Analytical Solutions to the Chavy-Waddy–Kolokolnikov Model of Bacterial Aggregates in Phototaxis by Three Integration Schemes

Keller-Segel Chemotaxis Models: A Review

(2020) Gurusamy Arumugam et al.   ACTA APPLICANDAE MATHEMATICAE

Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology

(2018) Dipankar Kumar et al.   CHINESE JOURNAL OF PHYSICS

Longtime dynamics of the PDE model for the motion toward light of bacterial colonies

(2018) R Taranets et al.   NONLINEARITY

Phototaxis as a Collective Phenomenon in Cyanobacterial Colonies

(2017) P. Varuni et al.   Scientific Reports

Light-controlled flows in active fluids

(2016) Julien Dervaux et al.   Nature Physics

A generalized Kudryashov method to some nonlinear evolution equations in mathematical physics

(2016) Melike Kaplan et al.   NONLINEAR DYNAMICS

A local PDE model of aggregation formation in bacterial colonies

(2016) Paul-Christopher Chavy-Waddy et al.   NONLINEARITY

Biological Aggregation Driven by Social and Environmental Factors: A Nonlocal Model and Its Degenerate Cahn--Hilliard Approximation

(2016) Andrew J. Bernoff et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Generalized receptor law governs phototaxis in the phytoplanktonEuglena gracilis

(2015) Andrea Giometto et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Modeling selective local interactions with memory: Motion on a 2D lattice

(2014) Daniel Weinberg et al.   PHYSICA D-NONLINEAR PHENOMENA

Solitary wave solutions of the fourth order Boussinesq equation through the exp(–Ф(η))-expansion method

(2014) M Akbar et al.   SpringerPlus

Physical, mathematical, and numerical derivations of the Cahn–Hilliard equation

(2013) Dongsun Lee et al.   COMPUTATIONAL MATERIALS SCIENCE

Modeling local interactions during the motion of cyanobacteria

(2012) Amanda Galante et al.   JOURNAL OF THEORETICAL BIOLOGY

Modeling selective local interactions with memory

(2012) Amanda Galante et al.   PHYSICA D-NONLINEAR PHENOMENA

One method for finding exact solutions of nonlinear differential equations

(2011) Nikolay A. Kudryashov   Communications in Nonlinear Science and Numerical Simulation

Fidelity of adaptive phototaxis

(2010) K. Drescher et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Stochastic Models for Phototaxis

(2008) Doron Levy et al.   BULLETIN OF MATHEMATICAL BIOLOGY