{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,11]],"date-time":"2025-11-11T22:03:56Z","timestamp":1762898636770},"reference-count":58,"publisher":"MIT Press - Journals","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Computation"],"published-print":{"date-parts":[[2011,2]]},"abstract":"<jats:p> Chemotaxis plays a crucial role in many biological processes, including nervous system development. However, fundamental physical constraints limit the ability of a small sensing device such as a cell or growth cone to detect an external chemical gradient. One of these is the stochastic nature of receptor binding, leading to a constantly fluctuating binding pattern across the cell's array of receptors. This is analogous to the uncertainty in sensory information often encountered by the brain at the systems level. Here we derive analytically the Bayes-optimal strategy for combining information from a spatial array of receptors in both one and two dimensions to determine gradient direction. We also show how information from more than one receptor species can be optimally integrated, derive the gradient shapes that are optimal for guiding cells or growth cones over the longest possible distances, and illustrate that polarized cell behavior might arise as an adaptation to slowly varying environments. Together our results provide closed-form predictions for variations in chemotactic performance over a wide range of gradient conditions. <\/jats:p>","DOI":"10.1162\/neco_a_00075","type":"journal-article","created":{"date-parts":[[2010,11,24]],"date-time":"2010-11-24T23:25:40Z","timestamp":1290641140000},"page":"336-373","source":"Crossref","is-referenced-by-count":19,"title":["Bayes-Optimal Chemotaxis"],"prefix":"10.1162","volume":"23","author":[{"given":"Duncan","family":"Mortimer","sequence":"first","affiliation":[{"name":"Queensland Brain Institute, University of Queensland, St. Lucia QLD 4072, Australia"}]},{"given":"Peter","family":"Dayan","sequence":"additional","affiliation":[{"name":"Gatsby Computational Neuroscience Laboratory, UCL, London WC1N 3AR, U.K."}]},{"given":"Kevin","family":"Burrage","sequence":"additional","affiliation":[{"name":"Institute for Molecular Bioscience, University of Queensland, St. Lucia QLD 4072, Australia, and Computing Laboratory, Oxford University, Oxford OX1 3QD, U.K."}]},{"given":"Geoffrey J.","family":"Goodhill","sequence":"additional","affiliation":[{"name":"Queensland Brain Institute and School of Mathematics and Physics, University of Queensland, St. Lucia QLD 4072, Australia"}]}],"member":"281","reference":[{"key":"B1","volume-title":"Handbook of mathematical functions","author":"Abramowitz M.","year":"1970"},{"key":"B2","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-2312(01)00539-2"},{"key":"B3","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.0030153"},{"key":"B4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.81.021909"},{"key":"B5","doi-asserted-by":"publisher","DOI":"10.1016\/j.devcel.2004.12.007"},{"key":"B6","doi-asserted-by":"publisher","DOI":"10.1016\/S0006-3495(77)85544-6"},{"key":"B7","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0504321102"},{"key":"B8","doi-asserted-by":"publisher","DOI":"10.1038\/30018"},{"key":"B9","doi-asserted-by":"publisher","DOI":"10.1016\/S0092-8674(03)00199-5"},{"key":"B10","doi-asserted-by":"publisher","DOI":"10.1007\/BF02918313"},{"key":"B11","doi-asserted-by":"publisher","DOI":"10.1016\/0952-7915(94)90042-6"},{"key":"B12","volume-title":"Bayesian brain: Probabilistic approaches to neural coding","author":"Doya K.","year":"2007"},{"key":"B13","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0804688105"},{"key":"B14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.103.158101"},{"key":"B15","doi-asserted-by":"publisher","DOI":"10.1038\/415429a"},{"key":"B16","doi-asserted-by":"publisher","DOI":"10.1083\/jcb.108.3.973"},{"key":"B17","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0911178107"},{"key":"B18","doi-asserted-by":"publisher","DOI":"10.1111\/j.1460-9568.1997.tb01496.x"},{"key":"B19","doi-asserted-by":"publisher","DOI":"10.1162\/089976698300017638"},{"key":"B20","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-4695(19991105)41:2<230::AID-NEU6>3.0.CO;2-9"},{"key":"B21","volume-title":"Signal detection theory and psychophysics","author":"Green D. 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