The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
A model of chemotaxis is analyzed that prevents blow-up of solutions. The model
consists of a system of nonlinear partial differential equations for the spatial population
density of a species and the spatial concentration of a chemoattractant in -dimensional
space. We prove the existence of solutions, which exist globally, and are
-bounded on
finite time intervals. The hypotheses require nonlocal conditions on the species-induced
production of the chemoattractant.
A model of tumor growth in a spatial environment is analyzed. The model includes
proliferating and quiescent compartments of tumor cells indexed by successively mutated cell phenotypes
of increasingly proliferative aggressiveness. The model incorporates spatial dependence
due to both random motility and directed movement haptotaxis. The model structures tumor cells
by both cell age and cell size. The model consists of a system of nonlinear partial differential
equations for the compartments of...
Download Results (CSV)