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Our Tutorial at IJCNN 2009 We gave a tutorial at the International Joint Conference on Neural Networks 2009 . The title is Tutorial A1_T11: Fundamentals of Categorical Neural Semantic Theory , and it was given jointly with my colleague Tom Caudell during the tutorial sessions. http://www.ece.unm.edu/~mjhealy/

Mike Healy

Mathematical and theoretical biology is an interdisciplinary scientific research field with a range of applications in biology , medicine and biotechnology . [ 1 ] The field may be referred to as mathematical biology or biomathematics to stress the mathematical side, or as theoretical biology to stress the biological side. [ 2 ] It includes at least four major subfields: biological mathematical modeling , relational biology/complex systems biology (CSB) , bioinformatics and computational biomodeling / biocomputing . It is also very similar to the new field of algebraic biology . [ 3 ] [ 4 ] Mathematical biology aims at the mathematical representation, treatment and modeling of biological processes, using a variety of applied mathematical techniques and tools. It has both theoretical and practical applications in biological, biomedical and biotechnology research.

Mathematical and theoretical biology - Wikipedia, the free encyclopedia

http://en.wikipedia.org/wiki/Mathematical_and_theoretical_biology
The title of this Essay raises interesting possibilities for the canny reader trying to determine its veracity. If true, then we must accept what it claims: it is false. http://www.nature.com/nature/journal/v458/n7241/full/458969a.html

This title is false : Article : Nature

A category with objects X , Y , Z and morphisms f , g , g ∘ f , and three identity morphisms (not shown) 1 X , 1 Y and 1 Z . Category theory is an area of study in mathematics that examines in an abstract way the properties of particular mathematical concepts, by formalising them as collections of objects and arrows (also called morphisms , although this term also has a specific, non category-theoretical sense), where these collections satisfy some basic conditions. Many significant areas of mathematics can be formalised as categories, and the use of category theory allows many intricate and subtle mathematical results in these fields to be stated, and proved, in a much simpler way than without the use of categories. The most accessible example of a category is the category of sets , where the objects are sets and the arrows are functions from one set to another.

Category theory - Wikipedia, the free encyclopedia

http://en.wikipedia.org/wiki/Category_theory

Category Theory

http://www.j-paine.org/dobbs/categories.html John Baez: If string theory is correct, Windows XP already runs using manifolds and cobordisms. If loop quantum gravity is correct, it's using something a bit different, but very similar: spin networks and spin foams. If Microsoft's Project Q succeeds, and you're very patient, you may someday use a version of Windows XP that runs using a modular tensor category implemented via the fractional quantum Hall effect.

Category Theory Demonstrations

[ Jocelyn Ireson-Paine's Home Page | Publications | What might Categories do for AI and Cognitive Science? | n-Category Café thread about Graphical Category Theory Demonstrations ] I've lost a few mails from people who asked about improvements to, or problems with, the demonstrations. One of them was about viewing angle brackets in Windows. If you sent me something and haven't had a reply, could you resend? Thanks. http://www.j-paine.org/cgi-bin/webcats/webcats.php
http://en.wikipedia.org/wiki/Saunders_Mac_Lane Saunders Mac Lane (4 August 1909, Taftville , Connecticut – 14 April 2005, San Francisco ) was an American mathematician who cofounded category theory with Samuel Eilenberg . [ edit ] Career Mac Lane was christened "Leslie Saunders MacLane", but "Leslie" fell into disuse because his parents, Donald MacLane and Winifred Saunders, came to dislike it. He began inserting a space into his surname because his first wife found it difficult to type the name without a space. [ 1 ] Mac Lane earned a BA from Yale University in 1930, and an MA from the University of Chicago in 1931. During this period, he published his first scientific paper, in physics and co-authored with Irving Langmuir .

Saunders Mac Lane - Wikipedia, the free encyclopedia

Eugenia Cheng and Simon Willerton of the University of Sheffield, a.k.a. TheCatsters, have an excellent series of lectures on category theory on YouTube . The only thing missing is some overview of the lectures, which is the purpose of the freemind diagram below.

Edsko de Vries - FMG - Research - Computer Science Department - Computer Science - Trinity College Dublin

http://www.scss.tcd.ie/Edsko.de.Vries/ct/catsters/

Eugenia Cheng

My research is in category theory, mostly higher-dimensional. Some non-technical introductions to my field can be found further down this page. Until September 2007 I was a Marie Curie Fellow at the Laboratoire J. A. Dieudonné , the Department of Mathematics at the Université de Nice Sophia-Antipolis . http://www.cheng.staff.shef.ac.uk/

Simon Willerton

I am a pure mathematician interested in various aspects of geometry, topology, category theory, metric spaces and quantum algebra. I am the organizer of the Sheffield Pure Mathematics Colloquium. I am a host of the n -Category Café. http://www.simonwillerton.staff.shef.ac.uk/
Nicolas Rashevsky (November 9, 1899 – January 16, 1972) was a Ukrainian - American theoretical biologist who pioneered mathematical biology , and is also considered the father of mathematical biophysics and theoretical biology. [ 1 ] [ 2 ] [ 3 ] [ 4 ] [ 5 ] [ edit ] Academic career He studied theoretical physics at the University of Kiev in Russia before 1917, and immigrated first to Turkey , Poland , France , and then to the US in 1924 because of the October revolution . In USA he worked at first for the Westinghouse Research Labs in Pittsburgh where he focused on the theoretical physics modeling of the cell division and the mathematics of cell fission, a subject that was anecdotally said to have attracted fission-related defense interests.

Nicolas Rashevsky - Wikipedia, the free encyclopedia

Robert Rosen (theoretical biologist) - Wikipedia, the free encyclopedia

See also arts and entertainment celebrity producer-writer-performer: Robert M. Rosen , Robert Ozn Robert Rosen (June 27, 1934 - December 28, 1998) was an American theoretical biologist and Professor of Biophysics at Dalhousie University . [ 1 ]
Sponsored by the American Society for Microbiology and located at MicrobeWorld are three podcasts hosted and produced by Vincent Racaniello , a professor of microbiology at Columbia University. These podcasts are generally aimed at students and professionals in the respective areas, but are also informative and entertaining for any astute listener: by Tim Gwinn ~ May 12th, 2012

Panmere

More Than Life Itself: A Synthetic Continuation in Relational Biology (Categories) (Volume 1) (9783868380446): A. Louie: Books

A. H. Louie's More Than Life Itself is an exploratory journey in relational biology, a study of life in terms of the organization of entailment relations in living systems. This book represents a synergy of the mathematical theories of categories, lattices, and modelling, and the result is a synthetic biology that provides a characterization of life.