{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T13:47:12Z","timestamp":1725544032460},"publisher-location":"Berlin, Heidelberg","reference-count":35,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540345978"},{"type":"electronic","value":"9783540345985"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/11764298_23","type":"book-chapter","created":{"date-parts":[[2006,5,19]],"date-time":"2006-05-19T04:37:56Z","timestamp":1148013476000},"page":"253-264","source":"Crossref","is-referenced-by-count":11,"title":["Algorithmic and Complexity Results for Decompositions of Biological Networks into Monotone Subsystems"],"prefix":"10.1007","author":[{"given":"Bhaskar","family":"DasGupta","sequence":"first","affiliation":[]},{"given":"German A.","family":"Enciso","sequence":"additional","affiliation":[]},{"given":"Eduardo","family":"Sontag","sequence":"additional","affiliation":[]},{"given":"Yi","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"23_CR1","doi-asserted-by":"publisher","first-page":"1822","DOI":"10.1073\/pnas.0308265100","volume":"101","author":"D. Angeli","year":"2004","unstructured":"Angeli, D., Ferrell Jr., J.E., Sontag, E.D.: Detection of multi-stability, bifurcations, and hysteresis in a large class of biological positive-feedback systems. Proc. Nat. Acad. Sci. USA\u00a0101, 1822\u20131827 (2004)","journal-title":"Proc. Nat. Acad. Sci. USA"},{"key":"23_CR2","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1016\/j.sysconle.2003.08.003","volume":"51","author":"D. Angeli","year":"2004","unstructured":"Angeli, D., De Leenheer, P., Sontag, E.D.: A small-gain theorem for almost global convergence of monotone systems. Systems and Control Letters\u00a051, 185\u2013202 (2004)","journal-title":"Systems and Control Letters"},{"key":"23_CR3","doi-asserted-by":"publisher","first-page":"1684","DOI":"10.1109\/TAC.2003.817920","volume":"48","author":"D. Angeli","year":"2003","unstructured":"Angeli, D., Sontag, E.D.: Monotone control systems. IEEE Trans. Autom. Control\u00a048, 1684\u20131698 (2003)","journal-title":"IEEE Trans. Autom. Control"},{"key":"23_CR4","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1016\/j.sysconle.2003.08.003","volume":"51","author":"D. Angeli","year":"2004","unstructured":"Angeli, D., Sontag, E.D.: Multistability in monotone I\/O systems. Systems and Control Letters\u00a051, 185\u2013202 (2004)","journal-title":"Systems and Control Letters"},{"key":"23_CR5","first-page":"575","volume-title":"proceedings of the IEEE Conf. Decision and Control, Paradise Island, Bahamas","author":"D. Angeli","year":"2004","unstructured":"Angeli, D., Sontag, E.D.: An analysis of a circadian model using the small-gain approach to monotone systems. In: proceedings of the IEEE Conf. Decision and Control, Paradise Island, Bahamas, December 2004, pp. 575\u2013578. IEEE Publications, Los Alamitos (2004)"},{"key":"23_CR6","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1006\/jtbi.2002.2544","volume":"216","author":"O. Cinquin","year":"2002","unstructured":"Cinquin, O., Demongeot, J.: Positive and negative feedback: striking a balance between necessary antagonists. J. Theor. Biol.\u00a0216, 229\u2013241 (2002)","journal-title":"J. Theor. Biol."},{"key":"23_CR7","doi-asserted-by":"publisher","first-page":"188","DOI":"10.1038\/35018085","volume":"406","author":"G. Dassaw von","year":"2000","unstructured":"von Dassaw, G., Meir, E., Munro, E.M., Odell, G.M.: The segment polarity network is a robust developmental module. Nature\u00a0406, 188\u2013192 (2000)","journal-title":"Nature"},{"key":"23_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-82625-2","volume-title":"Positive Feedback in Natural Systems","author":"D.L. DeAngelis","year":"1986","unstructured":"DeAngelis, D.L., Post, W.M., Travis, C.C.: Positive Feedback in Natural Systems. Springer, New York (1986)"},{"key":"23_CR9","doi-asserted-by":"crossref","unstructured":"Enciso, G.A., Smith, H.L., Sontag, E.D.: Non-monotone systems decomposable into monotone systems with negative feedback. J. of Differential Equations (to appear, 2005)","DOI":"10.1016\/j.jde.2005.05.007"},{"key":"23_CR10","doi-asserted-by":"publisher","first-page":"627","DOI":"10.1007\/s00285-004-0291-5","volume":"49","author":"G. Enciso","year":"2004","unstructured":"Enciso, G., Sontag, E.: On the stability of a model of testosterone dynamics. Journal of Mathematical Biology\u00a049, 627\u2013634 (2004)","journal-title":"Journal of Mathematical Biology"},{"key":"23_CR11","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1016\/j.sysconle.2004.08.003","volume":"54","author":"G. Enciso","year":"2005","unstructured":"Enciso, G., Sontag, E.D.: Monotone systems under positive feedback: multistability and a reduction theorem. Systems and Control Letters\u00a054, 159\u2013168 (2005)","journal-title":"Systems and Control Letters"},{"key":"23_CR12","unstructured":"Enciso, G., Sontag, E.: Global attractivity, I\/O monotone small-gain theorems, and biological delay systems, Discrete and Continuous Dynamical Systems (to appear)"},{"key":"23_CR13","unstructured":"Gedeon, T., Sontag, E.D.: Oscillation in multi-stable monotone system with slowly varying positive feedback. In: Gedeon, T., Sontag, E.D. (eds.) Sixth SIAM Conf. on Control and its Applications, New Orleans (July 2005) (submitted for publication abstract )"},{"issue":"6","key":"23_CR14","doi-asserted-by":"publisher","first-page":"1115","DOI":"10.1145\/227683.227684","volume":"42","author":"M. Goemans","year":"1995","unstructured":"Goemans, M., Williamson, D.: Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. Journal of the ACM\u00a042(6), 1115\u20131145 (1995)","journal-title":"Journal of the ACM"},{"key":"23_CR15","doi-asserted-by":"publisher","first-page":"423","DOI":"10.1137\/0516030","volume":"16","author":"M. Hirsch","year":"1985","unstructured":"Hirsch, M.: Systems of differential equations that are competitive or cooperative II: Convergence almost everywhere. SIAM J. Mathematical Analysis\u00a016, 423\u2013439 (1985)","journal-title":"SIAM J. Mathematical Analysis"},{"key":"23_CR16","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1090\/conm\/017\/706104","volume":"17","author":"M. Hirsch","year":"1983","unstructured":"Hirsch, M.: Differential equations and convergence almost everywhere in strongly monotone flows. Contemporary Mathematics\u00a017, 267\u2013285 (1983)","journal-title":"Contemporary Mathematics"},{"issue":"6","key":"23_CR17","first-page":"805","volume":"2","author":"N. Ingolia","year":"2004","unstructured":"Ingolia, N.: Topology and robustness in the drosophila segment polarity network. Public Library of Science\u00a02(6), 805\u2013815 (2004)","journal-title":"Public Library of Science"},{"key":"23_CR18","doi-asserted-by":"crossref","first-page":"25","DOI":"10.3934\/mbe.2005.2.25","volume":"2","author":"P. Leenheer De","year":"2005","unstructured":"De Leenheer, P., Angeli, D., Sontag, E.D.: On predator-prey systems and small-gain theorems. J. Mathematical Biosciences and Engineering\u00a02, 25\u201342 (2005)","journal-title":"J. Mathematical Biosciences and Engineering"},{"key":"23_CR19","doi-asserted-by":"crossref","unstructured":"De Leenheer, P., Malisoff, M.: Remarks on monotone control systems with multi-valued input-state characteristics. In: proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, Seville, Spain (to appear, 2005)","DOI":"10.1109\/CDC.2005.1583458"},{"key":"23_CR20","doi-asserted-by":"publisher","first-page":"579","DOI":"10.1016\/0022-5193(77)90216-8","volume":"65","author":"J. Lewis","year":"1977","unstructured":"Lewis, J., Slack, J.M., Wolpert, L.: Thresholds in development. J. Theor. Biol.\u00a065, 579\u2013590 (1977)","journal-title":"J. Theor. Biol."},{"key":"23_CR21","unstructured":"Maayan, A., Iyengar, R., Sontag, E.D.: A study of almost-sign consistency on biological networks (in preparation)"},{"key":"23_CR22","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1016\/0022-5193(78)90078-4","volume":"74","author":"H. Meinhardt","year":"1978","unstructured":"Meinhardt, H.: Space-dependent cell determination under the control of morphogen gradient. J. Theor. Biol.\u00a074, 307\u2013321 (1978)","journal-title":"J. Theor. Biol."},{"key":"23_CR23","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1101\/SQB.1961.026.01.048","volume":"26","author":"J. Monod","year":"1961","unstructured":"Monod, J., Jacob, F.: General conclusions: telenomic mechanisms in cellular metabolism, growth, and differentiation. Cold Spring Harbor Symp. Quant. Biol.\u00a026, 389\u2013401 (1961)","journal-title":"Cold Spring Harbor Symp. Quant. Biol."},{"key":"23_CR24","doi-asserted-by":"crossref","DOI":"10.1007\/b98868","volume-title":"Mathematical Biology, I: An introduction","author":"J.D. Murray","year":"2002","unstructured":"Murray, J.D.: Mathematical Biology, I: An introduction. Springer, New York (2002)"},{"key":"23_CR25","doi-asserted-by":"crossref","unstructured":"Oda, K., Matsuoka, Y., Funahashi, A., Kitano, H.: A comprehensive pathway map of epidermal growth factor receptor signaling. Molecular Systems Biology (2005), doi:10.1038\/msb4100014","DOI":"10.1038\/msb4100014"},{"key":"23_CR26","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1142\/S0218339095000381","volume":"3","author":"E. Plathe","year":"1995","unstructured":"Plathe, E., Mestl, T., Omholt, S.W.: Feedback loops, stability and multistationarity in dynamical systems. J. Biol. Syst.\u00a03, 409\u2013413 (1995)","journal-title":"J. Biol. Syst."},{"issue":"suppl. 2","key":"23_CR27","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1093\/bioinformatics\/btg1075","volume":"19","author":"E. Remy","year":"2003","unstructured":"Remy, E., Mosse, B., Chaouiya, C., Thieffry, D.: A description of dynamical graphs associated to elementary regulatory circuits. Bioinformatics\u00a019 (suppl. 2), ii172\u2013ii178 (2003)","journal-title":"Bioinformatics"},{"key":"23_CR28","unstructured":"Shmulevich, I., Sontag, E.D.: Order and Distance to Monotonicity in Boolean Networks (in preparation)"},{"key":"23_CR29","unstructured":"Smith, H.L.: Monotone Dynamical Systems, Providence, R.I., AMS (1995)"},{"key":"23_CR30","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1137\/1030003","volume":"30","author":"H.L. Smith","year":"1988","unstructured":"Smith, H.L.: Systems of ordinary differential equations wich generate an order-preserving flow: A survey of results. SIAM Revews\u00a030, 87\u2013111 (1988)","journal-title":"SIAM Revews"},{"key":"23_CR31","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1142\/S0218339098000042","volume":"6","author":"E.H. Snoussi","year":"1998","unstructured":"Snoussi, E.H.: Necessary conditions for multistationarity and stable periodicity. J. Biol. Syst.\u00a06, 39 (1998)","journal-title":"J. Biol. Syst."},{"key":"23_CR32","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1049\/sb:20045006","volume":"1","author":"E.D. Sontag","year":"2004","unstructured":"Sontag, E.D.: Some new directions in control theory inspired by systems biology. Systems Biology\u00a01, 9\u201318 (2004)","journal-title":"Systems Biology"},{"key":"23_CR33","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-0374-9","volume-title":"Mathematical Control Theory: Deterministic Finite Dimensional Systems","author":"E.D. Sontag","year":"1990","unstructured":"Sontag, E.D.: Mathematical Control Theory: Deterministic Finite Dimensional Systems, (2nd edn. 1998) Springer, New York (1990)","edition":"2"},{"key":"23_CR34","doi-asserted-by":"publisher","first-page":"631656","DOI":"10.1016\/0022-5193(78)90127-3","volume":"73","author":"R. Thomas","year":"1978","unstructured":"Thomas, R.: Logical analysis of systems comprising feedback loops. J. Theor. Biol.\u00a073, 631656 (1978)","journal-title":"J. Theor. Biol."},{"key":"23_CR35","unstructured":"Volpert, A.I., Volpert, V.A., Volpert, V.A.: Traveling Wave Solutions of Parabolic Systems, Translations of Mathematical Monographs, AMS, vol.\u00a0140 (2000)"}],"container-title":["Lecture Notes in Computer Science","Experimental Algorithms"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11764298_23.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,7]],"date-time":"2023-05-07T09:09:23Z","timestamp":1683450563000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11764298_23"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540345978","9783540345985"],"references-count":35,"URL":"https:\/\/doi.org\/10.1007\/11764298_23","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2006]]}}}