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fractal

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Quantitative Evaluation and Modeling of Two-Dimensional Neovascular Network Complexity: The Surface Fractal Dimension
This paper introduces the surface fractal dimension Ds as a numerical index of the two-dimensional (2-D) geometrical complexity of tumor vascular networks, and their behavior during computer-simulated changes in vessel density and distribution. Modeling the complex development and growth of tumor angiogenesis using mathematics and biological data is a burgeoning...
Tags: Research & Development, BioMed Central, fractal, modeling, 2D, network, computer
White papers 2005-02-08
Identification of Hip Fracture Patients From Radiographs Using Fourier Analysis of the Trabecular Structure: A Cross-Sectional Study
This white paper study presents an analysis of trabecular bone structure in standard radiographs using Fourier transforms and principal components analysis PCA to identify contributions to hip fracture risk. Both PCA and fractal analysis of the FFT data could discriminate successfully between the fracture and control groups, although PCA was...
Tags: BioMed Central, fracture, fractal, patient, analysis, tool
White papers 2004-10-06

Additional Resources

Statistical physics of fields
Statistical physics of fields. Kardar, Mehran. Cambridge U. Pr. 2007 359 pages $125.00 Hardcover QC173 Kardar, who has taught a statistical physics of fields course at MIT for the last 20 years, has finally...
Articles 2008-06-01
Chinese mathematicians; proceedings; 2v
Chinese mathematicians; proceedings; 2v. International Congress of Chinese Mathematicians (3d: 2004: Hong Kong, China) Ed. by Ka-Sing Lau et al. American Mathematical Society 2008 874 pages $159.00 Paperback AMS/IP studies in advanced mathematics; v.42 ...
Articles 2008-06-01
Discovering patterns in mathematics and poetry
Discovering patterns in mathematics and poetry. Birken, Marcia and Anne C. Coon. Editions Rodopi 2008 213 pages $65.00 Paperback Internationale forschungen zur allgemeinen und vergleichenden literaturwissenschaft; 116 QA11 Long-time collaborators Birken (emeritus,...
Articles 2008-06-01
Portland developer brings chaos theory to Pearl District
Patrick Kessi has taken an asymmetrical route to development. His first major project, the fast-developing 937 Condominiums in the heart of Portland's Pearl District, represents an asymmetrical development for the assiduously planned neighborhood. The design of the 16-story, 114-unit condo tower that's squeezed on two sides by...
Articles 2008-05-14
Squaring the circle; geometry in art and architecture
Squaring the circle; geometry in art and architecture. Calter, Paul. Key College Publishing 2008 524 pages $89.95 Paperback N8217 The word "textbook" doesn't do justice to this fascinating study of geometry in Western art....
Articles 2008-05-01
Making Mathematics with Needlework
MAKING MATHEMATICS WITH NEEDLEWORK SARAH-MARIE BELCASTRO AND CAROLYN YACKEL, EDS. Math and crafts are two words not often spoken together. Belcastro and Yackel aim to change that with the first book to combine mathematical ideas with instructions for fabric arts projects that make abstract math problems tangible. The...
Articles 2008-03-15
In search of the Reimann zeros; strings, fractal membranes, and noncommutative spacetimes
In search of the Reimann zeros; strings, fractal membranes, and noncommutative spacetimes. Lapidus, Michel L. American Mathematical Society 2008 558 pages $79.00 Hardcover QA333 The Riemann hypothesis, first formulated by Bernhard Riemann in 1859,...
Articles 2008-03-01
Multiscale analysis of complex time series; integration of chaos and random fractal theory, and beyond
Multiscale analysis of complex time series; integration of chaos and random fractal theory, and beyond. Ed. by Jianbo Gao et al. Wiley-Interscience 2007 352 pages $85.00 Hardcover QA280 The authors (of the U. of...
Articles 2008-03-01
Fractal Antenna Systems' Small, Wall-Mounted In-Building Wireless Antenna Delivers Wideband Performance and Solves Installation Issues
Fractal Antenna Systems, Inc. today announced anew Universal AccessTM Surface Mounted UASM Antenna delivering widebandperformance in a thin, compact unit for distributed antenna applications.The UASM Antenna's form factor solves a number of installation issues forintegrators, including the ability to mount to walls and other hardsurfaces that prevent the use of...
Articles 2008-02-27
VHF Coverage Added to Popular In-Building Wireless Antenna From Fractal Antenna Systems
Fractal Antenna Systems, Inc. today announcedthe addition of VHF frequencies to its popular Universal AccessTM CeilingMonopole UACM Antenna. The UACM Antenna delivers wideband performance inone of the most compact (11.8" by 4.6 inches) units available fordistributed antenna applications. For developers adding in-buildingwireless systems, VHF coverage provides a key...
Articles 2008-02-27
Galaxy IT Applies Fractal-Grid Technology to Visually Organize the Internet
Application first of its kind to display massive amounts of information in visual and organized way FRESNO, Calif. -- Galaxy IT, a company committed to presenting information in a visual and organized way, today launched its new software application. The technology provides Internet users with a unique approach...
Articles 2008-01-22
TMMI Showcases TruDef High Definition Fractal Video Codec Capabilities
TMM Inc. (PINKSHEETS: TMMI) is pleased toannounce that it has made the first publicly viewable examples of itspreviously announced enhanced TruDef high definition fractal video codecavailable on its updated website http://www.tmmi.us . Frame captures showcase TruDef's remarkable clarity after compressing rawsource video witha ratio of 160:1, and its ability...
Articles 2008-01-03
TMMI Announces Completion of Deal to Acquire TruDef Fractal Video Codec Enhancements
TMM Inc. (PINKSHEETS: TMMI) announced todaythat it has completed negotiations with Tom Simpson and the principals ofDigital Focus Inc., and their company doing business as TruDef Industries,to acquire all of their rights to enhancement work done of the TMMI fractalvideo codec developed in the 1990s. The codec had been modified...
Articles 2007-12-21
TMMI Spotlights TruDef HD Fractal Video Codec Capabilities
Wireless News12-07-2007TMMI Spotlights TruDef HD Fractal Video Codec CapabilitiesWIRELESS NEWS-December 7, 2008-TMMI Spotlights TruDef HD Fractal Video Codec Capabilities C2008 10Meters - http://www.10meters.com TMM announced that it has made the first publicly viewable examples of its previously announced enhanced TruDef high definition fractal video codec available on its updated...
Articles 2007-12-07
Research and Markets: Multiscale Analysis of Complex Time Series: Integration of Chaos and Random Fractal Theory, and Beyond Report Now Available
DUBLIN, Ireland -- Research and Markets (http://www.researchandmarkets.com/reports/c74440) has announced the addition of "Multiscale Analysis of Complex Time Series : Integration of Chaos and Random Fractal Theory, and Beyond" to their offering. Integrating chaos and random fractal theory and going beyond has proven to be so much harder than...
Articles 2007-11-15
Evaluation and Control Principle of the Crepe Effect on Fabrics*
Abstract Fabrics made up of both raw silk and other fibers can form a kind of peculiar visual texture, which is know as the crepe effect, on fabric surfaces. However, the level of crepe is difficult to control. We put forward a method using image analysis and fractal geometry...
Articles 2007-10-01
Fractal Antenna Awarded Broad Patent for Fractal Electronics
BEDFORD, Mass. -- Fractal Antenna Systems, Inc., the pioneering innovator of fractal antenna technology, today announced the issuance of its 13th patent. The new patent (USP 7,256,751) extends the firm's base into the fast-growing field of fractal electronics and defines the IP foundation for the new field. Fractals...
Articles 2007-09-12
Effect of Ions on the Organization of Phosphatidylcholine/Phosphatidic Acid Bilayers
ABSTRACT Lipid bilayers are two-dimensional fluids. Here, the effect of monovalent ion concentration on the mixing, and consequently the organization, of 1,2-dioleoyl-sn-glycero-3-phosphocholine DOPC/1,2-dioleoyl-sn-glycero-3-phosphate DOPA bilayers has been examined. Epifluorescence microscopy was used to visualize the organization. Fluorescence recovery after photobleaching and attenuated total reflection-Fourier transform infrared spectroscopy were used...
Articles 2007-09-01
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