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SIAMAM
2000
91views more  SIAMAM 2000»
13 years 10 months ago
Competition in a Chemostat with Wall Attachment
Abstract. A mathematical model of microbial competition for limiting nutrient and wallattachment sites in a chemostat, formulated by Freter et al. in their study of the colonizatio...
Eric D. Stemmons, Hal L. Smith
SIAMAM
2000
128views more  SIAMAM 2000»
13 years 10 months ago
Advection-Diffusion Equations for Internal State-Mediated Random Walks
Abstract. In many biological examples of biased random walks, movement statistics are determined by state dynamics that are internal to the organism or cell and that mediate respon...
Daniel Grünbaum
SIAMAM
2000
71views more  SIAMAM 2000»
13 years 10 months ago
Wave-Block in Excitable Media Due to Regions of Depressed Excitability
We study propagation failure using the one-dimensional scalar bistable equation with a passive "gap" region. By applying comparison principles for this type of equation, ...
James P. Keener, Timothy J. Lewis
SIAMAM
2000
114views more  SIAMAM 2000»
13 years 10 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
74views more  SIAMAM 2000»
13 years 10 months ago
Modeling Injection Molding Processes with Deformable Porous Preforms
This paper deduces a new model aimed at simulating injection molding processes under isothermal conditions. These processes can be generally stated as infiltration problems in init...
D. Ambrosi, Luigi Preziosi
SIAMAM
2000
106views more  SIAMAM 2000»
13 years 10 months ago
Extended Hydrodynamical Model of Carrier Transport in Semiconductors
Abstract. A hydrodynamical model based on the theory of extended thermodynamics is presented for carrier transport in semiconductors. Closure relations for fluxes are obtained by e...
Angelo Marcello Anile, Giovanni Russo, Vittorio Ro...
SIAMAM
2000
90views more  SIAMAM 2000»
13 years 10 months ago
Local Strong Homogeneity of a Regularized Estimator
This paper deals with regularized pointwise estimation of discrete signals which contain large strongly homogeneous zones, where typically they are constant, or linear, or more gen...
Mila Nikolova
SIAMAM
2000
132views more  SIAMAM 2000»
13 years 10 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
131views more  SIAMAM 2000»
13 years 10 months ago
The Description of Homogeneous Branched-Chain Explosions with Slow Radical Recombination by Self-Adjusting Time Scales
A nonlinear multiscale technique is used to describe the time history of a spatially homogeneous chain-branching/chain-breaking explosion when chain branching is much faster than c...
Antonio L. Sanchez, Luis L. Bonilla, Manuel Carret...
SIAMAM
2000
79views more  SIAMAM 2000»
13 years 10 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