These papers were first presented at the NATO Advanced Research Workshop 'Theoretical Models for Cell to Cell Signalling' held in Knokke-Zoute, Belgium, during September 1988. The Workshop was further supported by the Commission of the European Communities. Cover design : Geluck Suykens and Partners, after a photograph of slime mould aggregation provided by Dr P. C. Newell. The lithograph by P. Alechinsky facing p. xvi is reproduced by kind permission of the artist. Cell to Cell Signalling: From Experiments to Theoretical Models Edited by A. GOLDBETER Faculté des Sciences, Université Libre de Bruxelles, Brussels, Belgium ACADEMIC PRESS Harcourt Brace Jovanovich, Publishers London San Diego New York Berkeley Boston Sydney Tokyo Toronto This book is printed on acid-free paper. @ ACADEMIC PRESS LIMITED 24-28 Oval Road London NW1 7DX United States Edition published by ACADEMIC PRESS, INC. San Diego, CA 92101 Copyright © 1989 by ACADEMIC PRESS LIMITED All rights reserved No part of this book may be reproduced in any form by photostat, microfilm or any other means, without permission from the publishers. British Library Cataloguing in Publication Data Cell to cell signalling. 1. Organisms. Cells. Interactions 574.87'6 ISBN 0-12-287960-0 Typeset by Latimer Trend & Company Ltd, Plymouth. Printed in Great Britain by University Press, Cambridge. List of contributors* *Where a paper is by more than two authors, only the first is listed below. ADAMS, W.B.: Department of Pharmacology, Biozentrum der Universität Basel, Klingelbergstrasse 70, CH-4056 Basel, Switzerland. ALLESSIE, M.A.: Department of Physiology, Rijksuniversiteit Limburg, Biomedicai Center, P.O. Box 616, 6200 MD Maastricht, The Netherlands. ANDERSON, R.M.: Department of Pure and Applied Biology, Imperial College, London SW7 2BB, UK. BENSON, J.A.: CIBA-GEIGY Ltd., Entomology Basic Research, R-1093.P.47, CH-4002 Basel, Switzerland. BERRIDGE, M.J.: Department of Zoology, Cambridge University, Cambridge CB2 3EJ, UK. BONNER, J.T.: Department of Biology, Princeton University, Princeton, NJ 08544, USA. COOKE, J.: National Institute for Medical Research, MRC, Mill Hill, London NW7 1AA, UK. CUTHBERTSON, K.S.R.: Dept. of Human Anatomy and Cell Biology, University of Liverpool, Liverpool L69 3BX, UK. DE BOER, R. J.: Bioinformatics Group, University of Utrecht, Padualaan 8, 3584 Utrecht, The Netherlands. DEMONGEOT, J.: Service d'Informatique Médicale, Faculté de Médecine, Université de Grenoble, Domaine de la Merci, F-38700 La Tronche, France. DE REFFYE, Ph.: CIRAD, Laboratoire de Biomodélisation, Av. du Val de Montferrand, BP 5035, F-34032 Montpellier Cedex, France. DEVREOTES, P.N.: Department of Biological Chemistry, Johns Hopkins University, 725 N. Wolfe Street, Baltimore, MD 21205, USA. DUD AI, Y.: Department of Neurosciences, The Weizmann Institute of Science, 76100 Rehovot, Israel. ix x LIST OF CONTRIBUTORS DUPONT, G.: Service de Chimie Physique, Université Libre de Bruxelles, Campus Plaine, C.P. 231, B-1050 Brussels, Belgium. ERMENTROUT, G.B.: Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, USA. FILICORI, ML: Department of Reproductive Medicine, University of Bologna, Via Masserenti 13, 40138 Bologna, Italy. GOLDBERGER, A.L.: Harvard Medical School, Beth Israel Hospital, 330 Brookline Ave, Boston, Mass. 02215, USA. GOLDBETER, A.: Service de Chimie Physique, Faculté des Sciences, Campus Plaine, CP 231, Université Libre de Bruxelles, B-1050 Brussels, Belgium. GOODWIN, B.C.: Department of Biology, The Open University, Walton Hall, MK7 6AA Milton Keynes, UK. GRILLNER, S.: The Nobel Institute for Neurophysiology, Karolinska Institutet, Box 60400, S-104 01 Stockholm, Sweden. GUEVARA, M.R.: Department of Physiology, McGill University, 3655 Drummond Street, Montreal, Quebec H3G 146, Canada. GUNDERSEN, R.E.: Department of Biological Chemistry, Johns Hopkins University, 725 N. Wolfe Street, Baltimore, MD 21205, USA. HESS, B.: Max-Planck-Institut für Ernährungsphysiologie, 201 Rheinlanddamm, 46 Dortmund, FRG. HINDMARSH, J.: Department of Applied Mathematics, University College, Cardiff CF1 1XL, UK. HUNDING, A.: Kemisk Laboratorium III, H.C. 0rsted Institutet, Universitetsparken 5, 2100 Kobenhavn 0, Denmark. KAUFFMAN, S.A.: School of Medicine, Dept. of Biochemistry and Biophysics. University of Pennsylvania, Philadelphia, Pa. 19104-6059, USA. KAUFMAN, M.: Service de Chimie Physique, Université Libre de Bruxelles, Campus Plaine, C.P. 231, B-1050 Brussels, Belgium. KEENER, J.P.: Department of Mathematics, University of Utah, Salt Lake City, Utah 84112, USA. KNOBIL, E.: Laboratory for Neuroendocrinology, The University of Texas Health Science Center at Houston, Houston, Texas 77225, USA. KOPELL, N.: Boston University, Department of Mathematics, Boston, Mass. 02215, USA. LIST OF CONTRIBUTORS xi LACKER, H.M.: Department of Biomathematical Sciences, Mount Sinai Medical School, Box 1023, Gustave Levy Place, New York, NY 10029, USA. LEFEVER, R.: Service de Chimie Physique, Faculté des Sciences, Campus Plaine, CP 231, Université Libre de Bruxelles, B-1050 Brussels, Belgium. LI, Y.X.: Service de Chimie Physique, Faculté des Sciences, Université Libre de Bruxelles, Campus Plaine, C.P. 231, B-1050 Brussels, Belgium. LLINAS, R.: Dept. of Physiology and Biophysics, New York University Medical Center, 550 First Avenue, New York, NY 10016, USA. MAINI, P.K.: Department of Mathematics, University of Utah, Salt Lake City, Utah 84112, USA. MAY, R.M.: Department of Zoology, University of Oxford, Oxford OX1 3PS, UK. MEINHARDT, H.: Max-Planck-Institut Für Entwicklungsbiologie, Spemanstrasse 35/IV, D-7400 Tübingen I, FRG. MOORE, H.-P.H.: Department of Biology, University of California, Berkeley, Ca. 94720, USA. MÜLLER, S.C.: Max-Planck-Institut für Ernährungsphysiologie, 201 Rheinlanddamm, 46 Dortmund, FRG. MURRAY, J.D.: Department of Applied Mathematics FS-20, University of Washington, Seattle, Wa. 98195, USA. NANJUNDIAH, V.: Departments of Microbiology and Cell Biology, Centre for Theoretical Studies, Indian Institute of Science, Bangalore 560012, India. OSTER, G.F.: Departments of Entomology and Biophysics, Wellman Hall, University of California, Berkeley, CA 94720, USA. PARNAS, H.: Department of Neurobiology, The Hebrew University, Jerusalem, Israel. PARNAS, L: Department of Neurobiology, The Hebrew University, Jerusalem, Israel. PERELSON, A.S.: T-10 Division, Mail Stop 710, Los Alamos Nati. Labs., Los Alamos, NM 87545, USA. RIGNEY, D.R.: Harvard Medical School, Beth Israel Hospital, 330 Brookline Ave, Boston, Mass. 02215, USA. xii LIST OF CONTRIBUTORS RINZEL, J.: Mathematical Research Branch, NIADDK, National Institutes of Health, Building 31, Room 4B-54, Bethesda, MD 20892, USA. ROSE, R.M.: Department of Physiology, University College, Cardiff CF1 1XL, UK. SEGEL, L.A.: Department of Applied Mathematics, The Weizmann Institute of Science, 76100 Rehovot, Israel. SHERMAN, A.: Mathematical Research Branch, NIADDK, National Institutes of Health, Building 31, Bethesda, MD 20892, USA. THALABARD, J.-C: Unité 292, INSERM, Paris, France, presently at Laboratory for Neuroendocrinology, The University of Texas Health Science Center at Houston, Houston, Texas 77225, USA. TYSON, J.J.: Department of Biology, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USA. URBAIN, J.: Service d'Immunologie, Département de Biologie Moléculaire, Université Libre de Bruxelles, Rhode St-Genèse, Belgium. VAN CAPELLE, F.J.L.: Academisch Ziekenhuis, Universiteit Amsterdam, Department of Cardiology, Meibergdreef 9, 1105 AZ Amsterdam, The Netherlands. WAGNER, T.O.F.: Medizinische Hochschule Hannover, Abt. Klinische Endokrinologie, Konstanty-Gutschow-Str. 8, D-3000 Hannover 61, FRG. WINFREE, A.T.: Department of Ecology and Evolutionary Biology, University of Arizona, Tucson, AZ 85721, USA. WOLPERT, L.: Anatomy and Developmental Biology, University College and Middlesex School of Medicine, Windeyer Building, Cleveland Street, London W1P 6DB, UK. WURSTER, B.: Fak. Biologie, Universität Konstanz, Postf. 5560, D-7750 Konstanz, FRG. Preface Cell to cell signals govern the development of multicellular organisms and most of their functions. Given the complexity of dynamic phenomena involved in intercellular communication, it is often advantageous to comple ment their experimental study by a theoretical approach. The aim of this book is to present an up-to-date account of the contribution and usefulness of theoretical models in the main fields of cell to cell signalling. The peculiarity of this volume, reflected in its title, is to link experimental and theoretical work. This link is emphasized in all 44 contributions written by leading experts in the fields. Moreover, the models considered are primarily discussed with respect to their biological rather than mathematical interest. Although far from being exhaustive, the volume is divided into seven parts which cover most domains where cell to cell signals play a prominent role. The scope of the project explains the unusual size of this book. It is only fitting that the first part be devoted to nerve cells and neural networks. After all, the fertility of theoretical models in neurobiology has long been recognized since the work of Hodgkin and Huxley on the nerve impulse: the series of papers that they published in 1952 dealt with experi mental aspects as well as with the mathematical modelling of the action potential. This seminal work still represents a prototypic combination between the experimental and theoretical approaches in biology. As a follow-up of these classical studies devoted to excitability of the squid axon, papers in Part 1 start at the cellular level by addressing more complex modes of behaviour such as bursting or multiple modes of neuronal oscillations. Thalamic neurons and the R15 burster cell of Aplysia are dealt with in detail. Another topic is that of neurotransmitter release. At the multicellular level, several aspects are considered. The first is how the coupling between secretory cells modifies their dynamic behaviour. The second is how neural networks behave as central pattern generators that control, for example, locomotion in invertebrates; the latter topic is covered from an experimental and theoretical point of view. Finally, the process of learning is discussed at the molecular level and in terms of neural networks. Part 2 is devoted to morphogenesis and development. Here also, a classical paper published in 1952 by A.M. Turing set the theoretical foundations for understanding the physicochemical bases of pattern formation. Current theories of morphogenesis are presented in relation to experimental observa- xiii xiv PREFACE tions. Included is a comparative discussion of reaction-diffusion and mecha- nochemical models, together with applications of the two types of structure- generating mechanisms. Particular attention is given to pattern formation in the amphibian embryo and in Drosophila. The closing paper deals with the modelling of plant growth. Immunology is one of the fastest growing fields for the application of theoretical ideas in biology. In Part 3, some of the most salient examples of immunological modelling are presented. These pertain to the dynamics of immune networks based on clonai or idiotypic regulation, and to the immune control of tumour growth. The last paper investigates the complex immune dynamics that follows infection with HIV. Hormonal signalling is one of the primary modes of intercellular commu nication. Rather than covering all types of hormonal control, Part 4 focuses on the signals which govern the reproductive function in mammals. Experi mental, clinical and theoretical papers address two main aspects, namely, selection of the dominant follicle in the ovarian cycle, and the effectiveness of pulsatile hormone secretion which allows for encoding of periodic signals in terms of their frequency. The case of the gonadotropin-releasing hormone secreted by the hypothalamus represents a prototype for the other hormones or growth factors which exert their physiological effect only when delivered in a pulsatory manner. An increasing number of hormones and neurotransmitters are found to act on target cells by triggering intracellular calcium oscillations. The experimen tal evidence and the theoretical bases for this phenomenon are discussed in Part 5. Another system in which intercellular communication occurs through pulsatile signals is the slime mould Dictyostelium discoideum to which Part 6 is devoted. The temporal aspects of signalling are considered in papers dealing with the molecular basis of cyclic AMP oscillations which control aggregation of the amoebae after starvation. The mechanism of this wavelike aggregation is also discussed and related to experimental examples of spatiotemporal order in chemical systems. The last part of the volume deals with signal propagation in the heart. Here also, experimental and theoretical aspects are closely intertwined. Among the topics discussed are the relationship between chaos and cardiac dynamics, the response of periodically stimulated cardiac cells, and the role of anisotropie impulse propagation in ventricular tachycardia and in the process of re-entry. Is there a common theme that emerges from the presentation of experi mental and theoretical aspects of intercellular communication in such different fields of cell biology? Looking for general, unifying principles can be misleading and somewhat ludicrous, since the usefulness of models is directly related to their predictive power; the latter, in turn, requires them to be highly specific rather than vague. However, despite the diversity of the phenomena considered, some common themes do appear: excitable and PREFACE xv oscillatory behaviour occurs for nerve as well as cardiac cells; pulsatile signalling is a neuronal property which is also found for an increasing number of hormones and for Dictyostelium amoebae. Encoding of an external signal in terms of its frequency is observed in all these instances of intercellular communication and might also underlie signal transduction based on intracellular calcium oscillations. On the other hand, wavelike phenomena are observed in Dictyostelium as in the myocardium. Wave propagation in excitable media has become a subject of choice for modelling studies in biology. It is in view of this long-standing fascination exerted by waves that the original drawing by Royer (which owes its spiral jolt to a suggestion from Art Winfree) is included at the end of the book. Being closely related to experimental data, the models discussed in this volume retain the specificities of their respective fields. Most studies never theless deal with dynamic events which often lead to instabilities and nonequilibrium self-organization. Therefore, bifurcations associated with oscillations or with transitions between multiple steady states are recurrent themes, from neurobiology to immunology and hormonal regulation, while spatial pattern formation arises in morphogenesis as in cardiac physiology or slime mould aggregation. This volume originates from a NATO Workshop that took place in September 1988 in Knokke-Zoute (Belgium). The suggestion to organize the Workshop came from the panel of the special NATO programme 'Cell to Cell Signals in Plants and Animals'. I would like to express my gratitude to the members of this panel, particularly Professor Kees Libbenga, for their invitation to organize this meeting, and to Dr Alain Jubier, in charge of this programme at the NATO Division for Scientific Affairs, for his constant help. Thanks are also due to Professor Paolo Fasella and the Commission of the European Communities for their complementary support. Further help came from the Belgian National Fund for Scientific Research (FNRS) and from the Belgian Ministry for Education, as well as from the Science Policy Programming Unit of the Prime Minister's Office (SPPS). Finally, I am deeply grateful to the two co-organizers of this Workshop, John Rinzel, from the Mathematical Research Branch of the NIH (Bethesda, USA), and Lee A. Segel, from the Weizmann Institute of Science (Rehovot, Israel) for their most precious support and help in selecting themes and contributors. In a lithograph entitled Ophtalmologie', the Belgian painter Pierre Alechinsky represented a human face probing the world with two pairs of eyes. This figure could serve as metaphor to illustrate the purport of this book, which is to demonstrate the added insight that the combined approaches of experiment and theory provide into the dynamics of living systems and, in particular, into the various modes of intercellular communi cation. Albert Goldbeter Brussels