Growth Patterns in Physical Sciences and Biology

1. Front Matter

   Pages i-ix

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2. Cell Colones

   1. Fractal Growth and Morphological Change in Bacterial Colony Formation

      • Mitsugu Matsushita, Masahiro Ohgiwari, Tohey Matsuyama

      Pages 1-9

   2. Interfacial Pattern Formation in Biological Systems: Preliminary Observations During Growth of Bacterial Colonies

      • E. Ben-Jacob, H. Shmueli, O. Shochet, D. Weiss

      Pages 11-19

   3. Amoebae Aggregation in Dictyoselium Discoideum

      • Herbert Levine, William Reynolds

      Pages 21-27

   4. The Fractal Nature of Common Patterns

      • Tamás Vicsek

      Pages 29-36

3. Surface and Interfaces

   1. Study of Self-Affine Fractal Surfaces with STM

      • J. M. Gómez-Rodríguez, A. Asenjo, A. M. Baró

      Pages 37-44

   2. Dynamic Scaling in Surface Growth Phenomena

      • Fereydoon Family

      Pages 45-55

   3. MBE Growth and Surface Diffusion

      • David A. Kessler, Herbert Levine, Leonard M. Sander

      Pages 57-63

   4. Growth in Systems with Quenched Disorder

      • Mark O. Robbins, Marek Cieplak, Hong Ji, Belita Koiller, Nicos Martys

      Pages 65-75

   5. Kinetic Roughening with Algebraically Distributed Noise Amplitudes or Waiting Times

      • János Kertész

      Pages 77-84

   6. Anomalous Surface Roughening: Experiment and Models

      • S. Havlin, A.-L. Barabási, S. V. Buldyrev, C. K. Peng, M. Schwartz, H. E. Stanley et al.

      Pages 85-98

   7. Waiting-Time Formulation of Surface Growth and Mapping to Directed Polymers in a Random Medium

      • Lei-Han Tang

      Pages 99-108

   8. Scaling Far from Thermal Equilibrium

      • H. G. E. Hentschel

      Pages 109-117

   9. Discrete Potential Flow Simulation of a Premixed Flame Front

      • J. C. Antoranz, A. López-Martín, J. L. Castillo, P. L. García-Ybarra

      Pages 119-126

   10. Fractal Landscapes in Physics and Biology

       • H. E. Stanley, S. V. Buldyrev, F. Caserta, G. Daccord, W. Eldred, A. Goldberger et al.

       Pages 127-136

   11. Interface Kinetics and Oscillatory Growth in Directional Solidification of Binary Mixtures

       • B. Caroli, C. Caroli

       Pages 137-141

   12. Locally Interacting Cell Systems as Models for Carcinogenesis

       • Petre Tautu

       Pages 143-152

4. Difussion Limited Aggregation, Viscous Fingering and Future

   1. Ionic Concentration and Electric Field in Fractal Electrodeposition

      • M. Rosso, V. Fleury, J.-N. Chazalviel, B. Sapoval

      Pages 153-161

   2. Properties of the Morphologies Envelope in a Diffusion Limited Growth

      • O. Shochet, R. Kupferman, E. Ben-Jacob

      Pages 163-171

   3. Growth Patterns in Zinc Electrodeposition

      • Francesc Sagués, Francesc Mas, Josep Claret, Pedro P. Trigueros, Laura López-Tomàs

      Pages 173-182

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.

• Colon
• biology
• cells
• development
• growth

• CSIC-Universidad de Granada, Granada, Spain

  Juan Manuel Garcia-Ruiz

• Universidad de Alicante, Alicante, Spain

  Enrique Louis

• University of Oslo, Oslo, Norway

  Paul Meakin

• University of Michigan, Ann Arbor, USA

  Leonard M. Sander

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