{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,2]],"date-time":"2026-01-02T01:04:09Z","timestamp":1767315849995,"version":"3.48.0"},"publisher-location":"Cham","reference-count":46,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783031979491","type":"print"},{"value":"9783031979507","type":"electronic"}],"license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025]]},"DOI":"10.1007\/978-3-031-97950-7_6","type":"book-chapter","created":{"date-parts":[[2026,1,2]],"date-time":"2026-01-02T00:59:15Z","timestamp":1767315555000},"page":"87-103","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Decomposing the Mutual Information Rate of Physiological Time Series to Assess Higher Order Cardiovascular and\u00a0Respiratory Interactions During Postural Stress"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0455-6466","authenticated-orcid":false,"given":"Helder","family":"Pinto","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6956-6323","authenticated-orcid":false,"given":"Yuri","family":"Antonacci","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7562-5193","authenticated-orcid":false,"given":"Michal","family":"Javorka","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3271-5348","authenticated-orcid":false,"given":"Luca","family":"Faes","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3218-7001","authenticated-orcid":false,"given":"Ana Paula","family":"Rocha","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2026,1,2]]},"reference":[{"issue":"6","key":"6_CR1","doi-asserted-by":"publisher","first-page":"716","DOI":"10.1109\/TAC.1974.1100705","volume":"19","author":"H Akaike","year":"1974","unstructured":"Akaike, H.: A new look at the statistical model identification. IEEE Transactions on Automatic Control 19(6), 716\u2013723 (1974). https:\/\/doi.org\/10.1109\/TAC.1974.1100705","journal-title":"IEEE Transactions on Automatic Control"},{"key":"6_CR2","doi-asserted-by":"publisher","first-page":"149486","DOI":"10.1109\/ACCESS.2021.3124601","volume":"9","author":"Y Antonacci","year":"2021","unstructured":"Antonacci, Y., Minati, L., Nuzzi, D., Mijatovic, G., Pernice, R., Marinazzo, D., Stramaglia, S., Faes, L.: Measuring high-order interactions in rhythmic processes through multivariate spectral information decomposition. IEEE Access 9, 149486\u2013149505 (2021). https:\/\/doi.org\/10.1109\/ACCESS.2021.3124601","journal-title":"IEEE Access"},{"key":"6_CR3","doi-asserted-by":"publisher","first-page":"30638","DOI":"10.1109\/ACCESS.2024.3368637","volume":"12","author":"Y Antonacci","year":"2024","unstructured":"Antonacci, Y., Toppi, J., Pietrabissa, A., Anzolin, A., Astolfi, L.: Measuring connectivity in linear multivariate processes with penalized regression techniques. IEEE Access 12, 30638\u201330652 (2024). https:\/\/doi.org\/10.1109\/ACCESS.2024.3368637","journal-title":"IEEE Access"},{"key":"6_CR4","doi-asserted-by":"publisher","unstructured":"Bar\u00e0, C., Sparacino, L., Pernice, R., Antonacci, Y., Porta, A., Kugiumtzis, D., Faes, L.: Comparison of discretization strategies for the model-free information-theoretic assessment of short-term physiological interactions. Chaos: An Interdisciplinary Journal of Nonlinear Science 33, 33127 (2023). https:\/\/doi.org\/10.1063\/5.0140641","DOI":"10.1063\/5.0140641"},{"key":"6_CR5","doi-asserted-by":"publisher","unstructured":"Battiston, F., Amico, E., Barrat, A., Bianconi, G., de\u00a0Arruda, G.F., Franceschiello, B., Iacopini, I., K\u00e9fi, S., Latora, V., Moreno, Y., Murray, M.M., Peixoto, T.P., Vaccarino, F., Petri, G.: The physics of higher-order interactions in complex systems. Nature Physics 2021 17:10 17, 1093\u20131098 (2021). https:\/\/doi.org\/10.1038\/s41567-021-01371-4","DOI":"10.1038\/s41567-021-01371-4"},{"issue":"2","key":"6_CR6","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1111\/j.1469-8986.1993.tb01731.x","volume":"30","author":"GG Berntson","year":"1993","unstructured":"Berntson, G.G., Cacioppo, J.T., Quigley, K.S.: Respiratory sinus arrhythmia: autonomic origins, physiological mechanisms, and psychophysiological implications. Psychophysiology 30(2), 183\u2013196 (1993). https:\/\/doi.org\/10.1111\/j.1469-8986.1993.tb01731.x","journal-title":"Psychophysiology"},{"key":"6_CR7","doi-asserted-by":"publisher","DOI":"10.1016\/J.CRNEUR.2022.100050","volume":"3","author":"D Candia-Rivera","year":"2022","unstructured":"Candia-Rivera, D.: Brain-heart interactions in the neurobiology of consciousness. Current Research in Neurobiology 3, 100050 (2022). https:\/\/doi.org\/10.1016\/J.CRNEUR.2022.100050","journal-title":"Current Research in Neurobiology"},{"key":"6_CR8","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-79934-2","author":"V Catrambone","year":"2021","unstructured":"Catrambone, V., Valenza, G.: Functional brain-heart interplay: From physiology to advanced methodology of signal processing and modeling. Springer International Publishing (2021). https:\/\/doi.org\/10.1007\/978-3-030-79934-2","journal-title":"Springer International Publishing"},{"key":"6_CR9","unstructured":"Conover, W.J.: Practical nonparametric statistics, vol. 350. John Wiley & Sons (1999)"},{"key":"6_CR10","doi-asserted-by":"publisher","DOI":"10.1002\/047174882X","author":"TM Cover","year":"1999","unstructured":"Cover, T.M.: Elements of information theory. John Wiley & Sons (1999). https:\/\/doi.org\/10.1002\/047174882X","journal-title":"John Wiley & Sons"},{"key":"6_CR11","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1113\/JPHYSIOL.2003.037192","volume":"548","author":"DL Eckberg","year":"2003","unstructured":"Eckberg, D.L.: The human respiratory gate. The Journal of Physiology 548, 339 (2003). https:\/\/doi.org\/10.1113\/JPHYSIOL.2003.037192","journal-title":"The Journal of Physiology"},{"issue":"1","key":"6_CR12","doi-asserted-by":"publisher","first-page":"H6","DOI":"10.1152\/ajpheart.00701.2017","volume":"315","author":"M Elstad","year":"2018","unstructured":"Elstad, M., O\u2019Callaghan, E.L., Smith, A.J., Ben-Tal, A., Ramchandra, R.: Cardiorespiratory interactions in humans and animals: rhythms for life. American Journal of Physiology-Heart and Circulatory Physiology 315(1), H6\u2013H17 (2018). https:\/\/doi.org\/10.1152\/ajpheart.00701.2017","journal-title":"American Journal of Physiology-Heart and Circulatory Physiology"},{"key":"6_CR13","doi-asserted-by":"publisher","unstructured":"Faes, L., Erla, S., Nollo, G.: Measuring connectivity in linear multivariate processes: Definitions, interpretation, and practical analysis. Computational and Mathematical Methods in Medicine 2012 (2012). https:\/\/doi.org\/10.1155\/2012\/140513","DOI":"10.1155\/2012\/140513"},{"key":"6_CR14","doi-asserted-by":"publisher","first-page":"5766","DOI":"10.1109\/TSP.2022.3221892","volume":"70","author":"L Faes","year":"2022","unstructured":"Faes, L., Mijatovic, G., Antonacci, Y., Pernice, R., Bara, C., Sparacino, L., Sammartino, M., Porta, A., Marinazzo, D., Stramaglia, S.: A new framework for the time-and frequency-domain assessment of high-order interactions in networks of random processes. IEEE Transactions on Signal Processing 70, 5766\u20135777 (2022). https:\/\/doi.org\/10.1109\/TSP.2022.3221892","journal-title":"IEEE Transactions on Signal Processing"},{"key":"6_CR15","doi-asserted-by":"publisher","first-page":"290","DOI":"10.1016\/j.compbiomed.2011.02.007","volume":"42","author":"L Faes","year":"2012","unstructured":"Faes, L., Nollo, G., Porta, A.: Non-uniform multivariate embedding to assess the information transfer in cardiovascular and cardiorespiratory variability series. Computers in Biology and Medicine 42, 290\u2013297 (2012). https:\/\/doi.org\/10.1016\/j.compbiomed.2011.02.007","journal-title":"Computers in Biology and Medicine"},{"key":"6_CR16","doi-asserted-by":"publisher","unstructured":"Faes, L., Pernice, R., Mijatovic, G., Antonacci, Y., Krohova, J.C., Javorka, M., Porta, A.: Information decomposition in the frequency domain: a new framework to study cardiovascular and cardiorespiratory oscillations. Philosophical Transactions of the Royal Society A 379 (2021). https:\/\/doi.org\/10.1098\/RSTA.2020.0250","DOI":"10.1098\/RSTA.2020.0250"},{"key":"6_CR17","doi-asserted-by":"publisher","unstructured":"Faes, L., Porta, A., Nollo, G., Javorka, M.: Information decomposition in multivariate systems: Definitions, implementation and application to cardiovascular networks. Entropy 19(1) (2017). https:\/\/doi.org\/10.3390\/e19010005","DOI":"10.3390\/e19010005"},{"issue":"6","key":"6_CR18","doi-asserted-by":"publisher","first-page":"S234","DOI":"10.1152\/advances.1999.277.6.S234","volume":"277","author":"CM Heesch","year":"1999","unstructured":"Heesch, C.M.: Reflexes that control cardiovascular function. Advances in Physiology Education 277(6), S234 (1999). https:\/\/doi.org\/10.1152\/advances.1999.277.6.S234","journal-title":"Advances in Physiology Education"},{"key":"6_CR19","doi-asserted-by":"publisher","unstructured":"James, R.G., Barnett, N., Crutchfield, J.P.: Information flows? a critique of transfer entropies. Physical Review Letters 116 (2016). https:\/\/doi.org\/10.1103\/PhysRevLett.116.238701","DOI":"10.1103\/PhysRevLett.116.238701"},{"key":"6_CR20","doi-asserted-by":"publisher","first-page":"877","DOI":"10.1088\/1361-6579\/aa5b77","volume":"38","author":"M Javorka","year":"2017","unstructured":"Javorka, M., Krohova, J., Czippelova, B., Turianikova, Z., Lazarova, Z., Javorka, K., Faes, L.: Basic cardiovascular variability signals: Mutual directed interactions explored in the information domain. Physiological Measurement 38, 877\u2013894 (2017). https:\/\/doi.org\/10.1088\/1361-6579\/aa5b77","journal-title":"Physiological Measurement"},{"key":"6_CR21","doi-asserted-by":"publisher","DOI":"10.1016\/j.rinam.2020.100107","volume":"7","author":"A Komaee","year":"2020","unstructured":"Komaee, A.: Mutual information rate between stationary gaussian processes. Results in Applied Mathematics 7, 100107 (2020). https:\/\/doi.org\/10.1016\/j.rinam.2020.100107","journal-title":"Results in Applied Mathematics"},{"key":"6_CR22","doi-asserted-by":"publisher","unstructured":"Krohova, J., Faes, L., Czippelova, B., Turianikova, Z., Mazgutova, N., Pernice, R., Busacca, A., Marinazzo, D., Stramaglia, S., Javorka, M.: Multiscale information decomposition dissects control mechanisms of heart rate variability at rest and during physiological stress. Entropy 21 (2019). https:\/\/doi.org\/10.3390\/e21050526","DOI":"10.3390\/e21050526"},{"key":"6_CR23","doi-asserted-by":"publisher","unstructured":"Luppi, A.I., Mediano, P.A., Rosas, F.E., Allanson, J., Pickard, J.D., Carhart-Harris, R.L., Williams, G.B., Craig, M.M., Finoia, P., Owen, A.M., Naci, L., Menon, D.K., Bor, D., Stamatakis, E.A.: A synergistic workspace for human consciousness revealed by integrated information decomposition. eLife 12 (2024). https:\/\/doi.org\/10.7554\/ELIFE.88173.3","DOI":"10.7554\/ELIFE.88173.3"},{"key":"6_CR24","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-27752-1","author":"H L\u00fctkepohl","year":"2005","unstructured":"L\u00fctkepohl, H.: New introduction to multiple time series analysis. Springer Science & Business Media (2005). https:\/\/doi.org\/10.1007\/978-3-540-27752-1","journal-title":"Springer Science & Business Media"},{"key":"6_CR25","doi-asserted-by":"publisher","unstructured":"Martins, A., Pernice, R., Amado, C., Rocha, A.P., Silva, M.E., Javorka, M., Faes, L.: Multivariate and multiscale complexity of long-range correlated cardiovascular and respiratory variability series. Entropy 22 (2020). https:\/\/doi.org\/10.3390\/e22030315","DOI":"10.3390\/e22030315"},{"key":"6_CR26","doi-asserted-by":"publisher","unstructured":"Miao, H., Zhang, F., Tao, R.: Mutual information rate of nonstationary statistical signals. Signal Processing 171 (2020). https:\/\/doi.org\/10.1016\/j.sigpro.2020.107531","DOI":"10.1016\/j.sigpro.2020.107531"},{"issue":"3","key":"6_CR27","doi-asserted-by":"publisher","first-page":"669","DOI":"10.1113\/jphysiol.2002.017483","volume":"542","author":"AC Michael","year":"2002","unstructured":"Michael, A.C., et\u00a0al.: Short-term cardiovascular oscillations in man: measuring and modelling the physiologies. The Journal of Physiology 542(3), 669\u2013683 (2002). https:\/\/doi.org\/10.1113\/jphysiol.2002.017483","journal-title":"The Journal of Physiology"},{"key":"6_CR28","doi-asserted-by":"publisher","unstructured":"Mijatovic, G., Sparacino, L., Antonacci, Y., Javorka, M., Marinazzo, D., Stramaglia, S., Faes, L.: Assessing high-order links in cardiovascular and respiratory networks via static and dynamic information measures. IEEE Open Journal of Engineering in Medicine and Biology pp. 1\u201313 (2024). https:\/\/doi.org\/10.1109\/OJEMB.2024.3374956","DOI":"10.1109\/OJEMB.2024.3374956"},{"issue":"6","key":"6_CR29","doi-asserted-by":"publisher","first-page":"1334","DOI":"10.1161\/HYPERTENSIONAHA.114.03782","volume":"64","author":"O Monfredi","year":"2014","unstructured":"Monfredi, O., Lyashkov, A.E., Johnsen, A.B., Inada, S., Schneider, H., Wang, R., Nirmalan, M., Wisloff, U., Maltsev, V.A., Lakatta, E.G., Zhang, H., Boyett, M.R.: Biophysical characterization of the underappreciated and important relationship between heart rate variability and heart rate. Hypertension 64(6), 1334\u20131343 (2014). https:\/\/doi.org\/10.1161\/HYPERTENSIONAHA.114.03782","journal-title":"Hypertension"},{"key":"6_CR30","doi-asserted-by":"publisher","unstructured":"Pinto, H., Antonacci, Y., Pernice, R., Bar\u00e0, C., Javorka, M., Faes, L., Rocha, A.: Decomposing the mutual information rate of heart period and respiration variability series to assess cardiorespiratory interactions. In: Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS (2023). https:\/\/doi.org\/10.1109\/EMBC40787.2023.10341174","DOI":"10.1109\/EMBC40787.2023.10341174"},{"key":"6_CR31","doi-asserted-by":"publisher","first-page":"1385421","DOI":"10.3389\/FNETP.2024.1385421","volume":"4","author":"H Pinto","year":"2024","unstructured":"Pinto, H., Lazic, I., Antonacci, Y., Pernice, R., Gu, D., Bar\u00e0, C., Faes, L., Rocha, A.P.: Testing dynamic correlations and nonlinearity in bivariate time series through information measures and surrogate data analysis. Frontiers in Network Physiology 4, 1385421 (2024). https:\/\/doi.org\/10.3389\/FNETP.2024.1385421","journal-title":"Frontiers in Network Physiology"},{"key":"6_CR32","doi-asserted-by":"publisher","unstructured":"Pinto, H., Pernice, R., Silva, M.E., Javorka, M., Faes, L., Rocha, A.P.: Multiscale partial information decomposition of dynamic processes with short and long-range correlations: theory and application to cardiovascular control. Physiological Measurement 43 (2022). https:\/\/doi.org\/10.1088\/1361-6579\/ac826c","DOI":"10.1088\/1361-6579\/ac826c"},{"key":"6_CR33","doi-asserted-by":"publisher","first-page":"2628","DOI":"10.1109\/TBME.2017.2654509","volume":"64","author":"A Porta","year":"2017","unstructured":"Porta, A., Bari, V., Maria, B.D., Takahashi, A.C., Guzzetti, S., Colombo, R., Catai, A.M., Raimondi, F., Faes, L.: Quantifying net synergy\/redundancy of spontaneous variability regulation via predictability and transfer entropy decomposition frameworks. IEEE Transactions on Biomedical Engineering 64, 2628\u20132638 (2017). https:\/\/doi.org\/10.1109\/TBME.2017.2654509","journal-title":"IEEE Transactions on Biomedical Engineering"},{"key":"6_CR34","doi-asserted-by":"publisher","first-page":"378","DOI":"10.1152\/ajpregu.00553.2010","volume":"300","author":"A Porta","year":"2011","unstructured":"Porta, A., Catai, A.M., Takahashi, A.C., Magagnin, V., Bassani, T., Tobaldini, E., Borne, P.V.D., Montano, N.: Causal relationships between heart period and systolic arterial pressure during graded head-up tilt. American Journal of Physiology - Regulatory Integrative and Comparative Physiology 300, 378\u2013387 (2011). https:\/\/doi.org\/10.1152\/ajpregu.00553.2010","journal-title":"American Journal of Physiology - Regulatory Integrative and Comparative Physiology"},{"key":"6_CR35","doi-asserted-by":"publisher","DOI":"10.1038\/s41593-019-0510-4","author":"AT Reid","year":"2019","unstructured":"Reid, A.T., Headley, D.B., Mill, R.D., Sanchez-Romero, R., Uddin, L.Q., Marinazzo, D., Lurie, D.J., Vald\u00e9s-Sosa, P.A., Hanson, S.J., Biswal, B.B., Calhoun, V., Poldrack, R.A., Cole, M.W.: Advancing functional connectivity research from association to causation (2019). https:\/\/doi.org\/10.1038\/s41593-019-0510-4","journal-title":"Advancing functional connectivity research from association to causation"},{"key":"6_CR36","doi-asserted-by":"publisher","DOI":"10.1103\/PHYSREVE.100.032305","volume":"100","author":"FE Rosas","year":"2019","unstructured":"Rosas, F.E., Mediano, P.A., Gastpar, M., Jensen, H.J.: Quantifying high-order interdependencies via multivariate extensions of the mutual information. Physical Review E 100, 032305 (2019). https:\/\/doi.org\/10.1103\/PHYSREVE.100.032305","journal-title":"Physical Review E"},{"key":"6_CR37","doi-asserted-by":"publisher","unstructured":"Rosas, F.E., Mediano, P.A., Luppi, A.I., Varley, T.F., Lizier, J.T., Stramaglia, S., Jensen, H.J., Marinazzo, D.: Disentangling high-order mechanisms and high-order behaviours in complex systems. Nature Physics 2022 18:5 18, 476\u2013477 (2022). https:\/\/doi.org\/10.1038\/s41567-022-01548-5","DOI":"10.1038\/s41567-022-01548-5"},{"key":"6_CR38","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1111\/j.1542-474X.2008.00219.x","volume":"13","author":"MTL Rovere","year":"2008","unstructured":"Rovere, M.T.L., Pinna, G.D., Raczak, G.: Baroreflex sensitivity: Measurement and clinical implications. Annals of Noninvasive Electrocardiology 13, 191\u2013207 (2008). https:\/\/doi.org\/10.1111\/j.1542-474X.2008.00219.x","journal-title":"Annals of Noninvasive Electrocardiology"},{"key":"6_CR39","doi-asserted-by":"crossref","unstructured":"Sanchez-Romero, R., Cole, M.W.: Combining multiple functional connectivity methods to improve causal inferences. Journal of Cognitive Neuroscience 33, 180\u2013194 (2020). https:\/\/doi.org\/10.1162\/jocn_a_01580","DOI":"10.1162\/jocn_a_01580"},{"key":"6_CR40","doi-asserted-by":"publisher","first-page":"635","DOI":"10.1103\/PhysRevLett.77.635","volume":"77","author":"T Schreiber","year":"1996","unstructured":"Schreiber, T., Schmitz, A.: Improved surrogate data for nonlinearity tests. Phys. Rev. Lett. 77, 635\u2013638 (1996). https:\/\/doi.org\/10.1103\/PhysRevLett.77.635","journal-title":"Phys. Rev. Lett."},{"key":"6_CR41","doi-asserted-by":"publisher","unstructured":"Schulz, S., Adochiei, F.C., Edu, I.R., Schroeder, R., Costin, H., B\u00e4r, K.J., Voss, A.: Cardiovascular and cardiorespiratory coupling analyses: a review. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371 (2013). https:\/\/doi.org\/10.1098\/RSTA.2012.0191","DOI":"10.1098\/RSTA.2012.0191"},{"issue":"3","key":"6_CR42","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1002\/j.1538-7305.1948.tb01338.x","volume":"27","author":"CE Shannon","year":"1948","unstructured":"Shannon, C.E.: A mathematical theory of communication. The Bell System Technical Journal 27(3), 379\u2013423 (1948). https:\/\/doi.org\/10.1002\/j.1538-7305.1948.tb01338.x","journal-title":"The Bell System Technical Journal"},{"key":"6_CR43","doi-asserted-by":"publisher","first-page":"L032007","DOI":"10.1103\/PhysRevResearch.6.L032007","volume":"6","author":"S Stramaglia","year":"2024","unstructured":"Stramaglia, S., Faes, L., Cortes, J.M., Marinazzo, D.: Disentangling high-order effects in the transfer entropy. Physical Review Research 6, L032007 (2024). https:\/\/doi.org\/10.1103\/PhysRevResearch.6.L032007","journal-title":"Physical Review Research"},{"key":"6_CR44","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1016\/0167-2789(92)90102-S","volume":"58","author":"J Theiler","year":"1992","unstructured":"Theiler, J., Eubank, S., Longtin, A., Galdrikian, B., Farmer, J.D.: Testing for nonlinearity in time series: the method of surrogate data. Physica D: Nonlinear Phenomena 58, 77\u201394 (1992). https:\/\/doi.org\/10.1016\/0167-2789(92)90102-S","journal-title":"Physica D: Nonlinear Phenomena"},{"key":"6_CR45","doi-asserted-by":"publisher","unstructured":"Varley, T.F., Pope, M., Faskowitz, J., Sporns, O.: Multivariate information theory uncovers synergistic subsystems of the human cerebral cortex. Communications Biology 6 (2023). https:\/\/doi.org\/10.1038\/S42003-023-04843-W","DOI":"10.1038\/S42003-023-04843-W"},{"key":"6_CR46","unstructured":"Williams, P.L., Beer, R.D.: Nonnegative decomposition of multivariate information. arXiv pp. 1\u201314 (2010)"}],"container-title":["Springer Proceedings in Mathematics & Statistics","Mathematical Approaches to Challenges in Biology and Biomedicine"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-97950-7_6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,2]],"date-time":"2026-01-02T00:59:16Z","timestamp":1767315556000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-97950-7_6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"ISBN":["9783031979491","9783031979507"],"references-count":46,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-97950-7_6","relation":{},"ISSN":["2194-1009","2194-1017"],"issn-type":[{"value":"2194-1009","type":"print"},{"value":"2194-1017","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025]]},"assertion":[{"value":"2 January 2026","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ICMASC","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Mathematical Analysis and Applications in Science and Engineering","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Porto","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Portugal","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2024","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20 June 2024","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"22 June 2024","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"1","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"icmasc2024","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www2.isep.ipp.pt\/icmasc\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}