Barry Hughes

Solutions of a non-local aggregation equation: Universal bounds, concavity changes, and efficient numerical solutions

Klemens Fellner, Barry D Hughes

Journal article  |  2020  |  Mathematical Methods in the Applied Sciences

Mathematical Methods in the Applied Sciences published by John Wiley & Sons, Ltd. We consider a one-dimensional aggregation equati..

Persistent exclusion processes: Inertia, drift, mixing, and correlation

Stephen Zhang, Aaron Chong, Barry D Hughes

Journal article  |  2019  |  PHYSICAL REVIEW E

In many biological systems, motile agents exhibit random motion with short-term directional persistence, together with crowding ef..

Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model

Luis Almeida, Patrizia Bagnerini, Giulia Fabrini, Barry D Hughes, Tommaso Lorenzi

Journal article  |  2019  |  ESAIM. Mathematical modelling and numerical analysis = ESAIM. Modelisation mathematique et analyse numerique : M=2AN

We consider a phenotype-structured model of evolutionary dynamics in a population of cancer cells exposed to the action of a cytot..

Interatomic force laws that evade dynamic measurement (vol 13, pg 1088, 2018)

John E Sader, Barry D Hughes, Ferdinand Huber, Franz J Giessibl

Journal article  |  2019  |  Nature Nanotechnology

In the version of this Comment originally published, equation (4) was incorrect; see the correction notice for details. This has n..

Interatomic force laws that evade dynamic measurement

John E Sader, Barry D Hughes, Ferdinand Huber, Franz J Giessibl

Journal article  |  2018  |  Nature Nanotechnology

Measurement of the force between two atoms is performed routinely with the atomic force microscope. The shape of this interatomic ..

Why we do not expect dispersal probability density functions based on a single mechanism to fit real seed shadows

Roger D Cousens, Barry D Hughes, Mohsen B Mesgaran

Journal article  |  2018  |  Journal of Ecology

Bullock et al. (Journal of Ecology 105:6‐19, 2017) have suggested that the theory behind the Wald Analytical Long Distance (WALD) ..

A Correspondence Principle

Barry D Hughes, Barry W Ninham

Journal article  |  2018  |  Substantia

Watching the Internal Clock of Cells while They Move and Divide

Barry D Hughes

Journal article  |  2018  |  BIOPHYSICAL JOURNAL

Distinguishing cell shoving mechanisms

Pingyu Nan, Darragh M Walsh, Kerry A Landman, Barry D Hughes

Journal article  |  2018  |  PLOS ONE

Motivated by in vitro time-lapse images of ovarian cancer spheroids inducing mesothelial cell clearance, the traditional agent-bas..

A Multicellular Model of Intestinal Crypt Buckling and Fission

Axel A Almet, Barry D Hughes, Kerry A Landman, Inke S Nathke, James M Osborne

Journal article  |  2018  |  Bulletin of Mathematical Biology

Crypt fission is an in vivo tissue deformation process that is involved in both intestinal homeostasis and colorectal tumourigenes..