A DeepParticle method for learning and generating aggregation patterns in multi-dimensional Keller-Segel chemotaxis systems

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Physiological, cellular and medical topics (92Cxx)

Cites Work

Unnamed Item
Unnamed Item
Suppression of chemotactic explosion by mixing
Initiation of slime mold aggregation viewed as an instability
PDE models for chemotactic movements: parabolic, hyperbolic and kinetic.
Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
Global regularity of chemotaxis equations with advection
Desingularization of periodic vortex sheet roll-up
A blob method for diffusion
Combinatorial optimization. Polyhedra and efficiency (3 volumes)
Discretization of a vortex sheet with an example of roll-up
A hybrid mass transport finite element method for Keller-Segel type systems
Stochastic particle approximation for measure valued solutions of the 2D Keller-Segel system
DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method
A blob method for the aggregation equation
Random walk with persistence and external bias
A random particle blob method for the Keller-Segel equation and convergence analysis
Singular Solutions and Ill-Posedness for the Evolution of Vortex Sheets
On the stabilizing effect of convection in three-dimensional incompressible flows
Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
Computing Effective Diffusivity of Chaotic and Stochastic Flows Using Structure-Preserving Schemes
Convergence of vortex methods for weak solutions to the 2‐D euler equations with vortex sheet data
Stretch, Twist, Fold: The Fast Dynamo
A study of blow-ups in the Keller–Segel model of chemotaxis
Sharp Error Estimates on a Stochastic Structure-Preserving Scheme in Computing Effective Diffusivity of 3D Chaotic Flows
Convection-induced singularity suppression in the Keller-Segel and other non-linear PDEs
Connections between deep learning and partial differential equations
Computing effective diffusivities in 3D time-dependent chaotic flows with a convergent Lagrangian numerical method
A Semi-Lagrangian Computation of Front Speeds of G-equation in ABC and Kolmogorov Flows with Estimation via Ballistic Orbits
Unconditionally Bound Preserving and Energy Dissipative Schemes for a Class of Keller--Segel Equations
Convergence Analysis of Stochastic Structure-Preserving Schemes for Computing Effective Diffusivity in Random Flows
A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices
Biomixing by Chemotaxis and Enhancement of Biological Reactions
A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows
On the fast spreading scenario

This page was built for publication: A DeepParticle method for learning and generating aggregation patterns in multi-dimensional Keller-Segel chemotaxis systems