EPSRC projects EP/D074789/1 and EP/D074746/1

"Response functions for drift of spiral and scroll waves"

Investigators

• Links to publications resulted from the project:
  1. 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
  2. V.N.Biktashev, D.Barkley and I.V.Biktasheva, "Orbital motion of spiral waves in excitable media" , Phys Rev Lett, 104(5): 058302, 2010
  3. 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
  4. 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
  5. A.J.Foulkes, D.Barkley, V.N.Biktashev and I.V.Biktasheva, "Alternative Stable Scroll Waves and Conversion of Autowave Turbulence" , Chaos, 20: 043136 (2010)
  6. 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
  7. H. Dierckx, H. Verschelde, Ö. Selsil and V. N. Biktashev, "Buckling of scroll waves" Phys Rev Lett, 109(17):174102, (2012)
  8. 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)
  9. 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
  10. J. Langham, I. Biktasheva and D. Barkley "Asymptotic dynamics of reflecting spiral waves", Phys Rev E 90: 062902 (2014)
  11. 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)
• Software
  1. D.Barkley, V.N.Biktashev, I.V.Biktasheva, G.V.Bordyugov, and A.J.Foulkes, "DXSpiral: a code to study the Response Functions of spiral waves, to predict the slow dynamics of the vortices"
  2. V.N.Biktashev and A.J.Foulkes, "EZRide: a code for simulating spiral waves in comoving frame of reference"

• Movies
  • Orbital motion [2]
  • 2D: Conversion of slow into fast spiral due to interaction with the boundary [5]
  • 3D: Conversion of negative filament tension turbulence into positive filament tension contraction, due to critical curvature of the filament [5]