A hierarchical quantum mechanical and classical simulation of biological ion channels. I aim to develop a methodology incorporating molecular quantum
mechanics and classical Brownian mechanics in a way that can be
applied practically to large macromolecular systems, thus relating
fine structural details to experimentally measurable
properties. Specifically, I will apply this methodology to study ion
channels in which the challenge is to relate electronic and atomic
structure to the conduct ....A hierarchical quantum mechanical and classical simulation of biological ion channels. I aim to develop a methodology incorporating molecular quantum
mechanics and classical Brownian mechanics in a way that can be
applied practically to large macromolecular systems, thus relating
fine structural details to experimentally measurable
properties. Specifically, I will apply this methodology to study ion
channels in which the challenge is to relate electronic and atomic
structure to the conductance properties of the channel. Accurately
determining these relationships provides a pathway to developing cures
for many neurological, cardiac, and muscular diseases.
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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