# Applied Mathematics

## About

The Applied Mathematics Group has broad interests across the fields of colloid science, medicine, chemical engineering and materials processing. We often work on problems regarding the transport of materials, cells or molecules. Many of these problems arise from interaction with experimentalists, engineers, and industry partners, such as found in the Particulate Fluids Processing Centre, a Special Research Centre funded by the Australian Research Council, 2001-2005, or Royal Childrens Hospital. We develop discrete and continuum models to help understand these systems and generate and test new hypotheses. Particular strengths are in the mechanics of granular media , contact mechanics of deformable interfaces such as drops, the modelling of moving fronts of cells, random walks in random environments, and the mechanics of the atomic force microscope.

## Seminar series

Mathematical and Computational Biology

## Academic Staff

**Dr Douglas BRUMLEY** (Lecturer)

**Prof Edmund CRAMPIN** (Professor)

Research interests: *Mathematical Biology, Systems Biology, Mathematical Physiology*

**Dr Jennifer FLEGG** (Senior Lecturer)

**Prof Geoffrey GRIMMETT** (Professor)

**Dr Hailong GUO** (Lecturer)

Research interests: *Numerical Analysis and Scientific Computing*

**Prof Barry HUGHES** (Professor)

Research interests: *Applied Mathematical Methods, Probability Modelling, Mathematical Biology, Continuum Modelling, Random Walks, Random Environments*

**Prof James MCCAW** (Professor)

**Dr James OSBORNE** (Senior Lecturer)

**Prof John SADER** (Professor)

Research interests: *Plasticity and elasticity, Dynamic force spectroscopy, Nanocrystal mechanics, Atomic Force Microscopy, Continuum Modelling, Colloidal interactions*

**Prof Kate SMITH-MILES** (Professor)

Research interests: *Combinatorial optimisation, Continuous optimisation , Multi-objective optimisation, Performance evaluation, Generation of hard test instances, Mathematical modelling, Parameter estimation, Dimensional reduction, Numerical linear algebra, Machine Learning*

**Prof Antoinette TORDESILLAS** (Professor)

Research interests: *Homogenization Theory, Interfacial Continuum Mechanics, Mechanics of Complex Systems, Mechanics of Granular Media*

## Research Fellows

**Dr Pengxing CAO** (Research Fellow)

**Dr Roslyn HICKSON** (Research Fellow)

## Honorary Staff

**A/Prof Steven CARNIE**

Fellow (Associate)
**Professor Derek CHAN**

Emeritus Professor (Associate)
**Professor Kerry LANDMAN**

Professorial Fellow (Associate)

## Postgraduate Students

ALAHAKOON Punya

ALIPOUR Hossein

BHUVA Dharmesh Dinesh

BOWLY Simon – ‘' Generating new test instances for mixed-integer programming'’

CRAWSHAW Jessica

ERANDI Achini

GERMANO Domenic

HUNT Hilary

JOHNSON Joesph

KAHAGALAGE Sanath – ‘An Optimal Control approach to medlling propulsion dynamics in fully submerged granular media environments’

KANDHARI Nitika

KATIAL Vivek

LEUNG Tiffany (Ngo Nam) – ‘Dynamical properties of disease transmission models with seasonal forcing, immune boosting and vaccination’

MADERAZO Dominic

MILLER Claire

PUCILOWSKI Sebastian – ‘Modelling confined comminution processes in mineral exploration’

ROMIJN Lotte

SAHANI Sontosh Kumar

SHEN Naijian (Eric)

ZANCA Adriana

ZAREBSKI Alexander – ‘Influenza modelling with applications in forecasting.’

## Masters (RT) Students

ANBUMURALI Nithila

BISWAS Madhurima

LI Fan

LI Peijing

MAHARAJ Steven

MCCULLOUGH Rachael

MPEHLE Khaya

NUNN Alexander

SINGH Kushwant

STRINGER Andrew

WALSH Thomas

ZHUANG Qi