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SIAMAM
2000
132views more  SIAMAM 2000»
13 years 9 months ago
An Envelope Method for Analyzing Sequential Pattern Formation
We examine sequential spatial pattern formation in a tissue interaction model for skin organ morphogenesis. Pattern formation occurs as a front sweeps across the domain leaving in ...
Gerhard C. Cruywagen, James D. Murray, Philip K. M...
SIAMAM
2000
114views more  SIAMAM 2000»
13 years 9 months ago
Stability, Relaxation, and Oscillation of Biodegradation Fronts
We study the stability and oscillation of traveling fronts in a three-component, advection-reaction biodegradation model. The three components are pollutant, nutrient, and bacteria...
Jack X. Xin, James M. Hyman
SIAMAM
2002
75views more  SIAMAM 2002»
13 years 9 months ago
Finger Formation in Biofilm Layers
A simple single substrate limiting model of a growing biofilm layer is presented. One-dimensional moving front solutions are analyzed. Under certain conditions these solutions are ...
I. Klapper, J. Dockery
SIAMAM
2002
67views more  SIAMAM 2002»
13 years 9 months ago
A Two-Strain Tuberculosis Model with Age of Infection
Long periods of latency and the emergence of antibiotic resistance due to incomplete treatment are very important features of tuberculosis (TB) dynamics. Previous studies of two-st...
F. A. Milner, M. Iannelli, Z. Feng
SIAMAM
2010
79views more  SIAMAM 2010»
13 years 8 months ago
On the Determination of the Boundary Impedance from the Far Field Pattern
We consider the Helmholtz equation in the half space and suggest two methods for determining the boundary impedance from knowledge of the far field pattern of the time-harmonic in...
Yuri A. Godin, Boris Vainberg