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Items: 1 to 50 of 62

1.

Filament Tension and Phase Locking of Meandering Scroll Waves.

Dierckx H, Biktasheva IV, Verschelde H, Panfilov AV, Biktashev VN.

Phys Rev Lett. 2017 Dec 22;119(25):258101. doi: 10.1103/PhysRevLett.119.258101. Epub 2017 Dec 20.

PMID:
29303350
2.

The competitive nature of signal transducer and activator of transcription complex formation drives phenotype switching of T cells.

Sadreev II, Chen MZQ, Umezawa Y, Biktashev VN, Kemper C, Salakhieva DV, Welsh GI, Kotov NV.

Immunology. 2018 Apr;153(4):488-501. doi: 10.1111/imm.12851. Epub 2017 Nov 22.

PMID:
29030870
3.

Fast-slow asymptotic for semi-analytical ignition criteria in FitzHugh-Nagumo system.

Bezekci B, Biktashev VN.

Chaos. 2017 Sep;27(9):093916. doi: 10.1063/1.4999472.

PMID:
28964136
4.

Fast-slow asymptotics for a Markov chain model of fast sodium current.

Starý T, Biktashev VN.

Chaos. 2017 Sep;27(9):093937. doi: 10.1063/1.5003013.

PMID:
28964114
5.

BeatBox-HPC simulation environment for biophysically and anatomically realistic cardiac electrophysiology.

Antonioletti M, Biktashev VN, Jackson A, Kharche SR, Stary T, Biktasheva IV.

PLoS One. 2017 May 3;12(5):e0172292. doi: 10.1371/journal.pone.0172292. eCollection 2017.

6.

Mechanisms of vortices termination in the cardiac muscle.

Hornung D, Biktashev VN, Otani NF, Shajahan TK, Baig T, Berg S, Han S, Krinsky VI, Luther S.

R Soc Open Sci. 2017 Mar 15;4(3):170024. doi: 10.1098/rsos.170024. eCollection 2017 Mar.

7.

Quasisolitons in self-diffusive excitable systems, or Why asymmetric diffusivity obeys the Second Law.

Biktashev VN, Tsyganov MA.

Sci Rep. 2016 Aug 5;6:30879. doi: 10.1038/srep30879.

8.

A Computer Simulation Study of Anatomy Induced Drift of Spiral Waves in the Human Atrium.

Kharche SR, Biktasheva IV, Seemann G, Zhang H, Biktashev VN.

Biomed Res Int. 2015;2015:731386. doi: 10.1155/2015/731386. Epub 2015 Oct 26.

9.

Semianalytical approach to criteria for ignition of excitation waves.

Bezekci B, Idris I, Simitev RD, Biktashev VN.

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042917. doi: 10.1103/PhysRevE.92.042917. Epub 2015 Oct 19.

PMID:
26565314
10.

Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations.

Biktasheva IV, Dierckx H, Biktashev VN.

Phys Rev Lett. 2015 Feb 13;114(6):068302. Epub 2015 Feb 11.

PMID:
25723248
11.

Classification of wave regimes in excitable systems with linear cross diffusion.

Tsyganov MA, Biktashev VN.

Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Dec;90(6):062912. Epub 2014 Dec 12.

PMID:
25615169
12.

Exponential integrators for a Markov chain model of the fast sodium channel of cardiomyocytes.

Starý T, Biktashev VN.

IEEE Trans Biomed Eng. 2015 Apr;62(4):1070-6. doi: 10.1109/TBME.2014.2366466. Epub 2014 Nov 5.

PMID:
25376030
13.

Analysis of anchor-size effects on pinned scroll waves and measurement of filament rigidity.

Nakouzi E, Jiménez ZA, Biktashev VN, Steinbock O.

Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Apr;89(4):042902. Epub 2014 Apr 2.

PMID:
24827308
14.

A method of ‘speed coefficients’ for biochemical model reduction applied to the NF-κB system.

West S, Bridge LJ, White MR, Paszek P, Biktashev VN.

J Math Biol. 2015 Feb;70(3):591-620.

15.

Simulating cell apoptosis induced sinus node dysfunction.

Kharche S, Beling J, Biktasheva IV, Zhang H, Biktashev VN.

Conf Proc IEEE Eng Med Biol Soc. 2013;2013:6842-5. doi: 10.1109/EMBC.2013.6611129.

PMID:
24111316
16.

Simulating the role of anisotropy in human atrial cardioversion.

Kharche SR, Biktasheva IV, Zhang H, Biktashev VN.

Conf Proc IEEE Eng Med Biol Soc. 2013;2013:6838-41. doi: 10.1109/EMBC.2013.6611128.

PMID:
24111315
17.

A simple mathematical model of gradual Darwinian evolution: emergence of a Gaussian trait distribution in adaptation along a fitness gradient.

Biktashev VN.

J Math Biol. 2014 Apr;68(5):1225-48. doi: 10.1007/s00285-013-0669-3. Epub 2013 Mar 30.

PMID:
23543310
18.

Buckling of scroll waves.

Dierckx H, Verschelde H, Selsil Ö, Biktashev VN.

Phys Rev Lett. 2012 Oct 26;109(17):174102. Epub 2012 Oct 23.

PMID:
23215191
19.

Envelope quasisolitons in dissipative systems with cross-diffusion.

Biktashev VN, Tsyganov MA.

Phys Rev Lett. 2011 Sep 23;107(13):134101. Epub 2011 Sep 21.

PMID:
22026856
20.

Evolution of spiral and scroll waves of excitation in a mathematical model of ischaemic border zone.

Biktashev VN, Biktasheva IV, Sarvazyan NA.

PLoS One. 2011;6(9):e24388. doi: 10.1371/journal.pone.0024388. Epub 2011 Sep 15.

21.

Alternative stable scroll waves and conversion of autowave turbulence.

Foulkes AJ, Barkley D, Biktashev VN, Biktasheva IV.

Chaos. 2010 Dec;20(4):043136. doi: 10.1063/1.3517079.

PMID:
21198106
22.

Computation of the drift velocity of spiral waves using response functions.

Biktasheva IV, Barkley D, Biktashev VN, Foulkes AJ.

Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jun;81(6 Pt 2):066202. Epub 2010 Jun 1.

PMID:
20866496
23.

Riding a spiral wave: numerical simulation of spiral waves in a comoving frame of reference.

Foulkes AJ, Biktashev VN.

Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Apr;81(4 Pt 2):046702. Epub 2010 Apr 15.

PMID:
20481855
24.

Orbital motion of spiral waves in excitable media.

Biktashev VN, Barkley D, Biktasheva IV.

Phys Rev Lett. 2010 Feb 5;104(5):058302. Epub 2010 Feb 3.

PMID:
20366799
25.

Spontaneous traveling waves in oscillatory systems with cross diffusion.

Biktashev VN, Tsyganov MA.

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Nov;80(5 Pt 2):056111. Epub 2009 Nov 19.

PMID:
20365047
26.

Asymptotics of conduction velocity restitution in models of electrical excitation in the heart.

Simitev RD, Biktashev VN.

Bull Math Biol. 2011 Jan;73(1):72-115. doi: 10.1007/s11538-010-9523-6. Epub 2010 Mar 5.

PMID:
20204709
27.

[Negative refractoriness in excitable systems with cross-diffusion].

Tsyganov MA, Biktashev VN, Ivannitskiĭ GR.

Biofizika. 2009 Jul-Aug;54(4):704-9. Russian.

PMID:
19795793
28.

Computation of the response functions of spiral waves in active media.

Biktasheva IV, Barkley D, Biktashev VN, Bordyugov GV, Foulkes AJ.

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 May;79(5 Pt 2):056702. Epub 2009 May 11.

PMID:
19518588
29.

Low energy defibrillation in human cardiac tissue: a simulation study.

Morgan SW, Plank G, Biktasheva IV, Biktashev VN.

Biophys J. 2009 Feb 18;96(4):1364-73. doi: 10.1016/j.bpj.2008.11.031.

30.

Analytical approach to initiation of propagating fronts.

Idris I, Biktashev VN.

Phys Rev Lett. 2008 Dec 12;101(24):244101. Epub 2008 Dec 10.

PMID:
19113621
31.

Control of scroll-wave turbulence using resonant perturbations.

Morgan SW, Biktasheva IV, Biktashev VN.

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Oct;78(4 Pt 2):046207. Epub 2008 Oct 17.

PMID:
18999508
32.

Generation and escape of local waves from the boundary of uncoupled cardiac tissue.

Biktashev VN, Arutunyan A, Sarvazyan NA.

Biophys J. 2008 May 1;94(9):3726-38. doi: 10.1529/biophysj.107.117630. Epub 2008 Jan 22.

33.

Asymptotic analysis and analytical solutions of a model of cardiac excitation.

Biktashev VN, Suckley R, Elkin YE, Simitev RD.

Bull Math Biol. 2008 Feb;70(2):517-54. Epub 2007 Dec 1.

PMID:
18060462
34.

Critical fronts in initiation of excitation waves.

Idris I, Biktashev VN.

Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Aug;76(2 Pt 1):021906. Epub 2007 Aug 7.

PMID:
17930064
35.

Dynamics of bound states of same-chirality spiral waves.

Zemlin CW, Mukund K, Biktashev VN, Pertsov AM.

Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Jul;74(1 Pt 2):016207. Epub 2006 Jul 18.

PMID:
16907177
36.

Asymptotic properties of mathematical models of excitability.

Biktasheva IV, Simitev RD, Suckley R, Biktashev VN.

Philos Trans A Math Phys Eng Sci. 2006 May 15;364(1842):1283-98.

37.

Conditions for propagation and block of excitation in an asymptotic model of atrial tissue.

Simitev RD, Biktashev VN.

Biophys J. 2006 Apr 1;90(7):2258-69. Epub 2006 Jan 13.

38.

Causodynamics of autowave patterns.

Biktashev VN.

Phys Rev Lett. 2005 Aug 19;95(8):084501. Epub 2005 Aug 17.

PMID:
16196861
39.

Pursuit-evasion predator-prey waves in two spatial dimensions.

Biktashev VN, Brindley J, Holden AV, Tsyganov MA.

Chaos. 2004 Dec;14(4):988-94.

PMID:
15568912
40.

Non-Tikhonov asymptotic properties of cardiac excitability.

Biktashev VN, Suckley R.

Phys Rev Lett. 2004 Oct 15;93(16):168103. Epub 2004 Oct 13.

PMID:
15525037
41.

Half-soliton interaction of population taxis waves in predator-prey systems with pursuit and evasion.

Tsyganov MA, Biktashev VN.

Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Sep;70(3 Pt 1):031901. Epub 2004 Sep 14.

PMID:
15524543
42.

Phytoplankton blooms and fish recruitment rate: effects of spatial distribution.

Biktashev VN, Brindley J.

Bull Math Biol. 2004 Mar;66(2):233-59.

PMID:
14871566
43.

Quasisoliton interaction of pursuit-evasion waves in a predator-prey system.

Tsyganov MA, Brindley J, Holden AV, Biktashev VN.

Phys Rev Lett. 2003 Nov 21;91(21):218102. Epub 2003 Nov 19.

PMID:
14683341
44.

Comparison of asymptotics of heart and nerve excitability.

Suckley R, Biktashev VN.

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jul;68(1 Pt 1):011902. Epub 2003 Jul 11.

PMID:
12935171
45.

Reentrant waves and their elimination in a model of mammalian ventricular tissue.

Biktashev VN, Holden AV.

Chaos. 1998 Mar;8(1):48-56.

PMID:
12779709
46.

Enhanced self-termination of re-entrant arrhythmias as a pharmacological strategy for antiarrhythmic action.

Aslanidi OV, Bailey A, Biktashev VN, Clayton RH, Holden AV.

Chaos. 2002 Sep;12(3):843-851.

PMID:
12779612
47.
48.

Wave-particle dualism of spiral waves dynamics.

Biktasheva IV, Biktashev VN.

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Feb;67(2 Pt 2):026221. Epub 2003 Feb 27.

PMID:
12636790
49.

Dissipation of the excitation wave fronts.

Biktashev VN.

Phys Rev Lett. 2002 Oct 14;89(16):168102. Epub 2002 Sep 27.

PMID:
12398758
50.

Spatiotemporal irregularity in an excitable medium with shear flow.

Biktashev VN, Biktasheva IV, Holden AV, Tsyganov MA, Brindley J, Hill NA.

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Aug;60(2 Pt B):1897-900.

PMID:
11969978

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