Suppressing chemotactic blow-up through a fast splitting scenario on the plane
We revisit the question of global regularity for the Patlak–Keller–Segel (PKS) chemotaxis
model. The classical 2D parabolic-elliptic model blows up for initial mass M> 8 π M> 8 π. We …
model. The classical 2D parabolic-elliptic model blows up for initial mass M> 8 π M> 8 π. We …
A DeepParticle method for learning and generating aggregation patterns in multi-dimensional Keller–Segel chemotaxis systems
We study a regularized interacting particle method for computing aggregation patterns and
near singular solutions of a Keller–Segel (KS) chemotaxis system in two and three space …
near singular solutions of a Keller–Segel (KS) chemotaxis system in two and three space …
On the fast spreading scenario
We study two types of divergence-free fluid flows on unbounded domains in two and three
dimensions—hyperbolic and shear flows—and their influence on chemotaxis and …
dimensions—hyperbolic and shear flows—and their influence on chemotaxis and …
A Novel Stochastic Interacting Particle-Field Algorithm for 3D Parabolic-Parabolic Keller-Segel Chemotaxis System
We introduce an efficient stochastic interacting particle-field (SIPF) algorithm with no history
dependence for computing aggregation patterns and near singular solutions of parabolic …
dependence for computing aggregation patterns and near singular solutions of parabolic …
Mixing, flocking and cooperation: Analytical studies of transport phenomena in biology
S He - 2018 - search.proquest.com
Transport behavior widely takes place in biological phenomena. In this thesis, I study the
delicate interactions between transportation and other forces in biology, diffusion, alignment …
delicate interactions between transportation and other forces in biology, diffusion, alignment …