Systems-level modelling of hepatitis C virus infection and treatment response

13 September 2018 3:00pm4:00pm
Pranesh Padmanabhan (The University of Queensland, Queensland Brain Institute)

OP to ATAR

12 September 2018 1:00pm2:00pm
Vivian Lui (Maths)

Understanding the amount and distribution of fish in the ocean using size spectrum models

11 September 2018 11:00am12:00pm
Anthony J. Richardson (School of Mathematics and Physics, The University of Queensland)

Hyperplane arrangements associated to symplectic quotient singularities

28 August 2018 3:00pm4:00pm
Ulrich Thiel, University of Sydney

Computational methods for global dynamics

27 August 2018 2:00pm3:00pm
Oliver Junge (Technical University Munich)

UQ2U MATH1051 BLP (Blended Learning Project)

22 August 2018 1:00pm2:00pm
Associate Professor Tony Roberts, Mr Juan Ponce Campuzano & Dr Poh Wah Hillock (Mathematics)

Analysis, Simulation, and Optimization of Stochastic Vesicle Dynamics in Synaptic Transmission

16 August 2018 3:00pm4:00pm
Calvin Zhang, Assistant Professor of Mathematics, Assistant Professor of Neuroscience, (University of Arizona)

The Combinatorics of Alternating Sign Matrices

14 August 2018 3:00pm4:00pm
Roger Behrend, Cardiff University

The topology and geometry of spaces of Yang-Mills-Higgs flow lines.

31 July 2018 3:00pm4:00pm
Graeme Wilkin, National University of Singapore

Mathematics of Swimming: Why do the Limbs of Krill Move like a Wave?

30 July 2018 2:00pm
Calvin Zhang (University of Arizona)

Approximate curvatures of generalized surfaces

24 July 2018 3:00pm4:00pm
Gian Paolo Leonardi (Università di Modena e Reggio Emilia)

Using Stein’s Equation in Simulation

23 July 2018 2:00pm
Sheldon Ross (University of Southern California)

Discrete and continuum modelling of biological network formation. Speaker: Jan Haskovec (KAUST: King Abdullah University of Science an Technology)

17 July 2018 10:30am11:30am
Motivated by recent papers describing rules for natural network formation in discrete settings, we propose an elliptic-parabolic system of partial differential equations. The model describes the pressure field due to Darcy’s type equation and the dynamics of the conductance network under pressure force effects with a diffusion rate representing randomness in the material structure. After a short overview of the principles of discrete network modelling, we show how to derive the corresponding macroscopic (continuum) description. The highly unusual structure of the resulting PDE system induces several interesting challenges for its mathematical analysis. We give a short overview of the tools and tricks that can be used to overcome them. In particular, we present results regarding the existence of weak solutions of the system, based on recent results on elliptic regularity theory. Moreover, we study the structure and stability properties of steady states that play a central role to understand the pattern capacity of the system. We present results of systematic numerical simulations of the system that provide further insights into the properties of the network-type solutions.

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