All Outputs (43)

A theoretical model of inflammation- and mechanotransduction-driven asthmatic airway remodelling (2018)
Journal Article
Hill, M., Philp, C. J., Billington, C. K., Tatler, A. L., Johnson, S. R., O'Dea, R. D., & Brook, B. S. (2018). A theoretical model of inflammation- and mechanotransduction-driven asthmatic airway remodelling. Biomechanics and Modeling in Mechanobiology, 17(5), 1451-1470. https://doi.org/10.1007/s10237-018-1037-4

© 2018, The Author(s). Inflammation, airway hyper-responsiveness and airway remodelling are well-established hallmarks of asthma, but their inter-relationships remain elusive. In order to obtain a better understanding of their inter-dependence, we de... Read More about A theoretical model of inflammation- and mechanotransduction-driven asthmatic airway remodelling.

Effect of loading history on airway smooth muscle cell-matrix adhesions (2018)
Journal Article
Irons, L., Owen, M. R., O'Dea, R. D., & Brook, B. S. (2018). Effect of loading history on airway smooth muscle cell-matrix adhesions. Biophysical Journal, 114(11), 2679-2690. https://doi.org/10.1016/j.bpj.2018.04.026

Integrin-mediated adhesions between airway smooth muscle (ASM) cells and the extracellular matrix (ECM) regulate how contractile forces generated within the cell are transmitted to its external environment. Environmental cues are known to influence t... Read More about Effect of loading history on airway smooth muscle cell-matrix adhesions.

A multiphase multiscale model for nutrient limited tissue growth (2018)
Journal Article
Holden, E., Collis, J., Brook, B. S., & O'Dea, R. D. (2018). A multiphase multiscale model for nutrient limited tissue growth. ANZIAM Journal, 59(4), https://doi.org/10.1017/S1446181118000044

In this work, an effective macroscale description is derived for the growth of tissue on a porous scaffold. A multiphase model is employed to describe the tissue dynamics; linearisation to facilitate a multiple-scale homogenisation provides an effect... Read More about A multiphase multiscale model for nutrient limited tissue growth.

A multiphase multiscale model for nutrient limited tissue growth (2017)
Journal Article
Holden, E. C., Collis, J., Brook, B. S., & O'Dea, R. D. (2017). A multiphase multiscale model for nutrient limited tissue growth. ANZIAM Journal, 59, 499-532. https://doi.org/10.21914/anziamj.v59i0.12240

We derive an effective macroscale description for the growth of tissue on a porous scaffold. A multiphase model is employed to describe the tissue dynamics; linearisation to facilitate a multiple-scale homogenisation provides an effective macroscale... Read More about A multiphase multiscale model for nutrient limited tissue growth.

Comparing multilayer brain networks between groups: Introducing graph metrics and recommendations (2017)
Journal Article
Mandke, K., Meier, J., Brookes, M. J., O'Dea, R. D., Van Mieghem, P., Stam, C. J., …Tewarie, P. K. (2018). Comparing multilayer brain networks between groups: Introducing graph metrics and recommendations. NeuroImage, 166, https://doi.org/10.1016/j.neuroimage.2017.11.016

There is an increasing awareness of the advantages of multi-modal neuroimaging. Networks obtained from different modalities are usually treated in isolation, which is however contradictory to accumulating evidence that these networks show non-trivial... Read More about Comparing multilayer brain networks between groups: Introducing graph metrics and recommendations.

An analysis of waves underlying grid cell firing in the medial enthorinal cortex (2017)
Journal Article
Bonilla-Quintana, M., Wedgwood, K. C., O'Dea, R. D., & Coombes, S. (in press). An analysis of waves underlying grid cell firing in the medial enthorinal cortex. Journal of Mathematical Neuroscience, 7(9), https://doi.org/10.1186/s13408-017-0051-7

Layer II stellate cells in the medial enthorinal cortex (MEC) express hyperpolarisation-activated cyclic-nucleotide-gated (HCN) channels that allow for rebound spiking via an I_h current in response to hyperpolarising synaptic input. A computational... Read More about An analysis of waves underlying grid cell firing in the medial enthorinal cortex.

Effective equations governing an active poroelastic medium (2017)
Journal Article
Collis, J., Brown, D., Hubbard, M. E., & O'Dea, R. D. (2017). Effective equations governing an active poroelastic medium. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473(2198), https://doi.org/10.1098/rspa.2016.0755

In this work we consider the spatial homogenization of a coupled transport and fluid-structure interaction model, to the end of deriving a system of effective equations describing the flow, elastic deformation, and transport in an active poroelastic... Read More about Effective equations governing an active poroelastic medium.

Microstructural Influences on Growth and Transport in Biological Tissue-A Multiscale Description (2017)
Book Chapter
Irons, L., Collis, J., & O'Dea, R. D. (2017). Microstructural Influences on Growth and Transport in Biological Tissue-A Multiscale Description. In S. M. Becker (Ed.), Modeling of microscale transport in biological processes (311-334). Academic Press. https://doi.org/10.1016/B978-0-12-804595-4.00012-2

The detailed understanding of growth and transport dynamics within biological tissue is made particularly challenging by the complex and multiscale nature of this medium. For this reason so-called effective descriptions are frequently sought. These o... Read More about Microstructural Influences on Growth and Transport in Biological Tissue-A Multiscale Description.

Structure-function clustering in multiplex brain networks (2016)
Journal Article
Crofts, J. J., Forrester, M., & O'Dea, R. D. (2016). Structure-function clustering in multiplex brain networks. EPL, 116(1), Article 18003. https://doi.org/10.1209/0295-5075/116/18003

A key question in neuroscience is to understand how a rich functional repertoire of brain activity arises within relatively static networks of structurally connected neural populations: elucidating the subtle interactions between evoked "functional c... Read More about Structure-function clustering in multiplex brain networks.

A multiscale analysis of drug transport and response for a multiphase tumor model (2016)
Journal Article
Collis, J., Hubbard, M. E., & O'Dea, R. D. (in press). A multiscale analysis of drug transport and response for a multiphase tumor model. European Journal of Applied Mathematics, https://doi.org/10.1017/S0956792516000413

In this article we consider the spatial homogenization of a multi- phase model for avascular tumour growth and response to chemother- apeutic treatment. The key contribution of this work is the derivation of a system of homogenized partial differenti... Read More about A multiscale analysis of drug transport and response for a multiphase tumor model.

Price of anarchy on heterogeneous traffic-flow networks (2016)
Journal Article
Rose, A. M., O'Dea, R. D., & Hopcraft, K. I. (2016). Price of anarchy on heterogeneous traffic-flow networks. Physical Review E, 94(3), Article 032315. https://doi.org/10.1103/PhysRevE.94.032315

The efficiency of routing traffic through a network, comprising nodes connected by links whose cost of traversal is either fixed or varies in proportion to volume of usage, can be measured by the `price of anarchy'. This is the ratio of the cost incu... Read More about Price of anarchy on heterogeneous traffic-flow networks.

Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth (2016)
Journal Article
Collis, J., Hubbard, M. E., & O'Dea, R. D. (2016). Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth. Computer Methods in Applied Mechanics and Engineering, 309, https://doi.org/10.1016/j.cma.2016.06.015

In this work we consider the discretization of a recently formulated (Collis et al., [22]) multiscale model for drug- and nutrient-limited tumour growth. The key contribution of this work is the proposal of a discontinuous Galerkin finite element sch... Read More about Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth.

Pushed and pulled fronts in a discrete reaction-diffusion equation (2015)
Journal Article
King, J. R., & O'Dea, R. D. (2015). Pushed and pulled fronts in a discrete reaction-diffusion equation. Journal of Engineering Mathematics, https://doi.org/10.1007/s10665-015-9829-3

We consider the propagation of wave fronts connecting unstable and stable uniform solutions to a discrete reaction-diffusion equation on a one-dimensional integer lattice. The dependence of the wavespeed on the coupling strength µ between lattice poi... Read More about Pushed and pulled fronts in a discrete reaction-diffusion equation.

A geometric network model of intrinsic grey-matter connectivity of the human brain (2015)
Journal Article
Lo, Y., O'Dea, R. D., Crofts, J. J., Han, C. E., & Kaiser, M. (2015). A geometric network model of intrinsic grey-matter connectivity of the human brain. Scientific Reports, 5, Article e15397. https://doi.org/10.1038/srep15397

Network science provides a general framework for analysing the large-scale brain networks that naturally arise from modern neuroimaging studies, and a key goal in theoretical neuroscience is to understand the extent to which these neural architecture... Read More about A geometric network model of intrinsic grey-matter connectivity of the human brain.

A multiscale analysis of nutrient transport and biological tissue growth in vitro (2014)
Journal Article
O'Dea, R. D., Nelson, M. R., El Haj, A., Waters, S. L., & Byrne, H. M. (2014). A multiscale analysis of nutrient transport and biological tissue growth in vitro. Mathematical Medicine and Biology, https://doi.org/10.1093/imammb/dqu015

In this paper, we consider the derivation of macroscopic equations appropriate to describe the growth of biological tissue, employing a multiple-scale homogenisation method to accommodate explicitly the influence of the underlying microscale structur... Read More about A multiscale analysis of nutrient transport and biological tissue growth in vitro.

The interplay between tissue growth and scaffold degradation in engineered tissue constructs (2013)
Journal Article
O'Dea, R. D., Osborne, J., El Haj, A., Byrne, H., & Waters, S. (2013). The interplay between tissue growth and scaffold degradation in engineered tissue constructs. Journal of Mathematical Biology, 67(5), https://doi.org/10.1007/s00285-012-0587-9

In vitro tissue engineering is emerging as a potential tool to meet the high demand for replacement tissue, caused by the increased incidence of tissue degeneration and damage. A key challenge in this field is ensuring that the mechanical properties... Read More about The interplay between tissue growth and scaffold degradation in engineered tissue constructs.

Spreading dynamics on spatially constrained complex brain networks (2013)
Journal Article
O'Dea, R. D., Crofts, J. J., & Kaiser, M. (2013). Spreading dynamics on spatially constrained complex brain networks. Interface, 10(81), https://doi.org/10.1098/%E2%80%8Brsif.2013.0016

The study of dynamical systems defined on complex networks provides a natural framework with which to investigate myriad features of neural dynamics, and has been widely undertaken. Typically, however, networks employed in theoretical studies bear... Read More about Spreading dynamics on spatially constrained complex brain networks.

Continuum limits of pattern formation in hexagonal-cell monolayers (2012)
Journal Article
O'Dea, R. D., & King, J. R. (2012). Continuum limits of pattern formation in hexagonal-cell monolayers. Journal of Mathematical Biology, 64(3), https://doi.org/10.1007/s00285-011-0427-3

Intercellular signalling is key in determining cell fate. In closely packed tissues such as epithelia, juxtacrine signalling is thought to be a mechanism for the generation of fine-grained spatial patterns in cell differentiation commonly observed in... Read More about Continuum limits of pattern formation in hexagonal-cell monolayers.

The isolation of spatial patterning modes in a mathematical model of juxtacrine cell signalling (2011)
Journal Article
O'Dea, R. D., & King, J. R. (2013). The isolation of spatial patterning modes in a mathematical model of juxtacrine cell signalling. Mathematical Medicine and Biology, 30(2), https://doi.org/10.1093/imammb/dqr028

Juxtacrine signalling mechanisms are known to be crucial in tissue and organ development, leading to spatial patterns in gene expression. We investigate the patterning behaviour of a discrete model of juxtacrine cell signalling due to Owen \& Sherrat... Read More about The isolation of spatial patterning modes in a mathematical model of juxtacrine cell signalling.

Multiscale analysis of pattern formation via intercellular signalling (2011)
Journal Article
O'Dea, R. D., & King, J. R. (2011). Multiscale analysis of pattern formation via intercellular signalling. Mathematical Biosciences, 231(2), https://doi.org/10.1016/j.mbs.2011.03.003

Lateral inhibition, a juxtacrine signalling mechanism by which a cell adopting a particular fate inhibits neighbouring cells from doing likewise, has been shown to be a robust mechanism for the formation of fine-grained spatial patterns (in which adj... Read More about Multiscale analysis of pattern formation via intercellular signalling.