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.

SCIE1000 - Theory and Practice in Science

21 June 2018 11:00am
Associate Professor Tim McIntyre and Dr Sara Herke (The University of Queensland)

A group-theoretic viewpoint on Falconer type theorems

19 June 2018 3:00pm4:00pm
Eyvindur Ari Palsson (Virgina tech)

The dynamics of malaria infection: A modelling perspective

18 June 2018 2:00pm3:00pm
Dr Lauren Childs (Virginia Tech)

Optimization formulations of data analysis problems

13 June 2018 10:00am11:00am
Stephen Wright (University of Wisconsin-Madison)

Dynamics of illegal harvest: how to protect natural resources from criminal behaviour

12 June 2018 11:00am12:00pm
Dr Matthew Holden (School of Mathematics and Physics, The University of Queensland)

Hitchin Systems in Mathematics and Beyond

11 June 2018 2:00pm3:00pm
Steven Rayan (University of Saskatchewan)

An entropy-based measure for comparing distributions

11 June 2018 11:00am12:00pm
Rajeev Rajaram (Kent State University, Ohio)

Mathematics for Data Science 1

5 June 2018 11:00am12:00pm
Dr Yoni Nazarathy (The University of Queensland)