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All Outputs (6)

Network mechanisms underlying the role of oscillations in cognitive tasks (2018)
Journal Article
Schmidt, H., Avitabile, D., Montbrió, E., & Roxin, A. (2018). Network mechanisms underlying the role of oscillations in cognitive tasks. PLoS Computational Biology, 14(9), 1-24. https://doi.org/10.1371/journal.pcbi.1006430

Oscillatory activity robustly correlates with task demands during many cognitive tasks. However, not only are the network mechanisms underlying the generation of these rhythms poorly understood, but it is also still unknown to what extent they may pl... Read More about Network mechanisms underlying the role of oscillations in cognitive tasks.

Modal nudging in nonlinear elasticity: tailoring the elastic post-buckling behaviour of engineering structures (2018)
Journal Article
Cox, B., Groh, R., Avitabile, D., & Pirrera, A. (2018). Modal nudging in nonlinear elasticity: tailoring the elastic post-buckling behaviour of engineering structures. Journal of the Mechanics and Physics of Solids, 116, https://doi.org/10.1016/j.jmps.2018.03.025

The buckling and post-buckling behaviour of slender structures is increasingly being harnessed for smart functionalities. Equally, the post-buckling regime of many traditional engineering structures is not being used for design and may therefore harb... Read More about Modal nudging in nonlinear elasticity: tailoring the elastic post-buckling behaviour of engineering structures.

Neural Fields: Localised States with Piece-Wise Constant Interactions (2018)
Book Chapter
Gökçe, A., Coombes, S., & Avitabile, D. (2018). Neural Fields: Localised States with Piece-Wise Constant Interactions. In Mathematical and Theoretical Neuroscience: Cell, Network and Data Analysis (111-121). Cham, Switzerland: Springer Nature. https://doi.org/10.1007/978-3-319-68297-6_7

Neural field models are typically cast as continuum integro-differential equations for describing the idealised coarse-grained activity of populations of interacting neurons. For smooth Mexican hat kernels, with short-range excitation and long-range... Read More about Neural Fields: Localised States with Piece-Wise Constant Interactions.

Capturing the dynamics of a hybrid multiscale cancer model with a continuum model (2018)
Journal Article
Joshi, T. V., Avitabile, D., & Owen, M. R. (2018). Capturing the dynamics of a hybrid multiscale cancer model with a continuum model. Bulletin of Mathematical Biology, 80(6), 1435–1475. https://doi.org/10.1007/s11538-018-0406-6

Cancer is a complex disease involving processes at spatial scales from sub-cellular, like cell signalling, to tissue scale, such as vascular network formation. A number of multiscale models have been developed to study the dynamics that emerge from t... Read More about Capturing the dynamics of a hybrid multiscale cancer model with a continuum model.

Exploring the design space of nonlinear shallow arches with generalised path-following (2018)
Journal Article
Cox, B. S., Groh, R. M., Avitabile, D., & Pirrera, A. (2018). Exploring the design space of nonlinear shallow arches with generalised path-following. Finite Elements in Analysis and Design, 143, https://doi.org/10.1016/j.finel.2018.01.004

The classic snap-through problem of shallow arches is revisited using the so-called generalised path-following technique. Classical buckling theory is a popular tool for designing structures prone to instabilities, albeit with limited applicability a... Read More about Exploring the design space of nonlinear shallow arches with generalised path-following.

Spot dynamics in a reaction-diffusion model of plant root hair initiation (2018)
Journal Article
Avitabile, D., Brena-Medina, V. F., & Ward, M. J. (2018). Spot dynamics in a reaction-diffusion model of plant root hair initiation. SIAM Journal on Applied Mathematics, 78(1), https://doi.org/10.1137/17M1120932

We study pattern formation in a 2-D reaction-diffusion (RD) sub-cellular model characterizing the effect of a spatial gradient of a plant hormone distribution on a family of G-proteins associated with root-hair (RH) initiation in the plant cell Arabi... Read More about Spot dynamics in a reaction-diffusion model of plant root hair initiation.