Biological Motion

1. Front Matter

   Pages N2-X

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2. Introduction

   1. Introduction

      • Wolfgang Alt, Gerhard Hoffmann

      Pages 1-5

3. Motion of Cell or Body Parts

   1. Front Matter

      Pages 7-7

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   2. Intracellular Structures and Cell Shape

      1. Quantifying Cellular Shape Using Moment Invariants

         • Graham A. Dunn, Alastair F. Brown

         Pages 10-34

      2. Analysis of Leucocyte Shape Changes

         • John M. Lackie, Hansuli Keller

         Pages 35-41

      3. Images of Cells Changing Shape: Pseudopods, Skeletons and Motile Behaviour

         • Peter B. Noble

         Pages 42-67

      4. Continuity of Movement and Preservation of Architecture during Cell Locomotion

         • Jürgen Bereiter-Hahn, Norbert Braun, Monika Vöth

         Pages 68-84

      5. Periodic Contraction Waves in Cytoplasmic Extracts

         • Thomas Pohl

         Pages 85-94

      6. Motion Analysis of Intracellular Objects: Trajectories with and without Visible Tracks

         • Dieter G. Weiss, Günther Galfe, Josef Gulden, Dieter Seitz-Tutter, George M. Langford, Albrecht Struppler et al.

         Pages 95-116

      7. Centrin-Mediated Cell Motility in Eukariotic Cells

         • Michael Melkonian

         Pages 117-120

   3. Cilia and Flagella

      1. Descriptive and Mechanistic Models of Flagellar Motility

         • Charles J. Brokaw

         Pages 128-144

      2. Discrete Nature of Flagellar Bending Detected by Digital Image Analysis

         • Shoji A. Baba, Yoshihiro Mogami, Koichi Nonaka

         Pages 145-154

      3. An Approach to Quantitative Analysis and Modelling of Three-Dimensional Ciliary Motion

         • Kazuyuki Sugino

         Pages 155-168

      4. Bioelectric Control of the Ciliary Cycle

         • Hans Machemer

         Pages 169-183

      5. Ca-Mg Control of Ciliary Motion: A Quantitative Model Study

         • Yoshihiro Mogami, Hans Machemer

         Pages 184-196

   4. Motion of Body Parts: Its Generation and Control in Higher Animals

      1. Modelling the Control of Walking in Insects

         • Jeffrey Dean, Holk Cruse

         Pages 200-219

      2. Coordination of Contralateral Legs in Walking Crayfish

         • Uwe Müller

         Pages 220-227

      3. Flight Manoeuvres of Locusts

         • Wolfram Zarnack, Gabriele Reuse, Thomas Schwenne

         Pages 228-238

      4. How a Fish’s Brain May Move a Fish’s Body

         • K. Behrend

         Pages 239-249

4. Locomotion of Single Organisms

   1. Front Matter

      Pages 251-251

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" . . . behavior is not, what an organism does itself, but to what we point. Therefore, whether a type of behavior of an organism is adequate as a certain configuration of movements, will depend on the environment in which we de­ scribe it. " (Humberto Maturana, Francisco Varela: El arbol del conocimiento, 1984) "A thorough analysis of behavior must result in a scheme, that shows all regularities that are to be found between the sensorical input and the motorical output of an animal. This scheme is an abstract representation of the brain. " (Valentin Braitenberg: Gehirngespinste, 1973) During the 70ies, when Biomathematics (beyond Biomedical Statistics and Com­ puting) became more popular at universities and research institutes, the problems dealt with came mainly from the general fields of 'Population Biology' and 'Complex Systems Analysis' such as epidemics, ecosystems analysis, morphogenesis, genetics, immunology and neurology (see the first series of Springer Lecture Notes in Biomathematics). Since then, the picture has not considerably changed, and it seems that "a thorough analysis of behavior" of single organisms and, moreover, of their mutual interactions, is far from being understood. On the contrary, mathematical modellers and analysts have been well­ advised to restrict their investigations to specific aspects of 'biological behavior', one of which is 'biological motion'. Until now, only a few Conference Proceedings or Lecture Notes have paid attention to this important aspect, some of the earlier examples being Vol. 24: 'The measurement of biological shape and shape changes' (1978) or Vol.

• Invariant
• Mathematica
• calculus
• function

• Abteilung Theoretische Biologie, Universität Bonn, Bonn, Germany

  Wolfgang Alt

• Zoologisches Institut II, Universität Würzburg, Würzburg, Germany

  Gerhard Hoffmann

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