EPSRC project GR/S75314/01

"Analytical approach to realistic models of excitation propagation in heart"

Principal investigator:

• Vadim N. Biktashev

Research staff:

• Rebecca Suckley
• Radostin D. Simitev
• Ibrahim Idris
• Bakhtier N. Vasiev

Dates:

• Start: 01 June 2004
• End: 31 August 2007

Grant value:

• £ 133,999

Results:

• Detailed report for EPSRC

• Updated list of publications with links to preprints:

  1. V.N. Biktashev and R. Suckley "Non-Tikhonov Asymptotic Properties of Cardiac Excitability", Phys. Rev. Lett., 93(16):168103, 2004
  2. 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
  3. 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
  4. V.N. Biktashev "Causodynamics of autowave patterns" Phys. Rev. Lett., 95(8):084501, 2005
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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.
  11. I. Idris and V. N. Biktashev "Critical fronts in initiation of excitation waves" Phys. Rev. E, 76(2): 021906, 2007
  12. 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
  13. 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
  14. I. Idris and V.N. Biktashev "Analytical approach to initiation of propagating fronts" Phys. Rev. Lett., 101: 244101, 2008
  15. 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
  16. 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