Tumor Development Under Combination Treatments with Anti-angiogenic Therapies
暂无分享,去创建一个
[1] Urszula Ledzewicz,et al. Multi-input Optimal Control Problems for Combined Tumor Anti-angiogenic and Radiotherapy Treatments , 2012, J. Optim. Theory Appl..
[2] Urszula Ledzewicz,et al. Robustness of optimal controls for a class of mathematical models for tumor anti-angiogenesis. , 2011, Mathematical biosciences and engineering : MBE.
[3] Antonio Fasano,et al. A generalization of Gompertz law compatible with the Gyllenberg-Webb theory for tumour growth. , 2011, Mathematical biosciences.
[4] Alberto Gandolfi,et al. Resistance to antitumor chemotherapy due to bounded-noise-induced transitions. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.
[5] Urszula Ledzewicz,et al. Realizable protocols for optimal administration of drugs in mathematical models for anti-angiogenic treatment. , 2010, Mathematical medicine and biology : a journal of the IMA.
[6] Alberto Gandolfi,et al. Chemotherapy of vascularised tumours: role of vessel density and the effect of vascular "pruning". , 2010, Journal of theoretical biology.
[7] Wim Michiels,et al. Recent Advances in Optimization and its Applications in Engineering , 2010 .
[8] A. d’Onofrio,et al. Resistance to anti-tumor chemotherapy due to bounded-noise transitions , 2010 .
[9] Urszula Ledzewicz,et al. Minimizing Tumor Volume for a Mathematical Model of Anti-Angiogenesis with Linear Pharmacokinetics , 2010 .
[10] A. Świerniak,et al. Mathematical modeling as a tool for planning anticancer therapy. , 2009, European journal of pharmacology.
[11] H. Schättler,et al. On optimal delivery of combination therapy for tumors. , 2009, Mathematical biosciences.
[12] A. d’Onofrio. Fractal growth of tumors and other cellular populations : linking the mechanistic to the phenomenological modeling and vice versa , 2014 .
[13] Urszula Ledzewicz,et al. Scheduling of angiogenic inhibitors for Gompertzian and logistic tumor growth models , 2009 .
[14] A. Gandolfi,et al. The dynamics of tumour–vasculature interaction suggests low‐dose, time‐dense anti‐angiogenic schedulings , 2009, Cell proliferation.
[15] Alberto Gandolfi,et al. A family of models of angiogenesis and anti-angiogenesis anti-cancer therapy. , 2008, Mathematical medicine and biology : a journal of the IMA.
[16] Andrzej Świerniak. Comparison of six models of antiangiogenic therapy , 2009 .
[17] Urszula Ledzewicz,et al. No . 4 B Singular controls and chattering arcs in optimal control problems arising in biomedicine , 2010 .
[18] Urszula Ledzewicz,et al. Optimal and suboptimal protocols for a class of mathematical models of tumor anti-angiogenesis. , 2008, Journal of theoretical biology.
[19] A. Świerniak,et al. Direct and indirect control of cancer populations , 2008 .
[20] Paolo Ubezio,et al. Cell killing and resistance in pre-operative breast cancer chemotherapy , 2008, BMC Cancer.
[21] D. Frame. New Strategies in Controlling Drug Resistance , 2007, Journal of managed care pharmacy : JMCP.
[22] Alberto d'Onofrio,et al. Rapidly acting antitumoral antiangiogenic therapies. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[23] Urszula Ledzewicz,et al. AntiAngiogenic Therapy in Cancer Treatment as an Optimal Control Problem , 2007, SIAM J. Control. Optim..
[24] K. Hoo,et al. Understanding the role of the tumour vasculature in the transport of drugs to solid cancer tumours , 2007, Cell proliferation.
[25] J. Folkman. Opinion: Angiogenesis: an organizing principle for drug discovery? , 2007, Nature Reviews Drug Discovery.
[26] U. Ledzewicz,et al. ANTI-ANGIOGENIC THERAPY IN CANCER TREATMENT AS AN OPTIMAL CONTROL PROBLEM , 2007 .
[27] Alberto Gandolfi,et al. The response to antiangiogenic anticancer drugs that inhibit endothelial cell proliferation , 2006, Appl. Math. Comput..
[28] S. McDougall,et al. Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies. , 2006, Journal of theoretical biology.
[29] Andrzej Swierniak,et al. Control Theory Approach to Cancer Chemotherapy: Benefiting from Phase Dependence and Overcoming Drug Resistance , 2006 .
[30] A. d’Onofrio. A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences , 2005, 1309.3337.
[31] P K Maini,et al. A mathematical model of Doxorubicin treatment efficacy for non-Hodgkin’s lymphoma: Investigation of the current protocol through theoretical modelling results , 2005, Bulletin of mathematical biology.
[32] Alberto Gandolfi,et al. Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999). , 2004, Mathematical biosciences.
[33] Peteris Daugulis,et al. Hopf point analysis for angiogenesis models , 2003 .
[34] Ricard V. Solé,et al. Phase transitions in unstable cancer cell populations , 2003 .
[35] M Tubiana,et al. Measuring progress against cancer in Europe: has the 15% decline targeted for 2000 come about? , 2003, Annals of oncology : official journal of the European Society for Medical Oncology.
[36] B Møller,et al. Cancer mortality trends in the EU and acceding countries up to 2015. , 2003, Annals of oncology : official journal of the European Society for Medical Oncology.
[37] L. Wein,et al. Optimal scheduling of radiotherapy and angiogenic inhibitors , 2003, Bulletin of mathematical biology.
[38] Pier Paolo Delsanto,et al. Does tumor growth follow a "universal law"? , 2003, Journal of theoretical biology.
[39] J. Rak,et al. Host microenvironment in breast cancer development: Inflammatory and immune cells in tumour angiogenesis and arteriogenesis , 2003, Breast Cancer Research.
[40] Urszula Ledzewicz,et al. OPTIMAL CONTROL FOR A CLASS OF COMPARTMENTAL MODELS IN CANCER CHEMOTHERAPY , 2003 .
[41] J. Folkman,et al. Clinical translation of angiogenesis inhibitors , 2002, Nature Reviews Cancer.
[42] Ney Lemke,et al. A mean-field theory of cellular growth , 2002 .
[43] Urszula Ledzewicz,et al. ANALYSIS OF A CELL-CYCLE SPECIFIC MODEL FOR CANCER CHEMOTHERAPY , 2002 .
[44] Urszula Ledzewicz,et al. Optimal Bang-Bang Controls for a Two-Compartment Model in Cancer Chemotherapy , 2002 .
[45] A. Goldhirsch,et al. Low-dose oral methotrexate and cyclophosphamide in metastatic breast cancer: antitumor activity and correlation with vascular endothelial growth factor levels. , 2002, Annals of oncology : official journal of the European Society for Medical Oncology.
[46] Rakesh K. Jain,et al. Normalizing tumor vasculature with anti-angiogenic therapy: A new paradigm for combination therapy , 2001, Nature Medicine.
[47] J. Folkman,et al. Antiangiogenic scheduling of chemotherapy improves efficacy against experimental drug-resistant cancer. , 2000, Cancer research.
[48] R. Kerbel. Tumor angiogenesis: past, present and the near future. , 2000, Carcinogenesis.
[49] P. Hahnfeldt,et al. Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy. , 1999, Cancer research.
[50] M. Chaplain,et al. Continuous and discrete mathematical models of tumor-induced angiogenesis , 1998, Bulletin of mathematical biology.
[51] Z. Agur,et al. The growth law of primary breast cancer as inferred from mammography screening trials data. , 1998, British Journal of Cancer.
[52] J C Panetta,et al. A mathematical model of breast and ovarian cancer treated with paclitaxel. , 1997, Mathematical biosciences.
[53] R. Kerbel. A cancer therapy resistant to resistance , 1997, Nature.
[54] William Arbuthnot Sir Lane,et al. Endostatin: An Endogenous Inhibitor of Angiogenesis and Tumor Growth , 1997, Cell.
[55] U. Veronesi,et al. Oxford textbook of oncology , 1996 .
[56] Jaroslaw Smieja,et al. Cell Cycle as an Object of Control , 1995 .
[57] H. Bartelink,et al. Fractionation in radiotherapy. , 1994, Cancer treatment reviews.
[58] R K Sachs,et al. Optimizing the time course of brachytherapy and other accelerated radiotherapeutic protocols. , 1994, International journal of radiation oncology, biology, physics.
[59] Z Bajzer,et al. Analysis of growth of multicellular tumour spheroids by mathematical models , 1994, Cell proliferation.
[60] R. Tibshirani,et al. An Introduction to the Bootstrap , 1995 .
[61] Heinz Schättler,et al. A synthesis of time-optimal controls in the presence of saturated singular arcs , 1993 .
[62] G. W. Swan. Role of optimal control theory in cancer chemotherapy. , 1990, Mathematical biosciences.
[63] J. Fowler. The linear-quadratic formula and progress in fractionated radiotherapy. , 1989, The British journal of radiology.
[64] L. Norton. A Gompertzian model of human breast cancer growth. , 1988, Cancer research.
[65] T. Wheldon. Mathematical models in cancer research , 1988 .
[66] H. Skipper. On mathematical modeling of critical variables in cancer treatment (goals: Better understanding of the past and better planning in the future) , 1986, Bulletin of mathematical biology.
[67] L. Norton,et al. The Norton-Simon hypothesis revisited. , 1986, Cancer treatment reports.
[68] Goldie Jh,et al. A mathematic model for relating the drug sensitivity of tumors to their spontaneous mutation rate. , 1979 .
[69] J H Goldie,et al. A mathematic model for relating the drug sensitivity of tumors to their spontaneous mutation rate. , 1979, Cancer treatment reports.
[70] L. Norton,et al. Growth curve of an experimental solid tumor following radiotherapy. , 1977, Journal of the National Cancer Institute.
[71] M Tatcher,et al. [Fractionation in radiotherapy]. , 1972, Harefuah.
[72] J. Folkman,et al. Anti‐Angiogenesis: New Concept for Therapy of Solid Tumors , 1972, Annals of surgery.
[73] J. Folkman. Tumor angiogenesis: therapeutic implications. , 1971, The New England journal of medicine.