A MATHEMATICAL APPROACH TO MULTILEVEL, MULTISCALE HEALTH INTERVENTIONS Pharmaceutical Industry Decline and Policy Response TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk A MATHEMATICAL APPROACH TO MULTILEVEL, MULTISCALE HEALTH INTERVENTIONS Pharmaceutical Industry Decline and Policy Response Rodrick Wallace Deborah Wallace Columbia University, USA Imperial College Press ICP Published by Imperial College Press 57 Shelton Street Covent Garden London WC2H 9HE Distributed by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. A MATHEMATICAL APPROACH TO MULTILEVEL, MULTISCALE HEALTH INTERVENTIONS Pharmaceutical Industry Decline and Policy Response Copyright © 2013 by Imperial College Press All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. ISBN 978-1-84816-996-8 Printed in Singapore. Veronica - A Mathematical Approach.pmd 1 1/10/2013, 9:43 AM January 10, 2013 9:26 P880 - Multiscale Health Interventions - 9in x 6in Preface Many physiological phenomena involve the transmission of information. Even‘lowlevel’regulatoryprocesses,likegeneexpressionandtheoperation of protein folding chaperones, can be interpreted as cognitive, in a formal sense, and associated with a ‘dual’ information source. Calculation shows thatisolationofsuchsourcesfromsignalcrosstalkbetweenthemconsumes more metabolic free energy than does permitting correlation, allowing an evolutionaryexaptationleadingtodynamicglobalbroadcastsofinteracting physiological and larger cognitive modules at multiple scales and levels of organization. This is similar to the well-studied exaptation of noise to trigger stochastic resonance signal amplification. Thelivingstateisthereforenotonlycharacterizedbycognitionatevery scale and level, but by multiple, tunable, cooperative broadcasts that link selected subsets of modules to address problems facing the organism. This viewpointhasimplicationsforcurrenteffortsintranslationalmedicinethat havefollowedthecollapseofpharmaceuticalindustrymagicbulletresearch. The central focus of such work is to speed the application of results avail- able from laboratory studies at the molecular and cellular levels to drug development. Itisincreasinglyclear,however,thatfailuretorespondtotheinherently multilevel,multiscalenatureofhumanpathophysiologydoomstranslational medicine: reductionist magic bullets are simply not enough. An essential feature of the full dynamic is that the principal environment for humans is other humans, their cultures, histories, and socioeconomic institutions – a layered composition of larger scale, interpenetrating cognitive and other structures and artifacts in which we all participate. Indeed, the evolution- ary anthropologist Robert Boyd claims that culture is as much a part of human biology as the enamel on our teeth. v January 10, 2013 9:26 P880 - Multiscale Health Interventions - 9in x 6in vi MULTISCALE HEALTH INTERVENTIONS It is, then, necessary to seek, rather than reductionist magic bullets, carefully designed, synergistic, multilevel ‘magic strategies’ that will act across the scales and levels of organization of the human cognome – the overlapping assembly of cognitive modules within each human and the set of those in which each human is embedded – to restore normal function for individuals, populations, and even larger structures. This book outlines a formal foundation for the design of such multi- level, multiscale treatment strategies, based on statistical models derived from the asymptotic limit theorems of information theory that provide a toolset for data analysis and policy construction. This work synthesizes, and significantly extends, a series of recently published papers, as listed below. The material is presented at an advanced undergraduate mathemati- cal level, assuming some knowledge of probability, abstract algebra, and calculus. Specialized topics are summarized in a Mathematical Appendix. The most direct reading would be Chapters 1–3, followed by 10–12, withdetailsfilledinasneededfromintermediatechaptersthatincorporate examples of the methodology. The approach should be of compelling interest to the broad spectrum of scientifically informed policymakers who are called upon to pay the bill for increasingly expensive rearrangements of deck chairs on a reductionist biomedical Titanic. Sources Wallace, R., 2007, Culture and inattentional blindness: a global workspace perspective, Journal of Theoretical Biology, 245:378–390. Wallace, R., 2008, Developmental disorders as pathological resilience domains, Ecology and Society, 13:29. Wallace, R., 2010, Protein folding disorders: toward a basic biological paradigm, Journal of Theoretical Biology, 267:582–594. Wallace, R., 2010, Expanding the modern synthesis, Comptes Rendus Biologies, 333:701–709. Wallace, R., 2011, Structure and dynamics of the ‘protein folding code’ inferred using Tlusty’s topological rate distortion approach, BioSystems, 103:18–26. Wallace, R., 2011, Multifunction moonlighting and intrinsically disor- dered proteins: information catalysis, non-rigid molecule symmetries and the ‘logic gate’ spectrum, Comptes Rendus Chimie, 14:1117–1121. January 10, 2013 9:26 P880 - Multiscale Health Interventions - 9in x 6in PREFACE vii Wallace, R., 2012, Extending Tlusty’s rate distortion index theorem methodtotheglycome: Doeven‘lowlevel’biochemicalphenomenarequire sophisticated cognitive paradigms? BioSystems, 107:145–152. Wallace, R., 2012, Spontaneous symmetry breaking in a non-rigid molecule approach to intrinsically disordered proteins, Molecular BioSys- tems, 8:374–377. Wallace, R., 2012, Consciousness, crosstalk, and the mereologi- cal fallacy: an evolutionary perspective, Physics of Life Reviews, doi 10.1016/j.plrev.2012.08.002. Wallace, R., 2012, Metabolic constraints on the evolution of genetic codes: didmultiple‘preaerobic’ecosystemtransitionsentrainricherdialects viaSerialEndosymbiosis? TransactionsonComputationalSystemsBiology XIV, LNBI 7625:204–232. Wallace, R., D. Wallace, 2008, Punctuated equilibrium in statistical models of generalized coevolutionary resilience: how sudden ecosystem transitionscanentrainbothphenotypeexpressionandDarwinianselection, Transactions on Computational Systems Biology IX, LNBI 5121:23–85. Wallace, R., D. Wallace, 2009, Code, context, and epigenetic catalysis in gene expression, Transactions on Computational Systems Biology XI, LNBI 5750, 283–334. Wallace, R., D. Wallace, 2011, Cultural epigenetics: on the heritability ofcomplexdiseases,TransactionsonComputationalSystemsBiologyXIII, LNBI 6575:131–170. Wallace, R.G., R. Wallace, 2009, Evolutionary radiation and the spec- trum of consciousness, Consciousness and Cognition, 18:160–167. TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk January 10, 2013 9:26 P880 - Multiscale Health Interventions - 9in x 6in Contents Preface v 1. BEYOND MAGIC BULLETS 1 1.1 The Pharmaceutical Catastrophe . . . . . . . . . . . . . . 1 1.2 A New Perspective . . . . . . . . . . . . . . . . . . . . . . 6 1.3 Cognition as ‘Language’ . . . . . . . . . . . . . . . . . . . 8 1.4 The Human Cognome . . . . . . . . . . . . . . . . . . . . 11 2. EXPANDING THE THEORY 19 2.1 No Free Lunch . . . . . . . . . . . . . . . . . . . . . . . . 19 2.2 Multiple Broadcasts, Punctuated Detection . . . . . . . . 22 2.3 Metabolic Constraints . . . . . . . . . . . . . . . . . . . . 25 2.4 Environmental Signals . . . . . . . . . . . . . . . . . . . . 27 3. DYNAMIC ‘REGRESSION’ MODELS 29 3.1 The Simplest Approach . . . . . . . . . . . . . . . . . . . 29 3.2 A Rate Distortion Reformulation . . . . . . . . . . . . . . 35 3.3 Multiple Time Scales . . . . . . . . . . . . . . . . . . . . . 38 3.4 Incoming Information . . . . . . . . . . . . . . . . . . . . 39 3.5 Pathologies . . . . . . . . . . . . . . . . . . . . . . . . . . 40 3.6 Refining the Model . . . . . . . . . . . . . . . . . . . . . . 42 4. AN EVOLUTIONARY EXCURSION 47 4.1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . 47 4.2 Ecosystems as Information Sources . . . . . . . . . . . . . 50 4.3 Genetic Heritage . . . . . . . . . . . . . . . . . . . . . . . 53 ix