Localized waves in biomolecules


    Localized oscillations in the Peyrard-Bishop model of DNA


  • M. Peyrard, S. Cuesta-Lopez and G. James, Modelling DNA at the mesoscale : a challenge for nonlinear science ? Nonlinearity 21 (2008), T91-T100.

    Original publication available at iop.org. pdf file


  • M. Peyrard, S. Cuesta-Lopez and G. James, Nonlinear analysis of the dynamics of DNA breathing, Journal of Biological Physics 35 (2009), 73-89.

    Original publication available at www.springerlink.com. pdf file


  • G. James, A. Levitt and C. Ferreira, Continuation of discrete breathers from infinity in a nonlinear model for DNA breathing, Applicable Analysis 89 (2010), 1447-1465.

    Original publication available at www.tandfonline.com. pdf file


  • M. Peyrard and G. James, Intrinsic localized modes in nonlinear models inspired by DNA, Nonlinear Theory and its Applications (NOLTA), Vol. 3 (2012), 27-51.

    Original publication available at www.nolta.ieice.org. pdf file



    Coupled mechanical-ionic waves along actin filaments


  • C. Ferreira, G. James and M. Peyrard, Nonlinear lattice models for biopolymers: dynamical coupling to a ionic cloud and application to actin filaments, Discrete and Continuous Dynamical Systems S 4 (2011), 1147-1166.

    Original publication available at aimsciences.org. pdf file