{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T06:49:01Z","timestamp":1725518941577},"publisher-location":"Berlin, Heidelberg","reference-count":32,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540885610"},{"type":"electronic","value":"9783540885627"}],"license":[{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008]]},"DOI":"10.1007\/978-3-540-88562-7_12","type":"book-chapter","created":{"date-parts":[[2008,10,4]],"date-time":"2008-10-04T09:12:53Z","timestamp":1223111573000},"page":"123-140","source":"Crossref","is-referenced-by-count":2,"title":["Automatic Complexity Analysis and Model Reduction of Nonlinear Biochemical Systems"],"prefix":"10.1007","author":[{"given":"Dirk","family":"Lebiedz","sequence":"first","affiliation":[]},{"given":"Dominik","family":"Skanda","sequence":"additional","affiliation":[]},{"given":"Marc","family":"Fein","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"12_CR1","first-page":"273","volume":"317","author":"I. Bauer","year":"1997","unstructured":"Bauer, I., Finocchi, F., Duschl, W.J., Gail, H.-P., Schl\u00f6der, J.P.: Simulation of chemical reactions and dust destruction in protoplanetary accretion discs. Astron. Astrophys.\u00a0317, 273\u2013289 (1997)","journal-title":"Astron. Astrophys."},{"key":"12_CR2","series-title":"Springer Series in Chemical Physics","doi-asserted-by":"publisher","first-page":"102","DOI":"10.1007\/978-3-642-68220-9_8","volume-title":"Modeling of Chemical Reaction Systems","author":"H.G. Bock","year":"1981","unstructured":"Bock, H.G.: Numerical treatment of inverse problems in chemical reaction kinetics. In: Ebert, K.H., Deuflhard, P., J\u00e4ger, W. (eds.) Modeling of Chemical Reaction Systems. Springer Series in Chemical Physics, vol.\u00a018, pp. 102\u2013125. Springer, Heidelberg (1981)"},{"key":"12_CR3","series-title":"Bonner Mathematische Schriften","volume-title":"Randwertproblemmethoden zur Parameteridentifizierung in Systemen nichlinearer Differentialgleichungen","author":"H.G. Bock","year":"1987","unstructured":"Bock, H.G.: Randwertproblemmethoden zur Parameteridentifizierung in Systemen nichlinearer Differentialgleichungen. Bonner Mathematische Schriften, vol.\u00a0183. University of Bonn, Bonn (1987)"},{"key":"12_CR4","volume-title":"Proc. 9th IFAC World Congress Budapest","author":"H.G. Bock","year":"1984","unstructured":"Bock, H.G., Plitt, K.J.: A multiple shooting algorithm for direct solution of optimal control problems. In: Proc. 9th IFAC World Congress Budapest. Pergamon Press, Oxford (1984)"},{"key":"12_CR5","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1515\/zpch-1913-8512","volume":"85","author":"M. Bodenstein","year":"1913","unstructured":"Bodenstein, M.: Eine Theorie der photochemischen Reaktionsgeschwindigkeiten. Z. Phys. Chem.\u00a085, 329\u2013397 (1913)","journal-title":"Z. Phys. Chem."},{"key":"12_CR6","doi-asserted-by":"publisher","first-page":"496","DOI":"10.1039\/CT9130300496","volume":"103","author":"D. Chapman","year":"1913","unstructured":"Chapman, D., Underhill, L.: The interaction of chlorine and hydrogen. The influence of mass. J. Chem. Soc. Trans.\u00a0103, 496\u2013508 (1913)","journal-title":"J. Chem. Soc. Trans."},{"key":"12_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1007\/3-540-36481-1_11","volume-title":"Computational Methods in Systems Biology","author":"K.-H. Cho","year":"2003","unstructured":"Cho, K.-H., Shin, S.-Y., Kim, H.-W., Wolkenhauer, O., McFerran, B., Kolch, W.: Mathematical modeling of the influence of RKIP on the ERK signaling pathway. In: Priami, C. (ed.) CMSB 2003. LNCS, vol.\u00a02602, pp. 127\u2013141. Springer, Heidelberg (2003)"},{"key":"12_CR8","volume-title":"Thermodynamic Theory of Affinity: A Book of Principles","author":"T. Donder de","year":"1936","unstructured":"de Donder, T., van Rysselberghe, P.: Thermodynamic Theory of Affinity: A Book of Principles. Stanford University, Menlo Park (1936)"},{"key":"12_CR9","series-title":"Springer - Lecture Notes in Physics","doi-asserted-by":"crossref","DOI":"10.1007\/b98103","volume-title":"Invariant Manifolds for Physical and Chemical Kinetics","author":"A. Gorban","year":"2005","unstructured":"Gorban, A., Karlin, I.: Invariant Manifolds for Physical and Chemical Kinetics. Springer - Lecture Notes in Physics, vol.\u00a0660. Springer, Heidelberg (2005)"},{"key":"12_CR10","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1016\/j.physrep.2004.03.006","volume":"396","author":"A. Gorban","year":"2004","unstructured":"Gorban, A., Karlin, I., Zinovyev, A.: Constructive methods of invariant manifolds for kinetic problems. Phys. Rep.\u00a0396, 197\u2013403 (2004)","journal-title":"Phys. Rep."},{"key":"12_CR11","doi-asserted-by":"publisher","first-page":"781","DOI":"10.1137\/S1064827596303995","volume":"20","author":"M. Hadjinicolaou","year":"1999","unstructured":"Hadjinicolaou, M., Goussis, D.A.: Asymptotic solutions of stiff PDEs with the CSP method: the reaction diffusion equation. SIAM J. Sci. Comput.\u00a020, 781\u2013810 (1999)","journal-title":"SIAM J. Sci. Comput."},{"key":"12_CR12","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1002\/kin.550260408","volume":"26","author":"S.H. Lam","year":"1994","unstructured":"Lam, S.H., Goussis, D.A.: The CSP method for simplifying kinetics. J. Chem. Kinet.\u00a026, 461\u2013486 (1994)","journal-title":"J. Chem. Kinet."},{"key":"12_CR13","doi-asserted-by":"publisher","first-page":"6890","DOI":"10.1063\/1.1652428","volume":"120","author":"D. Lebiedz","year":"2004","unstructured":"Lebiedz, D.: Computing minimal entropy production trajectories: An approach to model reduction in chemical kinetics. J. Chem. Phys.\u00a0120, 6890\u20136897 (2004)","journal-title":"J. Chem. Phys."},{"key":"12_CR14","doi-asserted-by":"crossref","unstructured":"Lebiedz, D., Kammerer, J., Brandt-Pollmann, U.: Automatic network coupling analysis for dynamical systems based on detailed kinetic models. Phys. Rev. E\u00a072(041911) (2005)","DOI":"10.1103\/PhysRevE.72.041911"},{"key":"12_CR15","series-title":"Fortschritt-Berichte VDI Reihe 3, Verfahrenstechnik","volume-title":"Efficient reduced SQP methods for the optimization of chemical processes described by large sparse DAE models","author":"D.B. Leineweber","year":"1999","unstructured":"Leineweber, D.B.: Efficient reduced SQP methods for the optimization of chemical processes described by large sparse DAE models. Fortschritt-Berichte VDI Reihe 3, Verfahrenstechnik, vol.\u00a0613. VDI-Verlag GmbH, D\u00fcsseldorf (1999)"},{"key":"12_CR16","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1016\/S0098-1354(02)00158-8","volume":"27","author":"D.B. Leineweber","year":"2003","unstructured":"Leineweber, D.B., Sch\u00e4fer, A., Bock, H.G., Schl\u00f6der, J.P.: An efficient multiple shooting based reduced SQP strategy for large-scale dynamic process optimization \u2013 part I: Theoretical aspects. Comput. Chem. Engng.\u00a027, 157\u2013166 (2003)","journal-title":"Comput. Chem. Engng."},{"key":"12_CR17","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1016\/S0098-1354(02)00195-3","volume":"27","author":"D.B. Leineweber","year":"2003","unstructured":"Leineweber, D.B., Sch\u00e4fer, A., Bock, H.G., Schl\u00f6der, J.P.: An efficient multiple shooting based reduced SQP strategy for large-scale dynamic process optimization \u2013 part II: Software aspects and applications. Comput. Chem. Engng.\u00a027, 167\u2013174 (2003)","journal-title":"Comput. Chem. Engng."},{"key":"12_CR18","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/0009-2509(91)80120-N","volume":"46","author":"G. Li","year":"1991","unstructured":"Li, G., Pope, S.B., Rabitz, H.: New approaches to determination of constrained lumping schemes for a reaction system in the whole composition space. Chem. Eng. Sci.\u00a046, 95\u2013111 (1991)","journal-title":"Chem. Eng. Sci."},{"key":"12_CR19","doi-asserted-by":"crossref","first-page":"249","DOI":"10.21136\/AM.1995.134293","volume":"40","author":"U. Maas","year":"1995","unstructured":"Maas, U.: Coupling of chemical reaction with flow and molecular transport. Appl. Math.\u00a040, 249\u2013266 (1995)","journal-title":"Appl. Math."},{"key":"12_CR20","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1007\/s007910050007","volume":"1","author":"U. Maas","year":"1998","unstructured":"Maas, U.: Efficient calculation of intrinsic low-dimensional manifolds for the simplification of chemical kinetics. Springer \u2013 Computing and Visualization in Science\u00a01, 69\u201381 (1998)","journal-title":"Springer \u2013 Computing and Visualization in Science"},{"key":"12_CR21","doi-asserted-by":"publisher","first-page":"239","DOI":"10.1016\/0010-2180(92)90034-M","volume":"88","author":"U. Maas","year":"1992","unstructured":"Maas, U., Pope, S.B.: Simplifying chemical kinetics: Intrinsic low-dimensional manifolds in composition space. Combust. Flame\u00a088, 239\u2013264 (1992)","journal-title":"Combust. Flame"},{"key":"12_CR22","first-page":"333","volume":"49","author":"L. Michaelis","year":"1913","unstructured":"Michaelis, L., Menten, M.L.: Die Kinetik der Invertinwirkung. Biochem. Z.\u00a049, 333\u2013369 (1913)","journal-title":"Biochem. Z."},{"key":"12_CR23","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1021\/cr950223l","volume":"98","author":"M.S. Okino","year":"1998","unstructured":"Okino, M.S., Mavrovouniotis, M.L.: Simplification of mathematical models of chemical systems. Chem. Rev.\u00a098, 391\u2013406 (1998)","journal-title":"Chem. Rev."},{"issue":"1","key":"12_CR24","doi-asserted-by":"publisher","first-page":"2","DOI":"10.1049\/iet-syb:20050030","volume":"1","author":"V. Petrov","year":"2007","unstructured":"Petrov, V., Nikolova, E., Wolkenhauer, O.: Reduction of nonlinear dynamic systems with an application to signal transduction pathways. IET Syst. Biol.\u00a01(1), 2\u20139 (2007)","journal-title":"IET Syst. Biol."},{"key":"12_CR25","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1146\/annurev.pc.34.100183.002223","volume":"34","author":"H. Rabitz","year":"1983","unstructured":"Rabitz, H., Kramer, M., Dacol, D.: Sensitivity analysis in chemical kinetics. Annu. Rev. Phys. Chem.\u00a034, 419\u2013461 (1983)","journal-title":"Annu. Rev. Phys. Chem."},{"key":"12_CR26","doi-asserted-by":"publisher","first-page":"1712","DOI":"10.1021\/jp0739925","volume":"112","author":"V. Reinhardt","year":"2008","unstructured":"Reinhardt, V., Winckler, M., Lebiedz, D.: Approximation of slow attracting manifolds by trajectory-based optimization approaches. J. Phys. Chem. A\u00a0112, 1712\u20131718 (2008)","journal-title":"J. Phys. Chem. A"},{"key":"12_CR27","doi-asserted-by":"crossref","unstructured":"Shaik, O.S., Kammerer, J., G\u00f3recki, J., Lebiedz, D.: Derivation of a quantitative minimal model for the photosensitive Belousov-Zhabotinsky reaction from a detailed elementary-step mechanism. J. Chem. Phys.\u00a0123(234103) (2005)","DOI":"10.1063\/1.2136882"},{"key":"12_CR28","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1016\/0010-2180(92)90094-6","volume":"91","author":"A.S. Tomlin","year":"1992","unstructured":"Tomlin, A.S., Pilling, M.J., Tur\u00e1nyi, T., Merkin, J.H., Brindley, J.: Mechanism reduction for the oscillatory oxidation of hydrogen sensitivity and quasi-steady state analyses. Combust. Flame\u00a091, 107\u2013130 (1992)","journal-title":"Combust. Flame"},{"key":"12_CR29","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719574","volume-title":"Numerical Linear Algebra","author":"L.N. Trefethen","year":"1997","unstructured":"Trefethen, L.N., Bau, D.: Numerical Linear Algebra. SIAM, Philadelphia (1997)"},{"key":"12_CR30","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1007\/BF01166355","volume":"5","author":"T. Tur\u00e1nyi","year":"1990","unstructured":"Tur\u00e1nyi, T.: Sensitivity analysis of complex kinetic systems. Tools and applications. J. Math. Chem.\u00a05, 203\u2013248 (1990)","journal-title":"J. Math. Chem."},{"key":"12_CR31","volume-title":"Combustion. Physical and Chemical Fundamentals, Modeling and Simulation, Experiments, Pollutant Formation","author":"J. Warnatz","year":"2001","unstructured":"Warnatz, J., Maas, U., Dibble, R.W.: Combustion. Physical and Chemical Fundamentals, Modeling and Simulation, Experiments, Pollutant Formation, 3rd edn. Springer, Heidelberg (2001)","edition":"3"},{"key":"12_CR32","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1007\/978-3-540-32126-2_7","volume":"1","author":"J. Zobeley","year":"2005","unstructured":"Zobeley, J., Lebiedz, D., Kammerer, J., Ishmurzin, A., Kummer, U.: A new time-dependent complexity reduction method for biological systems. Trans. Comput. Syst. Biol.\u00a01, 90\u2013110 (2005)","journal-title":"Trans. Comput. Syst. Biol."}],"container-title":["Lecture Notes in Computer Science","Computational Methods in Systems Biology"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-88562-7_12","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,17]],"date-time":"2021-09-17T20:10:40Z","timestamp":1631909440000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-88562-7_12"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008]]},"ISBN":["9783540885610","9783540885627"],"references-count":32,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-88562-7_12","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2008]]}}}