Professor Graeme Pettet
This person does not currently hold a position at QUT.
Biography
Research areaTheoretical and Mathematical Biology: My research interests lie at the interface of mathematics, life sciences and engineering where there are a wealth of problems for which novel and inventive solutions are sought. The application of applied mathematical methodologies for modelling, solution and simulation prove to be a powerful and stimulating component of such collaborative research activities.
With a particular interest in biomechanics and regenerative medicine, my collaborative projects cover such topics as modelling the lumbar spine, growth and function of the human epidermis, soft-tissue wound healing, tumour growth and fracture repair in bone.
Dynamical Systems: From a mathematical perspective, elements from many of these projects have led to models of chemotactically driven travelling waves and other issues of emergent behaviour wherein population or tissue level patterns evolve from small scale or cell level interactions.
Graeme Pettet's research interests lie at the interface of mathematics, life sciences and engineering where there are a wealth of problems for which novel and inventive solutions are sought. The application of applied mathematical methodologies for modelling, solution and simulation prove to be a powerful and stimulating component of such collaborative research activities.
With a particular interest in biomechanics and regenerative medicine, Graeme's collaborative projects cover such topics as modelling the lumbar spine, growth and function of the human epidermis, soft-tissue wound healing, tumour growth and fracture repair in bone. From a mathematical perspective, elements from many of these projects have led to models of chemotactically driven travelling waves and other issues of emergent behaviour wherein population or tissue level patterns evolve from small scale or cell level interactions.Graeme Pettet's research interests lie at the interface of mathematics, life sciences and engineering where there are a wealth of problems for which novel and inventive solutions are sought. The application of applied mathematical methodologies for modelling, solution and simulation prove to be a powerful and stimulating component of such collaborative research activitiesWith a particular interest in biomechanics and regenerative medicine, Graeme's collaborative projects cover such topics as modelling the lumbar spine, growth and function of the human epidermis, soft-tissue wound healing, tumour growth and fracture repair in bone. From a mathematical perspective, elements from many of these projects have led to models of chemotactically driven travelling waves and other issues of emergent behaviour wherein population or tissue level patterns evolve from small scale or cell level interactions.
Areas of expertise
- Mathematical and computational modelling of cell migration, cancer growth and wound healing.
- Mathematical and computational modelling of bone fracture repair
- Travelling wave solutions to PDE systems
- Canard solutions in ODE systems
Recent grants
- ARC Discovery Grant (2011-2013): A Geometric Theory for Travelling Waves in Advection-Reaction-Diffusion Models
- ARC Discovery Grant (2009-2011): Inter-Fragmentary Movement In Callus Formation In The Early Phase Of Fracture Healing
- ARC Discovery Grant (2007-2009): Human Skin Equivalent Constructs: Enhanced Culturing and Application of Laboratory-Grown Skin Through Mathematical Modelling and in Silico Experimentation
PhD Projects currently available:
Computational Cancer Biology ... a collaborative project involving mathematicians and bio-engineers. Send email to g.pettet@qut.edu.au if you think you might be interested.
Personal details
Keywords
Mathematical and Theoretical Biology, Dynamical and Complex Systems, Tissue Repair and Regeneration
Discipline
Applied Mathematics, Numerical and Computational Mathematics
Field of Research code, Australian and New Zealand Standard Research Classification (ANZSRC), 2008
Qualifications
- PhD (University of Newcastle)
- BMath(Hons) (University of Newcastle)
- BSc (University of Newcastle)
- BMath (University of Newcastle)
- Dip Ed (University of Newcastle)
Teaching
- MXB221 Ordinary Differential Equations
- MXB323 Dynamical Systems
Mathematical and Theoretical Biology I have an interest in the solution of ordinary differential equations as they relate to problems of dynamical systems in population and ecological contexts. Travelling waves solutions to coupled systems of partial differential equations provide a link form this interest in dynamical systems to problems of pattern formation and invasion in biological tissues.
Engineering Mathematics I have had a long-term involvement with the management and delivery of service teaching units in mathematics for various Bachelor of Engineering degrees and have been the recipient of an Award for Outstanding Contributions to Student Learning from the Carrick Institute for Learning and Teaching in Higher Education, 2006.
Selected publications
- Hutmacher D, Little P, Pettet G, Loessner D, (2015) Biomaterial science meets computational biology, Journal of Materials Science: Materials in Medicine, 26 (5), pp. 1-3.
- Keenan B, Pettet G, Izatt M, Askin G, Labrom R, Pearcy M, Adam C, (2015) Gravity-induced coronal plane joint moments in adolescent idiopathic scoliosis, Scoliosis and Spinal Disorders, 10, pp. 1-11.
- Vo B, Drovandi C, Pettitt T, Pettet G, (2015) Melanoma cell colony expansion parameters revealed by approximate Bayesian computation, PLoS Computational Biology, 11 (12), pp. 1-22.
- Harley K, van Heijster P, Marangell R, Pettet G, Wechselberger M, (2015) Numerical computation of an Evans function for travelling waves, Mathematical Biosciences, 266, pp. 36-51.
- Mallet D, Pettet G, Adams M, (2015) Towards a quantitative theory of epidermal calcium profile formation in unwounded skin, PLoS One, 10 (1), pp. 1-23.
- Pasdunkorale Arachchige J, Pettet G, (2014) A finite volume method with linearisation in time for the solution of advection-reaction-diffusion systems, Applied Mathematics and Computation, 231, pp. 445-462.
- Harley K, van Heijster P, Pettet G, (2014) A geometric construction of travelling wave solutions to the Keller--Segel model, The ANZIAM Journal, 55.
- Harley K, van Heijster P, Marangell R, Pettet G, Wechselberger M, (2014) Existence of travelling wave solutions for a model of tumor invasion, SIAM Journal on Applied Dynamical Systems, 13 (1), pp. 366-396.
- Harley K, van Heijster P, Marangell R, Pettet G, Wechselberger M, (2014) Novel solutions for a model of wound healing angiogenesis, Nonlinearity, 27 (12), pp. 2975-3003.
- Keenan B, Izatt M, Askin G, Labrom R, Pettet G, Pearcy M, Adam C, (2014) Segmental torso masses in adolescent idiopathic scoliosis, Clinical Biomechanics, 29 (7), pp. 773-779.
QUT ePrints
For more publications by Graeme, explore their research in QUT ePrints (our digital repository).
Research projects
- Title
- ARC Centre of Excellence for Mathematical and Statistical Frontiers of Big Data, Big Models, New Insights (ACEMS)
- Primary fund type
- CAT 1 - Australian Competitive Grant
- Project ID
- CE140100049
- Start year
- 2014
- Keywords
- Title
- A Geometric Therory for Travelling Waves in Advection-Reaction-Diffusion Models
- Primary fund type
- CAT 1 - Australian Competitive Grant
- Project ID
- DP110102775
- Start year
- 2011
- Keywords
- Dynamical Systems; Advection-Resarction-Diffusion Models; Singular Perturbation Problems; Viscous Conservation Laws
- Title
- Inter-Fragmentary Movement In Callus Formation In The Early Phase Of Fracture Healing
- Primary fund type
- CAT 1 - Australian Competitive Grant
- Project ID
- DP0988124
- Start year
- 2009
- Keywords
- mathematical modelling; fracture healing
- Title
- Human Skin Equivalent Constructs: Enhanced Culturing and Application of Laboratory-Grown Skin Through Mathematical Modelling and in Silico Experimentation
- Primary fund type
- CAT 1 - Australian Competitive Grant
- Project ID
- DP0773230
- Start year
- 2007
- Keywords
- mathematical modelling; mathematical biology
Supervision
Completed supervisions (Doctorate)
- Mathematical Modelling of Human Corneal Oxygenation and Cell Kinetics in Corneal Epithelial Wound Healing (2016)
- Novel Likelihood-Free Bayesian Parameter Estimation Methods for Stochastic Models of Collective Cell Spreading (2016)
- Mathematical Models of Calcium and Tight Junctions in Normal and Reconstructed Epidermis (2015)
- Medical Imaging and Biomechanical Analysis of Scoliosis Progression in the Growing Adolescent Spine (2015)
- Canards in advection-reaction-diffusion systems in one spatial dimension. (2014)
- Mathematical Modelling of Intramembranous Bone Formation During Fracture Healing (2014)
- Cell Migration and Proliferation on Homogeneous and Non-homogeneous Domains: Modelling on the Scale of Individuals and Populations (2013)
- Mathematical Modelling of Soft Callus Formation in Murine Bone Repair (2013)
- Mathematical modelling of controlled drug release from polymer micro-spheres: incorporating the effects of swelling, diffusion and dissolution via moving boundary problems (2013)
- Mathematical Modelling of the Immune Response to Chlamydia Trachomatis (2012)