Motility-induced phase separation

ME Cates, J Tailleur - Annu. Rev. Condens. Matter Phys., 2015‏ - annualreviews.org
Self-propelled particles include both self-phoretic synthetic colloids and various
microorganisms. By continually consuming energy, they bypass the laws of equilibrium …

Active Brownian particles: From individual to collective stochastic dynamics

P Romanczuk, M Bär, W Ebeling, B Lindner… - The European Physical …, 2012‏ - Springer
We review theoretical models of individual motility as well as collective dynamics and
pattern formation of active particles. We focus on simple models of active dynamics with a …

Non-reciprocity across scales in active mixtures

A Dinelli, J O'Byrne, A Curatolo, Y Zhao… - Nature …, 2023‏ - nature.com
In active matter, particles typically experience mediated interactions, which are not
constrained by Newton's third law and are therefore generically non-reciprocal. Non …

[کتاب][B] Mathematical biology: I. An introduction

JD Murray - 2007‏ - books.google.com
It has been over a decade since the release of the now classic original edition of Murray's
Mathematical Biology. Since then mathematical biology has grown at an astonishing rate …

Biomimicry of bacterial foraging for distributed optimization and control

KM Passino - IEEE control systems magazine, 2002‏ - ieeexplore.ieee.org
We explain the biology and physics underlying the chemotactic (foraging) behavior of E. coli
bacteria. We explain a variety of bacterial swarming and social foraging behaviors and …

A user's guide to PDE models for chemotaxis

T Hillen, KJ Painter - Journal of mathematical biology, 2009‏ - Springer
Mathematical modelling of chemotaxis (the movement of biological cells or organisms in
response to chemical gradients) has developed into a large and diverse discipline, whose …

Diffusive transport without detailed balance in motile bacteria: does microbiology need statistical physics?

ME Cates - Reports on Progress in Physics, 2012‏ - iopscience.iop.org
Microbiology is the science of microbes, particularly bacteria. Many bacteria are motile: they
are capable of self-propulsion. Among these, a significant class execute so-called run-and …

Continuous and discrete mathematical models of tumor-induced angiogenesis

ARA Anderson, MAJ Chaplain - Bulletin of mathematical biology, 1998‏ - Elsevier
Angiogenesis, the formation of blood vessels from a pre-existing vasculature, is a process
whereby capillary sprouts are formed in response to externally supplied chemical stimuli …

Finite-time blow-up in low-dimensional Keller–Segel systems with logistic-type superlinear degradation

M Winkler - Zeitschrift für angewandte Mathematik und Physik, 2018‏ - Springer
We consider radially symmetric solutions of the Keller–Segel system with generalized
logistic source given by {u_t= Δ u-∇ ⋅ (u ∇ v)+ λ u-μ u^ κ,\0= Δ v-v+ u,.\qquad\qquad (⋆) ut …

Sequential establishment of stripe patterns in an expanding cell population

C Liu, X Fu, L Liu, X Ren, CKL Chau, S Li, L **ang… - Science, 2011‏ - science.org
Periodic stripe patterns are ubiquitous in living organisms, yet the underlying developmental
processes are complex and difficult to disentangle. We describe a synthetic genetic circuit …