Fractals in Biology and Medicine

Author: Gabriele A. Losa,Danilo Merlini,Theo F. Nonnenmacher,Ewald R. Weibel

Publisher: Springer Science & Business Media

ISBN: 3764374128

Category: Mathematics

Page: 314

View: 5975

This volume is number four in a series of proceedings volumes from the International Symposia on Fractals in Biology and Medicine in Ascona, Switzerland which have been inspired by the work of Benoît Mandelbrot seeking to extend the concepts towards the life sciences. It highlights the potential that fractal geometry offers for elucidating and explaining the complex make-up of cells, tissues and biological organisms either in normal or in pathological conditions.

Fractals in Biology and Medicine

Author: G. Losa,T. Nonnenmacher,D. Merlini,Ewald R. Weibel

Publisher: Birkhäuser

ISBN: 3034889364

Category: Science

Page: 374

View: 9328

"Fractals in Biology and Medicine, Volume 2" explores the potential of the fractal geometry in understanding how to analyse natural shapes. The volume devotes special emphasis to the complex field of human tumours.

Fractals in Biology and Medicine

Author: Theo F. Nonnenmacher,Gabriele A. Losa,Ewald R. Weibel

Publisher: Birkhäuser

ISBN: 9783764329891

Category: Science

Page: 397

View: 8495

"Fractals in Biology and Medicine" explores the potential of fractal geometry for describing and understanding biological organisms, their development and growth as well as their structural design and functional properties. It extends these notions to assess changes associated with disease in the hope to contribute to the understanding of pathogenetic processes in medicine. The book is the first comprehensive presentation of the importance of the new concept of fractal geometry for biological and medical sciences. It collates in a logical sequence extended papers based on invited lectures and free communications presented at a symposium in Ascona, Switzerland, attended by leading scientists in this field, among them the originator of fractal geometry, Benoit Mandelbrot. "Fractals in Biology and Medicine" begins by asking how the theoretical construct of fractal geometry can be applied to biomedical sciences and then addresses the role of fractals in the design and morphogenesis of biological organisms as well as in molecular and cell biology. The consideration of fractal structure in understanding metabolic functions and pathological changes is a particularly promising avenue for future research.

Die Mathe-Wichtel Band 1

Humorvolle Aufgaben mit Lösungen für mathematisches Entdecken ab der Grundschule

Author: Stephanie Schiemann,Robert Wöstenfeld

Publisher: Springer-Verlag

ISBN: 3658138874

Category: Science

Page: 137

View: 5380

Die Mathe-Wichtel stammen aus dem Schülerwettbewerb der Deutschen Mathematiker-Vereinigung (DMV), bekannt als „Mathe im Advent“. Für dieses Buch wurden die schönsten Aufgaben der letzten Jahre ausgewählt und umfassend überarbeitet. Sie geben auf humorvolle Art einen Einblick in die wunderbare Vielfalt der Mathematik, fördern den mathematischen Entdeckungsdrang und das kreative Weiterdenken auf spielerische Weise. So erweitern sie das in der Schule vermittelte Bild der Mathematik und begeistern selbst diejenigen, die mit ihr bisher auf Kriegsfuß standen. Die 2. Auflage enthält zusätzliche aktuelle Aufgaben aus „Mathe im Advent“, erweiterte Lösungstexte, neue Aufgaben zum Weiterdenken und weiterführende Tipps für Lehrer(innen) zum Einsatz in der Schule oder Lehrerausbildung. Für Schülerinnen und Schüler ab der Grundschule (insbesondere Klassen 4 bis 6), Eltern, Mathematiklehrer(innen) und allgemein für alle an Mathematik und Problemlösen interessierte Laien.

Zauber der Mineralien und Gesteine

Author: Dirk Siersma

Publisher: Springer

ISBN: 9783642623851

Category: Science

Page: 160

View: 5714

Zauber der Mineralien und Gesteine ist ein Buch mit 135 großartigen Farbfotografien, die ein breites Spektrum umfassen. Dies reicht von Darstellungen ausgedehnter Gesteinsvorkommen in Europa, Amerika, Australien und Island bis hin zu Detailaufnahmen von wenigen Quadratmillimetern Größe. Fotografien von Kristallen, Edelsteinen und Fossilien wechseln ab mit Abbildungen feinster Strukturen und Muster aus dünnen, durchsichtigen Scheiben von Gesteinen und Mineralien. Der Fotograf Dirk Wiersma führt den Leser in verschiedene Räume mit überraschenden neuen Formen und Perspektiven, manchmal abstrakt, manchmal (pseudo)realistisch. Häufig ergeben sich Gemeinsamkeiten zwischen Objekten völlig unterschiedlicher Herkunft und Dimension. Der kurze begleitende Text ist allgemeinverständlich abgefasst und enthält alle notwendigen Hintergrundinformationen.

Understanding Nonlinear Dynamics

Author: Daniel Kaplan,Leon Glass

Publisher: Springer Science & Business Media

ISBN: 9780387944401

Category: Mathematics

Page: 420

View: 7931

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics ( TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. About the Authors Daniel Kaplan specializes in the analysis of data using techniques motivated by nonlinear dynamics. His primary interest is in the interpretation of irregular physiological rhythms, but the methods he has developed have been used in geo physics, economics, marine ecology, and other fields. He joined McGill in 1991, after receiving his Ph.D from Harvard University and working at MIT. His un dergraduate studies were completed at Swarthmore College. He has worked with several instrumentation companies to develop novel types of medical monitors.

Funktionelle Ultrastruktur

Atlas der Biologie und Pathologie von Geweben

Author: Margit Pavelka,Jürgen Roth

Publisher: Springer-Verlag

ISBN: 3211308261

Category: Science

Page: 334

View: 4702

Mit dem Blick auf die Feinstrukturen werden die Innenräume der Zellen und ihre Architekturen in der höheren Organisation der Gewebe lebendig. Die Autoren geben mit diesem Atlas der funktionellen Ultrastruktur Einblick in die komplexe zelluläre Innenwelt mit ihren vielgestaltigen Funktionsräumen, sowie in dynamische Funktionsabläufe, die für die Erfüllung der zellulären Aufgaben im Gewebe notwendig sind. Das besondere Anliegen besteht darin, dem Leser bewusst zu machen, dass es sich hier um diejenigen Strukturen handelt, in denen sich grundlegende zelluläre Lebensvorgänge und krankmachende Mechanismen abspielen. An Hand elektronenmikroskopischer Bilder, ergänzt durch Immunelektronenmikroskopie und ausführlicher Beschreibung werden in den Zellen die Beziehungen zwischen Strukturen und Funktionen aufgerollt, Details herausgearbeitet und die Organisation in den Zellverbänden der Gewebe präsentiert. Das Buch wendet sich an Medizin- und Naturwissenschaftsstudenten, Ärzte, Biologen, Zell- und Molekularbiologen.

Fractals and Chaos Simplified for the Life Sciences

Author: Larry S. Liebovitch

Publisher: OUP USA

ISBN: N.A

Category: Science

Page: 284

View: 383

There is a growing interest on the part of undergraduate and graduate students and investigators in applying fractals and chaos (nonlinear dynamics) to a variety of problems in biology and medicine. This book explains fractals and chaos and illustrates their use with examples from biomedical research. The author presents the material in a unique style that doesn't require a strong background in mathematics. The ideas are presented in a straightforward way without technical jargon. One concept at a time is explained in a set of facing pages, with text on the left page and graphics on the right page. The graphics pages can be copied directly on to transparencies for teaching.

Computational Science and Its Applications - ICCSA 2004

International Conference, Assisi, Italy, May 14-17, 2004, Proceedings

Author: Antonio Laganà,Marina L. Gavrilova,Vipin Kumar,Youngsong Mun,C.J. Kenneth Tan,Osvaldo Gervasi

Publisher: Springer Science & Business Media

ISBN: 3540220577

Category: Computers

Page: 1044

View: 4382

The natural mission of Computational Science is to tackle all sorts of human problems and to work out intelligent automata aimed at alleviating the b- den of working out suitable tools for solving complex problems. For this reason ComputationalScience,thoughoriginatingfromtheneedtosolvethemostch- lenging problems in science and engineering (computational science is the key player in the ?ght to gain fundamental advances in astronomy, biology, che- stry, environmental science, physics and several other scienti?c and engineering disciplines) is increasingly turning its attention to all ?elds of human activity. In all activities, in fact, intensive computation, information handling, kn- ledge synthesis, the use of ad-hoc devices, etc. increasingly need to be exploited and coordinated regardless of the location of both the users and the (various and heterogeneous) computing platforms. As a result the key to understanding the explosive growth of this discipline lies in two adjectives that more and more appropriately refer to Computational Science and its applications: interoperable and ubiquitous. Numerous examples of ubiquitous and interoperable tools and applicationsaregiveninthepresentfourLNCSvolumescontainingthecontri- tions delivered at the 2004 International Conference on Computational Science and its Applications (ICCSA 2004) held in Assisi, Italy, May 14–17, 2004.

Mathematical Physics and Stochastic Analysis

Essays in Honour of Ludwig Streit

Author: Sergio Albeverio

Publisher: World Scientific

ISBN: 9789810244408

Category: Science

Page: 438

View: 4879

In October 1998 a conference was held in Lisbon to celebrate Ludwig Streit's 60th birthday. This book collects some of the papers presented at the conference as well as other essays contributed by the many friends and collaborators who wanted to honor Ludwig Streit's scientific career and personality.The contributions cover many aspects of contemporary mathematical physics. Of particular importance are new results on infinite-dimensional stochastic analysis and its applications to a wide range of physical domains.List of Contributors: S Albeverio, T Hida, L Accardi, I Ya Aref'eva, I V Volovich; A Daletskii, Y Kondratiev, W Karwowski, N Asai, I Kubo, H-H Kuo, J Beckers, Ph Blanchard, G F Dell'Antonio, D Gandolfo, M Sirugue-Collin, A Bohm, H Kaldass, D Boll‚, G Jongen, G M Shim, J Bornales, C C Bernido, M V Carpio-Bernido, G Burdet, Ph Combe, H Nencka, P Cartier, C DeWitt-Morette, H Ezawa, K Nakamura, K Watanabe, Y Yamanaka, R Figari, F Gesztesy, H Holden, R Gielerak, G A Goldin, Z Haba, M-O Hongler, Y Hu, B Oksendal, A Sulem, J R Klauder, C B Lang, V I Man'ko, H Ouerdiane, J Potthoff, E Smajlovic, M R”ckner, E Scacciatelli, J L Silva, J Stochel, F H Szafraniec, L V zquez, D N Kozakevich, S Jim‚nez, V R Vieira, P D Sacramento, R Vilela Mendes, D Voln?, P Samek.

Fractal Geometry and Stochastics III

Author: Christoph Bandt,Umberto Mosco,Martina Zähle

Publisher: Springer Science & Business Media

ISBN: 9783764370701

Category: Mathematics

Page: 262

View: 1793

This up-to-date monograph, providing an up-to-date overview of the field of Hepatitis Prevention and Treatment, includes contributions from internationally recognized experts on viral hepatitis, and covers the current state of knowledge and practice regarding the molecular biology, immunology, biochemistry, pharmacology and clinical aspects of chronic HBV and HCV infection. The book provides the latest information, with sufficient background and discussion of the literature to benefit the newcomer to the field.

Systems Biology

Author: Robert A. Meyers

Publisher: John Wiley & Sons

ISBN: 3527326073

Category: Science

Page: 710

View: 6418

Systems biology is a relatively new biological study field that focuses on the systematic study of complex interactions in biological systems, thus using a new perspective (integration instead of reduction) to study them. Particularly from year 2000 onwards, the term is used widely in the biosciences, and in a variety of contexts. Systems biology is the study of the interconnected aspect of molecular, cellular, tissue, whole animal and ecological processes, and comprises mathematical and mechanistic studies of dynamical, mesoscopic, open, spatiotemporally defined, nonlinear, complex systems that are far from thermodynamic equilibrium.

Group Theory

Author: Helmut Wielandt

Publisher: Walter de Gruyter

ISBN: 3110863383

Category: Mathematics

Page: 821

View: 6588

Fractals and Chaos

An illustrated course

Author: Paul S. Addison

Publisher: CRC Press

ISBN: 9780750304009

Category: Science

Page: 256

View: 6681

Fractals and Chaos: An Illustrated Course provides you with a practical, elementary introduction to fractal geometry and chaotic dynamics-subjects that have attracted immense interest throughout the scientific and engineering disciplines. The book may be used in part or as a whole to form an introductory course in either or both subject areas. A prominent feature of the book is the use of many illustrations to convey the concepts required for comprehension of the subject. In addition, plenty of problems are provided to test understanding. Advanced mathematics is avoided in order to provide a concise treatment and speed the reader through the subject areas. The book can be used as a text for undergraduate courses or for self-study.

Contributions to Morphometrics

Author: Leslie Floyd Marcus,Elisa Bello,Antonio García-Valdecasas

Publisher: Editorial CSIC - CSIC Press

ISBN: 9788400073534

Category: Education

Page: 264

View: 5418

Chaos in Biology and Medicine

12-13 July 1993, San Diego, California

Author: William L. Ditto

Publisher: N.A

ISBN: N.A

Category: Biological systems

Page: 334

View: 6076