5 papers
Geometry of Axoneme-like Filament Bundles
A. Ludu, N. Hutchings
We develop a formalism that describes the bending and twisting of axoneme-like filament bundles. We obtain general formulas to determine the relative sliding between any arbitrary…
A model for African trypanosome cell motility and quantitative description of flagellar dynamics
Nathan R. Hutchings, Andrei Ludu
A quantitative description of the flagellar dynamics in the procyclic T. brucei is presented in terms of stationary oscillations and traveling waves. By using digital video microsc…
Generalized Nonlinear Equation and Solutions for Fluid Contour Deformations
A. Ludu, A. R. Ionescu
We generalize the nonlinear one-dimensional equation for a fluid layer surface to any geometry and we introduce a new infinite order differential equation for its traveling solitar…
Multi-scale Analysis of Nonlinear Equations
A. Ludu, R. F. O'Connell, J. P. Draayer
We use a multi-scale similarity analysis which gives specific relations between the velocity, amplitude and width of localized solutions of nonlinear differential equations, whose…
Solitons and wavelets: Scale analysis and bases
A. Ludu, R. F. O'Connell, J. P. Draayer
We use a one-scale similarity analysis which gives specific relations between the velocity, amplitude and width of localized solutions of nonlinear differential equations, whose ex…