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Mathematical investigation of antiangiogenic monotherapy effect on heterogeneous tumor progression
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List of references:
- Моделирование эволюции клеточной популяции при наличии максимально допустимой суммарной плотности клеток // Кpаткие cообщения по физике ФИАН. — 1997. — Т. 11–12. — С. 85.
- Modeling of cell population evolution in presence of maximum permissible total cell density // Teoreticheskaya i matematicheskaya fizika. — 1997. — V. 11–12. — P. 85. — in Russian. , .
, . - Лекции по вычислительной математике. — Интернет-ун-т информ. технологий, 2006.
- Lectures on Computational Mathematics. — Internetun-t inform. tekhnologij, 2006. — in Russian. — MathSciNet: MR0319599. , .
, . - Bridging Sunitinib Exposure to Time-to-Tumor Progression in Hepatocellular Carcinoma Patients With Mathematical Modeling of an Angiogenic Biomarker // CPT: Pharmacometrics & Systems Pharmacology. — 2016. — V. 5. — P. 297–304. — DOI: 10.1002/psp4.12084. , , .
- Continuous and discrete mathematical models of tumor-induced angiogenesis // Bulletin of mathematical biology. — 1998. — V. 60, no. 5. — P. 857–899. — DOI: 10.1006/bulm.1998.0042. — zbMATH: Zbl 0923.92011. , .
- Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works // Journal of computational physics. — 1973. — V. 11, no. 1. — P. 38–69. — DOI: 10.1016/0021-9991(73)90147-2. — zbMATH: Zbl 0251.76004. , .
- Bevacizumab induced hypertension in gynecologic cancer: Does it resolve after completion of therapy? // Gynecologic Oncology Reports. — 2016. — V. 17. — P. 65–68. — DOI: 10.1016/j.gore.2016.06.002. , , , et al.
- Tumor invasion after treatment of glioblastoma with bevacizumab: radiographic and pathologic correlation in humans and mice // Neuro-oncology. — 2010. — V. 12, no. 3. — P. 233–242. — DOI: 10.1093/neuonc/nop027. , , , et al.
- Antiangiogenic therapy: impact on invasion, disease progression, and metastasis // Nature reviews Clinical oncology. — 2011. — V. 8, no. 4. — P. 210–221. — DOI: 10.1038/nrclinonc.2011.21. , .
- The biology of VEGF and its receptors // Nature medicine. — 2003. — V. 9, no. 6. — P. 669–676. — DOI: 10.1038/nm0603-669. , , .
- Tumor angiogenesis: therapeutic implications // New england journal of medicine. — 1971. — V. 285, no. 21. — P. 1182–1186. — DOI: 10.1056/NEJM197111182852108. .
- A rectovaginal fistula after treatment with bevacizumab. A dangerous side effect needing emergency treatment // Clinical case reports. — 2016. — V. 4, no. 4. — P. 449–450. — DOI: 10.1002/ccr3.523. , , , et al.
- Avastin full Prescribing Information. — Genentech Inc. — http://www.gene.com/download/pdf/avastin_prescribing.pdf. — (2015-09-30).
- Depth-resolved monitoring of glucose diffusion in tissues by using optical coherence tomography // Optics letters. — 2006. — V. 31, no. 15. — P. 2314–2316. — DOI: 10.1364/OL.31.002314. , , .
- Cost of migration: invasion of malignant gliomas and implications for treatment // Journal of clinical oncology. — 2003. — V. 21, no. 8. — P. 1624–1636. — DOI: 10.1200/JCO.2003.05.063. , , , .
- Modeling tumor-associated edema in gliomas during anti-angiogenic therapy and its impact on imageable tumor // Frontiers in oncology. — 2013. — V. 3. — P. 66. — DOI: 10.3389/fonc.2013.00066. , , , et al.
- Prediction of tumour necrosis fractions using metabolic and volumetric 18F-FDG PET/CT indices, after one course and at the completion of neoadjuvant chemotherapy, in children and young adults with osteosarcoma // European journal of nuclear medicine and molecular imaging. — 2012. — V. 39, no. 1. — P. 39–49. — DOI: 10.1007/s00259-011-1936-4. — zbMATH: Zbl 1284.20059. , , , et al.
- VEGF profiling and angiogenesis in human microtissues // Journal of biotechnology. — 2005. — V. 118, no. 2. — P. 213–229. — DOI: 10.1016/j.jbiotec.2005.03.016. , , , et al.
- Preclinical recapitulation of antiangiogenic drug clinical efficacies using models of early or late stage breast cancer metastatis // The Breast. — 2013. — V. 22. — P. S57–S65. — DOI: 10.1016/j.breast.2013.07.011. , , , et al.
- Anti-VEGF treatment reduces blood supply and increases tumor cell invasion in glioblastoma // Proceedings of the National Academy of Sciences. — 2011. — V. 108, no. 9. — P. 3749–3754. — DOI: 10.1073/pnas.1014480108. , , , et al.
- Inhibition of vascular endothelial growth factor-induced angiogenesis suppresses tumour growth in vivo // Letters to Nature. — 1993. — V. 362. — P. 841–844. — DOI: 10.1038/362841a0. , , , et al.
- Release kinetics of VEGF165 from a collagen matrix and structural matrix changes in a circulation model // Head & face medicine. — 2010. — V. 6, no. 1. — P. 17. — DOI: 10.1186/1746-160X-6-17. , , , et al.
- The role of cell motility in metastatic cell dominance phenomenon: analysis by a mathematical model // Computational and Mathematical Methods in Medicine. — 2000. — V. 3, no. 1. — P. 63–77. — zbMATH: Zbl 0980.92014. , , .
- The study of angiogenesis effect on the growth rate of an invasive tumor using a mathematical model // Russian Journal of Numerical Analysis and Mathematical Modelling. — 2013. — V. 28, no. 5. — P. 471–484. — DOI: 10.1515/rnam-2013-0026. — MathSciNet: MR3296416. , .
- The study of antitumor efficacy of bevacizumab antiangiogenic therapy using a mathematical model // Russian Journal of Numerical Analysis and Mathematical Modelling. — 2015. — V. 30, no. 5. — P. 289–297. — DOI: 10.1515/rnam-2015-0026. — MathSciNet: MR3420393. — zbMATH: Zbl 1325.92046. , , .
- Mathematical modelling of tissue-engineered angiogenesis // Mathematical biosciences. — 2009. — V. 221, no. 2. — P. 101–120. — DOI: 10.1016/j.mbs.2009.07.003. — MathSciNet: MR2561137. — zbMATH: Zbl 1175.92028. , , , et al.
- An introduction to cardiovascular physiology. — Butterworth-Heinemann, 2013. .
- Theoretical investigation of the efficacy of antiangiogenic drugs combined to chemotherapy in xenografted mice // Journal of theoretical biology. — 2013. — V. 320. — P. 86–99. — DOI: 10.1016/j.jtbi.2012.12.013. — MathSciNet: MR3042459. , , , et al.
- Mathematical modeling of tumor-induced angiogenesis // Journal of mathematical biology. — 2004. — V. 49, no. 2. — P. 111–187. — DOI: 10.1007/s00285-003-0262-2. — MathSciNet: MR2145689. — zbMATH: Zbl 1109.92020. , , .
- A hybrid model for three-dimensional simulations of sprouting angiogenesis // Biophysical journal. — 2008. — V. 95, no. 7. — P. 3146–3160. — DOI: 10.1529/biophysj.107.124511. — MathSciNet: MR2283233. , , .
- Bevacizumab and micrometastases: revisiting the preclinical and clinical rollercoaster // Pharmacology & therapeutics. — 2014. — V. 141, no. 2. — P. 117–124. — DOI: 10.1016/j.pharmthera.2013.09.003. , , .
- Antiangiogenic therapy using bevacizumab in recurrent high-grade glioma: impact on local control and patient survival: clinical article // Journal of neurosurgery. — 2009. — V. 110, no. 1. — P. 173–180. — DOI: 10.3171/2008.4.17492. , , , et al.
- Antiangiogenic therapy elicits malignant progression of tumors to increased local invasion and distant metastasis // Cancer cell. — 2009. — V. 15, no. 3. — P. 220–231. — DOI: 10.1016/j.ccr.2009.01.027. , , , et al.
- Binding and neutralization of vascular endothelial growth factor (VEGF) and related ligands by VEGF Trap, ranibizumab and bevacizumab // Angiogenesis. — 2012. — V. 15, no. 2. — P. 171–185. — DOI: 10.1007/s10456-011-9249-6. , , , et al.
- Acquired resistance to anti-VEGF therapy in glioblastoma is associated with a mesenchymal transition // Clinical Cancer Research. — 2013. — V. 19, no. 16. — P. 4392–4403. — DOI: 10.1158/1078-0432.CCR-12-1557. , , , et al.
- Analysis of growth kinetics and proliferative heterogeneity of lewis lung carcinoma cells growing as unfed culture // Exp. Oncol. — 2008. — V. 30, no. 4. — P. 269–275. , , , et al.
- Systems Biology of Tumor Microenvironment. — Springer, 2016. .
- A multilayer grow-or-go model for GBM: effects of invasive cells and anti-angiogenesis on growth // Bulletin of mathematical biology. — 2014. — V. 76, no. 9. — P. 2306–2333. — DOI: 10.1007/s11538-014-0007-y. — MathSciNet: MR3255167. — zbMATH: Zbl 1300.92043. , , , .
- Understanding the Warburg effect: the metabolic requirements of cell proliferation // Science. — 2009. — V. 324, no. 5930. — P. 1029–1033. — DOI: 10.1126/science.1160809. , , , .
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