Building macroscale models from microscale probabilistic models

Grant number: DP140100339 | Funding period: 2014 - 2019

Completed

Abstract

Spatial patterns arise in biological and physical processes. Understanding how local individual-based functions, such as movement and interactions between individuals, give rise to global spatial distributions and patterns in populations of individuals is generating much interest. Probabilistic agent-based models provide information about the movement of individuals, whereas continuum models provide information about the global properties, such as spread of populations. This project will provide tools for determining the connection between the two types of models, thereby linking the behaviour on microscopic and macroscopic scales.

Related publications (14)

The dynamics of oligodendrocyte generation: how distinct is the mouse from the human?

David G Gonsalvez, Georgina A Craig, Darragh M Walsh, Barry D Hughes, Rhiannon J Wood, Sang Won Yoo, Simon S Murray, Junhua Xiao

<jats:p>Murine oligodendrocyte generation dynamics are considered distinct from those in the human, with implications for cross-sp..

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

Klemens Fellner, Barry D Hughes

2020-05-30

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

2019-10-30

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

2019-07-04

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

Watching the Internal Clock of Cells while They Move and Divide

Barry D Hughes

2018-03-13

Distinguishing cell shoving mechanisms

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

2018-03-12

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

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

Darragh M Walsh, Kerry A Landman, Barry D Hughes

2017-09-29

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

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

2016-11-09

The cellular mechanisms that regulate the topographic arrangement of myelin internodes along axons remain largely uncharacterized...

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

2016-10-07

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

2016-08-01

Epigenetic mechanisms are increasingly recognised as integral to the adaptation of species that face environmental changes. In par..

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

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

2015-12-07

An enduring puzzle in evolutionary biology is to understand how individuals and populations adapt to fluctuating environments. Her..

When push comes to shove: Exclusion processes with nonlocal consequences

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

2015-11-01

Abstract Stochastic agent-based models are useful for modelling collective movement of biological cells. Lattice-based random walk..

Spatial and temporal dynamics of cell generations within an invasion wave: A link to cell lineage tracing

Bevan L Cheeseman, Donald F Newgreen, Kerry A Landman

2014-12-21

Mathematical models of a cell invasion wave have included both continuum partial differential equation (PDE) approaches and discre..

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

2014-10-21

The characteristic six-layered appearance of the neocortex arises from the correct positioning of pyramidal neurons during develop..

University of Melbourne Researchers

Barry Hughes

Kerry Landman