Multiple functions of flagellar motility and chemotaxis in bacterial physiology

R Colin, B Ni, L Laganenka… - FEMS microbiology …, 2021 - academic.oup.com
Most swimming bacteria are capable of following gradients of nutrients, signaling molecules
and other environmental factors that affect bacterial physiology. This tactic behavior became …

Signal processing in complex chemotaxis pathways

SL Porter, GH Wadhams, JP Armitage - Nature Reviews Microbiology, 2011 - nature.com
Bacteria use chemotaxis to migrate towards environments that are better for growth.
Chemoreceptors detect changes in attractant levels and signal through two-component …

Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

N Bellomo, A Bellouquid, Y Tao… - Mathematical Models and …, 2015 - World Scientific
This paper proposes a survey and critical analysis focused on a variety of chemotaxis
models in biology, namely the classical Keller–Segel model and its subsequent …

[HTML][HTML] Analysis of the Keller–Segel model with a fractional derivative without singular kernel

A Atangana, BST Alkahtani - Entropy, 2015 - mdpi.com
Using some investigations based on information theory, the model proposed by Keller and
Segel was extended to the concept of fractional derivative using the derivative with fractional …

Chemotaxis as a navigation strategy to boost range expansion

J Cremer, T Honda, Y Tang, J Wong-Ng, M Vergassola… - Nature, 2019 - nature.com
Bacterial chemotaxis, the directed movement of cells along gradients of chemoattractants, is
among the best-characterized subjects in molecular biology,,,,,,,,–, but much less is known …

Population balance modeling: current status and future prospects

D Ramkrishna, MR Singh - Annual review of chemical and …, 2014 - annualreviews.org
Population balance modeling is undergoing phenomenal growth in its applications, and this
growth is accompanied by multifarious reviews. This review aims to fortify the model's …

Synthetic chemotaxis and collective behavior in active matter

B Liebchen, H Lowen - Accounts of chemical research, 2018 - ACS Publications
Conspectus The ability to navigate in chemical gradients, called chemotaxis, is crucial for
the survival of microorganisms. It allows them to find food and to escape from toxins. Many …

Mathematical models for chemotaxis and their applications in self-organisation phenomena

KJ Painter - Journal of theoretical biology, 2019 - Elsevier
Chemotaxis is a fundamental guidance mechanism of cells and organisms, responsible for
attracting microbes to food, embryonic cells into develo** tissues, immune cells to …

Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis–fluid system

Y Tao, M Winkler - Zeitschrift für angewandte Mathematik und Physik, 2015 - Springer
The coupled chemotaxis–fluid system\left {&n_t+ u ⋅ ∇ n= Δ n-∇ ⋅ (n ∇ c)+ rn-μ n^ 2,\&
c_t+ u ⋅ ∇ c= Δ c-c+ n,\& u_t+ ∇ P= Δ u+ n ∇ ϕ+ g (x, t),\& ∇ ⋅ u= 0,. nt+ u·∇ n= Δ n …

Interactions in active colloids

B Liebchen, AK Mukhopadhyay - Journal of Physics: Condensed …, 2021 - iopscience.iop.org
The past two decades have seen a remarkable progress in the development of synthetic
colloidal agents which are capable of creating directed motion in an unbiased environment …