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Mathematical models of cellular communication networks

Inside each living cell are vast networks of interacting proteins. These protein networks allow the cell to monitor and interpret its environment, and turn this information into a set of instructions that tell the cell what to do – when to divide, when to move/migrate, when to make new proteins, when to switch to an alternative energy source, etc. Although the human genome has now been sequenced, giving us the full set of instructions (genes) contained within the DNA molecule, …

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

Computational modelling using exponential integrators

Many physical processes can be modelled using time and space dependent partial differential equations. The solution of these equations provides researchers/industry with valuable insight into the underlying process and can often be used to explain phenomena that has been observed experimentally. However, due to the complexity of these processes and the irregular geometries on which they apply, exact analytical solutions to the governing equations are almost always not accessible. In such cases, numerical solution methods must be called upon to …

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

Computational modelling using exponential integrators

Many physical processes can be modelled using time and space dependent partial differential equations. Solutions to these equations provide researchers/industry with valuable insight into the underlying process and can often be used to explain phenomena that has been observed experimentally.However, due to nonlinearities in the governing equations and the irregular geometries on which they apply, exact analytical solutions are almost always not accessible. In such cases, numerical methods must be called upon to provide an approximate solution.Typically, the first step …

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

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