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Active-transport mechanisms for robust biological patterning

The underlying mechanisms that generate shapes and patterns in biology are characterized by a remarkable robustness, despite the uncontrollable parameter variability. More than half a century ago, Alan Turing published a landmark mathematical study entitled “The Chemical Basis of Morphogenesis” to explain how patterns in biology could be produced via certain classes of reaction-diffusion systems.This mathematical theory proposed the novel idea that two homogeneously dispersed “morphogens” - chemicals that determine a cell’s fate or characteristics - can autonomously generate spatial …

Study level
PhD, Master of Philosophy, Honours
Faculty
Science and Engineering Faculty
Lead unit
Science and Engineering Faculty

The mathematics of robustness in molecular communication networks

Robustness, and the ability to function and thrive amid changing and unfavourable environments, is a fundamental requirement for living systems. In the past, it has been a mystery how large and complex biological networks can exhibit robust performance since complexity is generally associated with fragility.Exciting recent research here at QUT has suggested a resolution to this paradox through the discovery that robust adaptive signalling networks must be constructed from a small number of well-defined universal modules ("motifs"). The existence of …

Study level
PhD, Master of Philosophy, Honours
Faculty
Science and Engineering Faculty
Lead unit
Science and Engineering Faculty

The dynamics of planar localised structures

While patterns observed in the natural sciences are in general (at least) two-dimensional, our mathematical understanding of the interaction of two-dimensional, or planar, localised structures is still in its infancy. In this project, we aim to further this understanding and examine the interaction of fundamental two-dimensional, or planar, patterns such as spots and stripes in reaction-diffusion equations, by developing and extending state-of-the-art mathematical techniques. These fundamental planar structures form the backbone of more complex patterns and are, for example, observed …

Study level
PhD
Faculty
Science and Engineering Faculty
Lead unit
Science and Engineering Faculty

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