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Dr Federico Frascoli

Senior Lecturer in Applied Mathematics


I am interested in systems out of equilibrium, in a variety of (apparently) different contexts. From cellular motility to nano-confined fluids, from immune-cancer dynamics to brain oscillations, I am fascinated by the patterns and strategies that Nature creates far from equilibrium. Questions that arise in these situations embrace a number of different areas of applied mathematics and mathematical physics, ranging from statistical mechanics, non equilibrium thermodynamics and classical molecular dynamics to dynamical systems, bifurcation theory, PDEs, ODEs and agent-based modeling techniques.

Qualifications and previous appointments:
Laurea in Theoretical Physics (U. Parma, Italy), 2001
PhD in Theoretical Physics (SUT), 2007
Postdoctoral Fellow in Computational Neuroscience (Brain Sciences Institute, Melbourne), 2007-2011
Postdoctoral Researcher in Mathematical Biology (Dept. of Mathematics, Uni of Melbourne), 2011-2013. 
Lecturer in Applied Mathematics, (SUT) 2013-2015

Research interests

Dynamical systems; Mathematical biology; Statistical Mechanics

PhD candidate and honours supervision

Higher degrees by research

Accredited to supervise Masters & Doctoral students as Principal Coordinating Supervisor.

PhD topics and outlines

Anomalous transport phenomena and separation in fluids: Transport properties of fluids under confinement can show a vast range of variability and interesting features. In particular, nano-channels and nano-pores with different geometries and of different materials can greatly influence the overall behaviour of diffusivity for atomic and molecular species. We are interested in understanding how confinement affect the motility of different species.  

Collective properties of biological cells: Cell migration is a fundamental phenomenon throughout all the stages of animal life, from its commencement to its end. Cells may move as individuals, in several distinct ways, or may move collectively as chains, clusters or sheets. A variety of complex mechanisms govern these motions in contexts as different as embryonic morphogenesis, wound healing and cancer development.

Computational Nano-fluidics: This work deals with the fundamental problem of how one modifies the highly successful Navier-Stokes equations for fluid flow at the nanometer length scale. Classical Navier-Stokes treatments break down at these length and time scales, and our group has been one of the most active and pioneering in generalising the Navier-Stokes treatment to make it valid at the nano-scale.

Mathematical models of tumor-immune dynamics: Recent advances have opened the possibility of treating some cancers by developing preventative vaccines. Such cancer vaccines would function by training a person¹s immune response to recognise and eliminate early-stage tumours close to inception. A challenge to designing cancer vaccines is understanding the tumour-immune dynamics that lead to successful tumour elimination.

Statistical Mechanics of systems far from equilibrium: Our work in this area is primarily devoted to the development and application of response theory (both linear and non-linear) to systems of atoms and molecules driven out of equilibrium by external fields. We are also interested in developing simulation algorithms that are fully compatible with the principles of statistical mechanics and have a firm theoretical foundation.


Available to supervise honours students.

Fields of Research

  • Dynamical Systems In Applications - 010204


  • 2010, Swinburne, Early career Researcher Scheme ($ 10,000), Swinburne University of Technology
  • 2008, National, COSNET overseas travel grant, COSNET - Complex open systems research network
  • 2008, Swinburne, Best Doctoral Thesis in the Faculty, Swinburne University of Technology


Also published as: Frascoli, Federico; Frascoli, F.
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