{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T04:15:47Z","timestamp":1775621747921,"version":"3.50.1"},"reference-count":69,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T00:00:00Z","timestamp":1770768000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001804","name":"the Canada Research Chairs Program","doi-asserted-by":"crossref","award":["CRC-2022-00204"],"award-info":[{"award-number":["CRC-2022-00204"]}],"id":[{"id":"10.13039\/501100001804","id-type":"DOI","asserted-by":"crossref"}]},{"name":"the University of Waterloo"},{"name":"the University of Waterloo Provost\u2019s Program for Interdisciplinary Postdoctoral Scholars"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Networks of aromatic amino acid residues within microtubules, particularly those formed by tryptophan, may serve as pathways for optical information flow. Ultraviolet excitation dynamics in these networks are typically modeled with effective non-Hermitian Hamiltonians. By extending this approach to a Lindblad master equation that incorporates explicit site geometries and dipole orientations, we track how correlations are generated, routed, and dissipated, while capturing both energy dissipation and information propagation among coupled chromophores. We compare localized injections, fully delocalized preparations, and eigenmode-based initial states. To quantify the emerging quantum-informational structure, we evaluate the L1 norm of coherence, the correlated coherence, and the logarithmic negativity within and between selected chromophore sub-networks. The results reveal a strong dependence of both the direction and persistence of information flow on the type of initial preparation. Superradiant components drive the rapid export of correlations to the environment, whereas subradiant components retain them and slow their leakage. Embedding single tubulin units into larger dimers and spirals reshapes pairwise correlation maps and enables site-selective routing. Scaling to larger ordered lattices strengthens both export and retention channels, whereas static energetic and structural disorder suppresses long-range transport and reduces overall correlation transfer. These findings provide a Lindbladian picture of information flow in cytoskeletal chromophore networks and identify structural and dynamical conditions that transiently preserve nonclassical correlations in microtubules.<\/jats:p>","DOI":"10.3390\/e28020204","type":"journal-article","created":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T11:13:15Z","timestamp":1770808395000},"page":"204","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Quantum Information Flow in Microtubule Tryptophan Networks"],"prefix":"10.3390","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9961-0658","authenticated-orcid":false,"given":"Lea","family":"Gassab","sequence":"first","affiliation":[{"name":"Departments of Biology, Chemistry, Physics & Astronomy, Waterloo Institute for Nanotechnology, University of Waterloo, Waterloo, ON N2L 3G1, Canada"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9167-7273","authenticated-orcid":false,"given":"Onur","family":"Pusuluk","sequence":"additional","affiliation":[{"name":"Faculty of Engineering and Natural Sciences, Kadir Has University, Fatih, Istanbul 34083, T\u00fcrkiye"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7244-6317","authenticated-orcid":false,"given":"Travis J. 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Lett."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/s10827-010-0262-3","article-title":"Transfer entropy\u2014A model-free measure of effective connectivity for the neurosciences","volume":"30","author":"Vicente","year":"2011","journal-title":"J. Comput. Neurosci."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Gassab, L., Pusuluk, O., Cattaneo, M., and M\u00fcstecapl\u0131o\u011flu, \u00d6.E. (2025). Quantum Models of Consciousness from a Quantum Information Science Perspective. Entropy, 27.","DOI":"10.3390\/e27030243"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"442","DOI":"10.1002\/cm.21286","article-title":"Stability properties of neuronal microtubules","volume":"73","author":"Baas","year":"2016","journal-title":"Cytoskeleton"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"531","DOI":"10.1523\/JNEUROSCI.16-02-00531.1996","article-title":"Microtubule assembly and turnover in growing axons","volume":"16","author":"Li","year":"1996","journal-title":"J. Neurosci."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"352","DOI":"10.1021\/acscentsci.2c01114","article-title":"Electronic energy migration in microtubules","volume":"9","author":"Kalra","year":"2023","journal-title":"ACS Cent. Sci."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"20140677","DOI":"10.1098\/rsif.2014.0677","article-title":"The feasibility of coherent energy transfer in microtubules","volume":"11","author":"Craddock","year":"2014","journal-title":"J. R. Soc. Interface"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/j.jphotobiol.2017.08.033","article-title":"Oxidative species-induced excitonic transport in tubulin aromatic networks: Potential implications for neurodegenerative disease","volume":"175","author":"Kurian","year":"2017","journal-title":"J. Photochem. Photobiol. B Biol."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"4035","DOI":"10.1021\/acs.jpcb.3c07936","article-title":"Ultraviolet superradiance from mega-networks of tryptophan in biological architectures","volume":"128","author":"Babcock","year":"2024","journal-title":"J. Phys. Chem. B"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Patwa, H., Babcock, N.S., and Kurian, P. (2024). Quantum-enhanced photoprotection in neuroprotein architectures emerges from collective light-matter interactions. Front. Phys., 12.","DOI":"10.3389\/fphy.2024.1387271"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"023005","DOI":"10.1088\/1367-2630\/aaf839","article-title":"On the existence of superradiant excitonic states in microtubules","volume":"21","author":"Celardo","year":"2019","journal-title":"New J. Phys."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"153001","DOI":"10.1088\/1751-8113\/42\/15\/153001","article-title":"A non-Hermitian Hamilton operator and the physics of open quantum systems","volume":"42","author":"Rotter","year":"2009","journal-title":"J. Phys. A Math. Theor."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1080\/00018732.2021.1876991","article-title":"non-Hermitian physics","volume":"69","author":"Ashida","year":"2020","journal-title":"Adv. Phys."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"22105","DOI":"10.1021\/jp302627w","article-title":"Superradiance transition in photosynthetic light harvesting complexes","volume":"116","author":"Celardo","year":"2012","journal-title":"J. Phys. Chem. C"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1097","DOI":"10.1364\/AOP.475477","article-title":"Non Hermitian optics and photonics from classical to quantum","volume":"15","author":"Wang","year":"2023","journal-title":"Adv. Opt. Photonics"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"015005","DOI":"10.1103\/RevModPhys.93.015005","article-title":"Exceptional topology of non Hermitian systems","volume":"93","author":"Bergholtz","year":"2021","journal-title":"Rev. Mod. Phys."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"104967","DOI":"10.1016\/j.biosystems.2023.104967","article-title":"Modeling of the entangled states transfer processes in microtubule tryptophan system","volume":"231","author":"Shirmovsky","year":"2023","journal-title":"BioSystems"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"105100","DOI":"10.1016\/j.biosystems.2023.105100","article-title":"Modeling of the quantum entangled state transfer protocol in the cell microtubules","volume":"235","author":"Shirmovsky","year":"2024","journal-title":"BioSystems"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"105320","DOI":"10.1016\/j.biosystems.2024.105320","article-title":"On the possibility of implementing a quantum entanglement distribution in a biosystem: Microtubules","volume":"245","author":"Shirmovsky","year":"2024","journal-title":"BioSystems"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"126254","DOI":"10.1016\/j.physa.2021.126254","article-title":"Quantum relaxation effects in Microtubules","volume":"582","author":"Shirmovsky","year":"2021","journal-title":"Phys. A Stat. Mech. Appl."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"128687","DOI":"10.1016\/j.physa.2023.128687","article-title":"Quantum relaxation processes in microtubule tryptophan system","volume":"617","author":"Shirmovsky","year":"2023","journal-title":"Phys. A Stat. Mech. Appl."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"105520","DOI":"10.1016\/j.biosystems.2025.105520","article-title":"Detailed analysis of the quantum relaxation features in the cell microtubules: Markovian and Non-Markovian dynamics","volume":"254","author":"Saenko","year":"2025","journal-title":"BioSystems"},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Nishiyama, A., Tanaka, S., and Tuszynski, J.A. (2025). Waveguide Quantum Electrodynamics: Tryptophans Entangled with Water as Data Qubits in a Microtubule. Dynamics, 5.","DOI":"10.3390\/dynamics5010007"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1016\/j.biosystems.2004.04.006","article-title":"A new theory of the origin of cancer: Quantum coherent entanglement, centrioles, mitosis, and differentiation","volume":"77","author":"Hameroff","year":"2004","journal-title":"BioSystems"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"105414","DOI":"10.1016\/j.biosystems.2025.105414","article-title":"Surface code model for Fibonacci helical pathways of the Orch OR microtubule","volume":"249","author":"An","year":"2025","journal-title":"BioSystems"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1007\/BF01608499","article-title":"On the generators of quantum dynamical semigroups","volume":"48","author":"Lindblad","year":"1976","journal-title":"Commun. Math. Phys."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"821","DOI":"10.1063\/1.522979","article-title":"Completely positive dynamical semigroups of N-level systems","volume":"17","author":"Gorini","year":"1976","journal-title":"J. Math. Phys."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"234111","DOI":"10.1063\/1.3155372","article-title":"Unified treatment of quantum coherent and incoherent hopping dynamics in electronic energy transfer","volume":"130","author":"Ishizaki","year":"2009","journal-title":"J. Chem. Phys."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"234110","DOI":"10.1063\/1.3155214","article-title":"On the adequacy of the Redfield equation and related approaches to describe exciton dynamics in photosynthetic systems","volume":"130","author":"Ishizaki","year":"2009","journal-title":"J. Chem. Phys."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1080\/00405000.2013.829687","article-title":"Vibrations, quanta and biology","volume":"54","author":"Huelga","year":"2013","journal-title":"Contemp. Phys."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"174106","DOI":"10.1063\/1.3002335","article-title":"Environment assisted quantum walks in photosynthetic energy transfer","volume":"129","author":"Mohseni","year":"2008","journal-title":"J. Chem. Phys."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"9942","DOI":"10.1021\/jp901724d","article-title":"Role of quantum coherence and environmental fluctuations in chromophoric energy transport","volume":"113","author":"Rebentrost","year":"2009","journal-title":"J. Phys. Chem. B"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"782","DOI":"10.1038\/nature05678","article-title":"Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems","volume":"446","author":"Engel","year":"2007","journal-title":"Nature"},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Breuer, H.P., and Petruccione, F. (2002). The Theory of Open Quantum Systems, Oxford University Press.","DOI":"10.1007\/3-540-44874-8_4"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"12766","DOI":"10.1073\/pnas.1005484107","article-title":"Long lived quantum coherence in photosynthetic complexes","volume":"107","author":"Panitchayangkoon","year":"2010","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"140401","DOI":"10.1103\/PhysRevLett.113.140401","article-title":"Quantifying coherence","volume":"113","author":"Baumgratz","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"041003","DOI":"10.1103\/RevModPhys.89.041003","article-title":"Colloquium: Quantum coherence as a resource","volume":"89","author":"Streltsov","year":"2017","journal-title":"Rev. Mod. Phys."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"022112","DOI":"10.1103\/PhysRevA.92.022112","article-title":"Quantum coherence in multipartite systems","volume":"92","author":"Yao","year":"2015","journal-title":"Phys. Rev. A"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"022329","DOI":"10.1103\/PhysRevA.94.022329","article-title":"Unified view of quantum correlations and quantum coherence","volume":"94","author":"Tan","year":"2016","journal-title":"Phys. Rev. A"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"090503","DOI":"10.1103\/PhysRevLett.95.090503","article-title":"Logarithmic Negativity","volume":"95","author":"Plenio","year":"2005","journal-title":"Phys. Rev. Lett."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"032314","DOI":"10.1103\/PhysRevA.65.032314","article-title":"Computable measure of entanglement","volume":"65","author":"Vidal","year":"2002","journal-title":"Phys. Rev. A"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"17255","DOI":"10.1073\/pnas.0908989106","article-title":"Theoretical examination of quantum coherence in a photosynthetic system at physiological temperature","volume":"106","author":"Ishizaki","year":"2009","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"065002","DOI":"10.1088\/1367-2630\/12\/6\/065002","article-title":"Noise-assisted energy transfer in quantum networks and light-harvesting complexes","volume":"12","author":"Chin","year":"2010","journal-title":"New J. Phys."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"647","DOI":"10.1038\/nature21425","article-title":"Using coherence to enhance function in chemical and biophysical systems","volume":"543","author":"Scholes","year":"2017","journal-title":"Nature"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"492","DOI":"10.1016\/j.neuron.2015.05.046","article-title":"Building the neuronal microtubule cytoskeleton","volume":"87","author":"Kapitein","year":"2015","journal-title":"Neuron"},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1038\/s41580-020-0214-3","article-title":"The tubulin code and its role in controlling microtubule properties and function","volume":"21","author":"Janke","year":"2020","journal-title":"Nat. Rev. Mol. Cell Biol."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"1760","DOI":"10.1016\/j.cpc.2012.02.021","article-title":"QuTiP: An open-source Python framework for the dynamics of open quantum systems","volume":"183","author":"Johansson","year":"2012","journal-title":"Comput. Phys. Commun."},{"key":"ref_50","unstructured":"DeLano, W.L. (2002). The PyMOL Molecular Graphics System, DeLano Scientific."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1016\/j.freeradbiomed.2015.08.003","article-title":"Tripping up Trp: Modification of protein tryptophan residues by reactive oxygen species","volume":"89","author":"Ehrenshaft","year":"2015","journal-title":"Free Radic. Biol. Med."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"655","DOI":"10.1111\/jphp.12688","article-title":"Novel chemical degradation pathways of proteins mediated by tryptophan oxidation: Tryptophan side chain fragmentation","volume":"70","year":"2018","journal-title":"J. Pharm. Pharmacol."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"a022608","DOI":"10.1101\/cshperspect.a022608","article-title":"Microtubules and microtubule-associated proteins","volume":"10","author":"Goodson","year":"2018","journal-title":"Cold Spring Harb. Perspect. Biol."},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1016\/0550-3213(85)90267-6","article-title":"A quantum field theoretical approach to the collective behavior of biological systems","volume":"251","author":"Doglia","year":"1985","journal-title":"Nucl. Phys. B"},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/0550-3213(86)90595-X","article-title":"Electromagnetic field and spontaneous symmetry breaking in biological matter","volume":"275","author":"Doglia","year":"1986","journal-title":"Nucl. Phys. B"},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"210401","DOI":"10.1103\/PhysRevLett.103.210401","article-title":"Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems","volume":"103","author":"Breuer","year":"2009","journal-title":"Phys. Rev. Lett."},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"050403","DOI":"10.1103\/PhysRevLett.105.050403","article-title":"Entanglement and Non-Markovianity of Quantum Evolutions","volume":"105","author":"Rivas","year":"2010","journal-title":"Phys. Rev. Lett."},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"30","DOI":"10.3390\/systems1030030","article-title":"Circular thermodynamics of organisms and sustainable systems","volume":"1","author":"Ho","year":"2013","journal-title":"Systems"},{"key":"ref_59","doi-asserted-by":"crossref","unstructured":"Popp, F.A., Gu, Q., and Li, K.H. (1992). Coherence in physics and biology. Recent Advances in Biophoton Research and Its Applications, World Scientific.","DOI":"10.1142\/1559"},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"610","DOI":"10.1016\/j.neuron.2010.09.039","article-title":"Molecular motors in neurons: Transport mechanisms and roles in brain function, development, and disease","volume":"68","author":"Hirokawa","year":"2010","journal-title":"Neuron"},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"1668","DOI":"10.1002\/jcc.20290","article-title":"The Amber biomolecular simulation programs","volume":"26","author":"Case","year":"2005","journal-title":"J. Comput. Chem."},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"W296","DOI":"10.1093\/nar\/gky427","article-title":"SWISS-MODEL: Homology modelling of protein structures and complexes","volume":"46","author":"Waterhouse","year":"2018","journal-title":"Nucleic Acids Res."},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"W537","DOI":"10.1093\/nar\/gks375","article-title":"H++ 3.0: Automating pKa prediction and the preparation of biomolecular structures for atomistic molecular modeling and simulations","volume":"40","author":"Anandakrishnan","year":"2012","journal-title":"Nucleic Acids Res."},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1021\/ct100578z","article-title":"PROPKA3: Consistent treatment of internal and surface residues in empirical pKa predictions","volume":"7","author":"Olsson","year":"2011","journal-title":"J. Chem. Theory Comput."},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"3696","DOI":"10.1021\/acs.jctc.5b00255","article-title":"ff14SB: Improving the accuracy of protein side chain and backbone parameters from ff99SB","volume":"11","author":"Maier","year":"2015","journal-title":"J. Chem. Theory Comput."},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"3084","DOI":"10.1021\/ct400341p","article-title":"PTRAJ and CPPTRAJ: Software for processing and analysis of molecular dynamics trajectory data","volume":"9","author":"Roe","year":"2013","journal-title":"J. Chem. Theory Comput."},{"key":"ref_67","doi-asserted-by":"crossref","unstructured":"Wiseman, H.M., and Milburn, G.J. (2009). Quantum Measurement and Control, Cambridge University Press.","DOI":"10.1017\/CBO9780511813948"},{"key":"ref_68","doi-asserted-by":"crossref","unstructured":"Carmichael, H.J. (1993). An Open Systems Approach to Quantum Optics, Springer.","DOI":"10.1007\/978-3-540-47620-7"},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"125116","DOI":"10.1088\/1402-4896\/ac3c5c","article-title":"Dynamics of quantum correlations in a qubit-qutrit spin system under random telegraph noise","volume":"96","author":"Benabdallah","year":"2021","journal-title":"Phys. Scr."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/28\/2\/204\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T05:17:49Z","timestamp":1770959869000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/28\/2\/204"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,2,11]]},"references-count":69,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2026,2]]}},"alternative-id":["e28020204"],"URL":"https:\/\/doi.org\/10.3390\/e28020204","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,2,11]]}}}