{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T21:07:30Z","timestamp":1743023250289,"version":"3.40.3"},"publisher-location":"Cham","reference-count":19,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319608150"},{"type":"electronic","value":"9783319608167"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"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":[[2017]]},"DOI":"10.1007\/978-3-319-60816-7_2","type":"book-chapter","created":{"date-parts":[[2017,6,20]],"date-time":"2017-06-20T05:42:40Z","timestamp":1497937360000},"page":"9-17","source":"Crossref","is-referenced-by-count":0,"title":["Multi-Enzyme Pathway Optimisation Through Star-Shaped Reachable Sets"],"prefix":"10.1007","author":[{"given":"Stanislav","family":"Mazurenko","sequence":"first","affiliation":[]},{"given":"Jiri","family":"Damborsky","sequence":"additional","affiliation":[]},{"given":"Zbynek","family":"Prokop","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,6,21]]},"reference":[{"issue":"W1","key":"2_CR1","doi-asserted-by":"crossref","first-page":"W389","DOI":"10.1093\/nar\/gku362","volume":"42","author":"P Carbonell","year":"2014","unstructured":"Carbonell, P., Parutto, P., Herisson, J., Pandit, S.B., Faulon, J.L.: XTMS: pathway design in an eXTended metabolic space. Nucleic Acids Res. 42(W1), W389\u2013W394 (2014)","journal-title":"Nucleic Acids Res."},{"issue":"22","key":"2_CR2","doi-asserted-by":"crossref","first-page":"5406","DOI":"10.1046\/j.1432-1033.2002.03223.x","volume":"269","author":"E Klipp","year":"2002","unstructured":"Klipp, E., Heinrich, R., Holzh\u00fctter, H.G.: Prediction of temporal gene expression. Eur. J. Biochem. 269(22), 5406\u20135413 (2002)","journal-title":"Eur. J. Biochem."},{"issue":"2","key":"2_CR3","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1007\/s11228-015-0345-4","volume":"24","author":"S Mazurenko","year":"2016","unstructured":"Mazurenko, S.: Partial differential equation for evolution of star-shaped reachability domains of differential inclusions. Set-Valued Variational Anal. 24(2), 333\u2013354 (2016)","journal-title":"Set-Valued Variational Anal."},{"issue":"1","key":"2_CR4","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1137\/0301006","volume":"1","author":"A Filippov","year":"1962","unstructured":"Filippov, A.: On certain questions in the theory of optimal control. J. Soc. Ind. Appl. Math. Ser. A Control 1(1), 76\u201384 (1962)","journal-title":"J. Soc. Ind. Appl. Math. Ser. A Control"},{"key":"2_CR5","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-69512-4","volume-title":"Differential Inclusions: Set-Valued Maps and Viability Theory","author":"JP Aubin","year":"1984","unstructured":"Aubin, J.P., Cellina, A.: Differential Inclusions: Set-Valued Maps and Viability Theory, vol. 264. Springer, Heidelberg (1984)"},{"issue":"3","key":"2_CR6","doi-asserted-by":"crossref","first-page":"925","DOI":"10.1007\/s10910-014-0458-2","volume":"53","author":"L Bayon","year":"2015","unstructured":"Bayon, L., Otero, J.A., Ruiz, M.M., Su\u00e1rez, P.M., Tasis, C.: Sensitivity analysis of a linear and unbranched chemical process with n steps. J. Math. Chem. 53(3), 925\u2013940 (2015)","journal-title":"J. Math. Chem."},{"issue":"13","key":"2_CR7","doi-asserted-by":"crossref","first-page":"1891","DOI":"10.1002\/cbic.201402265","volume":"15","author":"P Dvorak","year":"2014","unstructured":"Dvorak, P., Kurumbang, N.P., Bendl, J., Brezovsky, J., Prokop, Z., Damborsky, J.: Maximizing the efficiency of multienzyme process by stoichiometry optimization. ChemBioChem 15(13), 1891\u20131895 (2014)","journal-title":"ChemBioChem"},{"issue":"1","key":"2_CR8","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/S0006-3495(99)76869-4","volume":"77","author":"M Llorens","year":"1999","unstructured":"Llorens, M., Nu\u00f1o, J.C., Rodr\u00edguez, Y., Mel\u00e9ndez-Hevia, E., Montero, F.: Generalization of the theory of transition times in metabolic pathways: a geometrical approach. Biophys. J. 77(1), 23\u201336 (1999)","journal-title":"Biophys. J."},{"issue":"1","key":"2_CR9","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/j.biosystems.2010.04.007","volume":"101","author":"M Bartl","year":"2010","unstructured":"Bartl, M., Li, P., Schuster, S.: Modelling the optimal timing in metabolic pathway activation \u2013 use of Pontryagin\u2019s Maximum Principle and role of the Golden section. Biosystems 101(1), 67\u201377 (2010)","journal-title":"Biosystems"},{"issue":"8","key":"2_CR10","doi-asserted-by":"crossref","first-page":"1851","DOI":"10.1007\/s11538-009-9427-5","volume":"71","author":"DA Oyarzun","year":"2009","unstructured":"Oyarzun, D.A., Ingalls, B.P., Middleton, R.H., Kalamatianos, D.: Sequential activation of metabolic pathways: a dynamic optimization approach. Bull. Math. Biol. 71(8), 1851\u20131872 (2009)","journal-title":"Bull. Math. Biol."},{"issue":"1","key":"2_CR11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1186\/1752-0509-8-1","volume":"8","author":"GM Hijas-Liste","year":"2014","unstructured":"Hijas-Liste, G.M., Klipp, E., Balsa-Canto, E., Banga, J.R.: Global dynamic optimization approach to predict activation in metabolic pathways. BMC Syst. Biol. 8(1), 1 (2014)","journal-title":"BMC Syst. Biol."},{"key":"2_CR12","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-10277-1","volume-title":"Dynamics and Control of Trajectory Tubes. Theory and Computation","author":"AB Kurzhanski","year":"2014","unstructured":"Kurzhanski, A.B., Varaiya, P.: Dynamics and Control of Trajectory Tubes. Theory and Computation. Birkhauser, Basel, (2014)"},{"issue":"7","key":"2_CR13","doi-asserted-by":"crossref","first-page":"947","DOI":"10.1109\/TAC.2005.851439","volume":"50","author":"IM Mitchell","year":"2005","unstructured":"Mitchell, I.M., Bayen, A.M., Tomlin, C.J.: A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games. IEEE Trans. Autom. Control 50(7), 947\u2013957 (2005)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"3","key":"2_CR14","first-page":"213","volume":"27","author":"AI Panasyuk","year":"1980","unstructured":"Panasyuk, A.I., Panasyuk, V.I.: An equation generated by a differential inclusion. Math. Notes Acad. Sci. USSR 27(3), 213\u2013218 (1980)","journal-title":"Math. Notes Acad. Sci. USSR"},{"issue":"2","key":"2_CR15","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/j.nahs.2009.03.009","volume":"4","author":"M Althoff","year":"2010","unstructured":"Althoff, M., Stursberg, O., Buss, M.: Computing reachable sets of hybrid systems using a combination of zonotopes and polytopes. Nonlinear Anal. Hybrid Syst. 4(2), 233\u2013249 (2010)","journal-title":"Nonlinear Anal. Hybrid Syst."},{"key":"2_CR16","unstructured":"Mazurenko, S.S.: Viscosity Solutions to Evolution of Star-Shaped Reachable Sets (2016). Submitted and is currently under review"},{"key":"2_CR17","doi-asserted-by":"crossref","unstructured":"Kurzhanski, A.B., Filippova, T.F.: On the theory of trajectory tubes - a mathematical formalism for uncertain dynamics, viability and control. In: Advances in Nonlinear Dynamics and Control, pp. 122\u2013188. Birkhauser, Boston (1993)","DOI":"10.1007\/978-1-4612-0349-0_4"},{"issue":"167","key":"2_CR18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0025-5718-1984-0744921-8","volume":"43","author":"MG Crandall","year":"1984","unstructured":"Crandall, M.G., Lions, P.L.: Two approximations of solutions of Hamilton-Jacobi equations. Math. Comput. 43(167), 1\u201319 (1984)","journal-title":"Math. Comput."},{"issue":"1","key":"2_CR19","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0022-0396(85)90136-6","volume":"59","author":"PE Souganidis","year":"1985","unstructured":"Souganidis, P.E.: Approximation schemes for viscosity solutions of Hamilton-Jacobi equations. J. Differ. Eqn. 59(1), 1\u201343 (1985)","journal-title":"J. Differ. Eqn."}],"container-title":["Advances in Intelligent Systems and Computing","11th International Conference on Practical Applications of Computational Biology & Bioinformatics"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-60816-7_2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,24]],"date-time":"2023-08-24T02:47:25Z","timestamp":1692845245000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-60816-7_2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319608150","9783319608167"],"references-count":19,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-60816-7_2","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"type":"print","value":"2194-5357"},{"type":"electronic","value":"2194-5365"}],"subject":[],"published":{"date-parts":[[2017]]}}}