{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T04:17:34Z","timestamp":1769746654958,"version":"3.49.0"},"reference-count":50,"publisher":"American Association for the Advancement of Science (AAAS)","issue":"2","funder":[{"DOI":"10.13039\/501100002347","name":"Bundesministerium f\u00fcr Bildung und Forschung","doi-asserted-by":"crossref","award":["ID0E1EDI14169"],"award-info":[{"award-number":["ID0E1EDI14169"]}],"id":[{"id":"10.13039\/501100002347","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100002347","name":"Bundesministerium f\u00fcr Bildung und Forschung","doi-asserted-by":"crossref","award":["03SF0472E"],"award-info":[{"award-number":["03SF0472E"]}],"id":[{"id":"10.13039\/501100002347","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Max-Planck-Gesellschaft","award":["ID0EMTDI14170"],"award-info":[{"award-number":["ID0EMTDI14170"]}]},{"DOI":"10.13039\/501100005155","name":"Azrieli Foundation","doi-asserted-by":"crossref","award":["ID0E4BAK14171"],"award-info":[{"award-number":["ID0E4BAK14171"]}],"id":[{"id":"10.13039\/501100005155","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sci. Adv."],"published-print":{"date-parts":[[2017,2,3]]},"abstract":"<jats:p>Recording only the statistics of driven, asynchronous dynamics reveals a network\u2019s interaction structure.<\/jats:p>","DOI":"10.1126\/sciadv.1600396","type":"journal-article","created":{"date-parts":[[2017,2,11]],"date-time":"2017-02-11T02:05:17Z","timestamp":1486778717000},"source":"Crossref","is-referenced-by-count":70,"title":["Revealing physical interaction networks from statistics of collective dynamics"],"prefix":"10.1126","volume":"3","author":[{"given":"Mor","family":"Nitzan","sequence":"first","affiliation":[{"name":"Racah Institute of Physics, Hebrew University of Jerusalem, 9190401 Jerusalem, Israel."},{"name":"Faculty of Medicine, Hebrew University of Jerusalem, 9112001 Jerusalem, Israel."},{"name":"School of Computer Science, Hebrew University of Jerusalem, 9190401 Jerusalem, Israel."}]},{"given":"Jose","family":"Casadiego","sequence":"additional","affiliation":[{"name":"Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, 37077 G\u00f6ttingen, Germany."},{"name":"International Max Planck Research School for Physics of Biological and Complex Systems, 37077 G\u00f6ttingen, Germany."}]},{"given":"Marc","family":"Timme","sequence":"additional","affiliation":[{"name":"Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, 37077 G\u00f6ttingen, Germany."},{"name":"International Max Planck Research School for Physics of Biological and Complex Systems, 37077 G\u00f6ttingen, Germany."},{"name":"Technical University of Dresden, Institute for Theoretical Physics, 01062 Dresden, Germany."},{"name":"Bernstein Center for Computational Neuroscience, 37077 G\u00f6ttingen, Germany."},{"name":"Department of Physics, Technical University of Darmstadt, 64289 Darmstadt, Germany."}]}],"member":"221","reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1038\/35065725"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1038\/nrm2503"},{"key":"e_1_3_2_4_2","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1038\/nrg2499","article-title":"The evolution of hierarchical gene regulatory networks","volume":"10","author":"Erwin D. H.","year":"2009","unstructured":"D. H. Erwin, E. H. Davidson, The evolution of hierarchical gene regulatory networks. Nat. Rev. Genet. 10, 141\u2013148 (2009).","journal-title":"Nat. Rev. Genet."},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1038\/nature09645"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.1081900"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1038\/nature12450"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.0010042"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1038\/nature04701"},{"key":"e_1_3_2_10_2","doi-asserted-by":"crossref","unstructured":"B. Drossel A. J. McKane Modelling food webs in Handbook of Graphs and Networks: From the Genome to the Internet S. Bornholdt H. G. Schuster Eds. (Wiley-VCH 2003).","DOI":"10.1002\/3527602755.ch10"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1140\/epjb\/e2008-00098-8"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.109.064101"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/14\/8\/083036"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms4969"},{"key":"e_1_3_2_15_2","doi-asserted-by":"crossref","first-page":"046101","DOI":"10.1103\/PhysRevE.85.046101","article-title":"Fair sharing of resources in a supply network with constraints","volume":"85","author":"Carvalho R.","year":"2012","unstructured":"R. Carvalho, L. Buzna, W. Just, D. Helbing, D. K. Arrowsmith, Fair sharing of resources in a supply network with constraints. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 85, 046101 (2012).","journal-title":"Phys. Rev. E Stat. Nonlinear Soft Matter Phys."},{"key":"e_1_3_2_16_2","doi-asserted-by":"crossref","first-page":"012801","DOI":"10.1103\/PhysRevE.89.012801","article-title":"Resiliently evolving supply-demand networks","volume":"89","author":"Rubido N.","year":"2014","unstructured":"N. Rubido, C. Grebogi, M. S. Baptista, Resiliently evolving supply-demand networks. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 89, 012801 (2014).","journal-title":"Phys. Rev. E Stat. Nonlinear Soft Matter Phys."},{"key":"e_1_3_2_17_2","unstructured":"B. L\u00fcnsmann \u201cReconstruction of physical interactions in stationary stochastic network dynamics \u201d thesis University of G\u00f6ttingen Germany (2015)."},{"key":"e_1_3_2_18_2","doi-asserted-by":"crossref","first-page":"1345","DOI":"10.1038\/nn1352","article-title":"Similar network activity from disparate circuit parameters","volume":"7","author":"Prinz A. A.","year":"2004","unstructured":"A. A. Prinz, D. Bucher, E. Marder, Similar network activity from disparate circuit parameters. Nat. Neurosci. 7, 1345\u20131352 (2004).","journal-title":"Nat. Neurosci."},{"key":"e_1_3_2_19_2","doi-asserted-by":"crossref","first-page":"11061","DOI":"10.1038\/ncomms11061","article-title":"Dynamic information routing in complex networks","volume":"7","author":"Kirst C.","year":"2015","unstructured":"C. Kirst, M. Timme, D. Battaglia, Dynamic information routing in complex networks. Nat. Commun. 7, 11061 (2015).","journal-title":"Nat. Commun."},{"key":"e_1_3_2_20_2","doi-asserted-by":"crossref","first-page":"258701","DOI":"10.1103\/PhysRevLett.89.258701","article-title":"Coexistence of regular and irregular dynamics in complex networks of pulse-coupled oscillators","volume":"89","author":"Timme M.","year":"2002","unstructured":"M. Timme, F. Wolf, T. Geisel, Coexistence of regular and irregular dynamics in complex networks of pulse-coupled oscillators. Phys. Rev. Lett. 89, 258701 (2002).","journal-title":"Phys. Rev. Lett."},{"key":"e_1_3_2_21_2","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/47\/34\/343001"},{"key":"e_1_3_2_22_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.85.461"},{"key":"e_1_3_2_23_2","doi-asserted-by":"crossref","first-page":"e1004537","DOI":"10.1371\/journal.pcbi.1004537","article-title":"Untangling brain-wide dynamics in consciousness by cross-embedding","volume":"11","author":"Tajima S.","year":"2015","unstructured":"S. Tajima, T. Yanagawa, N. Fujii, T. Toyoizumi, Untangling brain-wide dynamics in consciousness by cross-embedding. PLOS Comput. Biol. 11, e1004537 (2015).","journal-title":"PLOS Comput. Biol."},{"key":"e_1_3_2_24_2","doi-asserted-by":"crossref","first-page":"013004","DOI":"10.1088\/1367-2630\/13\/1\/013004","article-title":"Inferring network topology from complex dynamics","volume":"13","author":"Shandilya S. G.","year":"2011","unstructured":"S. G. Shandilya, M. Timme, Inferring network topology from complex dynamics. New J. Phys. 13, 013004 (2011).","journal-title":"New J. Phys."},{"key":"e_1_3_2_25_2","doi-asserted-by":"crossref","unstructured":"I. Dzafic P. Mohapatra Impedance based fault location for weakly meshed distribution networks in 2011 IEEE PES Innovative Smart Grid Technologies (IEEE 2011) January 2011 pp. 1\u20136.","DOI":"10.1109\/ISGT.2011.5759194"},{"key":"e_1_3_2_26_2","doi-asserted-by":"crossref","unstructured":"E. Ott Chaos in Dynamical Systems (Cambridge Univ. Press 2002) 478 pp.","DOI":"10.1017\/CBO9780511803260"},{"key":"e_1_3_2_27_2","doi-asserted-by":"crossref","unstructured":"S. Boyd L. Vandenberghe Convex Optimization (Cambridge Univ. Press 2004).","DOI":"10.1017\/CBO9780511804441"},{"key":"e_1_3_2_28_2","doi-asserted-by":"crossref","first-page":"224101","DOI":"10.1103\/PhysRevLett.98.224101","article-title":"Revealing network connectivity from response dynamics","volume":"98","author":"Timme M.","year":"2007","unstructured":"M. Timme, Revealing network connectivity from response dynamics. Phys. Rev. Lett. 98, 224101 (2007).","journal-title":"Phys. Rev. Lett."},{"key":"e_1_3_2_29_2","doi-asserted-by":"crossref","first-page":"026103","DOI":"10.1103\/PhysRevE.77.026103","article-title":"Reconstructing the topology of sparsely connected dynamical networks","volume":"77","author":"Napoletani D.","year":"2008","unstructured":"D. Napoletani, T. D. Sauer, Reconstructing the topology of sparsely connected dynamical networks. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 77, 026103 (2008).","journal-title":"Phys. Rev. E Stat. Nonlinear Soft Matter Phys."},{"key":"e_1_3_2_30_2","doi-asserted-by":"crossref","first-page":"154101","DOI":"10.1103\/PhysRevLett.106.154101","article-title":"Predicting catastrophes in nonlinear dynamical systems by compressive sensing","volume":"106","author":"Wang W.-X.","year":"2011","unstructured":"W.-X. Wang, R. Yang, Y.-C. Lai, V. Kovanis, C. Grebogi, Predicting catastrophes in nonlinear dynamical systems by compressive sensing. Phys. Rev. Lett. 106, 154101 (2011).","journal-title":"Phys. Rev. Lett."},{"key":"e_1_3_2_31_2","doi-asserted-by":"publisher","DOI":"10.1016\/0065-2571(65)90067-1"},{"key":"e_1_3_2_32_2","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1177\/074873099129001037","article-title":"The Goodwin oscillator: On the importance of degradation reactions in the circadian clock","volume":"14","author":"Ruoff P.","year":"1999","unstructured":"P. Ruoff, M. Vinsjevik, C. Monnerjahn, L. Rensing, The Goodwin oscillator: On the importance of degradation reactions in the circadian clock. J. Biol. Rhythms 14, 469\u2013479 (1999).","journal-title":"J. Biol. Rhythms"},{"key":"e_1_3_2_33_2","doi-asserted-by":"crossref","first-page":"e1002585","DOI":"10.1371\/journal.pcbi.1002585","article-title":"Adaptive temperature compensation in circadian oscillations","volume":"8","author":"Fran\u00e7ois P.","year":"2012","unstructured":"P. Fran\u00e7ois, N. Despierre, E. D. Siggia, Adaptive temperature compensation in circadian oscillations. PLOS Comput. Biol. 8, e1002585 (2012).","journal-title":"PLOS Comput. Biol."},{"key":"e_1_3_2_34_2","doi-asserted-by":"crossref","first-page":"984","DOI":"10.1089\/cmb.2007.0029","article-title":"Modeling the Hes1 oscillator","volume":"14","author":"Zeiser S.","year":"2007","unstructured":"S. Zeiser, J. M\u00fcller, V. Liebscher, Modeling the Hes1 oscillator. J. Comput. Biol. 14, 984\u20131000 (2007).","journal-title":"J. Comput. Biol."},{"key":"e_1_3_2_35_2","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2007.914731"},{"key":"e_1_3_2_36_2","doi-asserted-by":"crossref","first-page":"5406","DOI":"10.1109\/TIT.2006.885507","article-title":"Near-optimal signal recovery from random projections: Universal encoding strategies?","volume":"52","author":"Candes E. J.","year":"2006","unstructured":"E. J. Candes, T. Tao, Near-optimal signal recovery from random projections: Universal encoding strategies? IEEE Trans. Inf. Theory 52, 5406\u20135425 (2006).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"e_1_3_2_37_2","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1109\/TIT.2005.862083","article-title":"Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information","volume":"52","author":"Cand\u00e8s E. J.","year":"2006","unstructured":"E. J. Cand\u00e8s, J. Romberg, T. Tao, Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inf. Theory 52, 489\u2013509 (2006).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"e_1_3_2_38_2","doi-asserted-by":"crossref","first-page":"1207","DOI":"10.1002\/cpa.20124","article-title":"Stable signal recovery from incomplete and inaccurate measurements","volume":"59","author":"Candes E. J.","year":"2006","unstructured":"E. J. Candes, J. K. Romberg, T. Tao, Stable signal recovery from incomplete and inaccurate measurements. Commun. Pure Appl. Math. 59, 1207\u20131223 (2006).","journal-title":"Commun. Pure Appl. Math."},{"key":"e_1_3_2_39_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.871582"},{"key":"e_1_3_2_40_2","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1177\/074873098128999934","article-title":"A model for circadian rhythms in Drosophila incorporating the formation of a complex between the PER and TIM proteins","volume":"13","author":"Leloup J.-C.","year":"1998","unstructured":"J.-C. Leloup, A. Goldbeter, A model for circadian rhythms in Drosophila incorporating the formation of a complex between the PER and TIM proteins. J. Biol. Rhythms 13, 70\u201387 (1998).","journal-title":"J. Biol. Rhythms"},{"key":"e_1_3_2_41_2","doi-asserted-by":"crossref","first-page":"48007","DOI":"10.1209\/0295-5075\/81\/48007","article-title":"Driving a network to steady states reveals its cooperative architecture","volume":"81","author":"Yu D.","year":"2008","unstructured":"D. Yu, U. Parlitz, Driving a network to steady states reveals its cooperative architecture. Europhys. Lett. 81, 48007 (2008).","journal-title":"Europhys. Lett."},{"key":"e_1_3_2_42_2","doi-asserted-by":"crossref","first-page":"188701","DOI":"10.1103\/PhysRevLett.97.188701","article-title":"Estimating topology of networks","volume":"97","author":"Yu D.","year":"2006","unstructured":"D. Yu, M. Righero, L. Kocarev, Estimating topology of networks. Phys. Rev. Lett. 97, 188701 (2006).","journal-title":"Phys. Rev. Lett."},{"key":"e_1_3_2_43_2","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1016\/j.physa.2015.03.090","article-title":"Network topology inference from infection statistics","volume":"436","author":"Tomovski I.","year":"2015","unstructured":"I. Tomovski, L. Kocarev, Network topology inference from infection statistics. Phys. A 436, 272\u2013285 (2015).","journal-title":"Phys. A"},{"key":"e_1_3_2_44_2","doi-asserted-by":"publisher","DOI":"10.1126\/science.1188308"},{"key":"e_1_3_2_45_2","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1038\/msb4100110","article-title":"Dynamics of single-cell gene expression","volume":"2","author":"Longo D.","year":"2006","unstructured":"D. Longo, J. Hasty, Dynamics of single-cell gene expression. Mol. Syst. Biol. 2, 64 (2006).","journal-title":"Mol. Syst. Biol."},{"key":"e_1_3_2_46_2","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1006\/jtbi.1999.0924","article-title":"Chaos and birhythmicity in a model for circadian oscillations of the PER and TIM proteins in Drosophila","volume":"198","author":"Leloup J.-C.","year":"1999","unstructured":"J.-C. Leloup, A. Goldbeter, Chaos and birhythmicity in a model for circadian oscillations of the PER and TIM proteins in Drosophila. J. Theor. Biol. 198, 445\u2013459 (1999).","journal-title":"J. Theor. Biol."},{"key":"e_1_3_2_47_2","unstructured":"M. Grant S. Boyd CVX: Matlab Software for Disciplined Convex Programming Version 2.1 (CVX Research 2014); http:\/\/cvxr.com\/cvx."},{"key":"e_1_3_2_48_2","doi-asserted-by":"crossref","unstructured":"M. Grant S. Boyd Graph implementations for non-smooth convex programs Recent Advances in Learning and Control Lecture Notes in Control and Information Sciences V. Blondel S. Boyd H. Kimura Eds. (Springer-Verlag Limited 2008) pp. 95\u2013110.","DOI":"10.1007\/978-1-84800-155-8_7"},{"key":"e_1_3_2_49_2","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(76)90101-8"},{"key":"e_1_3_2_50_2","doi-asserted-by":"publisher","DOI":"10.1137\/S0097539792240406"},{"key":"e_1_3_2_51_2","doi-asserted-by":"crossref","first-page":"4680","DOI":"10.1109\/TIT.2011.2146090","article-title":"Orthogonal matching pursuit for sparse signal recovery with noise","volume":"57","author":"Cai T. T.","year":"2011","unstructured":"T. T. Cai, L. Wang, Orthogonal matching pursuit for sparse signal recovery with noise. IEEE Trans. Inf. Theory 57, 4680\u20134688 (2011).","journal-title":"IEEE Trans. Inf. Theory"}],"container-title":["Science Advances"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.science.org\/doi\/pdf\/10.1126\/sciadv.1600396","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,9]],"date-time":"2024-01-09T18:17:27Z","timestamp":1704824247000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.science.org\/doi\/10.1126\/sciadv.1600396"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,2,3]]},"references-count":50,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,2,3]]}},"alternative-id":["10.1126\/sciadv.1600396"],"URL":"https:\/\/doi.org\/10.1126\/sciadv.1600396","relation":{},"ISSN":["2375-2548"],"issn-type":[{"value":"2375-2548","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,2,3]]},"article-number":"e1600396"}}