Ingkarni Wardli B17

Professor Mat Simpson, Queensland University of Technology

Abstract:

Scald burns from accidental exposure to hot liquids are the most common cause of burn injury in children. Over 2000 children are treated for accidental burn injuries in Australia each year. Despite the frequency of these injuries, basic questions about the physics of heat transfer in living tissues remain unanswered. For example, skin thickness varies with age and anatomical location, yet our understanding of how tissue damage from thermal injury is influenced by skin thickness is surprisingly limited. In this presentation we will consider a series of porcine experiments to study heat transfer in living tissues. We consider burning the living tissue, as well as applying various first aid treatment strategies to cool the living tissue after injury. By calibrating solutions of simple mathematical models to match the experimental data we provide insight into how thermal energy propagates through living tissues, as well as exploring different first aid strategies. We conclude by outlining some of our current work that aims to produce more realistic mathematical models.

Mathematics is Biology’s Next Microscope (Only Better!)

Abstract: While mathematics has long been considered “an essential tool for physics”, the foundations of biology and the life sciences have received significantly less influence from mathematical ideas and theory. In this talk, I will give a brief discussion of my recent research on robustness in molecular signalling networks, as an example of a complex biological question that calls for a mathematical answer. In particular, it has been a long-standing mystery how the extraordinarily complex communication networks inside living cells, comprising thousands of different interacting molecules, are able to function robustly since complexity is generally associated with fragility. Mathematics has now suggested a resolution to this paradox through the discovery that robust adaptive signalling networks must be constructed from a just small number of well-defined universal modules (or “motifs”), connected together. The existence of these newly-discovered modules has important implications for evolutionary biology, embryology and development, cancer research, and drug development.

]]>If you would like to attend, could you please email joshua.ross@adelaide.edu.au by Friday 18th August, providing the following:

i) an up-to-date copy of your academic transcript;

ii) an up-to-date copy of your CV;

iii) an indication of the areas of research within our School that you are interested in pursuing in your PhD and a brief paragraph explaining why, and ideally the name(s) of at least one staff member you have identified as potentially a suitable supervisor; and,

iv) indication of whether you wish to be considered for a travel support package (please see below), and whether your attendance is conditional on receipt of such support.

A limited number of travel support packages are available on a competitive basis for Australian and New Zealand Citizens and Permanent Residents of Australia. The support consists of return economy airfares, airport transfers in Adelaide, 2 nights accommodation, and meals whilst in Adelaide. Preference will be given to those students that are likely to attain a PhD scholarship and whose interests align closely with staff in the School of Mathematical Sciences at the University of Adelaide, along with consideration to representation of the School’s research interests.

]]>Abstract: In recent years, there has been much interest in the relevance of nonlinear solutions of the Navier-Stokes equations to fully turbulent flows. The solutions must be calculated numerically at moderate Reynolds numbers but in the limit of high Reynolds numbers asymptotic methods can be used to greatly simplify the computational task and to uncover the key physical processes sustaining the nonlinear states. In particular, in confined flows exact coherent structures defining the boundary between the laminar and turbulent attractors can be constructed. In addition, structures which capture the essential physical properties of fully turbulent flows can be found. The extension of the ideas to boundary layer flows and current work attempting to explain the law of the wall will be discussed.

]]>To find out more visit:

http://www.arc.gov.au/2017-laureate-profile-professor-mathai-varghese

]]>Barry Cox 22nd May

]]>Abstract…

The Hodge theorem on a closed Riemannian manifold identifies the deRham cohomology with the space of harmonic differential forms. Although there are various extensions of the Hodge theorem to singular or complete but non-compact spaces, when there is an identification of L^2 Harmonic forms with a topological feature of the underlying space, it is highly dependent on the nature of infinity (in the non-compact case) or the locus of incompleteness; no unifying theorem treats all cases. We will discuss work toward extending the Hodge theorem to singular Riemannian manifolds where the singular locus is an incomplete cusp edge. These can be pictured locally as a bundle of horns, and they provide a model for the behavior of the Weil-Petersson metric on the compactified Riemann moduli space near the interior of a divisor. Joint with J. Swoboda and R. Melrose.

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