We study the spatiotemporal formation of patterns in a diffusive FitzHugh–Nagumo network
where the effect of electromagnetic induction has been introduced in the standard …

Analytically, we study the dynamics of ionic waves in a microtubule modeled by a nonlinear
resistor, inductor, and capacitor (RLC) transmission line. We show through the application of …

We study the dynamic of modulated solitary wave patterns in alpha-helical proteins going
beyond the standard nearest-neighbor interaction by taking into account influence of long …

An improved quantum model for exciton–phonon dynamics in an α-helix is investigated
taking into account the interspine coupling and the influence of power-law long-range …

We consider the Davydov model of {\alpha}-helix protein chain with both exciton-exciton and
excitonphonon couplings and investigate on the evolution of elliptic solitons. In the discrete …

We study the dynamics of modulated ionic waves in a microtubule modeled by a nonlinear
RLC transmission line (Tuszynski et al., 2004; Sataric et al., 2009). We show through the …

The dynamics of three coupled α-polypeptide chains of a collagen molecule is investigated
with the influence of power-law long-range exciton-exciton interactions. The continuum limit …

The dynamics of Davydov's model of α-helical proteins is considered by including the
influence of inhomogeneities in the monomer units. Using the D2 ansatz for the exciton …

Under investigation in this paper is the variable coefficient three-coupled nonlinear
Schrödinger (CNLS) equations, which govern the dynamics of solitonic excitations along …

In the present work, the effects of nonlinear saturations on the dynamics of three excitons in
the protein chain are investigated. Extending the Davydov Hamiltonian to three excitons, it is …