{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T21:15:45Z","timestamp":1765228545491,"version":"3.46.0"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2025,11,24]],"date-time":"2025-11-24T00:00:00Z","timestamp":1763942400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2025,11,24]],"date-time":"2025-11-24T00:00:00Z","timestamp":1763942400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"name":"Italian MUR","award":["P2022HXNSC"],"award-info":[{"award-number":["P2022HXNSC"]}]},{"DOI":"10.13039\/501100000780","name":"European Union","doi-asserted-by":"crossref","award":["CUP H73C2200089001\/PE00000014"],"award-info":[{"award-number":["CUP H73C2200089001\/PE00000014"]}],"id":[{"id":"10.13039\/501100000780","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100009112","name":"INdAM","doi-asserted-by":"crossref","award":["CUP E53C22001930001"],"award-info":[{"award-number":["CUP E53C22001930001"]}],"id":[{"id":"10.13039\/100009112","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100007514","name":"Universit\u00e0 di Pisa","doi-asserted-by":"publisher","award":["PRA_2022_99"],"award-info":[{"award-number":["PRA_2022_99"]}],"id":[{"id":"10.13039\/501100007514","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Nat Comput"],"published-print":{"date-parts":[[2025,12]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>We explore the capabilities of , a state-of-the-art toolset based on graph transformation systems, to perform different kinds of analyses of Reaction Systems, ranging from reachability and causal analysis to model checking. Our results are encouraging, as in the presence of large state spaces  improves the time required for both reachability and causal analyses by an order of magnitude, compared to other available tools. From the point of view of , the implementation of Reaction Systems provided some interesting insights on the most convenient way to model certain computational requirements through negative and nested application conditions.<\/jats:p>","DOI":"10.1007\/s11047-025-10045-6","type":"journal-article","created":{"date-parts":[[2025,11,24]],"date-time":"2025-11-24T15:16:07Z","timestamp":1763997367000},"page":"1075-1099","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Experimenting with Reaction Systems using Graph Transformation and GROOVE"],"prefix":"10.1007","volume":"24","author":[{"given":"Roberto","family":"Bruni","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arend","family":"Rensink","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,11,24]]},"reference":[{"unstructured":"Ehrenfeucht A, Rozenberg G (2007) Reaction systems Fundam Informaticae 75(1\u20134):263\u2013280","key":"10045_CR1"},{"issue":"3\u20134","key":"10045_CR2","doi-asserted-by":"publisher","first-page":"299","DOI":"10.3233\/FI-2014-1016","volume":"131","author":"S Azimi","year":"2014","unstructured":"Azimi S, Iancu B, Petre I (2014) Reaction system models for the heat shock response. Fund Inform 131(3\u20134):299\u2013312. https:\/\/doi.org\/10.3233\/FI-2014-1016","journal-title":"Fund Inform"},{"key":"10045_CR3","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/j.tcs.2012.04.003","volume":"454","author":"L Corolli","year":"2012","unstructured":"Corolli L, Maj C, Marini F, Besozzi D, Mauri G (2012) An excursion in reaction systems: From computer science to biology. Theor Comput Sci 454:95\u2013108. https:\/\/doi.org\/10.1016\/j.tcs.2012.04.003","journal-title":"Theor Comput Sci"},{"issue":"(C)","key":"10045_CR4","doi-asserted-by":"publisher","first-page":"20","DOI":"10.1016\/j.tcs.2017.03.047","volume":"701","author":"S Azimi","year":"2017","unstructured":"Azimi S (2017) Steady states of constrained reaction systems. Theor Comput Sci 701((C)):20\u201326. https:\/\/doi.org\/10.1016\/j.tcs.2017.03.047","journal-title":"Theor Comput Sci"},{"issue":"2","key":"10045_CR5","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1007\/s11047-015-9504-7","volume":"15","author":"F Okubo","year":"2016","unstructured":"Okubo F, Yokomori T (2016) The computational capability of chemical reaction automata. Nat Comput 15(2):215\u2013224. https:\/\/doi.org\/10.1007\/s11047-015-9504-7","journal-title":"Nat Comput"},{"issue":"3","key":"10045_CR6","doi-asserted-by":"publisher","first-page":"345","DOI":"10.1142\/S0129054110007295","volume":"21","author":"A Ehrenfeucht","year":"2010","unstructured":"Ehrenfeucht A, Main MG, Rozenberg G (2010) Combinatorics of life and death for reaction systems. Int J Found Comput Sci 21(3):345\u2013356. https:\/\/doi.org\/10.1142\/S0129054110007295","journal-title":"Int J Found Comput Sci"},{"issue":"1","key":"10045_CR7","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1142\/S0129054111007927","volume":"22","author":"A Ehrenfeucht","year":"2011","unstructured":"Ehrenfeucht A, Main MG, Rozenberg G (2011) Functions defined by reaction systems. Int J Found Comput Sci 22(1):167\u2013178. https:\/\/doi.org\/10.1142\/S0129054111007927","journal-title":"Int J Found Comput Sci"},{"doi-asserted-by":"publisher","unstructured":"Bowles J, Brodo L, Bruni R, Falaschi M, Gori R, Milazzo P (2024) Enhancing reaction systems with guards for analysing comorbidity treatment strategies. In: Gori, R., Milazzo, P., Tribastone, M. (eds.) Computational Methods in Systems Biology - 22nd International Conference, CMSB 2024, Pisa, Italy, September 16-18, Proceedings. Lecture Notes in Computer Science, vol. 14971, pp. 27\u201344. Springer, ???. https:\/\/doi.org\/10.1007\/978-3-031-71671-3_3","key":"10045_CR8","DOI":"10.1007\/978-3-031-71671-3_3"},{"doi-asserted-by":"publisher","unstructured":"Brodo L, Bruni R, Falaschi M, Gori R, Milazzo P (2025) Attractor and slicing analysis of a t cell differentiation model based on reaction systems. In: From Data to Models and Back - 11th International Symposium, DataMod 2023, Eindhoven, The Netherlands, November 6-7, 2023, Proceedings. Lecture Notes in Computer Science, vol. 14618, pp. 69\u201389. Springer, ???. https:\/\/doi.org\/10.1007\/978-3-031-87217-4_4","key":"10045_CR9","DOI":"10.1007\/978-3-031-87217-4_4"},{"key":"10045_CR10","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/J.TCS.2021.03.024","volume":"875","author":"L Brodo","year":"2021","unstructured":"Brodo L, Bruni R, Falaschi M (2021) A logical and graphical framework for reaction systems. Theor Comput Sci 875:1\u201327. https:\/\/doi.org\/10.1016\/J.TCS.2021.03.024","journal-title":"Theor Comput Sci"},{"doi-asserted-by":"publisher","unstructured":"Ehrig H, Ehrig K, Prange U, Taentzer G (2006) Fundamentals of Algebraic Graph Transformation. Monographs in Theoretical Computer Science. An EATCS Series. Springer, ???. https:\/\/doi.org\/10.1007\/3-540-31188-2","key":"10045_CR11","DOI":"10.1007\/3-540-31188-2"},{"doi-asserted-by":"publisher","unstructured":"Heckel R, Taentzer G (2020) Graph Transformation for Software Engineers - With Applications to Model-Based Development and Domain-Specific Language Engineering. Springer, ??? . https:\/\/doi.org\/10.1007\/978-3-030-43916-3","key":"10045_CR12","DOI":"10.1007\/978-3-030-43916-3"},{"doi-asserted-by":"publisher","unstructured":"Kreowski H, Rozenberg G (2019) Graph transformation through graph surfing in reaction systems. J. Log. Algebraic Methods Program. 109. https:\/\/doi.org\/10.1016\/J.JLAMP.2019.100481","key":"10045_CR13","DOI":"10.1016\/J.JLAMP.2019.100481"},{"issue":"1","key":"10045_CR14","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1007\/S10009-011-0186-X","volume":"14","author":"AH Ghamarian","year":"2012","unstructured":"Ghamarian AH, Mol M, Rensink A, Zambon E, Zimakova M (2012) Modelling and analysis using GROOVE. Int J Softw Tools Technol Transf 14(1):15\u201340. https:\/\/doi.org\/10.1007\/S10009-011-0186-X","journal-title":"Int J Softw Tools Technol Transf"},{"doi-asserted-by":"publisher","unstructured":"Ballis D, Brodo L, Falaschi M, Olarte C (2024) Process calculi and rewriting techniques for analyzing reaction systems. In: Gori, R., Milazzo, P., Tribastone, M. (eds.) Computational Methods in Systems Biology - 22nd International Conference, CMSB 2024, Pisa, Italy, September 16-18, 2024, Proceedings. Lecture Notes in Computer Science, vol. 14971, pp. 1\u201318. Springer, ???. https:\/\/doi.org\/10.1007\/978-3-031-71671-3_1","key":"10045_CR15","DOI":"10.1007\/978-3-031-71671-3_1"},{"key":"10045_CR16","first-page":"17","volume":"60\u201361","author":"GD Plotkin","year":"2004","unstructured":"Plotkin GD (2004) A structural approach to operational semantics. J Log Algebraic Methods Program 60\u201361:17\u2013139","journal-title":"J Log Algebraic Methods Program"},{"doi-asserted-by":"crossref","unstructured":"Milner R (1980) A Calculus of Communicating Systems. LNCS, vol. 92. Springer, ???","key":"10045_CR17","DOI":"10.1007\/3-540-10235-3"},{"unstructured":"Rensink A(2024) The GROOVE tool set, https:\/\/github.com\/nl-utwente-groove\/code\/releases\/tag\/release-7_0_1version 7.0.1. Available at https:\/\/github.com\/nl-utwente-groove\/code","key":"10045_CR18"},{"issue":"2","key":"10045_CR19","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1007\/S11047-024-09976-3","volume":"23","author":"L Brodo","year":"2024","unstructured":"Brodo L, Bruni R, Falaschi M (2024) A framework for monitored dynamic slicing of reaction systems. Nat Comput 23(2):217\u2013234. https:\/\/doi.org\/10.1007\/S11047-024-09976-3","journal-title":"Nat Comput"},{"issue":"4","key":"10045_CR20","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1007\/S10009-024-00757-Y","volume":"26","author":"L Brodo","year":"2024","unstructured":"Brodo L, Bruni R, Falaschi M, Gori R, Milazzo P, Montagna V, Pulieri P (2024) Causal analysis of positive reaction systems. Int J Softw Tools Technol Transf 26(4):509\u2013526. https:\/\/doi.org\/10.1007\/S10009-024-00757-Y","journal-title":"Int J Softw Tools Technol Transf"},{"issue":"7185","key":"10045_CR21","doi-asserted-by":"publisher","first-page":"728","DOI":"10.1136\/bmj.318.7185.728","volume":"318","author":"G Feder","year":"1999","unstructured":"Feder G, Eccles M, Grol R, Griffiths C, Grimshaw J (1999) Using clinical guidelines Bmj 318(7185):728\u2013730. https:\/\/doi.org\/10.1136\/bmj.318.7185.728","journal-title":"Using clinical guidelines Bmj"},{"issue":"7182","key":"10045_CR22","doi-asserted-by":"publisher","first-page":"527","DOI":"10.1136\/bmj.318.7182.527","volume":"318","author":"SH Woolf","year":"1999","unstructured":"Woolf SH, Grol R, Hutchinson A, Eccles M, Grimshaw J (1999) Potential benefits, limitations, and harms of clinical guidelines. BMJ 318(7182):527\u2013530. https:\/\/doi.org\/10.1136\/bmj.318.7182.527","journal-title":"BMJ"},{"doi-asserted-by":"publisher","unstructured":"Hughes LD, McMurdo MET, Guthrie B (2013) Guidelines for people not for diseases: the challenges of applying UK clinical guidelines to people with multimorbidity. Age and Ageing 42, 62\u201369. https:\/\/doi.org\/10.1093\/ageing\/afs100","key":"10045_CR23","DOI":"10.1093\/ageing\/afs100"},{"doi-asserted-by":"publisher","unstructured":"Bowles JKF, Caminati MB (2017) A flexible approach for finding optimal paths with minimal conflicts. In: Proceedings of ICFEM 2017. LNCS, vol. 10610, pp. 209\u2013225. Springer, ???. https:\/\/doi.org\/10.1007\/978-3-319-68690-5_13","key":"10045_CR24","DOI":"10.1007\/978-3-319-68690-5_13"},{"doi-asserted-by":"publisher","unstructured":"Clavel M, Dur\u00e1n F, Eker S, Lincoln P, Mart\u00ed-Oliet N, Meseguer J, Talcott CL (eds.) (2007) All About Maude - A High-Performance Logical Framework, How to Specify, Program and Verify Systems in Rewriting Logic. Lecture Notes in Computer Science, vol. 4350. Springer, ???. https:\/\/doi.org\/10.1007\/978-3-540-71999-1","key":"10045_CR25","DOI":"10.1007\/978-3-540-71999-1"},{"doi-asserted-by":"publisher","unstructured":"Heyde SV, Bender C, Henjes F (2014) Boolean erbb network reconstructions and perturbation simulations reveal individual drug response in different breast cancer cell lines. BMC Systems Biology 8, 75. https:\/\/doi.org\/10.1186\/1752-0509-8-75","key":"10045_CR26","DOI":"10.1186\/1752-0509-8-75"},{"key":"10045_CR27","doi-asserted-by":"publisher","DOI":"10.1016\/J.JLAMP.2021.100700","volume":"123","author":"R Rubio","year":"2021","unstructured":"Rubio R, Mart\u00ed-Oliet N, Pita I, Verdejo A (2021) Strategies, model checking and branching-time properties in maude. J Log Algebraic Methods Program 123:100700. https:\/\/doi.org\/10.1016\/J.JLAMP.2021.100700","journal-title":"J Log Algebraic Methods Program"},{"doi-asserted-by":"crossref","unstructured":"Brodo L, Bruni R, Falaschi M, Gori R, Milazzo P (2025) Slicing analyses for negative dependencies in reaction systems modeling gene regulatory networks. Natural Computing. Under review; will hopefully appear in same volume as this paper","key":"10045_CR28","DOI":"10.1007\/s11047-025-10046-5"},{"issue":"8","key":"10045_CR29","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1371\/journal.pcbi.0030163","volume":"3","author":"J Saez-Rodriguez","year":"2007","unstructured":"Saez-Rodriguez J, Simeoni L, Lindquist JA, Hemenway R, Bommhardt U, Arndt B, Haus U-U, Weismantel R, Gilles ED, Klamt S (2007) A logical model provides insights into T cell receptor signaling. PLoS Comput Biol 3(8):163. https:\/\/doi.org\/10.1371\/journal.pcbi.0030163","journal-title":"PLoS Comput Biol"},{"issue":"3","key":"10045_CR30","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1016\/j.mib.2010.04.003","volume":"13","author":"J Thakar","year":"2010","unstructured":"Thakar J, Albert R (2010) Boolean models of within-host immune interactions. Curr Opin Microbiol 13(3):377\u2013381. https:\/\/doi.org\/10.1016\/j.mib.2010.04.003","journal-title":"Curr Opin Microbiol"},{"doi-asserted-by":"publisher","unstructured":"Puniya BL, Todd RG, Mohammed A, Brown DM, Barberis M, Helikar T (2018) A mechanistic computational model reveals that plasticity of CD4+ T cell differentiation is a function of cytokine composition and dosage. Frontiers in physiology 9, 878. https:\/\/doi.org\/10.3389\/fphys.2018.00878","key":"10045_CR31","DOI":"10.3389\/fphys.2018.00878"},{"issue":"2","key":"10045_CR32","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1016\/s1359-6101(98)00009-4","volume":"9","author":"JJ Lafaille","year":"1998","unstructured":"Lafaille JJ (1998) The role of helper T cell subsets in autoimmune diseases. Cytokine & growth factor reviews 9(2):139\u2013151. https:\/\/doi.org\/10.1016\/s1359-6101(98)00009-4","journal-title":"Cytokine & growth factor reviews"},{"issue":"4","key":"10045_CR33","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1093\/intimm\/dxw006","volume":"28","author":"K Hirahara","year":"2016","unstructured":"Hirahara K, Nakayama T (2016) CD4+ T-cell subsets in inflammatory diseases: beyond the T h 1\/T h 2 paradigm. Int Immunol 28(4):163\u2013171. https:\/\/doi.org\/10.1093\/intimm\/dxw006","journal-title":"Int Immunol"},{"issue":"3","key":"10045_CR34","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1038\/nrcardio.2015.169","volume":"13","author":"X Meng","year":"2016","unstructured":"Meng X, Yang J, Dong M, Zhang K, Tu E, Gao Q, Chen W, Zhang C, Zhang Y (2016) Regulatory T cells in cardiovascular diseases. Nat Rev Cardiol 13(3):167\u2013179. https:\/\/doi.org\/10.1038\/nrcardio.2015.169","journal-title":"Nat Rev Cardiol"},{"doi-asserted-by":"publisher","unstructured":"Luckheeram RV, Zhou R, Verma AD, Xia B (2012) CD4+ T cells: differentiation and functions. Clinical and developmental immunology 2012. https:\/\/doi.org\/10.1155\/2012\/925135","key":"10045_CR35","DOI":"10.1155\/2012\/925135"},{"issue":"1","key":"10045_CR36","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/1752-0509-6-96","volume":"6","author":"T Helikar","year":"2012","unstructured":"Helikar T, Kowal B, McClenathan S, Bruckner M, Rowley T, Madrahimov A, Wicks B, Shrestha M, Limbu K, Rogers JA (2012) The cell collective: toward an open and collaborative approach to systems biology. BMC Syst Biol 6(1):1\u201314. https:\/\/doi.org\/10.1186\/1752-0509-6-96","journal-title":"BMC Syst Biol"},{"key":"10045_CR37","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1016\/j.tcs.2015.02.014","volume":"598","author":"S Azimi","year":"2015","unstructured":"Azimi S, Gratie C, Ivanov S, Petre I (2015) Dependency graphs and mass conservation in reaction systems. Theor Comput Sci 598:23\u201339. https:\/\/doi.org\/10.1016\/j.tcs.2015.02.014","journal-title":"Theor Comput Sci"},{"doi-asserted-by":"publisher","unstructured":"Ivanov S, Rogojin V, Azimi S, Petre I (2018) WEBRSIM: A web-based reaction systems simulator. In: D\u00edaz, C.G., Riscos-N\u00fa\u00f1ez, A., Paun, G., Rozenberg, G., Salomaa, A. (eds.) Enjoying Natural Computing - Essays Dedicated to Mario de Jes\u00fas P\u00e9rez-Jim\u00e9nez on the Occasion of His 70th Birthday. Lecture Notes in Computer Science, vol. 11270, pp. 170\u2013181. Springer, ???. https:\/\/doi.org\/10.1007\/978-3-030-00265-7_14","key":"10045_CR38","DOI":"10.1007\/978-3-030-00265-7_14"},{"issue":"1\u20134","key":"10045_CR39","doi-asserted-by":"publisher","first-page":"307","DOI":"10.3233\/FI-2017-1568","volume":"154","author":"MS Nobile","year":"2017","unstructured":"Nobile MS, Porreca AE, Spolaor S, Manzoni L, Cazzaniga P, Mauri G, Besozzi D (2017) Efficient simulation of reaction systems on graphics processing units. Fundam Informaticae 154(1\u20134):307\u2013321. https:\/\/doi.org\/10.3233\/FI-2017-1568","journal-title":"Fundam Informaticae"},{"issue":"1\u20134","key":"10045_CR40","doi-asserted-by":"publisher","first-page":"175","DOI":"10.3233\/FI-2020-1878","volume":"171","author":"C Ferretti","year":"2020","unstructured":"Ferretti C, Leporati A, Manzoni L, Porreca AE (2020) The many roads to the simulation of reaction systems. Fundam Informaticae 171(1\u20134):175\u2013188. https:\/\/doi.org\/10.3233\/FI-2020-1878","journal-title":"Fundam Informaticae"},{"issue":"9","key":"10045_CR41","doi-asserted-by":"publisher","first-page":"6335","DOI":"10.1007\/S00521-022-07935-6","volume":"35","author":"L Brodo","year":"2023","unstructured":"Brodo L, Bruni R, Falaschi M, Gori R, Levi F, Milazzo P (2023) Quantitative extensions of reaction systems based on SOS semantics. Neural Comput Appl 35(9):6335\u20136359. https:\/\/doi.org\/10.1007\/S00521-022-07935-6","journal-title":"Neural Comput Appl"},{"doi-asserted-by":"publisher","unstructured":"Meski A, Penczek W, Rozenberg G (2015) Model checking temporal properties of reaction systems. Inf. Sci. 313, 22\u201342.https:\/\/doi.org\/10.1016\/J.INS.2015.03.048","key":"10045_CR42","DOI":"10.1016\/J.INS.2015.03.048"},{"issue":"2","key":"10045_CR43","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1007\/S11047-024-09989-Y","volume":"23","author":"A Meski","year":"2024","unstructured":"Meski A, Koutny M, Mikulski L, Penczek W (2024) Reaction mining for reaction systems. Nat Comput 23(2):323\u2013343. https:\/\/doi.org\/10.1007\/S11047-024-09989-Y","journal-title":"Nat Comput"},{"unstructured":"Puniya BL (2024) CD4+ T cell Differentiation model webpage on the CellCollective platform. Accessed: 18 March. https:\/\/research.cellcollective.org\/?dashboard=true#module\/6678:1\/cd4-t-cell-differentiation\/1","key":"10045_CR44"}],"container-title":["Natural Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11047-025-10045-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11047-025-10045-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11047-025-10045-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T18:43:58Z","timestamp":1765219438000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11047-025-10045-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,11,24]]},"references-count":44,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2025,12]]}},"alternative-id":["10045"],"URL":"https:\/\/doi.org\/10.1007\/s11047-025-10045-6","relation":{},"ISSN":["1567-7818","1572-9796"],"issn-type":[{"type":"print","value":"1567-7818"},{"type":"electronic","value":"1572-9796"}],"subject":[],"published":{"date-parts":[[2025,11,24]]},"assertion":[{"value":"27 July 2025","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 November 2025","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"Not applicable.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}},{"value":"The authors declare no Conflict of interest.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}