Timothy J. Atherton

Learn More
This paper outlines an energy-minimization finite-element approach to the model-ing of equilibrium configurations for nematic liquid crystals in the presence of internal and external electric fields. The method targets minimization of free energy based on the electrically and flexoelec-trically augmented Frank–Oseen free energy models. The Hessian,(More)
This paper outlines an energy-minimization finite-element approach to the computational modeling of equilibrium configurations for nematic liquid crystals under free elastic effects. The method targets minimization of the system free energy based on the Frank-Oseen free-energy model. Solutions to the intermediate discretized free elastic linearizations are(More)
Patterned surfaces are of considerable interest for display applications as they permit the construction of bistable devices as well as anchoring energies that are adjustable by changing the design parameters. Here, the behavior of a nematic film confined between substrates periodically patterned with rectangles is examined analytically. It is shown that(More)
  • M J Zemerly, E Papaefstathiou, T J Atherton, D J Kerbyson, G R Nudd
  • 1993
We describe the characterisation of an application kernel on a parallel system of two processors. The application kernel is a one-dimensional Fast Fourier Transform (FFT) and the processors used are two T800 transputers. Analytical expressions for the \execution time" for a single and two processors are discussed and used to obtain the performance measure.
This paper outlines an energy-minimization finite-element approach to the computational modeling of equilibrium configurations for nematic liquid crystals under free elastic effects. The method targets minimization of the system free energy based on the Frank-Oseen free-energy model. Solutions to the intermediate discretized free elastic linearizations are(More)
Axonal growth and the formation of synaptic connections are key steps in the development of the nervous system. Here, we present experimental and theoretical results on axonal growth and interconnectivity in order to elucidate some of the basic rules that neuronal cells use for functional connections with one another. We demonstrate that a unidirectional(More)
Current understanding of neuronal growth is mostly qualitative, as the staggering number of physical and chemical guidance cues involved prohibit a fully quantitative description of axonal dynamics. We report on a general approach that describes axonal growth in vitro, on poly-D-lysine-coated glass substrates, as diffusion in an effective external(More)
BACKGROUND Bundling of neurite extensions occur during nerve development and regeneration. Understanding the factors that drive neurite bundling is important for designing biomaterials for nerve regeneration toward the innervation target and preventing nociceptive collateral sprouting. High-density neuron cultures including dorsal root ganglia explants are(More)
We show that patterned surfaces can promote bistable configurations of nematics for reasons other than the symmetry of the surface. Numerical and analytical calculations reveal that a nematic liquid crystal in contact with a striped surface is subject to the competing aligning influences of elastic anisotropy, differing energy cost of various types of(More)