Dynamics of Cell and Tissue Motion PDF
Preview Dynamics of Cell and Tissue Motion
Mathematics and Biosciences in Interaction Managing Editor Wolfgang Alt Division of Theoretical Biology Botanical Institute University of Bonn Kirschallee 1 0-53115 Bonn Germany e-mail: [email protected] Editorial Board Fred Adler (Dept. Mathematics, Salt Loke City) Mark Chaplain (Dept. Math. & Computer Sciences, Dundee) Andreas Deutsch (Div. Theoretical Biology, Bonn) Andreas Dress (Math. Institut, Bielefeld) David Krakauer (Dept. of Zoology, Oxford) Robert T. Tranquillo (Dept. Chem. Engineering, Minneapolis) Mathematics and Biosciences in Interaction is devoted to the publication of advanced textbooks, monographs, and multi-authored volumes on mathematical concepts in the biological sciences. It concentrates on truly interdisciplinary research presenting currently important biological fields and relevant methods of mathematical modelling and analysis. Emphasis will be put on mathematical concepts and methods being developed and retined in close relation to problems and results relevant for experimental bioscientists. The series aims at publishing not only monographs by individual authors presenting their own results, but welcomes, in particular, volumes arising from collaborations, joint research programs or work shops These can feature concepts and open problems as a result of such collaborative work, possibly illustrated with computer software providing statistical analyses, simulations or visualizations. The envisaged readership includes researchers and advanced students in applied mathematics - numerical analysis as well as statistics, genetiCS, cell biology, neurobiology, bioinformatics, biophysics, bio(medical) engineering, biotechnology, evolution and behavioral sciences, theoretical biology, systems theory. Wolfgang Alt Andreas Deutsch Graham Dunn Editors Springer Basel AG Edilors: wonQO'lQ AII ond AndIOOS Deu!sch Oivisioo of Theote!ic<JI Biology 8oIonical Inslrule LkliV8fSi1y ol Bom KirschoUee 1 53115 Bom Goooo"Y e·moil: woH.oll@uni·bonn.de deu!schOiO.boIa.uni·bonn.de Grohool fi. Dum MCR Muscl8 ond ceu Molilily Unit The RondoU Instituie King's CoIIege loodon 2&-29 Dn.wy lone loodon WC2S 5Rl U.I\. e-mail: [email protected] 1991 McthemCl~cs Subjed Clossi~cotioo 92C99 UtNory 01 Coogress catologing-io-Publroioo Deta Oynomics 01 ceU ond ~ssue moIion I W~lgcng Alt, AnOroos Deutsch, Grohool Dunn. editors, p. Cffi. --(molhematics ond biosdences in inleree!ion) Includes bibliogrophieel rel9lence5 ond inde~. ISBN 978-3-0348-9826-3 ISBN 978-3-0348-8916-2 (eBook) DOI 10.1007/978-3-0348-8916-2 1. caUs--Mo~liry, 2. BiOp/lySics, 3, Oyn<Jmics. 1. Alt. W. (WI:l~gong) U. Deulsch. .a.-.droos, 1960· III. OIJ1n, Grot-o::Jm, 1944- N. Series, OH647.096 1997 571 .6'34--dc21 Deu!sche Biblio/tlek COIaloging·in-Publioo~()I1 Doto Dynamlcs oi cell ond Unu. motlon IW~lgcng AII 00. -Ba~ Sosron; Bertin: Bri1o:MUS6(, 1997 (Mc1hem:Jtics ond tJjosciences in iIlt&rllc!ion) ISBN 978-3-0348-9826-3 This Y/OI1( is subjed 10 COPI'fig!11. AII righls ore rese!Ved, ....nethet the Yrtiole OI per! 0I1he moteriCJl is concemed, speci~coHV Ihe rights oIlfonslolion, I€ţl(inting, re-use 0/ illllStTcHons, broodcosling, repmdudioo on microfilms OI in othoc woys, and sIoroge in dota bonks. !'<lI any kind 0/ use wtMltsoever, permission Irom Ihe copyright ovmer musl ba obloined. C 1997 Springer Basel AG Originally published by Birkhauser Ver1ag in 1997 $oftGQVer reprint of the hardcover lst edilion 1997 f'fin!ed an ocid-Iree paper prodlJced 01 chlorine·free pulp. reF .. ISBN 978-3-0348--9826-3 987654321 Preface Six years after the first International Workshop on "Biological Motion" took place at Konigswinter near Bonn in March 1989 (see Alt & Hoffmann 1990) a subsequent Workshop, organized under the same DFG Research Program (SFB 256: Nonlin ear Partial Differential Equations), assembled in March 1995 to concentrate on an important sub-topic of the first meeting - "Cell and Tissue Motion" . Abount 45 sci entists with specialities ranging from biology and medicine to physics and applied mathematics, from ten European countries and from North America, gathered at the hospitable conference centre of the "Landjugendakademie" in Bonn-Rottgen. The presentations of physico-chemical theories and mathematical models in ple nary talks, as well as their discussion in several work sessions, concentrated on eight particular themes: Animal Tissues, Plant Tissues, Proteins and Forces of Motion, Cytoplasm and Fiber Dynamics, Cell Shape and Motion Analysis, Loco motion Models, Swarm Models and, especially, Dictyostelium Aggregation. During the whole conference the atmosphere was open minded and very stimulating, not only in the formal sessions but also down in the "Schlof3keller", at the bowling alley, and on the communal afternoon hike through the Kottenforst. We were glad and thankful that so many biologists and mathematicians par ticipated in the meeting and especially that so many young scientists attended including students, coworkers and colleagues from Universities and Research Insti tutes near Bonn. Moreover, we express our special thanks to the "senior" partici pants, Prof. Gunter Gerisch (Munchen), Prof. Andrej Grebecki (Warszawa), Prof. Zigmunt Hejnowicz (Katowice) and, in particular, to the emeritus biology Profes sors of the "Rheinische Friedrich-Wilhelms-U niversitat Bonn": Prof. Karl-Ernst Wohlfarth-Bottermann (formerly at the Institute of Cytology and Micromorphol ogy) and Prof. Andreas Sievers (Botanical Institute), who have both provided essential support to the local organizing group "Abteilung Theoretische Biologie" since the time of its foundation in 1986. Finally, we acknowledge that the prepa ration and realization of the Workshop would not have been so easy and effective without the kind help of Marianne and Anke Thiedemann, the secretaries of the SFB 256, as well as Edith Geigant, Boris Hinz, Volker Lendowski and Beate Pfist ner, who also helped with the production of this book. In a final plenary discussion, we identified a series of "hot topics" that ei ther had been treated in single sessions or else had emerged as guiding principles during the meeting. These we collected into four or five groups, and we appointed one or two coordinators for each group who kindly undertook the task of con tacting possible authors to contribute articles for the forthcoming book, of having the articles reviewed by independent referees, of ensuring that the articles were VI Preface revised accordingly and, finally, of writing an Introduction as well as a concluding Discussion section for each Chapter. After more than one year of mutual corre spondence, exchange of ideas and careful revision of the text, formulas and figures, we are now happy to present the outcome of these activities in the finished book. We have tried in selecting the material presented not only to reflect the course of the discussions at the Workshop but also, where appropriate, to cover more recent results and point to important problems of current and future research. To receive additional information about single contributions, including avail able simulation software, the reader may contact the authors or one of the editors, preferably in Bonn (see the List of Addresses at the end of the book). Furthermore, we (the editors) offer to provide English translations of the German quotations heading some of the Chapter Introductions. Obviously, this selection of remarks by scientists from the first half of the century is biased but might show the kind of inspiration that biologists during this period had and, possibly, still have on biophysical and biomathematical thought. Bonn, February 1997 Wolfgang Alt and Andreas Deutsch (Bonn) Graham Dunn (London) Contents Preface.................................................................. v General Introduction Xl Chapter I Motile Dynamics at the Cellular Level - Cytoplasmic Motion and Cell Shape - Coordinators: Graham Dunn and Wolfgang Alt Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1 Rudolf Winklbauer, Andreas Selchow, Beate Boller and Jiirgen Bereiter-Hahn Embryonic Mesoderm Cells and Larval Keratocytes from Xenopus: Structure and Motility of Single Cells 7 1.2 Boris Hinz and Oana Brosteanu Periodicity in Shape Changes of Human Epidermal Keratinocytes 15 1.3 Michael G. Vicker and Wei Xiang Self-organized F-Actin Autowaves Govern Pseudopodium Projection and the Non-random Locomotion of Dictyostelium Amoebae ........ 21 1.4 (Box) Oana Brosteanu, Peter J. Plath and Michael G. Vicker Mathematical Analysis of Cell Shape ............................... 29 1.5 Graham Dunn, Igor Weber and Daniel Zicha Protrusion, Retraction and the Efficiency of Cell Locomotion ........ 33 1.6 Marcin Inkielman and Jan Doroszewski Microscopic Image Classification Based on Descriptor Analysis 47 1.7 Xiaoyi He and Micah Dembo A Dynamical Model of Cell Division 55 1.8 Sasa Svetina, Bojan Boiic and Bostjan Zeks Shape Behavior of Closed Layered Membranes and Cytokinesis ...... 67 1.9 Wolfgang Alt and Robert T. Tranquillo Protrusion-Retraction Dynamics of an Annular Lamellipodial Seam 73 Vlll Contents 1.10 Vladimir A. Teplov, Yuri M. Romanovsky, Dmitri A. Pavlov and Wolfgang Alt Auto-oscillatory Processes and Feedback Mechanisms in Physarum Plasmodium Motility .................................. 83 1.11 Volker Lendowski and Alex Mogilner Origin of Actin-induced Locomotion of Listeria 93 1.12 Gill Civelekoglu and Edith Geigant Models for the Formation of Oriented F -actin Structures in the Cytoskeleton. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 Discussion & Open Problems 111 Chapter II Dynamics of Cell Interaction with the Environment Coordinator: Robert T. Tranquillo Introduction ............................................................. 115 11.1 Andrzej Grebecki Cell-Substratum Interactions of Amoeba proteus: Old and New Open Questions ...................................... 117 11.2 Micah Dembo, Tim Oliver, Akira Ishihara and Ken Jacobson Imaging Traction Stresses .......................................... 123 11.3 Michael G. Vicker Chemotaxis and Chemokinesis of Dictyostelium Amoebae: Different Accumulation Mechanisms Induced by Temporal Signals and Spatial Gradients of Cyclic AMP............................... 133 11.4 Robert T. Tranquillo and Wolfgang Alt Receptor-mediated Models for Leukocyte Chemotaxis 141 11.5 Richard B. Dickinson A Model for Cell Migration by Contact Guidance 149 11.6 (Box) Richard B. Dickinson Derivation of a Cell Migration Transport Equation from an Underlying Random Walk Model ................................ 157 11.7 Robert T. Tranquillo and Victor H. Barocas A Continuum Model for the Role of Fibroblast Contact Guidance in Wound Contraction 159 11.8 Galina Solyanik Wound Healing and Tumour Growth - Relations and Differences - .. 165 Discussion & Open Problems ............................................ 167 Contents IX Chapter III Dynamics of Cell-Cell Interactions - Collective Motion and Aggregation - Coordinator: Philip K. Maini Introduction ............................................................. 171 111.1 Alex Mogilner, Andreas Deutsch and Julian Cook Models for Spatio-angular Self-organization in Cell Biology .......... 173 111.2 Angela Stevens and Frank Schweitzer Aggregation Induced by Diffusing and Nondiffusing Media 183 III.3 John C. Dallon, Hans G. Othmer, Catelijne Van Oss, Alexandre Panfilov, Paulien Hogeweg, Thomas Hofer and Philip K. Maini Models of Dictyostelium discoideum Aggregation. . . . . . . . . . . . . . . . . . . . 193 111.4 Nicholas J. Savill and Paulien Hogeweg A Cellular Automata Approach to the Modelling of Cell-Cell Interactions ............................................ 203 Discussion & Open Problems 209 Chapter IV Dynamics within Tissues - Morphogenesis and Plant Movement - Coordinators: Sharon R. Lubkin and Lev V. Beloussov Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213 IV.1 Lev V. Beloussov, Jiirgen Bereiter-Hahn and Paul B. Green Morphogenetic Dynamics in Tissues: Expectations of Developmental and Cell Biologists .................................. 215 IV.2 Lev V. Beloussov Mechanical Stresses in Animal Development: Patterns and Morphogenetical Role .............................................. 221 IV.3 Sharon R. Lubkin Mechanisms for Branching Morphogenesis of the Lung 229 IV.4 Zygmunt Hejnowicz and Andreas Sievers Tissue Stresses in Plant Organs: Their Origin and Importance for Movements ......................................... 235 IV.5 Paul B. Green Self-Organization and the Formation of Patterns in Plants 243 IV.6 (Box) Steven C. Rennich and Paul B. Green The Mathematics of Plate Bending ................................. 251 x Contents IV.7 Alexander A. Stein, Mechthild Rutz and Hanna Zieschang Mechanical Forces and Signal Transduction in Growth and Bending of Plant Roots ............................................. 255 IV.8 Jerzy Nakielski Growth Field and Cell Displacement within the Root Apex 267 IV.9 Nicolas Rivier, Benoit Dubertret and Gudrun Schliecker The Stationary State of Epithelial Tissues .......................... 275 Discussion & Open Problems ............................................ 283 References .............................................................. 285 Group Picture .......................................................... 316 Addresses ............................................................... 319 Index................................................................... 323
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