{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T20:23:57Z","timestamp":1759091037228},"publisher-location":"Berlin, Heidelberg","reference-count":19,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540734321"},{"type":"electronic","value":"9783540734338"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-73433-8_2","type":"book-chapter","created":{"date-parts":[[2007,8,11]],"date-time":"2007-08-11T10:36:40Z","timestamp":1186828600000},"page":"15-22","source":"Crossref","is-referenced-by-count":4,"title":["Discrete Models of Biochemical Networks: The Toric Variety of Nested Canalyzing Functions"],"prefix":"10.1007","author":[{"given":"Abdul S.","family":"Jarrah","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Reinhard","family":"Laubenbacher","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"2_CR1","doi-asserted-by":"crossref","unstructured":"Adams, W.W., Loustaunau, P.: An introduction to Gr\u00f6bner bases. Graduate Studies in Mathematics. American Mathematical Society, vol.\u00a03. Providence, RI (1994)","DOI":"10.1090\/gsm\/003"},{"key":"2_CR2","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1007\/s00026-004-0230-6","volume":"8","author":"O. Col\u00f3n-Reyes","year":"2004","unstructured":"Col\u00f3n-Reyes, O., Laubenbacher, R., Pareigis, B.: Boolean monomial dynamical systems. Ann. Comb.\u00a08, 425\u2013439 (2004)","journal-title":"Ann. Comb."},{"key":"2_CR3","doi-asserted-by":"crossref","unstructured":"Dimitrova, E., Jarrah, A.S., Laubenbacher, R., Stigler, B.: A.Gr\u00f6bner fan-based method for biochemical network modeling (submitted, 2007)","DOI":"10.1145\/1277548.1277566"},{"key":"2_CR4","unstructured":"Dimitrova, E., McGee, J., Vera-Licona, P., Laubenbacher, R.: A comparison of discretization methods for biochemical network inference (submitted, 2007)"},{"key":"2_CR5","first-page":"498","volume":"9","author":"I. Gat-Viks","year":"2004","unstructured":"Gat-Viks, I., Shamir, R., Karp, R.M., Sharan, R.: Reconstructing chain functions in genetic networks. Pacific Symp. Biocomputing\u00a09, 498\u2013509 (2004)","journal-title":"Pacific Symp. Biocomputing"},{"key":"2_CR6","doi-asserted-by":"crossref","unstructured":"Jarrah, A., Laubenbacher, R., Stigler, B., Stillman, M.: Reverse-engineering of polynomial dynamical systems. Adv. Appl. Math. (in press, 2006)","DOI":"10.1016\/j.aam.2006.08.004"},{"key":"2_CR7","doi-asserted-by":"crossref","unstructured":"Jarrah, A., Raposa, B., Laubenbacher, R.: Nested canalyzing, unate cascade, and polynomial functions. Physica D, page under revision (2006)","DOI":"10.1016\/j.physd.2007.06.022"},{"issue":"25","key":"2_CR8","doi-asserted-by":"publisher","first-page":"14796","DOI":"10.1073\/pnas.2036429100","volume":"100","author":"S. Kauffman","year":"2003","unstructured":"Kauffman, S., Peterson, C., Samuelsson, B., Troein, C.: Random Boolean network models and the yeast transcriptional network. PNAS\u00a0100(25), 14796\u201314799 (2003)","journal-title":"PNAS"},{"issue":"49","key":"2_CR9","doi-asserted-by":"publisher","first-page":"17102","DOI":"10.1073\/pnas.0407783101","volume":"101","author":"S. Kauffman","year":"2004","unstructured":"Kauffman, S., Peterson, C., Samuelsson, B., Troein, C.: Genetic networks with canalyzing Boolean rules are always stable. PNAS\u00a0101(49), 17102\u201317107 (2004)","journal-title":"PNAS"},{"issue":"3","key":"2_CR10","doi-asserted-by":"publisher","first-page":"437","DOI":"10.1016\/0022-5193(69)90015-0","volume":"22","author":"S.A. Kauffman","year":"1969","unstructured":"Kauffman, S.A.: Metabolic stability and epigenesis in randomly constructed genetic nets. J. Theor. Biol.\u00a022(3), 437\u2013467 (1969)","journal-title":"J. Theor. Biol."},{"key":"2_CR11","volume-title":"The Origins of Order: Self\u2013Organization and Selection in Evolution","author":"S.A. Kauffman","year":"1993","unstructured":"Kauffman, S.A.: The Origins of Order: Self\u2013Organization and Selection in Evolution. Oxford University Press, New York, Oxford (1993)"},{"key":"2_CR12","doi-asserted-by":"publisher","first-page":"523","DOI":"10.1016\/j.jtbi.2004.04.037","volume":"229","author":"R. Laubenbacher","year":"2004","unstructured":"Laubenbacher, R., Stigler, B.: A computational algebra approach to the reverse engineering of gene regulatory networks. J. Theor. Biol.\u00a0229, 523\u2013537 (2004)","journal-title":"J. Theor. Biol."},{"issue":"21","key":"2_CR13","doi-asserted-by":"publisher","first-page":"218","DOI":"10.1103\/PhysRevLett.94.218702","volume":"94","author":"A.A. Moreira","year":"2005","unstructured":"Moreira, A.A., Amaral, L.A.N.: Canalizing Kauffman networks: Nonergodicity and its effect on their critical behavior. Physical Review Letters\u00a094(21), 218\u2013702 (2005)","journal-title":"Physical Review Letters"},{"key":"2_CR14","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1006\/jtbi.2002.3081","volume":"218","author":"L. Raeymaekers","year":"2002","unstructured":"Raeymaekers, L.: Dynamics of boolean networks controlled by biologically meaningful functions. J. Theor. Biol.\u00a0218, 331\u2013341 (2002)","journal-title":"J. Theor. Biol."},{"key":"2_CR15","doi-asserted-by":"crossref","unstructured":"R\u00e4m\u00f6, P., Kesseli, J., Yli-Harja, O.: Stability of functions in boolean models of gene regulatory networks. Chaos 15 (2005)","DOI":"10.1063\/1.1996927"},{"issue":"19","key":"2_CR16","doi-asserted-by":"publisher","first-page":"10724","DOI":"10.1073\/pnas.1534782100","volume":"100","author":"I. Shmulevich","year":"2003","unstructured":"Shmulevich, I., L\u00e4desm\u00e4ki, H., Dougherty, E.R., Astola, J., Zhang, W.: The role of certain post classes of in boolean network models of genetic networks. PNAS\u00a0100(19), 10724\u201310739 (2003)","journal-title":"PNAS"},{"key":"2_CR17","doi-asserted-by":"crossref","first-page":"973","DOI":"10.1007\/BF02460695","volume":"55","author":"E.H. Snoussi","year":"1993","unstructured":"Snoussi, E.H., Thomas, R.: Logical identification of all steady states: the concept of feedback loop characteristic states. Bull. Math. Biol.\u00a055, 973\u2013991 (1993)","journal-title":"Bull. Math. Biol."},{"key":"2_CR18","doi-asserted-by":"crossref","unstructured":"Sturmfels, B.: Gr\u00f6bner bases and convex polytopes, vol\u00a08 of University Lecture Series. American Mathematical Society, Providence, RI (1996)","DOI":"10.1090\/ulect\/008"},{"key":"2_CR19","doi-asserted-by":"publisher","first-page":"563","DOI":"10.1038\/150563a0","volume":"150","author":"C.H. Waddington","year":"1942","unstructured":"Waddington, C.H.: Canalisation of development and the inheritance of acquired characters. Nature\u00a0150, 563\u2013564 (1942)","journal-title":"Nature"}],"container-title":["Lecture Notes in Computer Science","Algebraic Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-73433-8_2.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,13]],"date-time":"2023-05-13T15:19:37Z","timestamp":1683991177000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-73433-8_2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540734321","9783540734338"],"references-count":19,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-73433-8_2","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[]}}