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David Broomhead
David S. Broomhead (13 November 1950 – 24 July 2014) was a British mathematician specialising in dynamical systems and was professor of applied mathematics at the School of Mathematics, University of Manchester. Education Broomhead was born on 13 November 1950 in Leeds. He attended Aireborough Grammar School and, after spending a year teaching in Uganda, Broomhead moved to Merton College, Oxford, where he read chemistry for his first degree. He remained in Oxford for his D.Phil., researching quantum mechanics under the supervision of Peter Atkins. He completed his thesis ''Molecules in Electromagnetic Fields'' in 1976. Career After a year as a postdoc at the Atomic Energy Research Establishment, Broomhead moved to Japan. He held at two-year NATO Postdoctoral Fellowship in the Department of Physics at the University of Kyoto, in K. Tomita's group. On returning to the U.K., he worked as a postdoc with George Rowlands at the University of Warwick, again in the Physics Dep ...
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Leeds
Leeds is a city in West Yorkshire, England. It is the largest settlement in Yorkshire and the administrative centre of the City of Leeds Metropolitan Borough, which is the second most populous district in the United Kingdom. It is built around the River Aire and is in the eastern foothills of the Pennines. The city was a small manorial borough in the 13th century and a market town in the 16th century. It expanded by becoming a major production and trading centre (mainly with wool) in the 17th and 18th centuries. Leeds developed as a mill town during the Industrial Revolution alongside other surrounding villages and towns in the West Riding of Yorkshire. It was also known for its flax industry, iron foundries, engineering and printing, as well as shopping, with several surviving Victorian era arcades, such as Kirkgate Market. City status was awarded in 1893, and a populous urban centre formed in the following century which absorbed surrounding villages and overtook t ...
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University College London
University College London (Trade name, branded as UCL) is a Public university, public research university in London, England. It is a Member institutions of the University of London, member institution of the Federal university, federal University of London, and is the second-largest list of universities in the United Kingdom by enrolment, university in the United Kingdom by total enrolment and the largest by postgraduate enrolment. Established in 1826 as London University (though without university degree-awarding powers) by founders who were inspired by the radical ideas of Jeremy Bentham, UCL was the first university institution to be established in London, and the first in England to be entirely secular and to admit students regardless of their religion. It was also, in 1878, among the first university colleges to admit women alongside men, two years after University College, Bristol, had done so. Intended by its founders to be Third-oldest university in England debate ...
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Metabolism
Metabolism (, from ''metabolē'', "change") is the set of life-sustaining chemical reactions in organisms. The three main functions of metabolism are: the conversion of the energy in food to energy available to run cellular processes; the conversion of food to building blocks of proteins, lipids, nucleic acids, and some carbohydrates; and the elimination of metabolic wastes. These enzyme-catalyzed reactions allow organisms to grow and reproduce, maintain their Structures#Biological, structures, and respond to their environments. The word ''metabolism'' can also refer to the sum of all chemical reactions that occur in living organisms, including digestion and the transportation of substances into and between different cells, in which case the above described set of reactions within the cells is called intermediary (or intermediate) metabolism. Metabolic reactions may be categorized as ''catabolic''—the ''breaking down'' of compounds (for example, of glucose to pyruvate by c ...
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Douglas Kell
Douglas Bruce Kell (born 7 April 1953) is a British biochemist and Professor of Systems Biology in the Department of Biochemistry, Cell and Systems Biology, University of Liverpool part of the Institute of Systems, Molecular and Integrative Biology at the University of Liverpool. He was previously at the School of Chemistry at the University of Manchester, based in the Manchester Institute of Biotechnology (MIB) where he founded and led the Manchester Centre for Integrative Systems Biology (MCISB). He served as chief executive officer (CEO) of the Biotechnology and Biological Sciences Research Council (BBSRC) from 2008 to 2013. Education and early life Kell was privately educated at Hydneye House in Sussex and Bradfield College in Berkshire where he was top scholar. He graduated from the University of Oxford with a Bachelor of Arts degree in Biochemistry in 1975 with a distinction in chemical pharmacology, where he was an undergraduate student of St John's College, Oxfor ...
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Manchester Centre For Integrative Systems Biology
The Manchester Institute of Biotechnology, formerly the Manchester Interdisciplinary Biocentre (MIB) is a research institute of the University of Manchester, England. Role The centre was designed to enable academic communities to explore specific areas of interdisciplinary quantitative bioscience, largely through the efforts of multidisciplinary research teams. The original research portfolio was centred around three broadly defined, interdisciplinary and complementary themes: Biological Mechanism and Catalysis, Molecular Bioengineering, and Systems biology. The MIB Research is now centred around mission priorities that include: fundamental bioscience and technology development; delivery of bio-based chemicals and materials for clean growth; new biotechnologies for production and delivery of advanced therapeutics; and the engineering biological solutions for environmental protection. Since its inception the institute has become internationally known for its research strengths ...
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Biology
Biology is the scientific study of life and living organisms. It is a broad natural science that encompasses a wide range of fields and unifying principles that explain the structure, function, growth, History of life, origin, evolution, and distribution of life. Central to biology are five fundamental themes: the cell (biology), cell as the basic unit of life, genes and heredity as the basis of inheritance, evolution as the driver of biological diversity, energy transformation for sustaining life processes, and the maintenance of internal stability (homeostasis). Biology examines life across multiple biological organisation, levels of organization, from molecules and cells to organisms, populations, and ecosystems. Subdisciplines include molecular biology, physiology, ecology, evolutionary biology, developmental biology, and systematics, among others. Each of these fields applies a range of methods to investigate biological phenomena, including scientific method, observation, ...
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Numerical Analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic computation, symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt to find approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences like economics, medicine, business and even the arts. Current growth in computing power has enabled the use of more complex numerical analysis, providing detailed and realistic mathematical models in science and engineering. Examples of numerical analysis include: ordinary differential equations as found in celestial mechanics (predicting the motions of planets, stars and galaxies), numerical linear algebra in data analysis, and stochastic differential equations and Markov chains for simulati ...
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Radial Basis Function
In mathematics a radial basis function (RBF) is a real-valued function \varphi whose value depends only on the distance between the input and some fixed point, either the origin, so that \varphi(\mathbf) = \hat\varphi(\left\, \mathbf\right\, ), or some other fixed point \mathbf, called a ''center'', so that \varphi(\mathbf) = \hat\varphi(\left\, \mathbf-\mathbf\right\, ). Any function \varphi that satisfies the property \varphi(\mathbf) = \hat\varphi(\left\, \mathbf\right\, ) is a radial function. The distance is usually Euclidean distance, although other metrics are sometimes used. They are often used as a collection \_k which forms a basis for some function space of interest, hence the name. Sums of radial basis functions are typically used to approximate given functions. This approximation process can also be interpreted as a simple kind of neural network; this was the context in which they were originally applied to machine learning, in work by David Broomhead and David Low ...
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Neural Network (machine Learning)
In machine learning, a neural network (also artificial neural network or neural net, abbreviated ANN or NN) is a computational model inspired by the structure and functions of biological neural networks. A neural network consists of connected units or nodes called ''artificial neurons'', which loosely model the neurons in the brain. Artificial neuron models that mimic biological neurons more closely have also been recently investigated and shown to significantly improve performance. These are connected by ''edges'', which model the synapses in the brain. Each artificial neuron receives signals from connected neurons, then processes them and sends a signal to other connected neurons. The "signal" is a real number, and the output of each neuron is computed by some non-linear function of the sum of its inputs, called the ''activation function''. The strength of the signal at each connection is determined by a ''weight'', which adjusts during the learning process. Typically, neuron ...
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Chaos Theory
Chaos theory is an interdisciplinary area of Scientific method, scientific study and branch of mathematics. It focuses on underlying patterns and Deterministic system, deterministic Scientific law, laws of dynamical systems that are highly sensitive to initial conditions. These were once thought to have completely random states of disorder and irregularities. Chaos theory states that within the apparent randomness of chaotic complex systems, there are underlying patterns, interconnection, constant feedback loops, repetition, self-similarity, fractals and self-organization. The butterfly effect, an underlying principle of chaos, describes how a small change in one state of a deterministic nonlinear system can result in large differences in a later state (meaning there is sensitive dependence on initial conditions). A metaphor for this behavior is that a butterfly flapping its wings in Brazil can cause or prevent a tornado in Texas. Text was copied from this source, which is avai ...
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Signal Processing
Signal processing is an electrical engineering subfield that focuses on analyzing, modifying and synthesizing ''signals'', such as audio signal processing, sound, image processing, images, Scalar potential, potential fields, Seismic tomography, seismic signals, Altimeter, altimetry processing, and scientific measurements. Signal processing techniques are used to optimize transmissions, Data storage, digital storage efficiency, correcting distorted signals, improve subjective video quality, and to detect or pinpoint components of interest in a measured signal. History According to Alan V. Oppenheim and Ronald W. Schafer, the principles of signal processing can be found in the classical numerical analysis techniques of the 17th century. They further state that the digital refinement of these techniques can be found in the digital control systems of the 1940s and 1950s. In 1948, Claude Shannon wrote the influential paper "A Mathematical Theory of Communication" which was publis ...
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Time Series Analysis
In mathematics, a time series is a series of data points indexed (or listed or graphed) in time order. Most commonly, a time series is a sequence taken at successive equally spaced points in time. Thus it is a sequence of discrete-time data. Examples of time series are heights of ocean tides, counts of sunspots, and the daily closing value of the Dow Jones Industrial Average. A time series is very frequently plotted via a run chart (which is a temporal line chart). Time series are used in statistics, signal processing, pattern recognition, econometrics, mathematical finance, weather forecasting, earthquake prediction, electroencephalography, control engineering, astronomy, communications engineering, and largely in any domain of applied science and engineering which involves temporal measurements. Time series ''analysis'' comprises methods for analyzing time series data in order to extract meaningful statistics and other characteristics of the data. Time series ''forec ...
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