{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T15:32:12Z","timestamp":1772119932205,"version":"3.50.1"},"reference-count":50,"publisher":"Springer Science and Business Media LLC","issue":"11","license":[{"start":{"date-parts":[[2020,11,1]],"date-time":"2020-11-01T00:00:00Z","timestamp":1604188800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,11,1]],"date-time":"2020-11-01T00:00:00Z","timestamp":1604188800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000054","name":"National Cancer Institute","doi-asserted-by":"publisher","award":["R01CA164371"],"award-info":[{"award-number":["R01CA164371"]}],"id":[{"id":"10.13039\/100000054","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000054","name":"National Cancer Institute","doi-asserted-by":"publisher","award":["U54CA193489"],"award-info":[{"award-number":["U54CA193489"]}],"id":[{"id":"10.13039\/100000054","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Bull Math Biol"],"published-print":{"date-parts":[[2020,11]]},"DOI":"10.1007\/s11538-020-00814-y","type":"journal-article","created":{"date-parts":[[2020,11,7]],"date-time":"2020-11-07T03:02:51Z","timestamp":1604718171000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["A Mechanistic Investigation into Ischemia-Driven Distal Recurrence of Glioblastoma"],"prefix":"10.1007","volume":"82","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4083-3803","authenticated-orcid":false,"given":"Lee","family":"Curtin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6391-4155","authenticated-orcid":false,"given":"Andrea","family":"Hawkins-Daarud","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0666-1320","authenticated-orcid":false,"given":"Alyx B.","family":"Porter","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6830-8031","authenticated-orcid":false,"given":"Kristoffer G.","family":"van der Zee","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3028-9138","authenticated-orcid":false,"given":"Markus R.","family":"Owen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2464-6119","authenticated-orcid":false,"given":"Kristin R.","family":"Swanson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,11,7]]},"reference":[{"key":"814_CR1","doi-asserted-by":"crossref","first-page":"886","DOI":"10.1016\/j.ijrobp.2014.07.027","volume":"4","author":"S Adeberg","year":"2014","unstructured":"Adeberg S, K\u00f6nig L, Bostel T, Harrabi S, Welzel T, Debus J, Combs S\u00a0E (2014) Glioblastoma recurrence patterns after radiation therapy with regard to the subventricular zone. Int J Radiat Oncol Biol Phys 90 4:886\u2013893","journal-title":"Int J Radiat Oncol Biol Phys 90"},{"key":"814_CR2","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1016\/j.apm.2017.03.045","volume":"48","author":"F Ansarizadeh","year":"2017","unstructured":"Ansarizadeh F, Singh M, Richards D (2017) Modelling of tumor cells regression in response to chemotherapeutic treatment. Appl Math Model 48:96\u2013112","journal-title":"Appl Math Model"},{"key":"814_CR3","doi-asserted-by":"crossref","unstructured":"Armento A, Ehlers J, Sch\u00f6tterl S, Naumann U (2017) Molecular mechanisms of glioma cell motility. Exon Publications 73\u201393","DOI":"10.15586\/codon.glioblastoma.2017.ch5"},{"issue":"3","key":"814_CR4","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1016\/j.jtbi.2009.10.021","volume":"262","author":"L Barazzuol","year":"2010","unstructured":"Barazzuol L, Burnet NG, Jena R, Jones B, Jefferies SJ, Kirkby NF (2010) A mathematical model of brain tumour response to radiotherapy and chemotherapy considering radiobiological aspects. J Theor Biol 262(3):553\u2013565","journal-title":"J Theor Biol"},{"issue":"1","key":"814_CR5","doi-asserted-by":"crossref","first-page":"4561","DOI":"10.1038\/s41598-018-22697-9","volume":"8","author":"S Bette","year":"2018","unstructured":"Bette S, Barz M, Huber T, Straube C, Schmidt-Graf F, Combs SE, Delbridge C, Gerhardt J, Zimmer C, Meyer B et al (2018) Retrospective analysis of radiological recurrence patterns in glioblastoma, their prognostic value and association to postoperative infarct volume. Sci Rep 8(1):4561","journal-title":"Sci Rep"},{"issue":"38","key":"814_CR6","doi-asserted-by":"crossref","first-page":"61945","DOI":"10.18632\/oncotarget.11482","volume":"7","author":"S Bette","year":"2016","unstructured":"Bette S, Wiestler B, Kaesmacher J, Huber T, Gerhardt J, Barz M, Delbridge C, Ryang Y-M, Ringel F, Zimmer C et al (2016) Infarct volume after glioblastoma surgery as an independent prognostic factor. Oncotarget 7(38):61945","journal-title":"Oncotarget"},{"issue":"5","key":"814_CR7","doi-asserted-by":"crossref","first-page":"20160039","DOI":"10.1098\/rsfs.2016.0039","volume":"6","author":"A Boujelben","year":"2016","unstructured":"Boujelben A, Watson M, McDougall S, Yen Y-F, Gerstner ER, Catana C, Deisboeck T, Batchelor TT, Boas D, Rosen B et al (2016) Multimodality imaging and mathematical modelling of drug delivery to glioblastomas. Interface Focus 6(5):20160039","journal-title":"Interface Focus"},{"issue":"2","key":"814_CR8","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/j.clon.2005.08.017","volume":"18","author":"N Burnet","year":"2006","unstructured":"Burnet N, Jena R, Jefferies S, Stenning S, Kirkby N (2006) Mathematical modelling of survival of glioblastoma patients suggests a role for radiotherapy dose escalation and predicts poorer outcome after delay to start treatment. Clin Oncol 18(2):93\u2013103","journal-title":"Clin Oncol"},{"issue":"2","key":"814_CR9","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1007\/s11060-010-0251-4","volume":"101","author":"M Chamberlain","year":"2011","unstructured":"Chamberlain M (2011) Radiographic patterns of relapse in glioblastoma. J Neuro-oncol 101(2):319\u2013323","journal-title":"J Neuro-oncol"},{"key":"814_CR10","unstructured":"Cocosco CA, Kollokian V, Kwan R K-S, Pike GB, Evans AC (1997) Brainweb: Online interface to a 3d mri simulated brain database. In NeuroImage, Citeseer"},{"issue":"3","key":"814_CR11","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1109\/42.712135","volume":"17","author":"DL Collins","year":"1998","unstructured":"Collins DL, Zijdenbos AP, Kollokian V, Sled JG, Kabani NJ, Holmes CJ, Evans AC (1998) Design and construction of a realistic digital brain phantom. IEEE Trans Med Imaging 17(3):463\u2013468","journal-title":"IEEE Trans Med Imaging"},{"issue":"3","key":"814_CR12","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11538-020-00718-x","volume":"82","author":"L Curtin","year":"2020","unstructured":"Curtin L, Hawkins-Daarud A, Van Der Zee KG, Swanson KR, Owen MR (2020) Speed switch in glioblastoma growth rate due to enhanced hypoxia-induced migration. Bull Math Biol 82(3):1\u201317","journal-title":"Bull Math Biol"},{"issue":"1","key":"814_CR13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1186\/s13062-015-0100-7","volume":"11","author":"VL de Rioja","year":"2016","unstructured":"de Rioja VL, Isern N, Fort J (2016) A mathematical approach to virus therapy of glioblastomas. Biol Direct 11(1):1","journal-title":"Biol Direct"},{"issue":"1","key":"814_CR14","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1148\/radiology.195.1.7892494","volume":"195","author":"D Delbeke","year":"1995","unstructured":"Delbeke D, Meyerowitz C, Lapidus R, Maciunas R, Jennings M, Moots P, Kessler R (1995) Optimal cutoff levels of f-18 fluorodeoxyglucose uptake in the differentiation of low-grade from high-grade brain tumors with pet. Radiology 195(1):47\u201352","journal-title":"Radiology"},{"key":"814_CR15","doi-asserted-by":"crossref","first-page":"S59","DOI":"10.1016\/j.neuroimage.2007.03.008","volume":"37","author":"HB Frieboes","year":"2007","unstructured":"Frieboes HB, Lowengrub JS, Wise S, Zheng X, Macklin P, Bearer EL, Cristini V (2007) Computer simulation of glioma growth and morphology. Neuroimage 37:S59\u2013S70","journal-title":"Neuroimage"},{"issue":"2","key":"814_CR16","doi-asserted-by":"crossref","first-page":"e1007672","DOI":"10.1371\/journal.pcbi.1007672","volume":"16","author":"JA Gallaher","year":"2020","unstructured":"Gallaher JA, Massey SC, Hawkins-Daarud A, Noticewala SS, Rockne RC, Johnston SK, Gonzalez-Cuyar L, Juliano J, Gil O, Swanson KR et al (2020) From cells to tissue: How cell scale heterogeneity impacts glioblastoma growth and treatment response. PLoS Comput Biol 16(2):e1007672","journal-title":"PLoS Comput Biol"},{"issue":"1","key":"814_CR17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1097\/nen.0b013e31802d9000","volume":"66","author":"H Harpold","year":"2007","unstructured":"Harpold H, Alvord E, Swanson K (2007) The evolution of mathematical modeling of glioma proliferation and invasion. J Neuropathol Exp Neurol 66(1):1\u20139","journal-title":"J Neuropathol Exp Neurol"},{"key":"814_CR18","doi-asserted-by":"crossref","first-page":"66","DOI":"10.3389\/fonc.2013.00066","volume":"3","author":"A Hawkins-Daarud","year":"2013","unstructured":"Hawkins-Daarud A, Rockne R, Anderson A, Swanson KR (2013) Modeling tumor-associated edema in gliomas during anti-angiogenic therapy and its impact on imageable tumor. Front Oncol 3:66","journal-title":"Front Oncol"},{"issue":"9","key":"814_CR19","doi-asserted-by":"crossref","first-page":"3749","DOI":"10.1073\/pnas.1014480108","volume":"108","author":"O Keunen","year":"2011","unstructured":"Keunen O, Johansson M, Oudin A, Sanzey M, Rahim S, Fack F, Thorsen F, Taxt T, Bartos M, Jirik R et al (2011) Anti-vegf treatment reduces blood supply and increases tumor cell invasion in glioblastoma. Proc Natl Acad Sci 108(9):3749\u20133754","journal-title":"Proc Natl Acad Sci"},{"key":"814_CR20","unstructured":"Kwan RK-S, Evans AC, Pike GB (1996) An extensible mri simulator for post-processing evaluation. In: Visualization in biomedical computing, Springer, pp\u00a0135\u2013140"},{"issue":"11","key":"814_CR21","doi-asserted-by":"crossref","first-page":"1085","DOI":"10.1109\/42.816072","volume":"18","author":"R-S Kwan","year":"1999","unstructured":"Kwan R-S, Evans AC, Pike GB (1999) Mri simulation-based evaluation of image-processing and classification methods. IEEE Trans Med Imaging 18(11):1085\u20131097","journal-title":"IEEE Trans Med Imaging"},{"issue":"3","key":"814_CR22","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1016\/j.cell.2013.12.029","volume":"156","author":"K Leder","year":"2014","unstructured":"Leder K, Pitter K, LaPlant Q, Hambardzumyan D, Ross BD, Chan TA, Holland EC, Michor F (2014) Mathematical modeling of pdgf-driven glioblastoma reveals optimized radiation dosing schedules. Cell 156(3):603\u2013616","journal-title":"Cell"},{"issue":"3","key":"814_CR23","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/j.tibs.2015.12.001","volume":"41","author":"MV Liberti","year":"2016","unstructured":"Liberti MV, Locasale JW (2016) The warburg effect: how does it benefit cancer cells? Trends Biochem Sci 41(3):211\u2013218","journal-title":"Trends Biochem Sci"},{"key":"814_CR24","unstructured":"Louis D, Ohgaki H, Wiestler O, Cavenee W (2016) WHO Classification of Tumours of the Central Nervous System, Revised. Fourth Edition. International Agency for Research on Cancer"},{"issue":"4","key":"814_CR25","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1016\/j.jtbi.2006.12.004","volume":"245","author":"P Macklin","year":"2007","unstructured":"Macklin P, Lowengrub J (2007) Nonlinear simulation of the effect of microenvironment on tumor growth. J Theor Biol 245(4):677\u2013704","journal-title":"J Theor Biol"},{"issue":"12","key":"814_CR26","doi-asserted-by":"crossref","first-page":"2875","DOI":"10.1007\/s11538-012-9786-1","volume":"74","author":"A Mart\u00ednez-Gonz\u00e1lez","year":"2012","unstructured":"Mart\u00ednez-Gonz\u00e1lez A, Calvo G, Romasanta L, P\u00e9rez-Garc\u00eda V (2012) Hypoxic cell waves around necrotic cores in glioblastoma: a biomathematical model and its therapeutic implications. Bull Math Biol 74(12):2875\u20132896","journal-title":"Bull Math Biol"},{"issue":"11","key":"814_CR27","doi-asserted-by":"crossref","first-page":"e1005818","DOI":"10.1371\/journal.pcbi.1005818","volume":"13","author":"Z Neufeld","year":"2017","unstructured":"Neufeld Z, von Witt W, Lakatos D, Wang J, Hegedus B, Czirok A (2017) The role of allee effect in modelling post resection recurrence of glioblastoma. PLoS Comput Biol 13(11):e1005818","journal-title":"PLoS Comput Biol"},{"key":"814_CR28","doi-asserted-by":"crossref","first-page":"360","DOI":"10.1016\/j.cnsns.2016.03.014","volume":"39","author":"R Pardo","year":"2016","unstructured":"Pardo R, Martinez-Gonzalez A, Perez-Garcia VM (2016) Nonlinear ghost waves accelerate the progression of high-grade brain tumors. Commun Nonlinear Sci Numer Simul 39:360\u2013380","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"1","key":"814_CR29","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1097\/00006123-200207000-00002","volume":"51","author":"SM Raza","year":"2002","unstructured":"Raza SM, Lang FF, Aggarwal BB, Fuller GN, Wildrick DM, Sawaya R (2002) Necrosis and glioblastoma: a friend or a foe? A review and a hypothesis. Neurosurgery 51(1):2\u201313","journal-title":"Neurosurgery"},{"issue":"103","key":"814_CR30","doi-asserted-by":"crossref","first-page":"20141174","DOI":"10.1098\/rsif.2014.1174","volume":"12","author":"RC Rockne","year":"2015","unstructured":"Rockne RC, Trister AD, Jacobs J, Hawkins-Daarud AJ, Neal ML, Hendrickson K, Mrugala MM, Rockhill JK, Kinahan P, Krohn KA et al (2015) A patient-specific computational model of hypoxia-modulated radiation resistance in glioblastoma using 18f-fmiso-pet. J R Soc Interface 12(103):20141174","journal-title":"J R Soc Interface"},{"key":"814_CR31","unstructured":"Roniotis A, Sakkalis V, Tzamali E, Tzedakis G, Zervakis, M, Marias K (2012) Solving the pihna model while accounting for radiotherapy. In: Advanced Research Workshop on In Silico Oncology and Cancer Investigation-The TUMOR Project Workshop (IARWISOCI), 2012 5th International, IEEE, pp\u00a01\u20134"},{"issue":"1","key":"814_CR32","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1038\/s41598-017-02462-0","volume":"7","author":"EM Rutter","year":"2017","unstructured":"Rutter EM, Stepien TL, Anderies BJ, Plasencia JD, Woolf EC, Scheck AC, Turner GH, Liu Q, Frakes D, Kodibagkar V et al (2017) Mathematical analysis of glioma growth in a murine model. Sci Rep 7(1):1\u201316","journal-title":"Sci Rep"},{"issue":"12","key":"814_CR33","doi-asserted-by":"crossref","first-page":"e115018","DOI":"10.1371\/journal.pone.0115018","volume":"9","author":"E Scribner","year":"2014","unstructured":"Scribner E, Saut O, Province P, Bag A, Colin T, Fathallah-Shaykh HM (2014) Effects of anti-angiogenesis on glioblastoma growth and migration: model to clinical predictions. PLoS One 9(12):e115018","journal-title":"PLoS One"},{"issue":"3","key":"814_CR34","doi-asserted-by":"crossref","first-page":"525","DOI":"10.3171\/jns.1997.86.3.0525","volume":"86","author":"D Silbergeld","year":"1997","unstructured":"Silbergeld D, Chicoine M (1997) Isolation and characterization of human malignant glioma cells from histologically normal brain. J Neurosurg 86(3):525\u2013531","journal-title":"J Neurosurg"},{"issue":"7","key":"814_CR35","doi-asserted-by":"crossref","first-page":"840","DOI":"10.1016\/j.clineuro.2012.01.026","volume":"114","author":"AM Stark","year":"2012","unstructured":"Stark AM, van de Bergh J, Hedderich J, Mehdorn HM, Nabavi A (2012) Glioblastoma: clinical characteristics, prognostic factors and survival in 492 patients. Clin Neurol Neurosurg 114(7):840\u2013845","journal-title":"Clin Neurol Neurosurg"},{"issue":"1","key":"814_CR36","doi-asserted-by":"crossref","first-page":"356","DOI":"10.1529\/biophysj.106.093468","volume":"92","author":"AM Stein","year":"2007","unstructured":"Stein AM, Demuth T, Mobley D, Berens M, Sander LM (2007) A mathematical model of glioblastoma tumor spheroid invasion in a three-dimensional in vitro experiment. Biophys J 92(1):356\u2013365","journal-title":"Biophys J"},{"issue":"5","key":"814_CR37","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1016\/S1470-2045(09)70025-7","volume":"10","author":"R Stupp","year":"2009","unstructured":"Stupp R, Hegi M, Mason W, van den Bent M, Taphoorn M, Janzer R, Ludwin S, Allgeier A, Fisher B, Belanger K et al (2009) Effects of radiotherapy with concomitant and adjuvant temozolomide versus radiotherapy alone on survival in glioblastoma in a randomised phase iii study: 5-year analysis of the eortc-ncic trial. Lancet Oncol 10(5):459\u2013466","journal-title":"Lancet Oncol"},{"issue":"3","key":"814_CR38","doi-asserted-by":"crossref","first-page":"941","DOI":"10.1007\/s00285-019-01383-y","volume":"79","author":"S Subramanian","year":"2019","unstructured":"Subramanian S, Gholami A, Biros G (2019) Simulation of glioblastoma growth using a 3d multispecies tumor model with mass effect. J Math Biol 79(3):941\u2013967","journal-title":"J Math Biol"},{"issue":"5","key":"814_CR39","doi-asserted-by":"crossref","first-page":"1259","DOI":"10.1007\/s11538-017-0271-8","volume":"80","author":"A Swan","year":"2018","unstructured":"Swan A, Hillen T, Bowman J, Murtha A (2018) A patient-specific anisotropic diffusion model for brain tumour spread. Bull Math Biol 80(5):1259\u20131291","journal-title":"Bull Math Biol"},{"key":"814_CR40","unstructured":"Swanson K (1999) Mathematical Modeling of the Growth and Control of Tumors. PhD thesis, University of Washington"},{"issue":"5","key":"814_CR41","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1046\/j.1365-2184.2000.00177.x","volume":"33","author":"KR Swanson","year":"2000","unstructured":"Swanson KR, Alvord E Jr, Murray J (2000) A quantitative model for differential motility of gliomas in grey and white matter. Cell Prolif 33(5):317\u201329","journal-title":"Cell Prolif"},{"issue":"1","key":"814_CR42","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.jns.2003.06.001","volume":"216","author":"KR Swanson","year":"2003","unstructured":"Swanson KR, Bridge C, Murray J, Alvord E (2003) Virtual and real brain tumors: using mathematical modeling to quantify glioma growth and invasion. J Neurol Sci 216(1):1\u201310","journal-title":"J Neurol Sci"},{"issue":"24","key":"814_CR43","doi-asserted-by":"crossref","first-page":"7366","DOI":"10.1158\/0008-5472.CAN-11-1399","volume":"71","author":"KR Swanson","year":"2011","unstructured":"Swanson KR, Rockne R, Claridge J, Chaplain M, Alvord E, Anderson A (2011) Quantifying the role of angiogenesis in malignant progression of gliomas: in silico modeling integrates imaging and histology. Cancer Res 71(24):7366\u20137375","journal-title":"Cancer Res"},{"issue":"1","key":"814_CR44","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1038\/sj.bjc.6604125","volume":"98","author":"KR Swanson","year":"2008","unstructured":"Swanson KR, Rostomily R, Alvord E (2008) A mathematical modelling tool for predicting survival of individual patients following resection of glioblastoma: a proof of principle. Br J Cancer 98(1):113\u2013119","journal-title":"Br J Cancer"},{"issue":"16","key":"814_CR45","doi-asserted-by":"crossref","first-page":"14537","DOI":"10.18632\/oncotarget.3994","volume":"6","author":"A Thiepold","year":"2015","unstructured":"Thiepold A, Luger S, Wagner M, Filmann N, Ronellenfitsch M, Harter P, Braczynski A, D\u00fctzmann S, Hattingen E, Steinbach J et al (2015) Perioperative cerebral ischemia promote infiltrative recurrence in glioblastoma. Oncotarget 6(16):14537","journal-title":"Oncotarget"},{"issue":"1","key":"814_CR46","doi-asserted-by":"crossref","first-page":"148","DOI":"10.1158\/jcr.1925.148","volume":"9","author":"O Warburg","year":"1925","unstructured":"Warburg O (1925) The metabolism of carcinoma cells. J Cancer Res 9(1):148\u2013163","journal-title":"J Cancer Res"},{"issue":"6","key":"814_CR47","doi-asserted-by":"crossref","first-page":"1220","DOI":"10.1161\/01.STR.17.6.1220","volume":"17","author":"T Yamaguchi","year":"1986","unstructured":"Yamaguchi T, Kanno I, Uemura K, Shishido F, Inugami A, Ogawa T, Murakami M, Suzuki K (1986) Reduction in regional cerebral metabolic rate of oxygen during human aging. Stroke 17(6):1220\u20131228","journal-title":"Stroke"},{"issue":"7","key":"814_CR48","doi-asserted-by":"crossref","first-page":"e723","DOI":"10.1038\/cddis.2013.232","volume":"4","author":"Y Yang","year":"2013","unstructured":"Yang Y, Hou L, Li Y, Ni J, Liu L (2013) Neuronal necrosis and spreading death in a drosophila genetic model. Cell Death Dis 4(7):e723","journal-title":"Cell Death Dis"},{"issue":"12","key":"814_CR49","doi-asserted-by":"crossref","first-page":"1221","DOI":"10.1038\/labinvest.3700482","volume":"86","author":"D Zagzag","year":"2006","unstructured":"Zagzag D, Lukyanov Y, Lan L, Ali MA, Esencay M, Mendez O, Yee H, Voura EB, Newcomb EW (2006) Hypoxia-inducible factor 1 and vegf upregulate cxcr4 in glioblastoma: implications for angiogenesis and glioma cell invasion. Lab Investig 86(12):1221","journal-title":"Lab Investig"},{"issue":"3","key":"814_CR50","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1007\/s11060-008-9718-y","volume":"91","author":"R Zuniga","year":"2009","unstructured":"Zuniga R, Torcuator R, Jain R, Anderson J, Doyle T, Ellika S, Schultz L, Mikkelsen T (2009) Efficacy, safety and patterns of response and recurrence in patients with recurrent high-grade gliomas treated with bevacizumab plus irinotecan. J Neuro-oncol 91(3):329","journal-title":"J Neuro-oncol"}],"container-title":["Bulletin of Mathematical Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11538-020-00814-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11538-020-00814-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11538-020-00814-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,20]],"date-time":"2020-11-20T05:29:37Z","timestamp":1605850177000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11538-020-00814-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,11]]},"references-count":50,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2020,11]]}},"alternative-id":["814"],"URL":"https:\/\/doi.org\/10.1007\/s11538-020-00814-y","relation":{"has-preprint":[{"id-type":"doi","id":"10.1101\/2020.04.03.022202","asserted-by":"object"}]},"ISSN":["0092-8240","1522-9602"],"issn-type":[{"value":"0092-8240","type":"print"},{"value":"1522-9602","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,11]]},"assertion":[{"value":"1 April 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 September 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 November 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"143"}}