BioInformation Processing A Primer on Computational Cognitive Scien
This book shows how mathematics, computer science and science can be usefully and seamlessly intertwined. It begins with a general model of cognitive processes in a network of computational nodes, such as neurons, using a variety of tools from mathematics
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James K. Peterson
BioInformation Processing A Primer on Computational Cognitive Science
Cognitive Science and Technology Series editor David M.W. Powers, Adelaide, Australia
More information about this series at http://www.springer.com/series/11554
Cowperthraite knew she had to prepare more for her class, so she settled down to read at her favorite spot on the beach
James K. Peterson
BioInformation Processing A Primer on Computational Cognitive Science
123
James K. Peterson Department of Mathematical Sciences Clemson University Clemson, SC USA
ISSN 2195-3988 ISSN 2195-3996 (electronic) Cognitive Science and Technology ISBN 978-981-287-869-4 ISBN 978-981-287-871-7 (eBook) DOI 10.1007/978-981-287-871-7 Library of Congress Control Number: 2015958316 © Springer Science+Business Media Singapore 2016 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. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by SpringerNature The registered company is Springer Science+Business Media Singapore Pte Ltd.
I dedicate this work to the many people, practicing scientists, mathematicians and software developers and computer scientists, who have who have helped me think more carefully about the whole picture. The larger problems are what interests me as my family can attest as they have listened to my ideas in the living room and over dinner for many years. I hope these notes help inspire my readers to consider the intersection of biology, mathematics, and computer science as a fertile research area.
Contents
Part I 1
BioInformation Processing . . . . . . . . . 1.1 The Proper Level of Abstraction. 1.2 The Threads of Our Tapestry . . . 1.3 Chapter Guide . . . . . . . . . . . . . 1.4 Theoretical Modeling Issues. . . . 1.5 Code. . . . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . .
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3 4 5 7 11 14 15
The Diffusion Equation . . . . . . . . . . . . . . . . . . . . . . .
