Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review

R Eftimie - Journal of mathematical biology, 2012 - Springer
We briefly review hyperbolic and kinetic models for self-organized biological aggregations
and traffic-like movement. We begin with the simplest models described by an advection …

Emergent behaviour in multi-particle systems with non-local interactions

T Kolokolnikov, JA Carrillo, A Bertozzi… - Physica D: Nonlinear …, 2013 - Elsevier
This special issue grew out of a BIRS workshop of the same title that was held in February
2012. It contains new research contributions from a broad spectrum of researchers on topics …

Emergent behaviour of a generalized Viscek-type flocking model

SY Ha, E Jeong, MJ Kang - Nonlinearity, 2010 - iopscience.iop.org
We present a planar agent-based flocking model with a distance-dependent communication
weight. We derive a sufficient condition for the asymptotic flocking in terms of the initial …

Paraglide: Interactive parameter space partitioning for computer simulations

S Bergner, M Sedlmair, T Moller… - … on Visualization and …, 2013 - ieeexplore.ieee.org
In this paper, we introduce ParaGlide, a visualization system designed for interactive
exploration of parameter spaces of multidimensional simulation models. To get the right …

Interplay of unit-speed constraint and singular communication in the thermodynamic Cucker–Smale model

H Ahn, J Byeon, SY Ha - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
We study collision avoidance resulting from unit-speed constraint and singular
communication weight in a thermo-mechanical Cucker–Smale (TCS) flocking ensemble …

Emergence of Lévy walks in systems of interacting individuals

S Fedotov, N Korabel - Physical Review E, 2017 - APS
We propose a model of superdiffusive Lévy walk as an emergent nonlinear phenomenon in
systems of interacting individuals. The aim is to provide a qualitative explanation of recent …

Anomalous stochastic transport of particles with self-reinforcement and mittag–leffler distributed rest times

D Han, DV Alexandrov, A Gavrilova, S Fedotov - Fractal and Fractional, 2021 - mdpi.com
We introduce a persistent random walk model for the stochastic transport of particles
involving self-reinforcement and a rest state with Mittag–Leffler distributed residence times …

Collective behavior of biological aggregations in two dimensions: a nonlocal kinetic model

RC Fetecau - Mathematical models and methods in applied …, 2011 - World Scientific
We construct and investigate a new nonlocal kinetic model for the formation and movement
of animal groups in two dimensions. The model generalizes to two dimensions, the one …

Emergence of flocking for a multi-agent system moving with constant speed

SH Choi, SY Ha - Communications in Mathematical Sciences, 2016 - intlpress.com
Abstract We present a Cucker–Smale-type flocking model for interacting multi-agents (or
particles) moving with constant speed in arbitrary dimensions, and derive a sufficient …

Aggregation and travelling wave dynamics in a two-population model of cancer cell growth and invasion

V Bitsouni, D Trucu, MAJ Chaplain… - … Medicine and Biology …, 2018 - academic.oup.com
Cells adhere to each other and to the extracellular matrix (ECM) through protein molecules
on the surface of the cells. The breaking and forming of adhesive bonds, a process critical in …