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SIAMAM
2008
93views more  SIAMAM 2008»
13 years 9 months ago
Mutually Exclusive Spiky Pattern and Segmentation Modeled by the Five-Component Meinhardt--Gierer System
We consider the five-component Meinhardt-Gierer model for mutually exclusive patterns and segmentation which was proposed in [11]. We prove rigorous results on the existence and st...
Juncheng Wei, Matthias Winter
SIAMAM
2008
93views more  SIAMAM 2008»
13 years 9 months ago
Partially Reflected Diffusion
The radiation (reactive or Robin) boundary condition for the diffusion equation is widely used in chemical and biological applications to express reactive boundaries. The underlyin...
A. Singer, Z. Schuss, A. Osipov, D. Holcman
SIAMAM
2008
96views more  SIAMAM 2008»
13 years 9 months ago
Hill's Equation with Random Forcing Terms
Motivated by a class of orbit problems in astrophysics, this paper considers solutions to Hill's equation with forcing strength parameters that vary from cycle to cycle. The ...
Fred C. Adams, Anthony M. Bloch
SIAMAM
2008
91views more  SIAMAM 2008»
13 years 9 months ago
Mesenchymal Motion Models in One Dimension
: Mesenchymal motion denotes a form of cell movement through tissue, which can be observed for certain cancer metastasis. In [11], a mathematical model for this form of movement wa...
Zhi-An Wang, Thomas Hillen, Michael Li
SIAMAM
2000
78views more  SIAMAM 2000»
13 years 9 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