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Diffusion tensor imaging with deterministic error bounds
(SpringerJournal of Mathematical Imaging and Vision, 2016)
Errors in the data and the forward operator of an inverse problem can be handily modelled using partial order in Banach lattices. We present some existing results of the theory of regularisation in this novel framework, ...
Nonlinear hydrodynamical evolution of eccentric Keplerian discs in two dimensions: validation of secular theory
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2016-03-11)
We perform global two-dimensional hydrodynamical simulations of Keplerian discs with free eccentricity over thousands of orbital periods. Our aim is to determine the validity of secular theory in describing the evolution ...
Standard model physics from an algebra?
(2015)
This thesis constitutes a first attempt to derive aspects of standard model particle physics from little more than an algebra. Here, we argue that physical concepts such as particles, causality, and irreversible time may ...
Characterization of Early Cortical Neural Network Development in Multiwell Microelectrode Array Plates
(SAGE PublicationsJournal of Biomolecular Screening, 2016-03-29)
We examined neural network ontogeny using microelectrode array (MEA) recordings made in multiwell MEA (mwMEA) plates over the first 12 days in vitro (DIV). In primary cortical cultures, action potential spiking activity ...
Obstructed and channelized viscoplastic flow in a Hele-Shaw cell
(Cambridge University PressJournal of Fluid Mechanics, 2016-02-02)
A theoretical study is presented of the flow of viscoplastic fluid through a Hele-Shaw cell that contains various kinds of obstructions. Circular and elliptical blockages of the cell are considered together with stepwise ...
Flow-induced compaction of a deformable porous medium
(American Physical SocietyPhysical Review E, 2016-02-24)
Fluid flowing through a deformable porous medium imparts viscous drag on the solid matrix, causing it to deform. This effect is investigated theoretically and experimentally in a one-dimensional configuration. The experiments ...
Bacterial Hydrodynamics
(Annual ReviewsAnnual Review of Fluid Mechanics, 2016)
Bacteria predate plants and animals by billions of years. Today, they are the
world’s smallest cells, yet they represent the bulk of the world’s biomass
and the main reservoir of nutrients for higher organisms. Most bacteria ...
Generations: three prints, in colour
(SpringerJournal of High Energy Physics, 2014-10-07)
We point out a somewhat mysterious appearance of SUc(3) representations, which exhibit the behaviour of three full generations of standard model particles. These representations are found in the Clifford algebra ℂl(6), ...
Twisting algebraically special solutions in five dimensions
(Institute of PhysicsClassical and Quantum Gravity, 2016)
We determine the general form of the solutions of the five-dimensional vacuum Einstein equations with cosmological constant for which (i) the Weyl tensor is everywhere type II or more special in the null alignment ...
Charge quantization from a number operator
(ElsevierPhysics Letters B, 2015-01-26)
We explain how an unexpected algebraic structure, the division algebras, can be seen to underlie a generation of quarks and leptons. From this new vantage point, electrons and quarks are simply excitations from the neutrino, ...