A novel linear upwind DG method for local and nonlocal chemotaxis models with nonlinear diffusion, attraction/repulsion, logistic growth and damping that preserves positivity and prevents numerical blow-up.
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A Keller-Segel PDE reproduces observed brain microvasculature growth patterns and includes a data-driven chemoattractant equation for consistent temporal evolution.
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On a linear DG approximation of chemotaxis models with damping gradient nonlinearities
A novel linear upwind DG method for local and nonlocal chemotaxis models with nonlinear diffusion, attraction/repulsion, logistic growth and damping that preserves positivity and prevents numerical blow-up.
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On a Keller-Segel type equation to model Brain Microvascular Endothelial Cells growth's patterns
A Keller-Segel PDE reproduces observed brain microvasculature growth patterns and includes a data-driven chemoattractant equation for consistent temporal evolution.