktashev VN. (2001) Response functions of spiral wave solutions of the complex Ginzburg-Landau equation, Journal of Nonlinear Mathematical Physics, volume 8, no. SUPPL, pages 28-34, DOI:10.2991/jnmp.2001.8.s.6.
• Biktashev VN, Holden AV, Mironov SF, Pertsov AM, Zaitsev AV. (2001) On two mechanisms of the domain structure of ventricular fibrillation, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 11, no. 4, pages 1035-1051, DOI:10.1142/S0218127401002596.
• Tsyganov MA, Aslanidi GV, Shakhbazyan VY, Biktashev VN, Ivanitskij GR. (2001) Non-stationary dynamics of bacterial population waves, Doklady Akademii Nauk, volume 380, no. 6, pages 828-834.
• Clayton RH, Bailey A, Biktashev VN, Holden AV. (2001) Re-entrant cardiac arrhythmias in computational models of long QT myocardium, J Theor Biol, volume 208, no. 2, pages 215-225, DOI:10.1006/jtbi.2000.2212. [PDF]
• Tsyganov MA, Aslanidi GV, Shakhbazian V, Biktashev VN, Ivanitsky GR. (2001) Nonstationary dynamics of bacterial population waves, Dokl Biochem Biophys, volume 380, pages 364-369, DOI:10.1023/a:1012360713823. [PDF]
• Biktashev VN, Holden AV. (2001) Characterization of patterned irregularity in locally interacting, spatially extended systems: Ventricular fibrillation, Chaos, volume 11, no. 3, pages 653-664, DOI:10.1063/1.1380429. [PDF]

2000

• Biktashev VN, Holden AV. (2000) Characterisation of patterned irregularity in locally interacting, spatially extended systems: Ventricular fibrillation, UNSOLVED PROBLEMS OF NOISE AND FLUCTUATIONS, volume 511, pages 263-272. [PDF]

1999

• Biktashev VN, Holden AV, Mironov SF, Pertsov AM, Zaitsev AV. (1999) Three-dimensional aspects of re-entry in experimental and numerical models of ventricular fibrillation, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 9, no. 4, pages 695-704, DOI:10.1142/S0218127499000481.
• Nikolaev EV, Biktashev VN, Holden AV. (1999) On bifurcations of spiral waves in the plane, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 9, no. 8, pages 1501-1516, DOI:10.1142/S021812749900105X.
• Elkin YE, Biktashev VN. (1999) Drift of large-core spiral waves in inhomogeneous excitable media, Journal of Biological Physics, volume 25, no. 2-3, pages 129-147, DOI:10.1023/a:1005187225866.
• Biktasheva IV, Elkin YE, Biktashev VN. (1999) Resonant Drift of Spiral Waves in the Complex Ginzburg-Landau Equation, Journal of Biological Physics, volume 25, no. 2-3, pages 115-127, DOI:10.1023/a:1005134901624.
• Biktashev VN, Biktasheva IV, Holden AV, Tsyganov MA, Brindley J, Hill NA. (1999) Effects of Shear Flows on Nonlinear Waves in Excitable Media, Journal of Biological Physics, volume 25, no. 2-3, pages 101-113, DOI:10.1023/a:1005160932148.
• Biktashev VN, Biktasheva IV, Holden AV, Tsyganov MA, Brindley J, Hill NA. (1999) Spatiotemporal irregularity in an excitable medium with shear flow, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, volume 60, no. 2, pages 1897-1900, DOI:10.1103/PhysRevE.60.1897.
• Clayton RH, Bailey A, Biktashev VN, Holden AV. (1999) Re-entrant arrhythmias in simulations of the long-QT syndrome, Computers in Cardiology, pages 121-124.
• Clayton RH, Yu DJ, Small M, Biktashev VN, Harrison RG, Holden AV. (1999) Linear and nonlinear characteristics of ECG signals produced by simulations of ventricular tachyarrhythmias, Computers in Cardiology, pages 479-482.
• Biktashev VN, Holden AV. (1999) Reentrant arrhythmias and their control in models of mammalian cardiac tissue, J Electrocardiol, volume 32 Suppl, pages 76-83. [PDF]
• Biktashev VN, Biktasheva IV, Holden AV, Tsyganov MA, Brindley J, Hill NA. (1999) Spatiotemporal irregularity in an excitable medium with shear flow, Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics, volume 60, no. 2 Pt B, pages 1897-1900, DOI:10.1103/physreve.60.1897. [PDF]

1998

• Biktashev VN, Holden AV, Mironov SF, Pertsov AM, Zaitsev AV. (1998) Three-dimensional aspects of re-entry in two models of ventricular fibrillation, JOURNAL OF PHYSIOLOGY-LONDON, volume 509P, pages 139P-139P. [PDF]
• Biktashev VN, Holden AV. (1998) Functionally defined re-entry in a two-dimensional model of ventricular tissue simulating long QT syndrome, JOURNAL OF PHYSIOLOGY-LONDON, volume 509P, pages 139P-140P. [PDF]
• Nikolaev EV, Biktashev VN, Holden AV. (1998) On feedback resonant drift and interaction with the boundaries in circular and annular excitable media, Chaos, Solitons and Fractals, volume 9, no. 3, pages 363-376, DOI:10.1016/S0960-0779(97)00074-X.
• Biktashev VN. (1998) A three-dimensional autowave turbulence, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 8, no. 4, pages 677-684, DOI:10.1142/S0218127498000474.
• Biktashev VN, Holden AV, Tsyganov MA, Brindley J, Hill NA. (1998) Excitation Wave Breaking in Excitable Media with Linear Shear Flow, Physical Review Letters, volume 81, no. 13, pages 2815-2818, DOI:10.1103/PhysRevLett.81.2815.
• Elkin YE, Biktashev VN, Holden AV. (1998) On the movement of excitation wave breaks, Chaos, Solitons and Fractals, volume 9, no. 9, pages 1597-1610, DOI:10.1016/S0960-0779(97)00111-2.
• Biktashev VN, Holden AV. (1998) Deterministic Brownian motion in the hypermeander of spiral waves, Physica D: Nonlinear Phenomena, volume 116, no. 3-4, pages 342-354, DOI:10.1016/S0167-2789(97)00304-7.
• Biktasheva IV, Elkin YE, Biktashev VN. (1998) Localized sensitivity of spiral waves in the complex Ginzburg-Landau equation, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, volume 57, no. 3, pages 2656-2659, DOI:10.1103/PhysRevE.57.2656.
• Biktashev VN, Holden AV. (1998) Reentrant waves and their elimination in a model of mammalian ventricular tissue, Chaos, volume 8, no. 1, pages 48-56, DOI:10.1063/1.166307. [PDF]

1997

• Biktashev VN, Holden AV, Zhang H. (1997) A model for the action of external current onto excitable tissue, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 7, no. 2, pages 477-485, DOI:10.1142/S0218127497000364.

1996

• Biktashev VN, Holden AV, Nikolaev EV. (1996) Spiral wave meander and symmetry of the plane, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, volume 6, no. 12 A/B, pages 2433-2440, DOI:10.1142/s0218127496001582.
• Biktashev VN, Holden AV. (1996) Re-entrant activity and its control in a model of mammalian ventricular tissue, Proc Biol Sci, volume 263, no. 1375, pages 1373-1382, DOI:10.1098/rspb.1996.0201. [PDF]

1995

• BIKTASHEV VN, HOLDEN AV. (1995) PROPAGATION IN 2-DIMENSIONAL MODELS OF MAMMALIAN CARDIAC TISSUE, JOURNAL OF PHYSIOLOGY-LONDON, volume 487P, pages P124-P125. [PDF]
• Biktashev VN, Holden AV. (1995) Resonant drift of autowave vortices in two dimensions and the effects of boundaries and inhomogeneities, Chaos, Solitons and Fractals, volume 5, no. 3-4, pages 575-622, DOI:10.1016/0960-0779(93)E0044-C.
• Biktashev VN, Holden AV. (1995) Control of re-entrant activity in a model of mammalian atrial tissue, Proc Biol Sci, volume 260, no. 1358, pages 211-217, DOI:10.1098/rspb.1995.0082. [PDF]

1994

• BIKTASHEV V, KRINSKY V, HAKEN H. (1994) A WAVE APPROACH TO PATTERN-RECOGNITION (WITH APPLICATION TO OPTICAL CHARACTER-RECOGNITION), INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, volume 4, no. 1, pages 193-207, DOI:10.1142/S0218127494000149. [PDF]
• Kuznetsov YA, Antonovsky MY, Biktashev VN, Aponina EA. (1994) A cross-diffusion model of forest boundary dynamics, Journal of Mathematical Biology, volume 32, no. 3, pages 219-232, DOI:10.1007/BF00163879.
• Biktashev VN, Holden AV, Zhang H. (1994) Tension of organizing filaments of scroll waves, Philosophical Transactions - Royal Society of London, A, volume 347, no. 1685, pages 611-630, DOI:10.1098/rsta.1994.0070.
• Aliev RR, Biktashev VN. (1994) Dynamics of the oscillation phase distribution in the BZ reaction, Journal of Physical Chemistry, volume 98, no. 38, pages 9676-9681, DOI:10.1021/j100089a049.
• Biktashev VN, Holden AV. (1994) Design principles of a low voltage cardiac defibrillator based on the effect of feedback resonant drift, J Theor Biol, volume 169, no. 2, pages 101-112, DOI:10.1006/jtbi.1994.1132. [PDF]

1993

• Biktashev VN, Holden AV. (1993) Resonant drift of an autowave vortex in a bounded medium, Physics Letters A, volume 181, no. 3, pages 216-224, DOI:10.1016/0375-9601(93)90642-D.
• Starmer CF, Biktashev VN, Romashko DN, Stepanov MR, Makarova ON, Krinsky VI. (1993) Vulnerability in an excitable medium: analytical and numerical studies of initiating unidirectional propagation, Biophys J, volume 65, no. 5, pages 1775-1787, DOI:10.1016/S0006-3495(93)81233-5. [PDF]

1992

• Biktashev VN, Molchanov AM. (1992) A macrodynamical approach to the analysis of neural networks, Proceedings 1992 RNNS/IEEE Symposium on Neuroinformatics and Neurocomputers, RNNS 1992, pages 948-958, DOI:10.1109/RNNS.1992.268535.

1991

• KRINSKY V, PERTSOV A, FAST V, BIKTASHEV V. (1991) A STUDY OF THE AUTOWAVE MECHANISMS OF CARDIAC-ARRHYTHMIAS, NONLINEAR WAVE PROCESSES IN EXCITABLE MEDIA, volume 244, pages 5-13. [PDF]
• Krinsky VI, Biktashev VN, Efimov IR. (1991) Autowave principles for parallel image processing, Physica D: Nonlinear Phenomena, volume 49, no. 1-2, pages 247-253, DOI:10.1016/0167-2789(91)90213-S.

1990

• KRINSKY VI, BIKTASHEV VN, PERTSOV AM. (1990) AUTOWAVE APPROACHES TO CESSATION OF REENTRANT ARRHYTHMIAS, MATHEMATICAL APPROACHES TO CARDIAC ARRHYTHMIAS, volume 591, pages 232-246. [PDF]
• Pertsov AM, Biktashev VN, Ermakova EA, Krinsky VI. (1990) On the possibility of lowering considerably defibrillation current by determining the right time for application of a defibrillating pulse. Mathematical model, Biofizika, volume 35, no. 3, pages 500-503.
• Pertsov AM, Biktashev VN, Yermakova YA, Krinskii VI. (1990) Possibility of considerably reducing the defibrillation current with the right choice of the moment of applying a defibrillating pulse. Mathematical model, Biophysics, volume 35, no. 3, pages 515-519.
• Pertsov AM, Biktashev VN, Ermakova EA, Krinskiĭ VI. (1990) [A possibility of significant lowering the defibrillation current by determining the right time for application of a defibrillating pulse. A mathematical model], Biofizika, volume 35, no. 3, pages 500-503. [PDF]
• Krinsky VI, Biktashev VN, Pertsov AM. (1990) Autowave approaches to cessation of reentrant arrhythmias, Ann N Y Acad Sci, volume 591, pages 232-246, DOI:10.1111/j.1749-6632.1990.tb15092.x. [PDF]

1989

• Biktashev VN. (1989) Evolution of twist of an autowave vortex, Physica D: Nonlinear Phenomena, volume 36, no. 1-2, pages 167-172, DOI:10.1016/0167-2789(89)90255-8.
• Biktashev VN. (1989) Diffusion of autowaves. Evolution equation for slowly varying autowaves, Physica D: Nonlinear Phenomena, volume 40, no. 1, pages 83-90, DOI:10.1016/0167-2789(89)90028-6.

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