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EXP"},{"key":"ref4","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1017\/S0140525X0004855X","article-title":"Reconciling Fechner and Stevens: Toward a unified psychophysical law","volume":"12","author":"LE Krueger","year":"1989","journal-title":"Behav Brain Sci"},{"key":"ref5","article-title":"A Computational Test of the Information-Theory BasedEntropy Theory of Perception: Does It Actually Generate the Stevens and Weber-Fechner Laws of Sensation?","author":"L Nizami","year":"2009","journal-title":"Proceedings of the World Congress on Engineering"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"B17","DOI":"10.1016\/S0010-0277(98)00066-3","article-title":"Scale-invariance as a unifying psychological principle","volume":"69","author":"N Chater","year":"1999","journal-title":"Cognition"},{"key":"ref7","doi-asserted-by":"crossref","first-page":"060901","DOI":"10.1103\/PhysRevE.65.060901","article-title":"Physics of psychophysics: Stevens and Weber-Fechner laws are transfer functions of excitable media","volume":"65","author":"M Copelli","year":"2002","journal-title":"Phys Rev E"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1037\/a0021394","article-title":"To honor Fechner and obey Stevens: Relationships between psychophysical and neural nonlinearities","volume":"137","author":"VA Billock","year":"2011","journal-title":"Psychol Bull"},{"key":"ref9","first-page":"758","article-title":"Theta synchrony supports Weber\u2013Fechner and Stevens' Laws for error processing, uniting high and low mental processes","volume":"47","author":"G Tzur","year":"2010","journal-title":"Psychophysiology"},{"key":"ref10","doi-asserted-by":"crossref","first-page":"894","DOI":"10.1016\/j.molcel.2009.11.018","article-title":"The incoherent feedforward loop can provide fold-change detection in gene regulation","volume":"36","author":"L Goentoro","year":"2009","journal-title":"Mol Cell"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"15995","DOI":"10.1073\/pnas.1002352107","article-title":"Fold-change detection and scalar symmetry of sensory input fields","volume":"107","author":"O Shoval","year":"2010","journal-title":"Proc Natl Acad Sci"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"13870","DOI":"10.1073\/pnas.1108608108","article-title":"Response rescaling in bacterial chemotaxis","volume":"108","author":"MD Lazova","year":"2011","journal-title":"Proc Natl Acad Sci"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"1802","DOI":"10.1073\/pnas.1116772109","article-title":"Noninvasive inference of the molecular chemotactic response using bacterial trajectories","volume":"109","author":"J-B Masson","year":"2012","journal-title":"Proc Natl Acad Sci"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"885","DOI":"10.1016\/j.molcel.2009.11.025","article-title":"Dynamics and variability of ERK2 response to EGF in individual living cells","volume":"36","author":"C Cohen-Saidon","year":"2009","journal-title":"Mol Cell"},{"key":"ref15","doi-asserted-by":"crossref","first-page":"872","DOI":"10.1016\/j.molcel.2009.11.017","article-title":"Evidence that fold-change, and not absolute level, of \u03b2-catenin dictates Wnt signaling","volume":"36","author":"L Goentoro","year":"2009","journal-title":"Mol Cell"},{"key":"ref16","doi-asserted-by":"crossref","unstructured":"Skataric M, Sontag E (2012) Exploring the scale invariance property in enzymatic networks. Decision and Control (CDC), 2012 IEEE 51st Annual Conference on. pp. 5511\u20135516. Available: http:\/\/ieeexplore.ieee.org\/xpls\/abs_all.jsp?arnumber=6426990<\/ext-link>. Accessed 16 October 2013.","DOI":"10.1109\/CDC.2012.6426990"},{"key":"ref17","doi-asserted-by":"crossref","first-page":"ra2","DOI":"10.1126\/scisignal.2002413","article-title":"Incoherent feedforward control governs adaptation of activated Ras in a eukaryotic chemotaxis pathway","volume":"5","author":"K Takeda","year":"2012","journal-title":"Sci Signal"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"e57455","DOI":"10.1371\/journal.pone.0057455","article-title":"Comparing Apples and Oranges: Fold-Change Detection of Multiple Simultaneous Inputs","volume":"8","author":"Y Hart","year":"2013","journal-title":"PloS One"},{"key":"ref19","doi-asserted-by":"crossref","first-page":"11980","DOI":"10.1073\/pnas.2133841100","article-title":"Structure and function of the feed-forward loop network motif","volume":"100","author":"S Mangan","year":"2003","journal-title":"Proc Natl Acad Sci"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/j.neucom.2011.05.034","article-title":"Global relative parameter sensitivities of the feed-forward loops in genetic networks","volume":"78","author":"P Wang","year":"2012","journal-title":"Neurocomputing"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1186\/1752-0509-6-7","article-title":"Evolvability of feed-forward loop architecture biases its abundance in transcription networks","volume":"6","author":"S Widder","year":"2012","journal-title":"BMC Syst Biol"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1016\/S0006-3495(02)75373-3","article-title":"Models of Eukaryotic Gradient Sensing: Application to Chemotaxis of Amoebae and Neutrophils","volume":"82","author":"A Levchenko","year":"2002","journal-title":"Biophys J"},{"key":"ref23","unstructured":"Alon U (2007) An Introduction to Systems Biology: Design Principles of Biological Circuits (Mathematical and Computational Biology Series vol 10). Boca Raton, FL: Chapman and Hall. Available: http:\/\/www.lavoisier.fr\/livre\/notice.asp?ouvrage=1842587<\/ext-link>. Accessed 9 April 2013."},{"key":"ref24","doi-asserted-by":"crossref","first-page":"786","DOI":"10.1016\/j.molcel.2008.01.021","article-title":"Diverse two-dimensional input functions control bacterial sugar genes","volume":"29","author":"S Kaplan","year":"2008","journal-title":"Mol Cell"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1038\/16483","article-title":"Robustness in bacterial chemotaxis","volume":"397","author":"U Alon","year":"1999","journal-title":"Nature"},{"key":"ref26","doi-asserted-by":"crossref","first-page":"913","DOI":"10.1038\/43199","article-title":"Robustness in simple biochemical networks","volume":"387","author":"N Barkai","year":"1997","journal-title":"Nature"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1016\/j.bpj.2013.10.039","article-title":"Cellular Sensory Mechanisms for Detecting Specific Fold-Changes in Extracellular Cues","volume":"106","author":"K Hironaka","year":"2014","journal-title":"Biophys J"},{"key":"ref28","doi-asserted-by":"crossref","first-page":"14855","DOI":"10.1073\/pnas.0807569105","article-title":"Modeling the chemotactic response of Escherichia coli to time-varying stimuli","volume":"105","author":"Y Tu","year":"2008","journal-title":"Proc Natl Acad Sci"},{"key":"ref29","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1146\/annurev-biophys-083012-130358","article-title":"Quantitative modeling of bacterial chemotaxis: Signal amplification and accurate adaptation","volume":"42","author":"Y Tu","year":"2013","journal-title":"Annu Rev Biophys"},{"key":"ref30","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/0022-5193(71)90050-6","article-title":"Model for chemotaxis","volume":"30","author":"EF Keller","year":"1971","journal-title":"J Theor Biol"},{"key":"ref31","unstructured":"Stryer L (1999) Biochemistry. W.H. Freeman. 1064 p."},{"key":"ref32","unstructured":"Whitford D (2005) Proteins: structure and function. John Wiley & Sons. Available: http:\/\/www.google.com\/books?hl=iw&lr=&id=qbHLkxbXY4YC&oi=fnd&pg=PR7&dq=Whitford,+David:+Proteins:+structure+and+function,+2005,+John+Wiley+%26+Sons&ots=c4FElgKd5u&sig=aWYtFIGAp5WW9jzBIfMBfcTOhs8<\/ext-link>. Accessed 15 June 2014."},{"key":"ref33","doi-asserted-by":"crossref","first-page":"1154","DOI":"10.1126\/science.1200037","article-title":"Dynamics of Dpp signaling and proliferation control","volume":"331","author":"O Wartlick","year":"2011","journal-title":"Science"},{"key":"ref34","doi-asserted-by":"crossref","first-page":"690","DOI":"10.1016\/j.gde.2011.09.002","article-title":"The missing link: implementation of morphogenetic growth control on the cellular and molecular level","volume":"21","author":"O Wartlick","year":"2011","journal-title":"Curr Opin Genet Dev"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"594","DOI":"10.1038\/nrm3169","article-title":"Understanding morphogenetic growth control\u2014lessons from flies","volume":"12","author":"O Wartlick","year":"2011","journal-title":"Nat Rev Mol Cell Biol"},{"key":"ref36","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1007\/BF02460092","article-title":"On the validity of the steady state assumption of enzyme kinetics","volume":"50","author":"LA Segel","year":"1988","journal-title":"Bull Math Biol"},{"key":"ref37","doi-asserted-by":"crossref","unstructured":"Glover DM, Jenkins WJ, Doney SC (2011) Least squares and regression techniques, goodness of fit and tests, and nonlinear least squares techniques. Modeling Methods for Marine Science. Cambridge University Press. Available: http:\/\/dx.doi.org\/10.1017\/CBO9780511975721.004<\/ext-link>.","DOI":"10.1017\/CBO9780511975721.004"}],"container-title":["PLoS Computational Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/dx.plos.org\/10.1371\/journal.pcbi.1003781","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,10,23]],"date-time":"2018-10-23T17:01:09Z","timestamp":1540314069000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1003781"}},"subtitle":[],"editor":[{"given":"Jorg","family":"Stelling","sequence":"first","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2014,8,14]]},"references-count":37,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2014,8,14]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pcbi.1003781","relation":{},"ISSN":["1553-7358"],"issn-type":[{"value":"1553-7358","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,8,14]]}}}