{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T23:54:16Z","timestamp":1770335656570,"version":"3.49.0"},"reference-count":90,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"12","license":[{"start":{"date-parts":[[2016,12,1]],"date-time":"2016-12-01T00:00:00Z","timestamp":1480550400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2016,12,1]],"date-time":"2016-12-01T00:00:00Z","timestamp":1480550400000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2016,12,1]],"date-time":"2016-12-01T00:00:00Z","timestamp":1480550400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2016,12,1]],"date-time":"2016-12-01T00:00:00Z","timestamp":1480550400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/100004408","name":"Council for the International Exchange of Scholars","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100004408","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000076","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-0720142"],"award-info":[{"award-number":["DMS-0720142"]}],"id":[{"id":"10.13039\/100000076","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000076","name":"National Science Foundation","doi-asserted-by":"publisher","award":["EF-1038677"],"award-info":[{"award-number":["EF-1038677"]}],"id":[{"id":"10.13039\/100000076","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000076","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1413770"],"award-info":[{"award-number":["DMS-1413770"]}],"id":[{"id":"10.13039\/100000076","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100008136","name":"sabbatical support from Case Western Reserve University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100008136","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000038","name":"Natural Sciences and Engineering Research Council","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000038","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","award":["259837"],"award-info":[{"award-number":["259837"]}],"id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2016,12]]},"DOI":"10.1109\/tit.2016.2599178","type":"journal-article","created":{"date-parts":[[2016,8,10]],"date-time":"2016-08-10T20:04:26Z","timestamp":1470859466000},"page":"7358-7382","source":"Crossref","is-referenced-by-count":54,"title":["Capacity of a Simple Intercellular Signal Transduction Channel"],"prefix":"10.1109","volume":"62","author":[{"given":"Peter J.","family":"Thomas","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9808-1229","authenticated-orcid":false,"given":"Andrew W.","family":"Eckford","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref73","first-page":"303","article-title":"Causality, feedback and directed information","author":"massey","year":"1990","journal-title":"Proc Int Symp Inf Theory Appl"},{"key":"ref72","first-page":"117","article-title":"Characterizing optimum (input, output) processes for finite-state channels with feedback","author":"ying","year":"2003","journal-title":"Proc IEEE Int Symp Inf Theory"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1109\/18.21285"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1109\/18.21284"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-9477-8"},{"key":"ref77","first-page":"1","article-title":"Poisson communication theory","author":"verd\u00fa","year":"1999","journal-title":"Proc Invited Talk Int Tech Commun Day Honor Israel Bar-David"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2002.806135"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1016\/S0006-3495(02)73906-4"},{"key":"ref75","author":"cover","year":"2006","journal-title":"Elements of Information Theory"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1126\/science.1075988"},{"key":"ref78","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.862079"},{"key":"ref79","doi-asserted-by":"publisher","DOI":"10.1109\/18.75239"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2013.6620684"},{"key":"ref32","doi-asserted-by":"crossref","DOI":"10.1023\/A:1007660828327","article-title":"Feedback capacity of binary channels with unit output memory","author":"ying","year":"0","journal-title":"IEEE Trans Inf Theory"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.842697"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2331957"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1126\/scisignal.2002906"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1126\/stke.3132005eg11"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1016\/j.semcdb.2011.07.020"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2343232"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-011-0156-4"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1038\/nmeth.f.324"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1126\/science.1204553"},{"key":"ref63","year":"2014","journal-title":"IEEE Information Theory Society Committee on New Directions"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2007.4557493"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1186\/2190-8567-4-6"},{"key":"ref27","first-page":"182","article-title":"Information theory","author":"blackwell","year":"1961","journal-title":"Modern Mathematics for the Engineer Second Series"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1021\/j100540a008"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-6766-4_1"},{"key":"ref29","author":"gallager","year":"1968","journal-title":"Information Theory and Reliable Communication"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1007\/s10827-014-0528-2"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1980.1056262"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1137\/1123013"},{"key":"ref2","first-page":"297","article-title":"A study of aging, thermal killing and radiation damage by information theory","author":"yockey","year":"1958","journal-title":"Symposium on Information Theory in Biology"},{"key":"ref1","author":"yockey","year":"1958","journal-title":"Symposium on Information Theory in Biology"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/ITW.2011.6089591"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.75.061905"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/JSAC.2014.2367673"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.82.021129"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1529\/biophysj.106.100263"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177706452"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/s00422-014-0621-7"},{"key":"ref50","first-page":"69","article-title":"Ueber die chemische Affinit&#x00E4;t. &#x00A7; 1. Einleitung","volume":"19","author":"guldberg","year":"1879","journal-title":"Advanced Synthesis & Catalysis"},{"key":"ref51","author":"van\u2019t hoff","year":"1896","journal-title":"Studies in Chemical Dynamics"},{"key":"ref90","doi-asserted-by":"publisher","DOI":"10.1109\/18.910572"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0911178107"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.bi.54.070185.004341"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1038\/280279a0"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1109\/18.45284"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1109\/18.50386"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1137\/060666457"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-9863-7_278"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1126\/science.1063951"},{"key":"ref10","article-title":"Directed information graphs","author":"quinn","year":"2012"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/WCNC.2012.6214459"},{"key":"ref40","first-page":"61","article-title":"AMPAtype glutamate receptors&#x2014;Nonselective cation channels mediating fast excitatory transmission in the CNS","volume":"66","author":"jonas","year":"1993","journal-title":"Nonselective Cation Channels Pharmacology Physiology and Biophysics"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/CISS.2007.4298292"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2013.6620546"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0082935"},{"key":"ref15","first-page":"392","article-title":"Molecular communication","author":"hiyama","year":"2005","journal-title":"Proc NSTI Nanotechnol Conf"},{"key":"ref82","doi-asserted-by":"publisher","DOI":"10.1126\/science.275.5307.1805"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.comnet.2009.08.001"},{"key":"ref81","doi-asserted-by":"publisher","DOI":"10.1109\/18.490551"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.4108\/ICST.BIONETICS2007.2365"},{"key":"ref84","article-title":"The diffusion-limited biochemical signal-relay channel","author":"thomas","year":"2004","journal-title":"Proc Adv NIPS"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/BIMNICS.2007.4610077"},{"key":"ref83","author":"rieke","year":"1999","journal-title":"Spikes Exploring the Neural Code (Computational Neuroscience)"},{"key":"ref19","article-title":"The diffusion-limited biochemical signal-relay channel","volume":"16","author":"thomas","year":"2004","journal-title":"Advances in neural information processing systems"},{"key":"ref80","article-title":"Capacity of the trapdoor channel with feedback","author":"permuter","year":"2006"},{"key":"ref89","doi-asserted-by":"publisher","DOI":"10.1038\/nrm856"},{"key":"ref4","first-page":"217","article-title":"Possible principles underlying the transformations of sensory messages","author":"barlow","year":"1961","journal-title":"Sensory Communication"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1037\/h0054663"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1126\/science.1227946"},{"key":"ref5","author":"berger","year":"1971","journal-title":"Rate Distortion Theory A Mathematical Basis for Data Compression"},{"key":"ref85","doi-asserted-by":"publisher","DOI":"10.1126\/science.1213834"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2011.6034228"},{"key":"ref86","doi-asserted-by":"publisher","DOI":"10.1186\/1752-0509-5-151"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.copbio.2014.05.002"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1126\/science.3047871"},{"key":"ref87","doi-asserted-by":"publisher","DOI":"10.1109\/JSAC.2010.100509"},{"key":"ref88","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511525315"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/s10827-010-0247-2"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1126\/science.290.5492.750"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1016\/j.ceb.2007.11.011"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1016\/0896-6273(94)90267-4"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0606433103"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1183\/09031936.96.09091913"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0002045"},{"key":"ref44","first-page":"9","article-title":"Phototransduction mechanism in retinal rods and cones. The Friedenwald lecture","volume":"35","author":"yau","year":"1994","journal-title":"Invest Ophthalmol Vis Sci"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1162\/089976603321192077"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/ieeexplore.ieee.org\/ielaam\/18\/7748579\/7539683-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/7748579\/07539683.pdf?arnumber=7539683","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,5]],"date-time":"2022-07-05T18:59:49Z","timestamp":1657047589000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7539683\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,12]]},"references-count":90,"journal-issue":{"issue":"12"},"URL":"https:\/\/doi.org\/10.1109\/tit.2016.2599178","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,12]]}}}