Navigating tipping points in complex dynamical systems. This project aims to use applied mathematics to investigate the onset of tipping points in dynamical systems. Working with clinicians and practicing engineers, the project aims to contribute to the development of new treatment regimes for dynamical diseases and develop improved management strategies for resource focussed engineering industries. This should provide significant benefit to many areas, including the personalised treatment of di ....Navigating tipping points in complex dynamical systems. This project aims to use applied mathematics to investigate the onset of tipping points in dynamical systems. Working with clinicians and practicing engineers, the project aims to contribute to the development of new treatment regimes for dynamical diseases and develop improved management strategies for resource focussed engineering industries. This should provide significant benefit to many areas, including the personalised treatment of disease.Read moreRead less
Sequence to Sequence: Rigorous Statistical and Mathematical Analysis of Biological Sequence Data. Comparative genomics is fundamental for developing an understanding of genes and their function. For example, using statistical and computational techniques, it was recently demonstrated that 60% of genes are conserved between fly and human. When the human gene that confers susceptibility to Parkinson's disease was transferred into the fly it caused symptoms similar to those seen in humans. The futu ....Sequence to Sequence: Rigorous Statistical and Mathematical Analysis of Biological Sequence Data. Comparative genomics is fundamental for developing an understanding of genes and their function. For example, using statistical and computational techniques, it was recently demonstrated that 60% of genes are conserved between fly and human. When the human gene that confers susceptibility to Parkinson's disease was transferred into the fly it caused symptoms similar to those seen in humans. The future development of 'personalized medicine' will rely upon understanding the function of human genes, as will progress in the agricultural sector. Rigorous statistical analysis and development of appropriate bioinformatic methods are crucial to biological sequence analysis in comparative genomics.Read moreRead less