Methods of Small Parameter in Mathematical Biology
This monograph presents new tools for modeling multiscale biological processes. Natural processes are usually driven by mechanisms widely differing from each other in the time or space scale at which they operate and thus should be described by appropriat
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Jacek Banasiak Mirosław Lachowicz
Methods of Small Parameter in Mathematical Biology
Modeling and Simulation in Science, Engineering and Technology Series Editor Nicola Bellomo Politecnico di Torino Torino, Italy
Editorial Advisory Board K.J. Bathe Department of Mechanical Engineering Massachusetts Institute of Technology Cambridge, MA, USA
P. Koumoutsakos Computational Science & Engineering Laboratory ETH Zürich Zürich, Switzerland
M. Chaplain Division of Mathematics University of Dundee Dundee, Scotland, UK
H.G. Othmer Department of Mathematics University of Minnesota Minneapolis, MN, USA
P. Degond Department of Mathematics, Imperial College London, London, United Kingdom
K.R. Rajagopal Department of Mechanical Engineering Texas A&M University College Station, TX, USA
A. Deutsch Center for Information Services and High-Performance Computing Technische Universität Dresden Dresden, Germany
T.E. Tezduyar Department of Mechanical Engineering & Materials Science Rice University Houston, TX, USA
M.A. Herrero Departamento de Matematica Aplicada Universidad Complutense de Madrid Madrid, Spain
A. Tosin Istituto per le Applicazioni del Calcolo “M. Picone” Consiglio Nazionale delle Ricerche Roma, Italy
For further volumes: http://www.springer.com/series/4960
Jacek Banasiak • Mirosław Lachowicz
Methods of Small Parameter in Mathematical Biology
Jacek Banasiak School of Mathematics, Statistics and Computer Science University of KwaZulu-Natal Durban, South Africa Institute of Mathematics, Technical University of Łód´z Łód´z, Poland
Mirosław Lachowicz Institute of Applied Mathematics and Mechanics Faculty of Mathematics, Informatics and Mechanics University of Warsaw Warsaw, Poland
ISSN 2164-3679 ISSN 2164-3725 (electronic) ISBN 978-3-319-05139-0 ISBN 978-3-319-05140-6 (eBook) DOI 10.1007/978-3-319-05140-6 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2014935058 Mathematics Subject Classification (2010): 34E15, 92B05, 34E13, 92D25, 92D30 © Springer International Publishing Switzerland 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink
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