{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,15]],"date-time":"2026-10-15T01:11:33Z","timestamp":1792026693942,"version":"4.4.0"},"reference-count":73,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T00:00:00Z","timestamp":1736294400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"},{"start":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T00:00:00Z","timestamp":1736294400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"funder":[{"DOI":"10.13039\/501100004070","name":"Khalifa University of Science, Technology and Research","doi-asserted-by":"publisher","award":["RIG-2023-051"],"award-info":[{"award-number":["RIG-2023-051"]}],"id":[{"id":"10.13039\/501100004070","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002347","name":"Bundesministerium f\u00fcr Bildung und Forschung","doi-asserted-by":"publisher","award":["031L0237C"],"award-info":[{"award-number":["031L0237C"]}],"id":[{"id":"10.13039\/501100002347","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002347","name":"Bundesministerium f\u00fcr Bildung und Forschung","doi-asserted-by":"publisher","award":["031L0237C"],"award-info":[{"award-number":["031L0237C"]}],"id":[{"id":"10.13039\/501100002347","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002347","name":"Bundesministerium f\u00fcr Bildung und Forschung","doi-asserted-by":"publisher","award":["031L0237C"],"award-info":[{"award-number":["031L0237C"]}],"id":[{"id":"10.13039\/501100002347","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002347","name":"Bundesministerium f\u00fcr Bildung und Forschung","doi-asserted-by":"publisher","award":["031L0237C"],"award-info":[{"award-number":["031L0237C"]}],"id":[{"id":"10.13039\/501100002347","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001663","name":"Volkswagen Foundation","doi-asserted-by":"publisher","award":["96732"],"award-info":[{"award-number":["96732"]}],"id":[{"id":"10.13039\/501100001663","id-type":"DOI","asserted-by":"publisher"}]},{"name":"UAE-NIH Collaborative Research grant AJF-NIH-25-KU"},{"name":"Saxon State Parliament, as part of an ESF Plus scholarship"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["npj Syst Biol Appl"],"DOI":"10.1038\/s41540-024-00478-7","type":"journal-article","created":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T14:11:26Z","timestamp":1736345486000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Biopsy location and tumor-associated macrophages in predicting malignant glioma recurrence using an in-silico model"],"prefix":"10.1038","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3298-3315","authenticated-orcid":false,"given":"Pejman","family":"Shojaee","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Edwin","family":"Weinholtz","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7685-8087","authenticated-orcid":false,"given":"Nadine S.","family":"Schaadt","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Friedrich","family":"Feuerhake","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Haralampos","family":"Hatzikirou","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2025,1,8]]},"reference":[{"key":"478_CR1","doi-asserted-by":"publisher","first-page":"v1","DOI":"10.1093\/neuonc\/noac202","volume":"24","author":"QT Ostrom","year":"2022","unstructured":"Ostrom, Q. T. et al. Cbtrus statistical report: primary brain and other central nervous system tumors diagnosed in the united states in 2015\u20132019. Neuro-Oncol. 24, v1\u2013v95 (2022).","journal-title":"Neuro-Oncol."},{"key":"478_CR2","doi-asserted-by":"crossref","unstructured":"Wen, P. Y. et al. Glioblastoma in adults: a Society for Neuro-Oncology (SNO) and European Society of Neuro-Oncology (EANO) consensus review on current management and future directions. Neuro-oncology, 22, 1073\u20131113 (2020).","DOI":"10.1093\/neuonc\/noaa106"},{"key":"478_CR3","doi-asserted-by":"publisher","first-page":"4","DOI":"10.1093\/neuonc\/noac207","volume":"25","author":"JJ Miller","year":"2023","unstructured":"Miller, J. J. et al. Isocitrate dehydrogenase (idh) mutant gliomas: a society for neuro-oncology (sno) consensus review on diagnosis, management, and future directions. Neuro-Oncol. 25, 4\u201325 (2023).","journal-title":"Neuro-Oncol."},{"key":"478_CR4","doi-asserted-by":"publisher","first-page":"987","DOI":"10.1056\/NEJMoa043330","volume":"352","author":"R Stupp","year":"2005","unstructured":"Stupp, R. et al. Radiotherapy plus concomitant and adjuvant temozolomide for glioblastoma. N. Engl. J. Med. 352, 987\u2013996 (2005).","journal-title":"N. Engl. J. Med."},{"key":"478_CR5","unstructured":"Fernandes, C. et al. Current standards of care in glioblastoma therapy. Exon Publications, 197\u2013241 (2017)."},{"key":"478_CR6","doi-asserted-by":"publisher","first-page":"1984","DOI":"10.1158\/1078-0432.CCR-14-1328","volume":"21","author":"HA Fine","year":"2015","unstructured":"Fine, H. A. New strategies in glioblastoma: exploiting the new biology. Clin. Cancer Res. 21, 1984\u20131988 (2015).","journal-title":"Clin. Cancer Res."},{"key":"478_CR7","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1158\/2159-8290.CD-21-1059","volume":"12","author":"D Hanahan","year":"2022","unstructured":"Hanahan, D. Hallmarks of cancer: new dimensions. Cancer Discov. 12, 31\u201346 (2022).","journal-title":"Cancer Discov."},{"key":"478_CR8","doi-asserted-by":"publisher","first-page":"3242","DOI":"10.3390\/cancers3033242","volume":"3","author":"M Nakada","year":"2011","unstructured":"Nakada, M. et al. Aberrant signaling pathways in glioma. Cancers 3, 3242\u20133278 (2011).","journal-title":"Cancers"},{"key":"478_CR9","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1016\/j.nurt.2009.04.001","volume":"6","author":"MC Tate","year":"2009","unstructured":"Tate, M. C. & Aghi, M. K. Biology of angiogenesis and invasion in glioma. Neurotherapeutics 6, 447\u2013457 (2009).","journal-title":"Neurotherapeutics"},{"key":"478_CR10","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1007\/s10014-010-0007-z","volume":"28","author":"M Onishi","year":"2011","unstructured":"Onishi, M., Ichikawa, T., Kurozumi, K. & Date, I. Angiogenesis and invasion in glioma. Brain tumor Pathol. 28, 13\u201324 (2011).","journal-title":"Brain tumor Pathol."},{"key":"478_CR11","doi-asserted-by":"crossref","unstructured":"Hardigan, A. A., Jackson, J., D. & Patel, A. P. Surgical management and advances in the treatment of glioma. Seminars in Neurology. Thieme Medical Publishers, Inc., 2023.","DOI":"10.1055\/s-0043-1776766"},{"key":"478_CR12","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1007\/s00401-007-0293-7","volume":"114","author":"A Claes","year":"2007","unstructured":"Claes, A., Idema, A. J. & Wesseling, P. Diffuse glioma growth: a guerilla war. Acta neuropathologica 114, 443\u2013458 (2007).","journal-title":"Acta neuropathologica"},{"key":"478_CR13","doi-asserted-by":"publisher","first-page":"1624","DOI":"10.1200\/JCO.2003.05.063","volume":"21","author":"A Giese","year":"2003","unstructured":"Giese, A., Bjerkvig, R., Berens, M. & Westphal, M. Cost of migration: invasion of malignant gliomas and implications for treatment. J. Clin. Oncol. 21, 1624\u20131636 (2003).","journal-title":"J. Clin. Oncol."},{"key":"478_CR14","doi-asserted-by":"publisher","first-page":"404","DOI":"10.1093\/neuonc\/noy133","volume":"21","author":"JY Kim","year":"2019","unstructured":"Kim, J. Y. et al. Incorporating diffusion-and perfusion-weighted mri into a radiomics model improves diagnostic performance for pseudoprogression in glioblastoma patients. Neuro-Oncol. 21, 404\u2013414 (2019).","journal-title":"Neuro-Oncol."},{"key":"478_CR15","doi-asserted-by":"publisher","first-page":"467","DOI":"10.1148\/radiol.2019181296","volume":"290","author":"DP Barboriak","year":"2019","unstructured":"Barboriak, D. P. et al. Interreader variability of dynamic contrast-enhanced mri of recurrent glioblastoma: the multicenter acrin 6677\/rtog 0625 study. Radiology 290, 467\u2013476 (2019).","journal-title":"Radiology"},{"key":"478_CR16","doi-asserted-by":"publisher","first-page":"769188","DOI":"10.3389\/fonc.2021.769188","volume":"11","author":"J Wang","year":"2021","unstructured":"Wang, J. et al. Preoperative magnetic resonance imaging radiomics for predicting early recurrence of glioblastoma. Front. Oncol. 11, 769188 (2021).","journal-title":"Front. Oncol."},{"key":"478_CR17","doi-asserted-by":"publisher","first-page":"275","DOI":"10.1002\/(SICI)1097-0215(19960717)67:2<275::AID-IJC20>3.0.CO;2-9","volume":"67","author":"A Giese","year":"1996","unstructured":"Giese, A. et al. Dichotomy of astrocytoma migration and proliferation. Int. J. Cancer 67, 275\u2013282 (1996).","journal-title":"Int. J. Cancer"},{"key":"478_CR18","doi-asserted-by":"publisher","first-page":"755","DOI":"10.1227\/00006123-199604000-00026","volume":"38","author":"A Giese","year":"1996","unstructured":"Giese, A. et al. Migration of human glioma cells on myelin. Neurosurgery 38, 755\u2013764 (1996).","journal-title":"Neurosurgery"},{"key":"478_CR19","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1093\/imammb\/dqq011","volume":"29","author":"H Hatzikirou","year":"2012","unstructured":"Hatzikirou, H., Basanta, D., Simon, M., Schaller, K. & Deutsch, A. \u2018go or grow\u2019: the key to the emergence of invasion in tumour progression? Math. Med. Biol.: a J. IMA 29, 49\u201365 (2012).","journal-title":"Math. Med. Biol.: a J. IMA"},{"key":"478_CR20","doi-asserted-by":"publisher","first-page":"2814","DOI":"10.4161\/cc.9.14.12248","volume":"9","author":"J Godlewski","year":"2010","unstructured":"Godlewski, J., Bronisz, A., Nowicki, M. O., Chiocca, E. A. & Lawler, S. microrna-451: A conditional switch controlling glioma cell proliferation and migration. Cell cycle 9, 2814\u20132820 (2010).","journal-title":"Cell cycle"},{"key":"478_CR21","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1007\/s00401-011-0940-x","volume":"124","author":"E H\u00f6ring","year":"2012","unstructured":"H\u00f6ring, E. et al. The \u201cgo or grow\u201d potential of gliomas is linked to the neuropeptide processing enzyme carboxypeptidase e and mediated by metabolic stress. Acta Neuropathologica 124, 83\u201397 (2012).","journal-title":"Acta Neuropathologica"},{"key":"478_CR22","doi-asserted-by":"publisher","first-page":"5132","DOI":"10.1038\/onc.2012.16","volume":"31","author":"SD Wang","year":"2012","unstructured":"Wang, S. D. et al. Ephb2 receptor controls proliferation\/migration dichotomy of glioblastoma by interacting with focal adhesion kinase. Oncogene 31, 5132\u20135143 (2012).","journal-title":"Oncogene"},{"key":"478_CR23","doi-asserted-by":"publisher","first-page":"292","DOI":"10.1016\/j.trecan.2018.02.005","volume":"4","author":"T Stylianopoulos","year":"2018","unstructured":"Stylianopoulos, T., Munn, L. L. & Jain, R. K. Reengineering the physical microenvironment of tumors to improve drug delivery and efficacy: from mathematical modeling to bench to bedside. Trends cancer 4, 292\u2013319 (2018).","journal-title":"Trends cancer"},{"key":"478_CR24","doi-asserted-by":"publisher","first-page":"20","DOI":"10.1038\/nn.4185","volume":"19","author":"D Hambardzumyan","year":"2016","unstructured":"Hambardzumyan, D., Gutmann, D. H. & Kettenmann, H. The role of microglia and macrophages in glioma maintenance and progression. Nat. Neurosci. 19, 20\u201327 (2016).","journal-title":"Nat. Neurosci."},{"key":"478_CR25","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1007\/s00401-001-0472-x","volume":"103","author":"I Bettinger","year":"2002","unstructured":"Bettinger, I., Thanos, S. & Paulus, W. Microglia promote glioma migration. Acta Neuropathologica 103, 351\u2013355 (2002).","journal-title":"Acta Neuropathologica"},{"key":"478_CR26","doi-asserted-by":"publisher","first-page":"1423","DOI":"10.1038\/nm.3394","volume":"19","author":"DF Quail","year":"2013","unstructured":"Quail, D. F. & Joyce, J. A. Microenvironmental regulation of tumor progression and metastasis. Nat. Med. 19, 1423\u20131437 (2013).","journal-title":"Nat. Med."},{"key":"478_CR27","doi-asserted-by":"publisher","first-page":"595","DOI":"10.1038\/s41593-020-00789-y","volume":"24","author":"AR Pombo Antunes","year":"2021","unstructured":"Pombo Antunes, A. R. et al. Single-cell profiling of myeloid cells in glioblastoma across species and disease stage reveals macrophage competition and specialization. Nat. Neurosci. 24, 595\u2013610 (2021).","journal-title":"Nat. Neurosci."},{"key":"478_CR28","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1002\/path.5984","volume":"258","author":"W Yin","year":"2022","unstructured":"Yin, W. et al. A map of the spatial distribution and tumour-associated macrophage states in glioblastoma and grade 4 idh-mutant astrocytoma. J. Pathol. 258, 121\u2013135 (2022).","journal-title":"J. Pathol."},{"key":"478_CR29","doi-asserted-by":"publisher","first-page":"1050067","DOI":"10.3389\/fimmu.2022.1050067","volume":"13","author":"P Shojaee","year":"2022","unstructured":"Shojaee, P., Mornata, F., Deutsch, A., Locati, M. & Hatzikirou, H. The impact of tumor associated macrophages on tumor biology under the lens of mathematical modelling: A review. Front. Immunol. 13, 1050067 (2022).","journal-title":"Front. Immunol."},{"key":"478_CR30","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/s40478-021-01156-z","volume":"9","author":"A Buonfiglioli","year":"2021","unstructured":"Buonfiglioli, A. & Hambardzumyan, D. Macrophages and microglia: the cerberus of glioblastoma. Acta Neuropathologica Commun. 9, 1\u201321 (2021).","journal-title":"Acta Neuropathologica Commun."},{"key":"478_CR31","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-021-21407-w","volume":"12","author":"N Ochocka","year":"2021","unstructured":"Ochocka, N. et al. Single-cell rna sequencing reveals functional heterogeneity of glioma-associated brain macrophages. Nat. Commun. 12, 1151 (2021).","journal-title":"Nat. Commun."},{"key":"478_CR32","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1038\/nri978","volume":"3","author":"S Gordon","year":"2003","unstructured":"Gordon, S. Alternative activation of macrophages. Nat. Rev. Immunol. 3, 23\u201335 (2003).","journal-title":"Nat. Rev. Immunol."},{"key":"478_CR33","doi-asserted-by":"publisher","first-page":"1565","DOI":"10.21037\/atm-21-4990","volume":"9","author":"Y Han","year":"2021","unstructured":"Han, Y., Wang, X., Xia, K. & Su, T. A novel defined hypoxia-related gene signature to predict the prognosis of oral squamous cell carcinoma. Ann. Transl. Med. 9, 1565 (2021).","journal-title":"Ann. Transl. Med."},{"key":"478_CR34","doi-asserted-by":"publisher","first-page":"5492","DOI":"10.1158\/0008-5472.CAN-18-1367","volume":"78","author":"M Yang","year":"2018","unstructured":"Yang, M., McKay, D., Pollard, J. W. & Lewis, C. E. Diverse functions of macrophages in different tumor microenvironments. Cancer Res. 78, 5492\u20135503 (2018).","journal-title":"Cancer Res."},{"key":"478_CR35","doi-asserted-by":"publisher","first-page":"3672","DOI":"10.1172\/JCI84427","volume":"126","author":"A-T Henze","year":"2016","unstructured":"Henze, A.-T. et al. The impact of hypoxia on tumor-associated macrophages. J. Clin. Investig. 126, 3672\u20133679 (2016).","journal-title":"J. Clin. Investig."},{"key":"478_CR36","doi-asserted-by":"publisher","DOI":"10.1186\/s12943-022-01645-2","volume":"21","author":"R Bai","year":"2022","unstructured":"Bai, R. et al. The hypoxia-driven crosstalk between tumor and tumor-associated macrophages: mechanisms and clinical treatment strategies. Mol. Cancer 21, 177 (2022).","journal-title":"Mol. Cancer"},{"key":"478_CR37","doi-asserted-by":"publisher","first-page":"716","DOI":"10.3390\/cancers11050716","volume":"11","author":"P Mascheroni","year":"2019","unstructured":"Mascheroni, P. et al. On the impact of chemo-mechanically induced phenotypic transitions in gliomas. Cancers 11, 716 (2019).","journal-title":"Cancers"},{"key":"478_CR38","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1038\/srep37283","volume":"6","author":"J Alfonso","year":"2016","unstructured":"Alfonso, J. et al. Why one-size-fits-all vaso-modulatory interventions fail to control glioma invasion: in silico insights. Sci. Rep. 6, 1\u201315 (2016).","journal-title":"Sci. Rep."},{"key":"478_CR39","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1016\/j.jtbi.2019.03.002","volume":"469","author":"GE Mahlbacher","year":"2019","unstructured":"Mahlbacher, G. E., Reihmer, K. C. & Frieboes, H. B. Mathematical modeling of tumor-immune cell interactions. J. Theor. Biol. 469, 47\u201360 (2019).","journal-title":"J. Theor. Biol."},{"key":"478_CR40","doi-asserted-by":"publisher","first-page":"2","DOI":"10.1007\/s11538-010-9526-3","volume":"73","author":"R Eftimie","year":"2011","unstructured":"Eftimie, R., Bramson, J. L. & Earn, D. J. Interactions between the immune system and cancer: a brief review of non-spatial mathematical models. Bull. Math. Biol. 73, 2\u201332 (2011).","journal-title":"Bull. Math. Biol."},{"key":"478_CR41","doi-asserted-by":"publisher","first-page":"523","DOI":"10.1109\/JPROC.2021.3136715","volume":"110","author":"JA Bull","year":"2022","unstructured":"Bull, J. A. & Byrne, H. M. The hallmarks of mathematical oncology. Proc. IEEE 110, 523\u2013540 (2022).","journal-title":"Proc. IEEE"},{"key":"478_CR42","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.plrev.2021.10.001","volume":"39","author":"M Kuznetsov","year":"2021","unstructured":"Kuznetsov, M., Clairambault, J. & Volpert, V. Improving cancer treatments via dynamical biophysical models. Phys. life Rev. 39, 1\u201348 (2021).","journal-title":"Phys. life Rev."},{"key":"478_CR43","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1051\/mmnp\/20127106","volume":"7","author":"K B\u00f6ttger","year":"2012","unstructured":"B\u00f6ttger, K., Hatzikirou, H., Chauviere, A. & Deutsch, A. Investigation of the migration\/proliferation dichotomy and its impact on avascular glioma invasion. Math. Model. Nat. Phenom. 7, 105\u2013135 (2012).","journal-title":"Math. Model. Nat. Phenom."},{"key":"478_CR44","doi-asserted-by":"publisher","first-page":"964898","DOI":"10.3389\/fimmu.2022.964898","volume":"13","author":"G Wang","year":"2022","unstructured":"Wang, G. et al. Tumor-associated microglia and macrophages in glioblastoma: From basic insights to therapeutic opportunities. Front. Immunol. 13, 964898 (2022).","journal-title":"Front. Immunol."},{"key":"478_CR45","doi-asserted-by":"publisher","first-page":"1319","DOI":"10.3390\/cancers14051319","volume":"14","author":"JK Andersen","year":"2022","unstructured":"Andersen, J. K., Miletic, H. & Hossain, J. A. Tumor-associated macrophages in gliomas-basic insights and treatment opportunities. Cancers 14, 1319 (2022).","journal-title":"Cancers"},{"key":"478_CR46","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/s12935-021-02089-2","volume":"21","author":"J Liu","year":"2021","unstructured":"Liu, J., Geng, X., Hou, J. & Wu, G. New insights into m1\/m2 macrophages: key modulators in cancer progression. Cancer Cell Int. 21, 1\u20137 (2021).","journal-title":"Cancer Cell Int."},{"key":"478_CR47","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-019-11911-5","volume":"10","author":"F Zhang","year":"2019","unstructured":"Zhang, F. et al. Genetic programming of macrophages to perform anti-tumor functions using targeted mrna nanocarriers. Nat. Commun. 10, 3974 (2019).","journal-title":"Nat. Commun."},{"key":"478_CR48","doi-asserted-by":"crossref","unstructured":"Muz, B., de la Puente, P., Azab, F., Kareem Azab, A. The role of hypoxia in cancer progression, angiogenesis, metastasis, and resistance to therapy, Hypoxia 83\u201392 (2015).","DOI":"10.2147\/HP.S93413"},{"key":"478_CR49","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1038\/35025220","volume":"407","author":"P Carmeliet","year":"2000","unstructured":"Carmeliet, P. & Jain, R. K. Angiogenesis in cancer and other diseases. nature 407, 249\u2013257 (2000).","journal-title":"nature"},{"key":"478_CR50","doi-asserted-by":"publisher","first-page":"2265","DOI":"10.1002\/ijc.34270","volume":"151","author":"S Magri","year":"2022","unstructured":"Magri, S. et al. The immunosuppression pathway of tumor-associated macrophages is controlled by heme oxygenase-1 in glioblastoma patients. Int. J. Cancer 151, 2265\u20132277 (2022).","journal-title":"Int. J. Cancer"},{"key":"478_CR51","doi-asserted-by":"publisher","first-page":"4298","DOI":"10.2741\/2389","volume":"12","author":"HJ Knowles","year":"2007","unstructured":"Knowles, H. J. & Harris, A. L. Macrophages and the hypoxic tumour microenvironment. Front Biosci. 12, 4298\u20134314 (2007).","journal-title":"Front Biosci."},{"key":"478_CR52","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1111\/cpr.12114","volume":"47","author":"M Badoual","year":"2014","unstructured":"Badoual, M. et al. Oedema-based model for diffuse low-grade gliomas: application to clinical cases under radiotherapy. Cell Prolif. 47, 369\u2013380 (2014).","journal-title":"Cell Prolif."},{"key":"478_CR53","doi-asserted-by":"publisher","first-page":"e1005818","DOI":"10.1371\/journal.pcbi.1005818","volume":"13","author":"Z Neufeld","year":"2017","unstructured":"Neufeld, Z. et al. The role of allee effect in modelling post resection recurrence of glioblastoma. PLoS computational Biol. 13, e1005818 (2017).","journal-title":"PLoS computational Biol."},{"key":"478_CR54","doi-asserted-by":"publisher","first-page":"193","DOI":"10.3934\/dcds.2005.12.193","volume":"12","author":"J-S Guo","year":"2004","unstructured":"Guo, J.-S. & Morita, Y. Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations. Discret. Continuous Dynamical Syst. 12, 193\u2013212 (2004).","journal-title":"Discret. Continuous Dynamical Syst."},{"key":"478_CR55","doi-asserted-by":"publisher","first-page":"7366","DOI":"10.1158\/0008-5472.CAN-11-1399","volume":"71","author":"KR Swanson","year":"2011","unstructured":"Swanson, K. R. et al. Quantifying the role of angiogenesis in malignant progression of gliomas: in silico modeling integrates imaging and histology. Cancer Res. 71, 7366\u20137375 (2011).","journal-title":"Cancer Res."},{"key":"478_CR56","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1097\/nen.0b013e31802d9000","volume":"66","author":"HL Harpold","year":"2007","unstructured":"Harpold, H. L., Alvord Jr, E. C. & Swanson, K. R. The evolution of mathematical modeling of glioma proliferation and invasion. J. Neuropathol. Exp. Neurol. 66, 1\u20139 (2007).","journal-title":"J. Neuropathol. Exp. Neurol."},{"key":"478_CR57","doi-asserted-by":"publisher","first-page":"1177","DOI":"10.1016\/S0895-7177(03)00129-8","volume":"37","author":"K Swanson","year":"2003","unstructured":"Swanson, K., Alvord Jr, E. & Murray, J. Virtual resection of gliomas: effect of extent of resection on recurrence. Math. computer Model. 37, 1177\u20131190 (2003).","journal-title":"Math. computer Model."},{"key":"478_CR58","doi-asserted-by":"publisher","first-page":"178","DOI":"10.1016\/j.jtbi.2008.04.011","volume":"254","author":"S Marino","year":"2008","unstructured":"Marino, S., Hogue, I. B., Ray, C. J. & Kirschner, D. E. A methodology for performing global uncertainty and sensitivity analysis in systems biology. J. Theor. Biol. 254, 178\u2013196 (2008).","journal-title":"J. Theor. Biol."},{"key":"478_CR59","doi-asserted-by":"publisher","first-page":"122","DOI":"10.1016\/j.jtbi.2012.02.002","volume":"301","author":"P Macklin","year":"2012","unstructured":"Macklin, P., Edgerton, M. E., Thompson, A. M. & Cristini, V. Patient-calibrated agent-based modelling of ductal carcinoma in situ (dcis): from microscopic measurements to macroscopic predictions of clinical progression. J. Theor. Biol. 301, 122\u2013140 (2012).","journal-title":"J. Theor. Biol."},{"key":"478_CR60","doi-asserted-by":"publisher","first-page":"1481","DOI":"10.1158\/0008-5472.CAN-12-3429","volume":"73","author":"X Gao","year":"2013","unstructured":"Gao, X., McDonald, J. T., Hlatky, L. & Enderling, H. Acute and fractionated irradiation differentially modulate glioma stem cell division kinetics. Cancer Res. 73, 1481\u20131490 (2013).","journal-title":"Cancer Res."},{"key":"478_CR61","doi-asserted-by":"publisher","first-page":"511","DOI":"10.1111\/j.1365-2184.2009.00613.x","volume":"42","author":"SE Eikenberry","year":"2009","unstructured":"Eikenberry, S. E. et al. Virtual glioblastoma: growth, migration and treatment in a three-dimensional mathematical model. Cell Prolif. 42, 511\u2013528 (2009).","journal-title":"Cell Prolif."},{"key":"478_CR62","doi-asserted-by":"crossref","unstructured":"McDaniel, J. et al. Data assimilation in brain tumor models. Mathematical methods and models in biomedicine, 233\u2013262 (2013).","DOI":"10.1007\/978-1-4614-4178-6_9"},{"key":"478_CR63","doi-asserted-by":"publisher","first-page":"110739","DOI":"10.1016\/j.jtbi.2021.110739","volume":"524","author":"R Eftimie","year":"2021","unstructured":"Eftimie, R. & Barelle, C. Mathematical investigation of innate immune responses to lung cancer: The role of macrophages with mixed phenotypes. J. Theor. Biol. 524, 110739 (2021).","journal-title":"J. Theor. Biol."},{"key":"478_CR64","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1080\/01616412.1996.11740378","volume":"18","author":"WE Hoffman","year":"1996","unstructured":"Hoffman, W. E., Charbel, F. T., Edelman, G., Hannigan, K. & Ausman, J. I. Brain tissue oxygen pressure, carbon dioxide pressure and ph during ischemia. Neurological Res. 18, 54\u201356 (1996).","journal-title":"Neurological Res."},{"key":"478_CR65","doi-asserted-by":"publisher","first-page":"1239","DOI":"10.1111\/j.1582-4934.2011.01258.x","volume":"15","author":"A Carreau","year":"2011","unstructured":"Carreau, A., Hafny-Rahbi, B. E., Matejuk, A., Grillon, C. & Kieda, C. Why is the partial oxygen pressure of human tissues a crucial parameter? small molecules and hypoxia. J. Cell. Mol. Med. 15, 1239\u20131253 (2011).","journal-title":"J. Cell. Mol. Med."},{"key":"478_CR66","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/1745-6150-5-27","volume":"5","author":"I Stamper","year":"2010","unstructured":"Stamper, I., Owen, M., Maini, P. & Byrne, H. Oscillatory dynamics in a model of vascular tumour growth-implications for chemotherapy. Biol. direct 5, 1\u201317 (2010).","journal-title":"Biol. direct"},{"key":"478_CR67","doi-asserted-by":"publisher","first-page":"12091","DOI":"10.1073\/pnas.0905037106","volume":"106","author":"A Matzavinos","year":"2009","unstructured":"Matzavinos, A. et al. Modeling oxygen transport in surgical tissue transfer. Proc. Natl Acad. Sci. 106, 12091\u201312096 (2009).","journal-title":"Proc. Natl Acad. Sci."},{"key":"478_CR68","doi-asserted-by":"crossref","unstructured":"Powathil, G., Kohandel, M., Milosevic, M., & Sivaloganathan, S. Modeling the spatial distribution of chronic tumor hypoxia: implications for experimental and clinical studies. Comput. Math. Methods Med. 2012, 410602 (2012).","DOI":"10.1155\/2012\/410602"},{"key":"478_CR69","doi-asserted-by":"publisher","first-page":"H2250","DOI":"10.1152\/ajpheart.1998.275.6.H2250","volume":"275","author":"CD Eggleton","year":"1998","unstructured":"Eggleton, C. D., Roy, T. K. & Popel, A. S. Predictions of capillary oxygen transport in the presence of fluorocarbon additives. Am. J. Physiol.-Heart Circulatory Physiol. 275, H2250\u2013H2257 (1998).","journal-title":"Am. J. Physiol.-Heart Circulatory Physiol."},{"key":"478_CR70","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1006\/jtbi.2000.2113","volume":"206","author":"D Goldman","year":"2000","unstructured":"Goldman, D. & Popel, A. S. A computational study of the effect of capillary network anastomoses and tortuosity on oxygen transport. J. Theor. Biol. 206, 181\u2013194 (2000).","journal-title":"J. Theor. Biol."},{"key":"478_CR71","doi-asserted-by":"publisher","first-page":"5859","DOI":"10.1088\/0031-9155\/51\/22\/009","volume":"51","author":"CJ Kelly","year":"2006","unstructured":"Kelly, C. J. & Brady, M. A model to simulate tumour oxygenation and dynamic [18f]-fmiso pet data. Phys. Med. Biol. 51, 5859 (2006).","journal-title":"Phys. Med. Biol."},{"key":"478_CR72","doi-asserted-by":"publisher","first-page":"20131124","DOI":"10.1098\/rsif.2013.1124","volume":"11","author":"DR Grimes","year":"2014","unstructured":"Grimes, D. R., Kelly, C., Bloch, K. & Partridge, M. A method for estimating the oxygen consumption rate in multicellular tumour spheroids. J. R. Soc. Interface 11, 20131124 (2014).","journal-title":"J. R. Soc. Interface"},{"key":"478_CR73","first-page":"6449","volume":"49","author":"P Vaupel","year":"1989","unstructured":"Vaupel, P., Kallinowski, F. & Okunieff, P. Blood flow, oxygen and nutrient supply, and metabolic microenvironment of human tumors: a review. Cancer Res. 49, 6449\u20136465 (1989).","journal-title":"Cancer Res."}],"container-title":["npj Systems Biology and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.nature.com\/articles\/s41540-024-00478-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.nature.com\/articles\/s41540-024-00478-7","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.nature.com\/articles\/s41540-024-00478-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T15:04:24Z","timestamp":1736348664000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.nature.com\/articles\/s41540-024-00478-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,1,8]]},"references-count":73,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2025,12]]}},"alternative-id":["478"],"URL":"https:\/\/doi.org\/10.1038\/s41540-024-00478-7","relation":{},"ISSN":["2056-7189"],"issn-type":[{"value":"2056-7189","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,1,8]]},"assertion":[{"value":"22 June 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 December 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 January 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"The authors declare no competing interests.","order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"3"}}