Locally Interacting Systems and Their Application in Biology Proceed
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653 Locally Interacting Systems and Their Application in Biology Proceedings of the School-Seminar on Markov Interaction Processes in Biology, Held in Pushchino, Moscow Region, March,1976
Edited by R. L. Dobrushin, V. I. Kryukovand A. L. Toom
Springer-Verlag Berlin Heidelberg New York 1978
Editors R. L. Dobrushin Institute for Information Transmission Problems Academy of Sciences Yermolovoi Str. 19 Moscow USSR
A L. Toom Moscow University Belozersky Laboratory Moscow USSR
V. I. Kryukov Research Computing Centre Academy of Sciences Puschino, Moscow Region USSR
AMS Subject Classifications (1970): primary: 81A 18, 81 A48, 82A15, 94A15, 94A35, 60J20, 60K35; secondary: 92-00, 82A25, 94A30, 60J05, 60J25, 60KlO, 60K15, 60K20, 62M99, 62Pl0
ISBN 3-540-08450-9 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-08450-9 Springer-Verlag New York Heidelberg Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher.
© by Springer-Verlag Berlin Heidelberg 1978 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2141/3140 -543210
This volume is based on the Proceedings of the School-Seminar on Markov Interaction Processes in Biology, held in Pushchino, Moscow Region, March, 1976, sponsored by the USSR Academy of Sciences Research Computing Centre and Institute of Information Transmission Problems. Organizing Committee Director: R.L.Dobrushin; Co-Chairmen: V.I.Kryukov, S.A.Pirogov, A.L.Toom. Members of the local arrangements committee: G.N.Borisyuk, R.M.Borisyuk, E.I.Kovalenko, A.B.Kirillov, 'G.G.Kutuzova.
SPECIAL ADDRESS A.M. Molchanov Director of Research Computing Centre of the USSR Academy of Sciences, Pushchino, Moscow Region It is very pleasant to have such an abstract branch of mathematics represented here at our Centre for Biological Research. I'll not attempt an estimation (it will be best done by the participants themselves) of a possible interplay of this branch with biology. After welcoming you here as guests, I will say a few words on behalf of the "customers", i.e. biologists. But the biologists are not to be held responsible for what I am going to say. Mind that it's my personal opinion on their needs and problems. The biologists are in tremendous need of viewing the subject their own, and maybe our mathematical subject as well
from a different
standpoint, rather than being given mathematical methods and readymade theorems. They must have, so to speak, a sensible person to converse with. And the latter must be a professional too. A little example will clarify this judgement. Locusts, after hatching, creep over the land till, as biologists the mean area
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