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Topic: Cell mathematics

	Station Information - Cell (mathematics)
		A cell is a three-dimensional object that is part of a higher-dimensional object, such as a polychoron.
		A cell is related to higher-dimensional objects in the way that a face, or two-dimensional polygon, is related to higher-dimensional objects.
		For example, a cell is to a 4-dimensional polytope, or polychoron, what a face is to a 3-dimensional polytope, or polyhedron.
	www.stationinformation.com /encyclopedia/c/ce/cell__mathematics_.html (67 words)

	24-cell - Wikipedia, the free encyclopedia
		The boundary of the 24-cell is composed of 24 octahedral cells with six meeting at each vertex.
		Two of the octahedral cells, the nearest and farther from the viewer along the W-axis, project onto an octahedron whose vertices lie at the center of the cuboctahedron's square faces.
		Surrounding this central octahedron lie the projections of 16 other cells, having 8 pairs that each project to one of the 8 volumes lying between a triangular face of the central octahedron and the closest triangular face of the cuboctahedron.
	www.wikipedia.org /wiki/24-cell (718 words)

	Biological cell: Definition and Links by Encyclopedian.com - All about Biological cell
		Membranes, which separate the cell form its environment, work as a filter, and act as a communication relay with the outside.
		Organisms vary from single cells which survive individually, through colonial forms with multiple similar cells living together, to multicellular forms in which cells are specialized and do not generally survive if separated.
		The plasma membrane (a phospholipid bilayer) separates the interior of the cell from its environment and serves as a filter and communications beacon.
	www.encyclopedian.com /bi/Biological-cell.html (578 words)

	Cell (mathematics) (Site not responding. Last check: 2007-10-21)
		A cell is a three- dimensional object that is part of ahigher-dimensional object, such as a polychoron.
		A cell is related tohigher-dimensional objects in the way that a face, or two-dimensional polygon, isrelated to higher-dimensional objects.
		For example, a cell is to a 4-dimensional polytope, or polychoron, what a face is to a3-dimensional polytope, or polyhedron.
	www.therfcc.org /cell-mathematics--144956.html (73 words)

	In Silico Virtual Experiments
		This is precisely the aim of the Silicon Cell Consortium Amsterdam, a cooperation of the Institute for Molecular Biological Sciences (IMBS) of the Vrije Universiteit in Amsterdam, the Swammerdam Institute for Life Sciences (SILS) and the Section Computational Science (SCS) of the University of Amsterdam, and CWI.
		Mathematically speaking this research adds to a continuum-discrete hybrid model where discrete, moving and deformable objects, in which biochemical reactions take place, exchange species with the surrounding environment modelled as a continuum.
		The dynamic heterogeneity of the living cell and the flexibility of the simplification techniques imply that the degree and type of simplification will vary in space and time, thus placing further constraints on the integration.
	www.ercim.org /publication/Ercim_News/enw60/blom.html (722 words)

	Saint Flour
		Cell population processes can be modelled as differential equations, difference equations or functional equations in population state spaces.
		The transit of proliferating cells to quiescence or the recruitment of quiescent cells to cycling can be modelled as dynamic processes which effect the stabilization of the cell population.
		Chemotherapy typically effects only proliferating cells and thus the recruitment of quiescent cells to cycling during therapy is of essential importance in treatment.
	www.biomatematica.it /SaintFlour1997/default.html (1222 words)

	Colorful Mathematics: Part IV
		When you place a cell phone call, the phone must send out an electronic signal which carries a digitalized version of your speech (mathematics comes into play here through the use of error correction and data compression).
		Over a period of time, as often happens in applied problems, relatively simple ways used to deal with constructing a mathematical model for the cell phone situation have been replaced by more complex approaches that are more realistic.
		When a cell phone user wishes to make a call, a frequency (or channel) must be used to carry the call.
	www.ams.org /featurecolumn/archive/colorapp5.html (684 words)

	Cell (mathematics) -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-21)
		A cell is a three- (The magnitude of something in a particular direction (especially length or width or height)) dimensional object that is part of a higher-dimensional
		A cell is related to higher-dimensional objects in
		For example, a cell is to a 4-dimensional polytope, or polychoron, what a
	www.absoluteastronomy.com /encyclopedia/c/ce/cell_(mathematics).htm (116 words)

	International Mathematics Olympiad
		The Bay Area Mathematical Olympiad (BAMO) is a contest for high school students sponsored jointly by the Mathematical Sciences Research Institute (MSRI), the American Institute of Mathematics (AIM), the University of California at Berkeley (UCB), and the University of San Francisco (USF).
		The Colorado Mathematical Olympiad (CMO) is the largest essay-type mathematical competition in the United States, with 600 to 1,000 participants competing annually for fine prizes.
		The Olimpíada Matemática Argentina (OMA) is the Argentinian Mathematics Olympiad.
	olympiads.win.tue.nl /imo (2157 words)

	News Release - An intelligent combination of mathematics and cell biology could spell the death to brain tumours
		For this to occur, cells take part in a cycle of activity, in which they first produce new copies of the genetic information, then check that the copies have no errors, before finally splitting the cell into two.
		But if the therapy is given when cells are in the repair phase of their cycle, they will simply sort out the damage and carry on growing.
		The new mathematical model is enabling the team to calculate the best time intervals to leave between doses of radiation, so that the maximum number of cells are caught at a time when they can't repair the damage.
	www.surrey.ac.uk /news/releases/02-0123brain_tumours.html (592 words)

	RESUME Contract nr ERBFMMACT980483 (Site not responding. Last check: 2007-10-21)
		The importance of mathematical models for these disciplines lies not only in the possibility they offer to obtain numerical answers, but also in the depth of understanding that their qualitative study has for structuring further biological research.
		The goal of the school was to bring young researchers from biological disciplines and from the several mathematical specialties together, describing a wide range of applications and methods and fostering an atmosphere of dialogue and exchange of problems and solutions.
		The mathematical concept of coalescence was expounded and several aspects of the theory of branching processes were presented in detail.
	www.cordis.lu /tmr/src/res980483.htm (1073 words)

	UW-Madison Mathematics Probability Seminar (Site not responding. Last check: 2007-10-21)
		Folate and methionine metabolism, a small part of cell biochemistry, is crucial for cell replication and DNA methylation.
		A collaborative mathematical modeling project (with Cornelia Ulrich of the Fred Hutchinson Cancer Research Institute and Fred Nijhout of the Duke Department of Biology) has the goal of understanding the quantitative and qualitative emergent properties of the whole biochemical network.
		I will state a mathematical problem that is inspired by a practical and scientific question of which objects have "efficient" membranes.
	www.math.wisc.edu /~swanson/probsem.html (934 words)

	Main Projects
		A VCMDL (Virtual Cell Mathematics Description Language) has been defined to help implement user-defined reactions that are then converted to C++ code, both deterministic and stochastic processes are available.
		The cell is modelled metabolically by providing glucose and identifying all relevant metabolic pathways - defining the kinetic equations and parameters, including stochastic processes such as binding of transcriptional factors.
		In Silico Cell has been used to produce models of cardiac myocytes and epithelium by putting together up to 300 metabolites.
	www.staff.ncl.ac.uk /daryl.shanley/VirtualCellOverview.htm (901 words)

	Encyclopedia: Cell (mathematics)
		Dimension (from Latin measured out) is, in essence, the number of degrees of freedom available for movement in a space.
		In mathematics, there are three related meanings of the term polyhedron: in the traditional meaning it is a 3-dimensional polytope, and in a newer meaning that exists alongside the older one it is a bounded or unbounded generalization of a polytope of any dimension.
		Click for other authoritative sources for this topic (summarised at Factbites.com).
	www.nationmaster.com /encyclopedia/Cell-(mathematics) (284 words)

	Voronoi Cell Problem
		Suppose S is a satured packing of the plane by unit circles, and V is the partitioning of the plane into Voronoi Cells about the centers of the circles.
		By the construction methods of Voronoi Cells, and the fact that the packing of the plane is saturated, all of the conditions of Lemma 1 are met.
		Since 11 has been shown to be both an upper and lower bound on the number of circles which may situated about a central circle in a saturated packing such that each circle contributes a side to the Voronoi Cell about the central circle, the answer to the Question is 11.
	www.ericharshbarger.org /voronoi.html (2107 words)

	Cell (mathematics) - Encyclopedia, History, Geography and Biography (Site not responding. Last check: 2007-10-21)
		Cell (mathematics) - Encyclopedia, History, Geography and Biography
		This page was last modified 19:05, 23 May 2005.
		This encyclopedia, history, geography and biography article about Cell (mathematics) contains research on
	www.arikah.net /encyclopedia/Cell_%28mathematics%29 (113 words)

	cell - OneLook Dictionary Search
		noun: (biology) the basic structural and functional unit of all organisms; cells may exist as independent units of life (as in monads) or may form colonies or tissues as in higher plants and animals
		Phrases that include cell: fuel cell, germ cell, b cell, cell membrane, somatic cell, more...
		Words similar to cell: cadre, celling, cubicle, cubbyhole, electric cell, jail cell, prison cell, more...
	www.onelook.com /cgi-bin/cgiwrap/bware/dofind.cgi?word=cell (582 words)

	Amazon.co.uk: Computational Cell Biology: v. 20 (Interdisciplinary Applied Mathematics): Books (Site not responding. Last check: 2007-10-21)
		Selected biological examples are used to motivate concepts and techniques used in computational cell biology through a progression of increasingly more complex cellular functions modeled with increasingly complex mathematical and computational techniques.
		Appendices containing mathematical and computational techniques are provided as a reference tool.
		Advanced undergraduate and graduate theoretical biologists, and mathematics students and researchers who wish to learn about modeling in cell biology will find this book useful.
	www.amazon.co.uk /exec/obidos/ASIN/0387953698 (510 words)

	cell - OneLook Dictionary Search
		CELL : 1911 edition of the Encyclopedia Britannica [home, info]
		Cell : eyefortransport e-commerce transportation glossary [home, info]
		Cell : Ethics, Law and Science of Using New Genetic Technology in Medicine and Agriculture [home, info]
	onelook.com /?w=cell&ls=a (582 words)

	NYU team develops enhanced algorithm for detecting changes in cancer genomes
		The algorithm, published in the latest issue of the Proceedings of the National Academy of Sciences (PNAS), can also be applied to the multiple biomedical technologies (e.g., different kinds of micro-arrays) used to analyze cancer patients' genomes.
		Its application reveals several excess as well as missing copies of DNA segments associated with various forms of cancer and ultimately, points to locations of both oncogenes and tumor suppressor genes.
		An earlier version of the algorithm as well as several other competing algorithms were capable of dealing with only cancer data or only polymorphism data and were unable to separate variations in cancerous and non-cancerous genes in a single framework.
	www.eurekalert.org /pub_releases/2004-11/nyu-ntd110804.php (342 words)

	Study shows how consensus is attained in a noisy world
		The Northwestern study also clarifies how social norms might quickly be adopted and remain ingrained within society and how unicellular organisms might organize into multi-cellular structures.
		The researchers show that a simple majority rule approach, in which each unit -- a person or a cell -- adopts the state of the majority of its neighbors within an intricate communication network, can efficiently lead to global organization.
		The model is adaptable and robust -- a real-world system capable of responding to external conditions.
	www.eurekalert.org /pub_releases/2004-08/nu-ssh080404.php (443 words)

	MathMaster
		It teaches in a way that textbooks just can't match.
		Students can learn at their own pace, more advanced students (and educators) can create pages and lessons for other students, while in the process furthering their own mathematical understanding.
		MathMaster helps people learn mathematics, and at the same time it can turn eager students into knowledgeable teachers.
	www.mathmaster.info (74 words)

	Measure polytope - Enpsychlopedia (Site not responding. Last check: 2007-10-21)
		A measure polytope is one of the few families of regular polytopes that is represented in any number of dimensions.
		A measure polytope of dimension n has 2n "sides" (a 1-dimensional line has 2 end points; a 2-dimensional square has 4 sides or edges; a 3-dimensional cube has 6 faces; a 4-dimensional tesseract has 8 cells).
		The number of vertices (points) of a measure polytope is 2
	www.grohol.com /psypsych/Measure_polytope (350 words)

	Amazon.ca: Books: Forage Cell Wall Structure and Digestibility (Site not responding. Last check: 2007-10-21)
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	www.amazon.ca /exec/obidos/ASIN/0891181156/medfools01-20 (130 words)

	Amazon.com: Mathematics of Cell Electrophysiology (Lecture Notes in Pure and Applied Mathematics): Books: Jane ... (Site not responding. Last check: 2007-10-21)
		Amazon.com: Mathematics of Cell Electrophysiology (Lecture Notes in Pure and Applied Mathematics): Books: Jane Cronin-Scanlon
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		Mathematics of Cell Electrophysiology (Lecture Notes in Pure and Applied Mathematics) (Paperback)
	www.amazon.com /exec/obidos/ASIN/0824711572/worldvu (390 words)

	Phospholipid Bilayers Physical Principles and Models Cell Biology A Series of Monographs Vol 5 Gregor Cevc Derek Marsh ... (Site not responding. Last check: 2007-10-21)
		Phospholipid Bilayers Physical Principles and Models Cell Biology A Series of Monographs Vol 5 Gregor Cevc Derek Marsh McGraw Hill Mathematics Level 3 - Phospholipid Bilayers Physical Principles and Models Cell Biology A Series of Monographs Vol 5
		Phospholipid Bilayers Physical Principles and Models Cell Biology A Series of Monographs Vol 5 by Gregor Cevc Derek Marsh
		Phospholipid Bilayers Physical Principles and Models Cell Biology A Series of Monographs Vol 5
	www.qualitypaperback.com /Gregor_Cevc_Derek_Marsh_book_Phospholipid_Bilayers_Physical_Principles_and_Models_Cell_Biology_A_Series_of_Monographs_Vol_5.html (267 words)

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		Dynamics of Cell and Tissue Motion (Mathematics and Biosciences in Interaction) ISBN: 0817657819
		Dynamics of Cell and Tissue Motion (Mathematics and Biosciences in Interaction)
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	www.bookhead.co.uk /0817657819.aspx (69 words)

	Amazon.com: Animal Cell Technology: Products of Today, Prospects for Tomorrow (ESACT Proceedings): Books: R. E. ... (Site not responding. Last check: 2007-10-21)
		Amazon.com: Animal Cell Technology: Products of Today, Prospects for Tomorrow (ESACT Proceedings): Books: R. Spier,J. Griffiths,W. Berthold
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	pdxbooks.com /send/s1/0750618450 (233 words)

	Amazon.co.uk: Forage Cell Wall Structure and Digestibility: Books (Site not responding. Last check: 2007-10-21)
		Amazon.co.uk: Forage Cell Wall Structure and Digestibility: Books
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		Subjects > Scientific, Technical & Medical > Biology > Cellular Biology > Cell Structure
	www.amazon.co.uk /exec/obidos/ASIN/0891181156 (226 words)

	Proceedings of Symposia in Applied Mathematics: Am Introduction to Mathematical Modeling in Physiology, Cell Biology ... (Site not responding. Last check: 2007-10-21)
		Book / Proceedings of Symposia in Applied Mathematics: Am Introduction to Mathematical Modeling in Physiology, Cell Biology and Immunology.
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		Mathematics of Cell Electrophysiology (Lecture Notes in Pure andamp; Applied Mathematics) Jane Cronin-scanlon ISBN: 0824711572
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	www.bookhead.co.uk /0824711572.aspx (80 words)

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