Barry Hughes

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

Stephen Zhang, Aaron Chong, Barry D Hughes

Journal article  |  2019  |  Physical Review E

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

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

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

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

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

Infection-acquired versus vaccine-acquired immunity in an SIRWS model.

Tiffany Leung, Patricia T Campbell, Barry D Hughes, Federico Frascoli, James M McCaw

Journal article  |  2018  |  Infectious Disease Modelling

In some disease systems, the process of waning immunity can be subtle, involving a complex relationship between the duration of im..

Radio pulsar glitches as a state-dependent Poisson process

W Fulgenzi, A Melatos, BD Hughes

Journal article  |  2017  |  Monthly Notices of the Royal Astronomical Society

What is the optimal distribution of myelin along a single axon?

Darragh M Walsh, Kerry A Landman, Barry D Hughes

Journal article  |  2017  |  Neuroscience Letters

The myelin sheath that insulates some axons in the central nervous system allows for faster signal conduction. Previously, axons w..

3D hybrid modelling of vascular network formation

Holger Perfahl, Barry D Hughes, Tomas Alarcon, Philip K Maini, Mark C Lloyd, Matthias Reuss, Helen M Byrne

Journal article  |  2017  |  Journal of Theoretical Biology

Periodic solutions in an SIRWS model with immune boosting and cross-immunity

Tiffany Leung, Barry D Hughes, Federico Frascoli, James M McCaw

Journal article  |  2016  |  Journal of Theoretical Biology

Evidence for Cooperative Selection of Axons for Myelination by Adjacent Oligodendrocytes in the Optic Nerve

Darragh M Walsh, Tobias D Merson, Kerry A Landman, Barry D Hughes

Journal article  |  2016  |  PLOS ONE

Is cell migration or proliferation dominant in the formation of linear arrays of oligodendrocytes?

DM Walsh, PT Roth, WR Holmes, KA Landman, TD Merson, BD Hughes

Journal article  |  2016  |  Journal of Theoretical Biology

Oligodendrocytes are the myelin-producing cells of the central nervous system that are responsible for electrically insulating axo..

Evolutionary dynamics of phenotype-structured populations: from individual-level mechanisms to population-level consequences

Rebecca H Chisholm, Tommaso Lorenzi, Laurent Desvillettes, Barry D Hughes

Journal article  |  2016  |  ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

A correspondence principle

Barry D Hughes, Barry W Ninham

Journal article  |  2016  |  Physica A: Statistical Mechanics and its Applications

Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments

Tommaso Lorenzi, Rebecca H Chisholm, Laurent Desvillettes, Barry D Hughes

Journal article  |  2015  |  Journal of Theoretical Biology

Length-based connectivity metrics and their ecological interpretation

CM Baker, BD Hughes, KA Landman

Journal article  |  2015  |  Ecological Indicators

When push comes to shove: Exclusion processes with nonlocal consequences

Axel A Almet, Michael Pan, Barry D Hughes, Kerry A Landman

Journal article  |  2015  |  Physica A: Statistical Mechanics and its Applications

An In Silico Agent-Based Model Demonstrates Reelin Function in Directing Lamination of Neurons during Cortical Development

James R Caffrey, Barry D Hughes, Joanne M Britto, Kerry A Landman

Journal article  |  2014  |  PLoS ONE

Erosion by a one-dimensional random walk

Rebecca H Chisholm, Barry D Hughes, Kerry A Landman

Journal article  |  2014  |  Physical Review E

A dynamical model of tumour immunotherapy

Federico Frascoli, Peter S Kim, Barry D Hughes, Kerry A Landman

Journal article  |  2014  |  Mathematical Biosciences

Interacting motile agents: Taking a mean-field approach beyond monomers and nearest-neighbor steps

Catherine J Penington, Barry D Hughes, Kerry A Landman

Journal article  |  2014  |  Physical Review E

Conduction and diffusion in percolating systems

B HUGHES

Book Chapter  |  2014

Random walks in nonuniform environments with local dynamic interactions

Christopher M Baker, Barry D Hughes, Kerry A Landman

Journal article  |  2013  |  Physical Review E

Continuum models of cohesive stochastic swarms: The effect of motility on aggregation patterns

Barry D Hughes, Klemens Fellner

Journal article  |  2013  |  Physica D: Nonlinear Phenomena

Mathematical modelling of gubernaculum during inguino-scrotal migration shows limb bud characteristics

Rebecca H Chisholm, Barry D Hughes, Kerry A Landman, John M Hutson

Journal article  |  2013  |  Journal of Pediatric Surgery

Analytic Study of Three-Dimensional Single Cell Migration with and without Proteolytic Enzymes

Rebecca H Chisholm, Barry D Hughes, Kerry A Landman, Muhammad H Zaman

Journal article  |  2013  |  Cellular and Molecular Bioengineering

A Computational Model for Collective Cellular Motion in Three Dimensions: General Framework and Case Study for Cell Pair Dynamics

Federico Frascoli, Barry D Hughes, Muhammad H Zaman, Kerry A Landman

Journal article  |  2013  |  PLoS One

Collective motion of dimers

Catherine J Penington, Karolina Korvasova, Barry D Hughes, Kerry A Landman

Journal article  |  2012  |  Physical Review E

Effect of multiplicative noise on least-squares parameter estimation with applications to the atomic force microscope

John E Sader, Barry D Hughes, Julian A Sanelli, Evan J Bieske

Journal article  |  2012  |  Review of Scientific Instruments

Building macroscale models from microscale probabilistic models: A general probabilistic approach for nonlinear diffusion and multispecies phenomena

Catherine J Penington, Barry D Hughes, Kerry A Landman

Journal article  |  2011  |  Physical Review E

Distortion in the thermal noise spectrum and quality factor of nanomechanical devices due to finite frequency resolution with applications to the atomic force microscope

John E Sader, Julian Sanelli, Barry D Hughes, Jason P Monty, Evan J Bieske

Journal article  |  2011  |  Review of Scientific Instruments

Dispersal, settling and layer formation

James R Caffrey, Barry D Hughes, Kerry A Landman

Journal article  |  2011  |  Mathematical Biosciences

When are cellular oscillators sufficient for sequential segmentation?

Rebecca H Chisholm, Barry D Hughes, Kerry A Landman, Georg Mayer, Paul M Whitington

Journal article  |  2011  |  Journal of Theoretical Biology

Building a Morphogen Gradient without Diffusion in a Growing Tissue

Rebecca H Chisholm, Barry D Hughes, Kerry A Landman

Journal article  |  2010  |  PLoS One

Cell invasion with proliferation mechanisms motivated by time-lapse data

Matthew J Simpson, Kerry A Landman, Barry D Hughes

Journal article  |  2010  |  Physica A - Statistical Mechanics and its Applications

A model for mesoscale patterns in motile populations

Matthew J Simpson, Kerry A Landman, Barry D Hughes, Anthony E Fernando

Journal article  |  2010  |  Physica A - Statistical Mechanics and its Applications

Distinguishing between Directed and Undirected Cell Motility within an Invading Cell Population

Matthew J Simpson, Kerry A Landman, Barry D Hughes

Journal article  |  2009  |  Bulletin of Mathematical Biology

Pathlines in exclusion processes

Matthew J Simpson, Kerry A Landman, Barry D Hughes

Journal article  |  2009  |  Physical Review E

Multi-species simple exclusion processes

Matthew J Simpson, Kerry A Landman, Barry D Hughes

Journal article  |  2009  |  Physica A - Statistical and Theoretical Physics

Cell lineage tree models of neurogenesis

Jennifer L Slater, Kerry A Landman, Barry D Hughes, Qin Shen, Sally Temple

Journal article  |  2009  |  Journal of Theoretical Biology

Diffusing populations: Ghosts or folks?

M SIMPSON, B HUGHES, K LANDMAN

Journal article  |  2009  |  Australasian journal of engineering education

Conduction and diffusion in percolating systems

BD Hughes

Book Chapter  |  2009

New integer linear programming approaches for course timetabling

Natashia Boland, Barry D Hughes, Liam TG Merlot, Peter J Stuckey

Journal article  |  2008  |  Computers & Operations Research

T cell development in the thymus: From periodic seeding to constant output

Anna Q Cai, Kerry A Landman, Barry D Hughes, Colleen M Witt

Journal article  |  2007  |  Journal of Theoretical Biology

Travelling waves of attached and detached cells in a wound-healing cell migration assay

Kerry A Landman, Anna Q Cai, Barry D Hughes

Journal article  |  2007  |  Bulletin of Mathematical Biology

Simulating invasion with cellular automata: Connecting cell-scale and population-scale properties

Matthew J Simpson, Alistair Merrifield, Kerry A Landman, Barry D Hughes

Journal article  |  2007  |  Physical Review E

Multi-scale modeling of a wound-healing cell migration assay

Anna Q Cai, Kerry A Landman, Barry D Hughes

Journal article  |  2007  |  Journal of Theoretical Biology

Theoretical size distribution of fossil taxa: analysis of a null model

William J Reed, Barry D Hughes

Journal article  |  2007  |  Theoretical Biology and Medical Modelling

Looking inside an invasion wave of cells using continuum models: Proliferation is the key

Matthew J Simpson, Kerry A Landman, Barry D Hughes, Donald F Newgreen

Journal article  |  2006  |  Journal of Theoretical Biology

Evolving mortal networks

Jennifer L Slater, Barry D Hughes, Kerry A Landman

Journal article  |  2006  |  Physical Review E

Modelling directional guidance and motility regulation in cell migration

AQ Cai, KA Landman, BD Hughes

Journal article  |  2006  |  Bulletin of Mathematical Biology

The density of the time to ruin for a sparre andersen process with erlang arrivals and exponential claims

DCM Dickson, BD Hughes, Z Lianzeng

Journal article  |  2005  |  Scandinavian Actuarial Journal

A model explaining the size distribution of gene and protein families

WJ Reed, BD Hughes

Journal article  |  2004  |  Mathematical Biosciences

Stochastically evolving networks

DYC Chan, BD Hughes, AS Leong, WJ Reed

Journal article  |  2003  |  Physical Review E

On the distribution of family names

WJ Reed, BD Hughes

Journal article  |  2003  |  Physica A - Statistical and Theoretical Physics

A hybrid algorithm for the examination timetabling problem

LTG Merlot, N Boland, BD Hughes, PJ Stuckey

Conference Proceedings  |  2003  |  Lecture Notes in Computer Science: Practice and Theory of Automated Timetabling IV

Power-law distributions from exponential processes: an explanation for the occurrence of long-tailed distributions in biology and elsewhere

WJ REED, BD HUGHES

Conference Proceedings  |  2003  |  Scientiae Mathematicae Japonicae

From gene families and genera to incomes and internet file sizes: Why power laws are so common in nature

WJ Reed, BD Hughes

Journal article  |  2002  |  Physical Review E

On the size distribution of live genera

WJ Reed, BD Hughes

Journal article  |  2002  |  Journal of Theoretical Biology

Anomalous diffusion, stable processes, and generalized functions

BD Hughes

Journal article  |  2002  |  Physical Review E

Some applications of classical analysis in physics and physical chemistry

BD Hughes

Journal article  |  1997  |  Colloids and Surfaces A: Physicochemical and Engineering Aspects

Random Walks and Random Environments: Random environments

Barry D Hughes

Book  |  1996

This is the second volume of a two-volume work devoted to probability theory in physical chemistry, and engineering.

Random Walks and Random Environments: Random walks

Barry D Hughes

Book  |  1995

Volume 1.

ON THE STRESS DEPRESSION UNDER A SANDPILE

K LIFFMAN, DYC CHAN, BD HUGHES

Journal article  |  1994  |  Powder Technology

SURFACE-ENERGY OF SOLIDS

M YUDIN, BD HUGHES

Journal article  |  1994  |  Physical Review B

NON-NEWTONIAN EFFECTS ON IMMISCIBLE VISCOUS FINGERING IN A RADIAL HELE-SHAW CELL

JE SADER, DYC CHAN, BD HUGHES

Journal article  |  1994  |  Physical Review E

STOCHASTIC TRANSPORT IN HETEROGENEOUS MEDIA WITH MULTIPLE FAMILIES OF TRANSPORT PATHS

BD HUGHES, M SAHIMI

Journal article  |  1993  |  Physical Review E

TENSILE STRESSES AROUND BOREHOLES DUE TO TRANSIENT FLUID-FLOW

DYC CHAN, BD HUGHES, L PATERSON

Journal article  |  1993  |  International Journal for Numerical and Analytical Methods in Geomechanics

DIFFUSION IN DISORDERED-SYSTEMS WITH MULTIPLE FAMILIES OF TRANSPORT PATHS

BD HUGHES, M SAHIMI

Journal article  |  1993  |  Physical Review Letters

TRANSIENT GAS-FLOW AROUND BOREHOLES

DYC CHAN, BD HUGHES, L PATERSON

Journal article  |  1993  |  Transport in Porous Media

FORCE DISTRIBUTION IN A 2-DIMENSIONAL SANDPILE

K LIFFMAN, DYC CHAN, BD HUGHES

Journal article  |  1992  |  Powder Technology

MOBIUS, MELLIN, AND MATHEMATICAL PHYSICS

BW NINHAM, BD HUGHES, NE FRANKEL, ML GLASSER

Journal article  |  1992  |  Physica A: Statistical Mechanics and its Applications

RESISTOR NETWORKS WITH DISTRIBUTED BREAKDOWN VOLTAGES

DYC CHAN, BD HUGHES, L PATERSON, C SIRAKOFF

Journal article  |  1991  |  Physical Review A

CHEN INVERSION-FORMULA

BD HUGHES, NE FRANKEL, BW NINHAM

Journal article  |  1990  |  Physical Review A

DIFFUSION ON TWO-DIMENSIONAL RANDOM-WALKS

SS MANNA, AJ GUTTMANN, BD HUGHES

Journal article  |  1989  |  Physical Review A

SIMULATING FLOW IN POROUS-MEDIA

DYC CHAN, BD HUGHES, L PATERSON, C SIRAKOFF

Journal article  |  1988  |  Physical Review A

ION DIFFUSION IN A COULOMBIC FIELD

DYC CHAN, BD HUGHES

Journal article  |  1988  |  Journal of Statistical Physics

FLUID CAPACITY DISTRIBUTIONS OF RANDOM POROUS-MEDIA

DYC CHAN, BD HUGHES, L PATERSON

Journal article  |  1988  |  Transport in Porous Media

TUNABLE NOISE

DYC CHAN, BD HUGHES, L PATERSON

Journal article  |  1987  |  Nature

A PHYSICALLY CONSISTENT THEORY OF FRACTURE IN A BRITTLE SOLID

DYC CHAN, BD HUGHES, LR WHITE

Journal article  |  1987  |  Journal of Colloid and Interface Science

FLUCTUATIONS, VISCOUS FINGERING, AND DIFFUSION-LIMITED AGGREGATION

DYC CHAN, BD HUGHES, L PATERSON

Journal article  |  1986  |  Physical Review A

SHEAR-FLOW IN THE 2-BODY BOLTZMANN GAS .2. SMALL AND LARGE GAMMA-EXPANSION OF THE SHEAR VISCOSITY

GP MORRISS, DJ ISBISTER, BD HUGHES

Journal article  |  1986  |  Journal of Statistical Physics

ON RETURNS TO THE STARTING SITE IN LATTICE RANDOM-WALKS

BD HUGHES

Journal article  |  1986  |  Physica A: Statistical Mechanics and its Applications

DISPERSION IN FLOW THROUGH POROUS-MEDIA .1. ONE-PHASE FLOW

M SAHIMI, BD HUGHES, LE SCRIVEN, HT DAVIS

Journal article  |  1986  |  Chemical Engineering Science

ON THE GENERAL RANDOM-WALK FORMULATION FOR DIFFUSION IN MEDIA WITH MULTIPLE DIFFUSIVITIES

JM HILL, BD HUGHES

Journal article  |  1985  |  The Journal of the Australian Mathematical Society. Series B. Applied Mathematics

ON A RANDOM PROCESS INTERPOLATING BETWEEN MARKOVIAN AND NON-MARKOVIAN RANDOM-WALKS

DYC CHAN, BD HUGHES

Journal article  |  1984  |  Journal of Physics A: Mathematical and General

Transport and conduction in random systems

BD Hughes, M Sahimi, LE Scriven, HT Davis

Journal article  |  1984  |  International Journal of Engineering Science

ON THE POTENTIAL DUE TO A CIRCULAR PARALLEL PLATE CAPACITOR

BD HUGHES

Journal article  |  1984  |  Journal of Physics A: Mathematical and General

STATISTICAL MECHANICS OF EARLY GROWTH OF FATIGUE CRACKS.

WJ Pardee, WL Morris, BN Cox, BD Hughes

Conference Proceedings  |  1983

FRACTAL AND LACUNARY STOCHASTIC-PROCESSES

BD HUGHES, EW MONTROLL, MF SHLESINGER

Journal article  |  1983  |  Journal of Statistical Physics

STOCHASTIC TRANSPORT IN DISORDERED-SYSTEMS

M SAHIMI, BD HUGHES, LE SCRIVEN, HT DAVIS

Journal article  |  1983  |  The Journal of Chemical Physics

RANDOM-PROCESSES AND RANDOM-SYSTEMS - AN INTRODUCTION

BD HUGHES, S PRAGER

Book Chapter  |  1983  |  Lecture Notes in Mathematics

CRITICAL EXPONENT OF PERCOLATION CONDUCTIVITY BY FINITE-SIZE SCALING

M SAHIMI, BD HUGHES, LE SCRIVEN, HT DAVIS

Journal article  |  1983  |  Journal of Physics C: Solid State Physics

REAL-SPACE RENORMALIZATION AND EFFECTIVE-MEDIUM APPROXIMATION TO THE PERCOLATION CONDUCTION PROBLEM

M SAHIMI, BD HUGHES, LE SCRIVEN, HT DAVIS

Journal article  |  1983  |  Physical Review B

ON POLYA RANDOM-WALKS, LATTICE GREEN-FUNCTIONS, AND THE BOND PERCOLATION-THRESHOLD

M SAHIMI, BD HUGHES, LE SCRIVEN, HT DAVIS

Journal article  |  1983  |  Journal of Physics A: Mathematical and General

RANDOM-WALKS ON PSEUDO-LATTICES

BD HUGHES, M SAHIMI, HT DAVIS

Journal article  |  1983  |  Physica A: Statistical Mechanics and its Applications

RANDOM-WALKS ON THE BETHE LATTICE

BD HUGHES, M SAHIMI

Journal article  |  1982  |  Journal of Statistical Physics

FRACTAL RANDOM-WALKS

BD HUGHES, EW MONTROLL, MF SHLESINGER

Journal article  |  1982  |  Journal of Statistical Physics

EXTRACTION OF MEMBRANE MICRO-VISCOSITY FROM TRANSLATIONAL AND ROTATIONAL DIFFUSION-COEFFICIENTS

BD HUGHES, BA PAILTHORPE, LR WHITE, WH SAWYER

Journal article  |  1982  |  Biophysical Journal

We report the exact calculation of the Stokes drag for cylindrical particles diffusing in Saffman's model membrane. Simultaneous p..

LATTICE-DYNAMICS, RANDOM-WALKS, AND NON-INTEGRAL EFFECTIVE DIMENSIONALITY

BD HUGHES, MF SHLESINGER

Journal article  |  1982  |  Journal of Mathematical Physics

Dispersion in flow through porous media

M Sahimi, AA Heiba, BD Hughes, HT Davis, LE Scriven

Conference Proceedings  |  1982  |  Proceedings - SPE Annual Technical Conference and Exhibition

THE TRANSLATIONAL AND ROTATIONAL DRAG ON A CYLINDER MOVING IN A MEMBRANE

BD HUGHES, BA PAILTHORPE, LR WHITE

Journal article  |  1981  |  Journal of Fluid Mechanics

The translational and rotational drag coefficients for a cylinder undergoing uniform translational and rotational motion in a mode..

ANALOGS OF RENORMALIZATION-GROUP TRANSFORMATIONS IN RANDOM-PROCESSES

MF SHLESINGER, BD HUGHES

Journal article  |  1981  |  Physica A: Statistical Mechanics and its Applications

RANDOM-WALKS WITH SELF-SIMILAR CLUSTERS - (STOCHASTIC-PROCESSES STABLE DISTRIBUTIONS-FRACTALS-NONDIFFERENTIABLE FUNCTIONS)

BD HUGHES, MF SHLESINGER, EW MONTROLL

Journal article  |  1981  |  Proceedings of the National Academy of Sciences

IMPLICATIONS OF ELASTIC-DEFORMATION ON THE DIRECT MEASUREMENT OF SURFACE FORCES

BD HUGHES, LR WHITE

Journal article  |  1980  |  Journal of the Chemical Society, Faraday Transactions 1: Physical Chemistry in Condensed Phases

ANALYTIC APPROXIMATIONS FOR THE ELASTIC CONTACT OF ROUGH SPHERES

BD HUGHES, LR WHITE

Journal article  |  1980  |  Journal of Applied Mechanics

SOFT CONTACT PROBLEMS IN LINEAR ELASTICITY

BD HUGHES, LR WHITE

Journal article  |  1979  |  The Quarterly Journal of Mechanics and Applied Mathematics