Building macroscale models from microscale probabilistic models
Grant number: DP140100339 | Funding period: 2014 - 2019
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..
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
We consider a phenotype-structured model of evolutionary dynamics in a population of cancer cells exposed to the action of a cytot..
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
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
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
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
An enduring puzzle in evolutionary biology is to understand how individuals and populations adapt to fluctuating environments. Her..
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
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
The characteristic six-layered appearance of the neocortex arises from the correct positioning of pyramidal neurons during develop..