Junior Applied Mathematics Seminar

Tue, 19/10/2010
13:15
Guido Klingbeil (Centre for Mathematical Biology) Junior Applied Mathematics Seminar Add to calendar DH 1st floor SR
We explore two different threading approaches on a graphics processing unit (GPU) exploiting two different characteristics of the current GPU architecture. The fat thread approach tries to minimise data access time by relying on shared memory and registers potentially sacrificing parallelism. The thin thread approach maximises parallelism and tries to hide access latencies. We apply these two approaches to the parallel stochastic simulation of chemical reaction systems using the stochastic simulation algorithm (SSA) by Gillespie. In these cases, the proposed thin thread approach shows comparable performance while eliminating the limitation of the reaction system's size.Link to paper:  http://people.maths.ox.ac.uk/erban/papers/paperCUDA.pdf
Tue, 02/11/2010
13:15
Athanasios Tsanas (OCIAM and SAMP) Junior Applied Mathematics Seminar Add to calendar Gibson Grd floor SR
This work demonstrates how we can extract clinically useful patternsextracted from time series data (speech signals) using nonlinear signal processing and how to exploit those patterns using robust statistical machine learning tools, in order to estimate remotely and accurately average Parkinson's disease symptom severity.   
Tue, 16/11/2010
13:15
Chris Lustri (OCIAM) Junior Applied Mathematics Seminar Add to calendar DH 1st floor SR
We investigate the behaviour of free-surface waves on time-varying potential flow in the limit as the Froude number becomes small. These waves are exponentially small in the Froude number, and are therefore inaccessible to ordinary asymptotic methods. As such, we demonstrate how exponential asymptotic techniques may be applied to the complexified free surface in order to extract information about the wave behaviour on the free surface, using a Lagrangian form of the potential flow equations. We consider the specific case of time-varying flow over a step, and demonstrate that the results are consistent with the steady state case.
Tue, 30/11/2010
13:15
Almut Eisentrager (Numerical Analysis Group) Junior Applied Mathematics Seminar Add to calendar Gibson Grd floor SR
In a healthy human brain, cerebrospinal fluid (CSF), a water-like liquid, fills a system of cavities, known as ventricles, inside the brain and also surrounds the brain and spinal cord. Abnormalities in CSF dynamics, such as hydrocephalus, are not uncommon and can be fatal for the patient. We will consider two types of models for the so-called infusion test, during which additional fluid is injected into the CSF space at a constant rate, while measuring the pressure continuously, to get an insight into the CSF dynamics of that patient.   In compartment type models, all fluids are lumped into compartments, whose pressure and volume interactions can be modelled with compliances and resistances, equivalent to electric circuits. Since these models have no spatial variation, thus cannot give information such as stresses in the brain tissue, we also consider a model based on the theory of poroelasticity, but including strain-dependent permeability and arterial blood as a second fluid interacting with the CSF only through the porous elastic solid.
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