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Anderson Gray McKendrick
Lt Col Anderson Gray McKendrick DSc FRSE (8 September 1876 – 30 May 1943) was a Scottish military physician and epidemiologist who pioneered the use of mathematical methods in epidemiology. Irwin (see below) commented on the quality of his work, "Although an amateur, he was a brilliant mathematician, with a far greater insight than many professionals." Life McKendrick was born at 2 Chester Street in Edinburgh the fifth and last child of John Gray McKendrick FRS, a distinguished physiologist, and his wife, Mary Souttar. His older brother was John Souttar McKendrick FRSE (1874-1946). He was educated at Kelvinside Academy then trained as a doctor at the University of Glasgow qualifying MB ChB in 1900. He then was commissioned in the British Army and joined the Indian Medical Service. At the rank of Lt Colonel he led an expedition into Somaliland in 1903/4 as part of what was then known as the Dervish Wars. He later worked with Ronald Ross and eventually would continue his wor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
FRSE
Fellowship of the Royal Society of Edinburgh (FRSE) is an award granted to individuals that the Royal Society of Edinburgh, Scotland's national academy of science and letters, judged to be "eminently distinguished in their subject". This society received a royal charter in 1783, allowing for its expansion. Elections Around 50 new fellows are elected each year in March. there are around 1,650 Fellows, including 71 Honorary Fellows and 76 Corresponding Fellows. Fellows are entitled to use the post-nominal letters FRSE, Honorary Fellows HonFRSE, and Corresponding Fellows CorrFRSE. Disciplines The Fellowship is split into four broad sectors, covering the full range of physical and life sciences, arts, humanities, social sciences, education, professions, industry, business and public life. A: Life Sciences * A1: Biomedical and Cognitive Sciences * A2: Clinical Sciences * A3: Organismal and Environmental Biology * A4: Cell and Molecular Biology B: Physical, Engineering and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Punjab Region
Punjab (; Punjabi Language, Punjabi: پنجاب ; ਪੰਜਾਬ ; ; also Romanization, romanised as ''Panjāb'' or ''Panj-Āb'') is a geopolitical, cultural, and historical region in South Asia, specifically in the northern part of the Indian subcontinent, comprising areas of eastern Geography of Pakistan, Pakistan and northwestern Geography of India, India. Punjab's capital and largest city and historical and cultural centre is Lahore. The other major cities include Faisalabad, Rawalpindi, Gujranwala, Multan, Ludhiana, Amritsar, Sialkot, Chandigarh, Jalandhar, and Bahawalpur. Punjab grew out of the settlements along the five rivers, which served as an important route to the Near East as early as the ancient Indus Valley civilisation, Indus Valley civilization, dating back to 3000 BCE, and had numerous Indo-Aryan migration, migrations by the Indo-Aryan peoples. Agriculture has been the major economic feature of the Punjab and has therefore formed the foundation of Punjabi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William Ogilvy Kermack
William Ogilvy Kermack FRS FRSE FRIC (26 April 1898 – 20 July 1970) was a Scottish biochemist. He made mathematical studies of epidemic spread and established links between environmental factors and specified diseases. He is noteworthy for being blind for the majority of his academic career. Together with Anderson Gray McKendrick he created the Kermack-McKendrick theory of infectious diseases. Early life and education He was born on 26 April 1898 at 36 South Street in Kirriemuir, the son of William Kermack, a postman, and his wife, Helen Eassie Ogilvy. His mother was placed in an asylum soon after his birth and died when he was six and he was raised by his father's sister Margaret Osler Kermack, wife of David Marnie, a blacksmith. He was raised with their four children - his cousins. William was educated at Webster's Seminary in Kirriemuir under headmaster Thomas Pullar. He won a bursary and began studying Mathematics and Natural Philosophy at the University of Aberdeen in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William Feller
William "Vilim" Feller (July 7, 1906 – January 14, 1970), born Vilibald Srećko Feller, was a Croatian-American mathematician specializing in probability theory. Early life and education Feller was born in Zagreb to Ida Oemichen-Perc, a Croatian-Austrian Catholic, and Eugen Viktor Feller, son of a Polish-Jewish father (David Feller) and an Austrian mother (Elsa Holzer). Eugen Feller was a famous chemist and created ''Elsa fluid'' named after his mother. According to Gian-Carlo Rota, Eugen Feller's surname was a "Slavic tongue twister", which William changed at the age of twenty. This claim appears to be false. His forename, Vilibald, was chosen by his Catholic mother for the saint day of his birthday. Work Feller held a docent position at the University of Kiel beginning in 1928. Because he refused to sign a Nazi oath, he fled the Nazis and went to Copenhagen, Denmark in 1933. He also lectured in Sweden (Stockholm and Lund). As a refugee in Sweden, Feller reported being tro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stochastic Models
In probability theory and related fields, a stochastic () or random process is a mathematical object usually defined as a family of random variables. Stochastic processes are widely used as mathematical models of systems and phenomena that appear to vary in a random manner. Examples include the growth of a bacterial population, an electrical current fluctuating due to thermal noise, or the movement of a gas molecule. Stochastic processes have applications in many disciplines such as biology, chemistry, ecology, neuroscience, physics, image processing, signal processing, control theory, information theory, computer science, cryptography and telecommunications. Furthermore, seemingly random changes in financial markets have motivated the extensive use of stochastic processes in finance. Applications and the study of phenomena have in turn inspired the proposal of new stochastic processes. Examples of such stochastic processes include the Wiener process or Brownian motion process, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Partial Differential Equation
In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to how is thought of as an unknown number to be solved for in an algebraic equation like . However, it is usually impossible to write down explicit formulas for solutions of partial differential equations. There is, correspondingly, a vast amount of modern mathematical and scientific research on methods to Numerical methods for partial differential equations, numerically approximate solutions of certain partial differential equations using computers. Partial differential equations also occupy a large sector of pure mathematics, pure mathematical research, in which the usual questions are, broadly speaking, on the identification of general qualitative features of solutions of various partial differential equations, such a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Von Foerster Equation
The McKendrick–von Foerster equation is a linear first-order partial differential equation encountered in several areas of mathematical biology – for example, demography and cell proliferation modeling; it is applied when age structure is an important feature in the mathematical model. It was first presented by Anderson Gray McKendrick in 1926 as a deterministic limit of lattice models applied to epidemiology Epidemiology is the study and analysis of the distribution (who, when, and where), patterns and determinants of health and disease conditions in a defined population. It is a cornerstone of public health, and shapes policy decisions and evidenc ..., and subsequently independently in 1959 by biophysics professor Heinz von Foerster for describing cell cycles. Mathematical formula The mathematical formula can be derived from first principles. It reads:where the population density n(t,a) is a function of age ''a'' and time ''t'', and m(a) is the death function. When m(a) = ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Birth–death Process
The birth–death process (or birth-and-death process) is a special case of continuous-time Markov process where the state transitions are of only two types: "births", which increase the state variable by one and "deaths", which decrease the state by one. The model's name comes from a common application, the use of such models to represent the current size of a population where the transitions are literal births and deaths. Birth–death processes have many applications in demography, queueing theory, performance engineering, epidemiology, biology and other areas. They may be used, for example, to study the evolution of bacteria, the number of people with a disease within a population, or the number of customers in line at the supermarket. When a birth occurs, the process goes from state ''n'' to ''n'' + 1. When a death occurs, the process goes from state ''n'' to state ''n'' − 1. The process is specified by birth rates \_ and death rates \_. Recu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cargill Gilston Knott
Cargill Gilston Knott FRS, FRSE LLD (30 June 1856 – 26 October 1922) was a Scottish physicist and mathematician who was a pioneer in seismological research. He spent his early career in Japan. He later became a Fellow of the Royal Society, Secretary of the Royal Society of Edinburgh, and President of the Scottish Meteorological Society. Biography Knott was born in Penicuik, Midlothian, the son of Pelham Knott, an agent for a paper manufacturer and his wife Ellen. His paternal uncle was the artist Tavernor Knott. He was educated at Arbroath High School in Angus, and attended the University of Edinburgh, where he studied alongside James Alfred Ewing. He worked on various aspects of electricity and magnetism, obtaining his doctorate in 1879. He was appointed as an assistant in Natural Philosophy at the University of Edinburgh in 1879, and held this post until 1883, when he left to take up a post at Tokyo Imperial University. He was elected as a Fellow of the Royal Society of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ralph Stockman
Dr Ralph Stockman MD LLD (3 August 1861–27 February 1946) was a Scottish Professor of Materia Medica and Therapeutics at the University of Glasgow. He was an expert on iron deficiency anaemia. Life Stockman was born on 3 August 1861 at Wellington Street in Leith the son of William J. Stockman. The family moved to 2 Bonnington Place in his youth, soon after the birth of his younger brother, Stewart Stockman. Ralph was educated at the Royal High School in Edinburgh then studied medicine at the University of Edinburgh graduating with a MB ChB in 1882. He then did postgraduate studies at both Vienna and Strasbourg before returning to Edinburgh to obtain his doctorate (MD) in 1886. He then moved to Glasgow to work at the Glasgow Western Infirmary and lecture at the University of Glasgow. In 1897 he was given a professorship. In 1888 he was elected a Fellow of the Royal Society of Edinburgh. His proposers were Sir Andrew Douglas Maclagan, Alexander Crum Brown, Sir German ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diarmid Noel Paton
Diarmid Noël Paton, (19 March 1859 – 30 September 1928), known as Noël Paton, was a Scottish physician and academic. From 1906 to 1928, he was the Regius Professor of Physiology at the University of Glasgow. Personal life and education Paton was born at 37 Drummond Place in Edinburgh's New Town, the son of Margaret (née Ferrier) and Joseph Noel Paton. His father worked as an artist. He was educated at Edinburgh Academy, and the University of Edinburgh where he graduated with a BSc in 1880, and MB, CM with first-class honours in 1882. In 1898 he married Agatha (Agate) Henrietta Balfour. They were parents to Donald Noel Paton and Olivia Campbell Paton. He died while walking along the banks of the River Tweed near his home at Stobo in the Scottish Borders on 30 September 1928. Career After a short period of study in Europe, Paton took up positions at Edinburgh Royal Infirmary and later the Royal Hospital for Sick Children. He received a fellowship in 1883 to work in th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Society Of Edinburgh
The Royal Society of Edinburgh is Scotland's national academy of science and letters. It is a registered charity that operates on a wholly independent and non-partisan basis and provides public benefit throughout Scotland. It was established in 1783. , there are around 1,800 Fellows. The Society covers a broader selection of fields than the Royal Society of London, including literature and history. Fellowship includes people from a wide range of disciplines – science & technology, arts, humanities, medicine, social science, business, and public service. History At the start of the 18th century, Edinburgh's intellectual climate fostered many clubs and societies (see Scottish Enlightenment). Though there were several that treated the arts, sciences and medicine, the most prestigious was the Society for the Improvement of Medical Knowledge, commonly referred to as the Medical Society of Edinburgh, co-founded by the mathematician Colin Maclaurin in 1731. Maclaurin was unhappy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
