[{"publication_status":"published","corr_author":"1","external_id":{"arxiv":["2309.00545"],"isi":["001196692400001"],"pmid":["38518358"]},"has_accepted_license":"1","department":[{"_id":"EdHa"}],"status":"public","article_number":"056601","tmp":{"short":"CC BY (3.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/3.0/legalcode","name":"Creative Commons Attribution 3.0 Unported (CC BY 3.0)"},"file":[{"date_created":"2024-08-20T11:00:03Z","file_name":"2024_ReportPhysics_Brueckner.pdf","content_type":"application/pdf","success":1,"access_level":"open_access","date_updated":"2024-08-20T11:00:03Z","file_id":"17451","file_size":4376898,"checksum":"c5910078230ade20f4dd83592e862a72","creator":"dernst","relation":"main_file"}],"arxiv":1,"publication_identifier":{"issn":["0034-4885"],"eissn":["1361-6633"]},"pmid":1,"quality_controlled":"1","isi":1,"date_created":"2024-04-14T22:01:01Z","ddc":["530"],"publisher":"IOP Publishing","author":[{"last_name":"Brückner","full_name":"Brückner, David","orcid":"0000-0001-7205-2975","first_name":"David","id":"e1e86031-6537-11eb-953a-f7ab92be508d"},{"last_name":"Broedersz","full_name":"Broedersz, Chase P.","first_name":"Chase P."}],"year":"2024","intvolume":"        87","scopus_import":"1","article_type":"review","title":"Learning dynamical models of single and collective cell migration: a review","issue":"5","date_published":"2024-04-04T00:00:00Z","citation":{"ama":"Brückner D, Broedersz CP. Learning dynamical models of single and collective cell migration: a review. <i>Reports on Progress in Physics</i>. 2024;87(5). doi:<a href=\"https://doi.org/10.1088/1361-6633/ad36d2\">10.1088/1361-6633/ad36d2</a>","chicago":"Brückner, David, and Chase P. Broedersz. “Learning Dynamical Models of Single and Collective Cell Migration: A Review.” <i>Reports on Progress in Physics</i>. IOP Publishing, 2024. <a href=\"https://doi.org/10.1088/1361-6633/ad36d2\">https://doi.org/10.1088/1361-6633/ad36d2</a>.","mla":"Brückner, David, and Chase P. Broedersz. “Learning Dynamical Models of Single and Collective Cell Migration: A Review.” <i>Reports on Progress in Physics</i>, vol. 87, no. 5, 056601, IOP Publishing, 2024, doi:<a href=\"https://doi.org/10.1088/1361-6633/ad36d2\">10.1088/1361-6633/ad36d2</a>.","apa":"Brückner, D., &#38; Broedersz, C. P. (2024). Learning dynamical models of single and collective cell migration: a review. <i>Reports on Progress in Physics</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1361-6633/ad36d2\">https://doi.org/10.1088/1361-6633/ad36d2</a>","ista":"Brückner D, Broedersz CP. 2024. Learning dynamical models of single and collective cell migration: a review. Reports on Progress in Physics. 87(5), 056601.","short":"D. Brückner, C.P. Broedersz, Reports on Progress in Physics 87 (2024).","ieee":"D. Brückner and C. P. Broedersz, “Learning dynamical models of single and collective cell migration: a review,” <i>Reports on Progress in Physics</i>, vol. 87, no. 5. IOP Publishing, 2024."},"oa":1,"acknowledgement":"This work was supported by the Deutsche Forschungsgemeinschaft (German Research Foundation)—Project-ID 201269156—SFB 1032 (Project B12). D B B was supported by an NOMIS Fellowship and an EMBO Fellowship (ALTF 343-2022). We thank Joachim Rädler, Alexandra Fink, Erwin Frey, Pierre Ronceray, Ricard Alert, Edouard Hannezo, Henrik Flyvbjerg, Ulrich Schwarz, Joshua Shaevitz, Greg Stephens, Andrea Cavagna, Grzegorz Gradziuk, Fridtjof Brauns, Nikolas Claussen, Tom Brandstätter, Johannes Flommersfeld, Christoph Schreiber, Nicolas Arlt, Matthew Schmitt, Joris Messelink, Federico Gnesotto, Federica Mura, Bram Hoogland, Manon Wigbers, Isabella Graf, Jessica Lober, and many others for inspiring discussions. We also thank Claudia Flandoli for the artwork in figures 1, 5, 8 and 9.","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_updated":"2025-09-04T13:39:07Z","publication":"Reports on Progress in Physics","article_processing_charge":"Yes (in subscription journal)","oa_version":"Published Version","abstract":[{"lang":"eng","text":"Single and collective cell migration are fundamental processes critical for physiological phenomena ranging from embryonic development and immune response to wound healing and cancer metastasis. To understand cell migration from a physical perspective, a broad variety of models for the underlying physical mechanisms that govern cell motility have been developed. A key challenge in the development of such models is how to connect them to experimental observations, which often exhibit complex stochastic behaviours. In this review, we discuss recent advances in data-driven theoretical approaches that directly connect with experimental data to infer dynamical models of stochastic cell migration. Leveraging advances in nanofabrication, image analysis, and tracking technology, experimental studies now provide unprecedented large datasets on cellular dynamics. In parallel, theoretical efforts have been directed towards integrating such datasets into physical models from the single cell to the tissue scale with the aim of conceptualising the emergent behaviour of cells. We first review how this inference problem has been addressed in both freely migrating and confined cells. Next, we discuss why these dynamics typically take the form of underdamped stochastic equations of motion, and how such equations can be inferred from data. We then review applications of data-driven inference and machine learning approaches to heterogeneity in cell behaviour, subcellular degrees of freedom, and to the collective dynamics of multicellular systems. Across these applications, we emphasise how data-driven methods can be integrated with physical active matter models of migrating cells, and help reveal how underlying molecular mechanisms control cell behaviour. Together, these data-driven approaches are a promising avenue for building physical models of cell migration directly from experimental data, and for providing conceptual links between different length-scales of description."}],"_id":"15315","doi":"10.1088/1361-6633/ad36d2","type":"journal_article","project":[{"_id":"34e2a5b5-11ca-11ed-8bc3-b2265616ef0b","name":"A mechano-chemical theory for stem cell fate decisions in organoid development","grant_number":"ALTF 343-2022"}],"language":[{"iso":"eng"}],"license":"https://creativecommons.org/licenses/by/3.0/","month":"04","day":"04","volume":87,"file_date_updated":"2024-08-20T11:00:03Z"},{"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"status":"public","article_number":"094601","extern":"1","PlanS_conform":"1","has_accepted_license":"1","external_id":{"pmid":["38996410"]},"publication_status":"published","date_published":"2024-08-12T00:00:00Z","issue":"9","title":"Liquid crystals from curved colloidal rods: Waves, twists and more","main_file_link":[{"url":"https://doi.org/10.1088/1361-6633/ad627b","open_access":"1"}],"article_type":"review","scopus_import":"1","year":"2024","intvolume":"        87","publisher":"IOP Publishing","author":[{"full_name":"Fernández-Rico, Carla","last_name":"Fernández-Rico","first_name":"Carla","id":"492def71-6250-11f0-b278-d41dbd241b62"},{"full_name":"Dullens, Roel P A","last_name":"Dullens","first_name":"Roel P A"}],"OA_place":"publisher","quality_controlled":"1","date_created":"2026-06-30T06:31:09Z","ddc":["540"],"publication_identifier":{"issn":["0034-4885"],"eissn":["1361-6633"]},"pmid":1,"type":"journal_article","OA_type":"hybrid","oa_version":"Published Version","article_processing_charge":"No","abstract":[{"lang":"eng","text":"The curvature of elongated microscopic building blocks plays a crucial role on their self-assembly into orientationally ordered phases. While rod-like molecules form a handful of liquid crystal (LC) phases, curved or banana-shaped molecules show more than fifty phases, with fascinating physical properties, such as chirality or polarity. Despite the fundamental and technological importance of these so-called ‘banana-shaped liquid crystals’, little is known about their microscopic details at the single-molecule level. Curved colloidal liquid crystals—liquid crystals formed by curved colloidal rods—are excellent model systems to optically resolve the structure and dynamics of curved building blocks within these condensed phases. Recent advances in the synthesis of curved rod-like particles have unlocked the potential for studying—at the single-particle level—the intimate relationship between shape and phase symmetry, and even confirmed the stability of elusive LC phases. Further developments in this nascent field promise exciting findings, such as the first observation of the colloidal twist-bend nematic phase or the fabrication of functional materials with curvature-dependent properties. In this Report on Progress, we will highlight recent advances in the synthesis and assembly of curved colloidal liquid crystals and discuss the upcoming challenges and opportunities of this field."}],"_id":"22209","doi":"10.1088/1361-6633/ad627b","publication":"Reports on Progress in Physics","date_updated":"2026-07-15T06:27:28Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"citation":{"mla":"Fernández-Rico, Carla, and Roel P. A. Dullens. “Liquid Crystals from Curved Colloidal Rods: Waves, Twists and More.” <i>Reports on Progress in Physics</i>, vol. 87, no. 9, 094601, IOP Publishing, 2024, doi:<a href=\"https://doi.org/10.1088/1361-6633/ad627b\">10.1088/1361-6633/ad627b</a>.","chicago":"Fernández-Rico, Carla, and Roel P A Dullens. “Liquid Crystals from Curved Colloidal Rods: Waves, Twists and More.” <i>Reports on Progress in Physics</i>. IOP Publishing, 2024. <a href=\"https://doi.org/10.1088/1361-6633/ad627b\">https://doi.org/10.1088/1361-6633/ad627b</a>.","ama":"Fernández-Rico C, Dullens RPA. Liquid crystals from curved colloidal rods: Waves, twists and more. <i>Reports on Progress in Physics</i>. 2024;87(9). doi:<a href=\"https://doi.org/10.1088/1361-6633/ad627b\">10.1088/1361-6633/ad627b</a>","ieee":"C. Fernández-Rico and R. P. A. Dullens, “Liquid crystals from curved colloidal rods: Waves, twists and more,” <i>Reports on Progress in Physics</i>, vol. 87, no. 9. IOP Publishing, 2024.","short":"C. Fernández-Rico, R.P.A. Dullens, Reports on Progress in Physics 87 (2024).","ista":"Fernández-Rico C, Dullens RPA. 2024. Liquid crystals from curved colloidal rods: Waves, twists and more. Reports on Progress in Physics. 87(9), 094601.","apa":"Fernández-Rico, C., &#38; Dullens, R. P. A. (2024). Liquid crystals from curved colloidal rods: Waves, twists and more. <i>Reports on Progress in Physics</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1361-6633/ad627b\">https://doi.org/10.1088/1361-6633/ad627b</a>"},"day":"12","volume":87,"month":"08","language":[{"iso":"eng"}]}]