- Associate Professor Alistair Evans, Monash University
Certain repeating elements of the body, such as teeth, fingers, limbs and vertebrae, follow the rule that the size of the middle element of a group of three is the average size of the three elements . This simple rule constrains how the relative sizes of segments develop in the embryo and evolve over long periods of time. The precise mechanisms that determine the number and size of repeating structures, such as fingers and teeth, remain largely unknown.
- Kavanagh KD, Evans AR, Jernvall J (2007) Predicting evolutionary patterns of mammalian teeth from development, Nature 449:427–433
- Simpson MJ, Landman KA, Newgreen DF (2006) Chemotactic and diffusive migration on a nonuniformly growing domain: numerical algorithm development and applications, J Comp App Math 192:282–300
- Buenzli PR (2016) Governing equations of tissue modelling and remodelling: A unified generalised description of surface and bulk balance, PLoS ONE 11:e0152582
You will develop mathematical and computational models to investigate possible biological mechanisms of sequentially patterned growth. These models will be based on reaction–diffusion problems on growing domains [2,3] and generalisations of Turing-like patterning mechanisms.
This project is related to a recently awarded Australian Council Research Discovery Project DP180101797 A New Universal Mechanism Controlling Body Proportions in Animals and includes a PhD stipend topup (see below). It will involve interdisciplinary collaboration with A/Prof. Alistair Evans, School of Biological Sciences, Monash University.
Development of a new class of morphogenetic Turing patterns that exhibit size patterns. Application of such models to segmental growth in collaboration with A/Prof. Alistair Evans (Monash).
Skills and experience
Prospective PhD candidates with applied mathematics background or equivalent and interest in developmental biology are strongly encouraged to apply. Parts of this project can be tailored to suit research students at Honours and Masters level. Some profiency in differential equations and computer modelling is expected.
A PhD stipend top-up of $5,000 per year for 3 years is available for outstanding PhD candidates who will hold an APA or equivalent scholarship.
You may be able to apply for a research scholarship in our annual scholarship round.
Contact the supervisor for more information.