List of Publications

  1. "Geometric strong segregation theory for compositionally asymmetric diblock copolymer melts"
    2. C. B. Muratov, M. Novaga, G. Orlandi, and C. J. Garcia-Cervera
    (submitted to J. Chem. Phys.)
  2. "Front propagation in infinite cylinders. I. A vriational approach."
    3. C. B. Muratov and M. Novaga
    (to be published in Commun. Math. Sci.)
  3. "Theory of 360-degree domain walls in thin ferromagnetic films"
    4. C. B. Muratov and V. V. Osipov
    (to be published in J. Appl. Phys.)
  4. "Compensated optimal grids for elliptic boundary-value problems"
    5. F. Posta, S. Y. Shvartsman and C. B. Muratov
    J. Comput. Phys. 227, 8622-8635 (2008).
  5. "Boundary homogenization for periodic arrays of absorbers"
    6. C. B. Muratov and S. Y. Shvartsman
    Multiscale Model. Simul. 7, 44-61 (2008).
  6. "Existence of traveling waves of invasion for Ginzburg-Landau-type problems in infinite cylinders"
    7. M. Lucia, C. B. Muratov, and M. Novaga
    Arch. Rat. Mech. Anal. 188, 475-508 (2008).
  7. "Noise-induced mixed-mode oscillations in a relaxation oscillator near the onset of a limit cycle"
    8. C. B. Muratov and E. Vanden-Eijnden
    Chaos 18, 015111 (2008).
  8. "Front propagation in infinite cylinders. II. The sharp reaction zone limit."
    9. C. B. Muratov and M. Novaga
    Calc. Var. PDE 31, 521-547 (2008).
  9. "Noise can play an organizing role for the recurrent dynamics in excitable media"
    10. C. B. Muratov, E. Vanden Eijnden, and W. E
    Proc. Natl. Acad. Sci. USA 104, 702-707 (2007).
  10. "Quantitative models of developmental pattern formation"
    11. G. T. Reeves, C. B. Muratov, T. Schupbach, and S. Y. Shvartsman
    Devel. Cell 11, 289-300 (2006).
  11. "Non-meanfield deterministic limits in chemical reaction kinetics"
    12. R. E. L. DeVille, C. B. Muratov, and E. Vanden Eijnden
    J. Chem. Phys. 124, 231102 (2006).
  12. "Optimal grid-based methods for thin film micromagnetics simulations"
    13. C. B. Muratov and V. V. Osipov
    J. Comput. Phys. 216, 637-653 (2006).
  13. "Traveling wave solutions of harmonic heat flow"
    14. M. Bertsch, C. B. Muratov, and I. Primi
    Calc. Var. PDE 26, 489-509 (2006).
  14. "Homogenization of boundary conditions for surfaces with regular arrays of traps"
    15. A. M. Berezhkovskii, M. I. Monine, C. B. Muratov, and S. Y. Shvartsman
    J. Chem. Phys. 124, 036103 (2006).
  15. "Two distinct mechanisms of coherence in randomly perturbed dynamical systems"
    16. R. E. L. DeVille, E. Vanden Eijnden, and C.B. Muratov
    Phys. Rev. E 72, 031105 (2005).
  16. "Self-induced stochastic resonance in excitable systems"
    17. C.B. Muratov, E. Vanden Eijnden, and Weinan E
    Physica D 210, 227-240 (2005).
  17. "Signal propagation and failure in discrete autocrine relays"
    18. C.B. Muratov and S. Y. Shvartsman
    Phys. Rev. Lett. 93, 118101 (2004).
  18. "A global variational structure and propagation of disturbances in reaction-diffusion systems of gradient type"
    19. C.B. Muratov
    Discrete Cont. Dyn. S., Ser. B 4, 867-892 (2004).
  19. "Linear vs. nonlinear selection for the propagation speed of the solutions of scalar reaction-diffusion equations invading an unstable equilibrium"
    20. M. Lucia, C.B. Muratov, and M. Novaga
    Commun. Pure Appl. Math. 57, 616-636 (2004).
  20. "Breakup of universality in the generalized spinodal nucleation theory"
    21. C.B. Muratov and E. Vanden Eijnden
    J. Stat. Phys. 114, 605-623 (2004).
  21. "An asymptotic study of the inductive pattern formation mechanism in Drosophila egg development"
    22. C.B. Muratov and S.Y. Shvartsman
    Physica D 186, 93-108 (2003).
  22. "Discrete models of autocrine cell communication in epithelial layers"
    23. M. Pribyl, C.B. Muratov and S.Y. Shvartsman
    Biophys. J. 84, 3624-3635 (2003).
  23. "Free boundary problem and its applications to reaction-diffusion systems of activator-inhibitor type" C.B. Muratov
    Proceedings of the Conference on Dynamics of Patterns in Reaction-Diffusion Systems
    and the Related Topics, RIMS, Kyoto University    , 63-78 (2003).
  24. "Long-range signal transmission in autocrine relays"
    25. M. Pribyl, C.B. Muratov and S.Y. Shvartsman
    Biophys. J. 84, 883-896 (2003).
  25. "Transitions in the model of epithelial patterning"
    26. M. Pribyl, C.B. Muratov and S.Y. Shvartsman
    Devel. Dynamics 226, 155-159 (2003).
  26. "Theory of domain patterns in systems with long-range interactions of Coulomb type"
    27. C. B. Muratov
    Phys. Rev. E 66, 066108 (2002).
  27. "Modeling and computational analysis of EGF receptor-mediated cell communication in Drosophila oogenesis"
    28. S.Y. Shvartsman, C.B. Muratov and D.A. Lauffenburger
    Development 129 , 2577-2589 (2002).
  28. "Theory of phase separation kinetics in polymer-liquid crystal systems"
    29. C.B. Muratov and W. E
    J. Chem. Phys. 116, 4723-4734 (2002).
  29. "Stability of the static spike autosolitons in the Gray-Scott model"
    30. C.B. Muratov and V.V. Osipov
    SIAM J. Appl. Math. 62, 1463-1487 (2002).
  30. "Traveling spike autosolitons in the Gray-Scott model"
    31. C.B. Muratov and V.V. Osipov
    Physica D 155, 112-131 (2001).
  31. "Spike autosolitons and pattern formation scenarios in the two-dimensional Gray-Scott model"
    32. C.B. Muratov and V.V. Osipov
    Eur. Phys. J. B  22, 213-221 (2001).
  32. "On the well-posedness of the equations for the smoothed phase space distributions function and irreversibility in classical statistical mechanics"
    33. C.B. Muratov
    J. Phys. A: Math. Gen.  34, 4641-4651 (2001).
  33. "Static spike autosolitons in the Gray-Scott model"
    34. C.B. Muratov and V.V. Osipov
    J. Phys. A: Math. Gen.  33, 8893-8916 (2000).
  34. "A quantitative approximation scheme for the traveling wave solutions in the Hodgkin-Huxley model"
    35. C.B. Muratov
    Biophys. J.  79, 2893-2901 (2000).
  35. "Spike autosolitons in the Gray-Scott model"
    36. C.B. Muratov and V.V. Osipov
    CAMS Rep. 9900-10, NJIT, Newark, NJ 07102
  36. "Theory of spike spiral waves in a reaction-diffusion system"
    37. C.B. Muratov and V. V. Osipov
    Phys. Rev. E 60, 242-246 (1999)
  37. "Traveling wave solutions in the Burridge-Knopoff model"
    38. C.B. Muratov
    Phys. Rev. E 59, 3847-3857 (1999)
  38. "Unusual coarsening during phase separation in polymer systems"
    39. C.B. Muratov
    Phys. Rev. Lett. 81, 3699-3702 (1998)
  39. "Instabilities and disorder of the domain patterns in the systems with competing interactions"
    40. C.B.Muratov
    Phys. Rev. Lett.78, 3149-3152 (1997)
  40. "Synchronization, chaos, and the breakdown of the collective domain oscillations in reaction-diffusion systems"
    41. C.B. Muratov
    Phys. Rev. E 55, 1463-1477 (1997)
  41. "Scenarios of domain pattern formation in a reaction-diffusion system"
    42. C.B. Muratov and V.V.Osipov
    Phys. Rev. E 54, 4860-4879 (1996)
  42. "Self-replication and splitting of domain patterns in reaction-diffusion systems with the fast inhibitor"
    43. C.B. Muratov
    Phys. Rev. E 54, 3369-3376 (1996)
  43. "General theory of instabilities for patterns with sharp interfaces in reaction-diffusion systems"
    44. C.B. Muratov and V.V. Osipov
    Phys. Rev. E 53, 3101-3116 (1996)
  44. "Ultrafast traveling spike autosolitons in reaction-diffusion systems"
    45. V.V. Osipov and C.B. Muratov
    Phys Rev. Lett. 75, 338-341 (1995)
  45. "Properties of wide-peak autosolitons in electron-hole and gas plasma"
    46. V.V. Osipov and C.B. Muratov
    Phys. Rev. E 50, 3251-3254 (1994)