Propagation of Short‐Wavelength Acoustic Waves through an Inhomogeneous Medium

On the Propagation of Calcium Waves in an Inhomogeneous Medium

Although the exact details are disputed, it is well established that propagating waves of increased intracellular free Ca2+ concentration arise from a positive feedback or autocatalytic mechanism whereby Ca2+ stimulates its own release. Most previous modeling of the propagation of Ca2+ waves has assumed that the sites of autocatalytic Ca2+ release, the activation sites, are homogeneously distri...

Wave Propagation in an Inhomogeneous Medium

Reflected Waves in an Inhomogeneous Excitable Medium

Propagation can be encumbered in an excitable cable in which intrinsic properties change abruptly. A sudden increase in diameter or a decrease in conductivity or excitability can lead to propagation block or delay in propagation with or without reflection. We study such transient phenomena from a geometric point of view. A simple two-cell caricature, with one cell enlarged to mimic diameter inc...

Oscillatory Waves in an Inhomogeneous Excitable Medium

An excitable medium is a nonlinear dissipative dynamical system able to sustain undamped wave propagation. Examples of excitable media include cardiac tissue and neural media. This thesis investigates a class of novel dynamical phenomena in excitable media, known collectively as oscillatory waves. The examples of oscillatory waves considered here are Tango waves, breathers and pulse generators....

A new method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium

A new method is presented for solving the inverse scattering problem of determining the speed of sound in an inhomogeneous medium from the far-field data. If F (a; k , 6 ) are the far-field data corresponding to an incident plane wave with wavenumber k moving in the direction & and F j , ( f ; k , &) are the far-field data for a ball no containing the inhomogeneous region and satisfying an impe...