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SIAMAM
2000
89views more  SIAMAM 2000»
13 years 5 months ago
An Efficient Numerical Algorithm for Cracks Partly in Frictionless Contact
An algorithm for a loaded crack partly in frictionless contact is presented. The problem is nonlinear in the sense that the equations of linear elasticity are supplemented by certa...
Gunnar Peters, Johan Helsing
SIAMAM
2000
132views more  SIAMAM 2000»
13 years 5 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 5 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
2000
78views more  SIAMAM 2000»
13 years 5 months ago
Spatial Noise Stabilizes Periodic Wave Patterns in Oscillatory Systems on Finite Domains
Invasions in oscillatory systems generate in their wake spatiotemporal oscillations, consisting of either periodic wavetrains or irregular oscillations that appear to be spatiotemp...
Alison L. Kay, Jonathan A. Sherratt
SIAMAM
2000
79views more  SIAMAM 2000»
13 years 5 months ago
A Mathematical Model for Spatially Varying Extracellular Matrix Alignment
Orientation of extracellular matrix fibers in the skin is a key ingredient of tissue appearance and function, and differences in fiber alignment are one of the main distinctions be...
John C. Dallon, Jonathan A. Sherratt