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Growth Patterns in Physical Sciences and Biology

  • Juan Manuel Garcia-Ruiz
  • Enrique Louis
  • Paul Meakin
  • Leonard M. Sander

Part of the NATO ASI Series book series (NSSB, volume 304)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Cell Colones

    1. Mitsugu Matsushita, Masahiro Ohgiwari, Tohey Matsuyama
      Pages 1-9
    2. Herbert Levine, William Reynolds
      Pages 21-27
    3. Tamás Vicsek
      Pages 29-36
  3. Surface and Interfaces

    1. J. M. Gómez-Rodríguez, A. Asenjo, A. M. Baró
      Pages 37-44
    2. Fereydoon Family
      Pages 45-55
    3. David A. Kessler, Herbert Levine, Leonard M. Sander
      Pages 57-63
    4. Mark O. Robbins, Marek Cieplak, Hong Ji, Belita Koiller, Nicos Martys
      Pages 65-75
    5. S. Havlin, A.-L. Barabási, S. V. Buldyrev, C. K. Peng, M. Schwartz, H. E. Stanley et al.
      Pages 85-98
    6. H. G. E. Hentschel
      Pages 109-117
    7. J. C. Antoranz, A. López-Martín, J. L. Castillo, P. L. García-Ybarra
      Pages 119-126
    8. H. E. Stanley, S. V. Buldyrev, F. Caserta, G. Daccord, W. Eldred, A. Goldberger et al.
      Pages 127-136
  4. Difussion Limited Aggregation, Viscous Fingering and Future

    1. M. Rosso, V. Fleury, J.-N. Chazalviel, B. Sapoval
      Pages 153-161
    2. O. Shochet, R. Kupferman, E. Ben-Jacob
      Pages 163-171
    3. Francesc Sagués, Francesc Mas, Josep Claret, Pedro P. Trigueros, Laura López-Tomàs
      Pages 173-182
    4. Juan Manuel García-Ruiz
      Pages 183-189
    5. A. Arneodo, F. Argoul, E. Bacry, J. F. Muzy, M. Tabbard
      Pages 191-202
    6. O. Pla, J. Castellá, F. Guinea, E. Louis, L. M. Sander
      Pages 203-212
    7. O. Plat, F. Guinea, E. Louis
      Pages 213-219
    8. Paul Meakin
      Pages 233-244
    9. Amnon Aharony, A. Brooks Harris
      Pages 257-265
    10. Stéphane Roux
      Pages 289-298
    11. H. J. Herrmann
      Pages 299-306
    12. J. V. Maher, H. Zhao
      Pages 307-313
  5. Cellular Patterns

    1. Humberto Terrones, Alan L. Mackay
      Pages 315-329
    2. Stéphane Douady, Yves Couder
      Pages 341-352
    3. A. Hernández-Machado, L. Ramírez-Piscina, J. M. Sancho
      Pages 353-361
  6. Dynamical Systems

  7. Self Replication

  8. Self Organization

    1. Albert Díaz-Guilera
      Pages 407-415
  9. Measurement and Characterization

    1. E. H. Dooijes, Z. R. Struzik
      Pages 417-424
  10. Back Matter
    Pages 425-429

About this book

Introduction

During the past decade interest in the formation of complex disorderly patterns far from equilibrium has grown rapidly. This interest has been stim­ ulated by the development of new approaches (based primarily on fractal geometry) to the quantitative description of complex structures, increased understanding of non-linear phenomena and the introduction of a variety of models (such as the diffusion-limited aggregation model) that provide paradigms for non-equilibrium growth phenomena. Advances in computer technology have played a crucial role in both the experimental and theoret­ ical aspects of this enterprise. Substantial progress has been made towards the development of comprehensive understanding of non-equilibrium growth phenomena but most of our current understanding is based on simple com­ puter models. Pattern formation processes are important in almost all areas of science and technology, and, clearly, pattern growth pervades biology. Very often remarkably similar patterns are found in quite diverse systems. In some case (dielectric breakdown, electrodeposition, fluid-fluid displacement in porous media, dissolution patterns and random dendritic growth for example) the underlying causes of this similarity is quite well understood. In other cases (vascular trees, nerve cells and river networks for example) we do not yet know if a fundamental relationship exists between the mechanisms leading the formation of these structures.

Keywords

Colon biology cells development growth

Editors and affiliations

  • Juan Manuel Garcia-Ruiz
    • 1
  • Enrique Louis
    • 2
  • Paul Meakin
    • 3
  • Leonard M. Sander
    • 4
  1. 1.CSIC-Universidad de GranadaGranadaSpain
  2. 2.Universidad de AlicanteAlicanteSpain
  3. 3.University of OsloOsloNorway
  4. 4.University of MichiganAnn ArborUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-2852-4
  • Copyright Information Plenum Press, New York 1993
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-6235-7
  • Online ISBN 978-1-4615-2852-4
  • Series Print ISSN 0258-1221
  • Buy this book on publisher's site