Neural spike variability: unifying conflicting views of neural dynamics. The project aims to improve our understanding of neural dynamics. The brain represents and processes information by means of neural voltage spikes, which show great variability in their timing. Understanding the origin of such variable neural dynamics is a long-standing problem in neuroscience. The aim of this project is to develop a novel account of variable neural dynamics, unravelling their computational principles in th ....Neural spike variability: unifying conflicting views of neural dynamics. The project aims to improve our understanding of neural dynamics. The brain represents and processes information by means of neural voltage spikes, which show great variability in their timing. Understanding the origin of such variable neural dynamics is a long-standing problem in neuroscience. The aim of this project is to develop a novel account of variable neural dynamics, unravelling their computational principles in the brain, and unifying current leading but conflicting theories. The model developed in this project would be used to explain a range of empirical observations, and the principles unravelled would be applied to understand spike-timing based neural coding. The new knowledge gained in this project may have profound implications for designing brain-like computing devices.Read moreRead less
Biophysics of the brain’s waste disposal system: Understanding why we sleep. This project aims to develop a new biophysical model of the brain, founded on the recently discovered glymphatic system responsible for waste disposal during sleep. It sets out to formulate, analyse, and validate rigorous new multiscale quantitative modelling – to advance the study of sleep and brain clearance dynamics, at timescales from hours to decades. Among expected outcomes are powerful models ready for applicatio ....Biophysics of the brain’s waste disposal system: Understanding why we sleep. This project aims to develop a new biophysical model of the brain, founded on the recently discovered glymphatic system responsible for waste disposal during sleep. It sets out to formulate, analyse, and validate rigorous new multiscale quantitative modelling – to advance the study of sleep and brain clearance dynamics, at timescales from hours to decades. Among expected outcomes are powerful models ready for application at both population and individual level, and testable predictions concerning the sleep patterns that lead to aggregation of waste in the brain and eventual cognitive decline. Project outcomes should also benefit society and the economy though translation into interventions for sleep disturbance – in future applied research.Read moreRead less
New mathematical approaches to learn the equations of life from noisy data. New mathematical models and mathematical modelling methods must be continually developed to interpret emerging biotechnology experiments. Contemporary research in tissue engineering involves growing tissues on 3d-printed scaffolds to mimic constrained in vivo geometries. Previous mathematical models of tissue growth focus on computationally expensive discrete mathematical models that are poorly suited for parameter infe ....New mathematical approaches to learn the equations of life from noisy data. New mathematical models and mathematical modelling methods must be continually developed to interpret emerging biotechnology experiments. Contemporary research in tissue engineering involves growing tissues on 3d-printed scaffolds to mimic constrained in vivo geometries. Previous mathematical models of tissue growth focus on computationally expensive discrete mathematical models that are poorly suited for parameter inference and experimental design. This project will deliver and deploy high-fidelity, computationally efficient moving boundary continuum mathematical models that will: (i) predict/interpret new experiments, (ii) provide quantitative insight into biological mechanisms, and (iii) enable reproducible experimental design.Read moreRead less
Building macroscale models from microscale probabilistic models. Spatial patterns arise in biological and physical processes. Understanding how local individual-based functions, such as movement and interactions between individuals, give rise to global spatial distributions and patterns in populations of individuals is generating much interest. Probabilistic agent-based models provide information about the movement of individuals, whereas continuum models provide information about the global pro ....Building macroscale models from microscale probabilistic models. Spatial patterns arise in biological and physical processes. Understanding how local individual-based functions, such as movement and interactions between individuals, give rise to global spatial distributions and patterns in populations of individuals is generating much interest. Probabilistic agent-based models provide information about the movement of individuals, whereas continuum models provide information about the global properties, such as spread of populations. This project will provide tools for determining the connection between the two types of models, thereby linking the behaviour on microscopic and macroscopic scales.Read moreRead less
Mathematical models to connect experiments across biological scales. Understanding the function and development of organs is crucial to our understanding of fundamental biology. This project aims to address our inability to connect and understand behaviour between simple and complex biological experiments. This project expects to develop new mathematical theory and models to connect experiments across scales and complexity. Expected outcomes of this project include a new mathematical modelling f ....Mathematical models to connect experiments across biological scales. Understanding the function and development of organs is crucial to our understanding of fundamental biology. This project aims to address our inability to connect and understand behaviour between simple and complex biological experiments. This project expects to develop new mathematical theory and models to connect experiments across scales and complexity. Expected outcomes of this project include a new mathematical modelling framework, and advances in understanding in both biology and mathematics. This should provide significant benefits as using mathematical modelling to understand experimental connections will decrease the time- and financial- costs of performing experiments, while increasing efficiency and insight.Read moreRead less
The evolution of cooperative communication. This interdisciplinary project will provide a broad understanding of communication in a model ecological system involving ants, lycaenid butterflies, and host-plants. The project will reveal the nature of the chemical signals used to communicate, and their role in the origin, maintenance, and loss of mutualistic and parasitic associations.
Novel techniques for statistical and mathematical analyses of sequence data. Algorithms will be developed for analysing and comparing the sequences of DNA letters and amino acids constantly being generated in massive quantities by biological research. The novel approach taken is based on the statistical frequency of occurrence of short words and is designed specifically for situations where current methods fail.
Understanding the crowd - improving accuracy in collective motion theory. This project intends to develop more accurate methods for predicting the motions of large groups. The amazing coordinated movements seen in large groups of animals are governed by simple interactions between individuals, termed rules of motion. In 2011, techniques were developed to estimate individual rules of motion from video tracking data. The project plans to build on these breakthroughs by using advanced tracking, mod ....Understanding the crowd - improving accuracy in collective motion theory. This project intends to develop more accurate methods for predicting the motions of large groups. The amazing coordinated movements seen in large groups of animals are governed by simple interactions between individuals, termed rules of motion. In 2011, techniques were developed to estimate individual rules of motion from video tracking data. The project plans to build on these breakthroughs by using advanced tracking, modelling and analysis to systematically determine the influence that different movement parameters have on rules of motion and how rules of motion are affected by group size. It aims to develop a framework for analysis and modelling built on the visual perception of individuals.Read moreRead less
Leadership matters: the emergence of informed leaders and their influence on group movement. This project will discover the effect of leadership and social structure on collective motion in schools of damselfish, swarms of honey bees and human pedestrians using videoed experiments and computer simulations. These findings will be important in preventing crowd stampedes, understanding risky road crossing behaviour and designing 'swarms' of robots.
Guiding principles and guardrails for genetic association studies. This project aims to investigate deep connections between genetic structure (population genetic processes, linkage disequilibrium and population structure) and the ability to statistically detect genetic variants responsible for variation in traits. The project expects to generate new knowledge in the areas of statistics, mathematics and biology through an innovative, multidisciplinary approach that synthesises and extends founda ....Guiding principles and guardrails for genetic association studies. This project aims to investigate deep connections between genetic structure (population genetic processes, linkage disequilibrium and population structure) and the ability to statistically detect genetic variants responsible for variation in traits. The project expects to generate new knowledge in the areas of statistics, mathematics and biology through an innovative, multidisciplinary approach that synthesises and extends foundational disciplinary results. Expected outcomes of this project include principles and methodology that underpin future genetic association studies by supplying a framework for interpreting results. This should provide significant benefits by reducing false conclusions and their associated costs.Read moreRead less