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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.