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               <dc:title>Periodic spatial patterning with a single morphogen</dc:title>
               <dc:creator>Wang, Sheng-Yue</dc:creator>
               <dc:creator>García Ojalvo, Jordi</dc:creator>
               <dc:creator>Elowitz, Michael B.</dc:creator>
               <dc:subject>Pattern formation</dc:subject>
               <dc:subject>Reaction-diffusion</dc:subject>
               <dc:subject>Single morphogen</dc:subject>
               <dc:description>During multicellular development, periodic spatial patterning systems generate repetitive structures, such as digits, vertebrae, and teeth. Turing patterning provides a foundational paradigm for understanding such systems. The simplest Turing systems are believed to require at least two morphogens to generate periodic patterns. Here, using mathematical modeling, we show that a simpler circuit, including only a single diffusible morphogen, is sufficient to generate long-range, spatially periodic patterns that propagate outward from transient initiating perturbations and remain stable after the perturbation is removed. Furthermore, an additional bistable intracellular feedback or operation on a growing cell lattice can make patterning robust to noise. Together, these results show that a single morphogen can be sufficient for robust spatial pattern formation and should provide a foundation for engineering pattern formation in the emerging field of synthetic developmental biology.</dc:description>
               <dc:description>This research was supported by the Allen Discovery Center program under award no. UWSC10142, a Paul G. Allen Frontiers Group advised program of the Paul G. Allen Family Foundation. J.G.-O. was supported by the Spanish Ministry of Science and Innovation and FEDER, under project PGC2018-101251-B-I00, by the “Maria de Maeztu” Programme for Units of Excellence in R&amp;amp;D (grant CEX2018-000792-M), and by the Generalitat de Catalunya. We acknowledge insightful feedback from Elowitz lab members.</dc:description>
               <dc:date>2023-01-16T07:34:38Z</dc:date>
               <dc:date>2023-01-16T07:34:38Z</dc:date>
               <dc:date>2022</dc:date>
               <dc:type>info:eu-repo/semantics/article</dc:type>
               <dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
               <dc:relation>Cell Syst. 2022 Dec 21;13(12):1033-47.e7</dc:relation>
               <dc:relation>info:eu-repo/grantAgreement/ES/2PE/PGC2018-101251-B-I00</dc:relation>
               <dc:rights>© 2022 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).</dc:rights>
               <dc:rights>http://creativecommons.org/licenses/by/4.0/</dc:rights>
               <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
               <dc:publisher>Elsevier</dc:publisher>
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