Ghazani, Mehran Akbarpour; Soltani, M.; Jalali, Peyman; Hassannejad, Reza A novel numerical and artificial intelligence based approach to study anti-angiogenic drugs: endostatin. (English) Zbl 07635637 Appl. Math. Modelling 105, 258-283 (2022). MSC: 92Cxx 35Qxx 65Cxx PDF BibTeX XML Cite \textit{M. A. Ghazani} et al., Appl. Math. Modelling 105, 258--283 (2022; Zbl 07635637) Full Text: DOI OpenURL
Zheng, Xiaoming; Sweidan, Mohye A mathematical model of angiogenesis and tumor growth: analysis and application in anti-angiogenesis therapy. (English) Zbl 1400.92295 J. Math. Biol. 77, No. 5, 1589-1622 (2018). MSC: 92C50 35Q92 92C37 PDF BibTeX XML Cite \textit{X. Zheng} and \textit{M. Sweidan}, J. Math. Biol. 77, No. 5, 1589--1622 (2018; Zbl 1400.92295) Full Text: DOI OpenURL
Glick, Adam E.; Mastroberardino, Antonio An optimal control approach for the treatment of solid tumors with angiogenesis inhibitors. (English) Zbl 1394.92057 Mathematics 5, No. 4, Paper No. 49, 14 p. (2017). MSC: 92C50 49K15 49N90 PDF BibTeX XML Cite \textit{A. E. Glick} and \textit{A. Mastroberardino}, Mathematics 5, No. 4, Paper No. 49, 14 p. (2017; Zbl 1394.92057) Full Text: DOI OpenURL
Kaya, C. Yalçın; Maurer, Helmut A numerical method for nonconvex multi-objective optimal control problems. (English) Zbl 1301.49082 Comput. Optim. Appl. 57, No. 3, 685-702 (2014). MSC: 49M30 90C29 PDF BibTeX XML Cite \textit{C. Y. Kaya} and \textit{H. Maurer}, Comput. Optim. Appl. 57, No. 3, 685--702 (2014; Zbl 1301.49082) Full Text: DOI Link OpenURL
Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz Optimal and suboptimal protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy. (English) Zbl 1259.92048 Math. Biosci. Eng. 8, No. 2, 307-323 (2011). MSC: 92C50 49N90 PDF BibTeX XML Cite \textit{U. Ledzewicz} et al., Math. Biosci. Eng. 8, No. 2, 307--323 (2011; Zbl 1259.92048) Full Text: DOI OpenURL
Ledzewicz, Urszula; Marriott, John; Maurer, Helmut; Schättler, Heinz Realizable protocols for optimal administration of drugs in mathematical models for anti-angiogenic treatment. (English) Zbl 1190.92015 Math. Med. Biol. 27, No. 2, 157-179 (2010). MSC: 92C50 49N90 PDF BibTeX XML Cite \textit{U. Ledzewicz} et al., Math. Med. Biol. 27, No. 2, 157--179 (2010; Zbl 1190.92015) Full Text: DOI Link OpenURL
Ledzewicz, Urszula; Schaettler, Heinz On an extension of a mathematical model for tumor anti-angiogenesis. (English) Zbl 1239.93073 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e2390-e2397 (2009). MSC: 93C95 35Q92 PDF BibTeX XML Cite \textit{U. Ledzewicz} and \textit{H. Schaettler}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e2390--e2397 (2009; Zbl 1239.93073) Full Text: DOI OpenURL
Ledzewicz, U.; Schaettler, H. Singular controls and chattering arcs in optimal control problems arising in biomedicine. (English) Zbl 1236.49054 Control Cybern. 38, No. 4, Part B, 1501-1523 (2009). MSC: 49K15 PDF BibTeX XML Cite \textit{U. Ledzewicz} and \textit{H. Schaettler}, Control Cybern. 38, No. 4, Part B, 1501--1523 (2009; Zbl 1236.49054) Full Text: EuDML Link OpenURL
d’Onofrio, Alberto; Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz On optimal delivery of combination therapy for tumors. (English) Zbl 1176.92033 Math. Biosci. 222, No. 1, 13-26 (2009). MSC: 92C50 49N90 49J15 PDF BibTeX XML Cite \textit{A. d'Onofrio} et al., Math. Biosci. 222, No. 1, 13--26 (2009; Zbl 1176.92033) Full Text: DOI OpenURL
Ledzewicz, Urszula; Munden, James; Schättler, Heinz Scheduling of angiogenic inhibitors for Gompertzian and logistic tumor growth models. (English) Zbl 1170.49003 Discrete Contin. Dyn. Syst., Ser. B 12, No. 2, 415-438 (2009). MSC: 49J15 93B50 92C50 49K30 92C37 PDF BibTeX XML Cite \textit{U. Ledzewicz} et al., Discrete Contin. Dyn. Syst., Ser. B 12, No. 2, 415--438 (2009; Zbl 1170.49003) Full Text: DOI OpenURL
Ledzewicz, Urszula; Schättler, Heinz On the optimality of singular controls for a class of mathematical models for tumor anti-angiogenesis. (English) Zbl 1161.49037 Discrete Contin. Dyn. Syst., Ser. B 11, No. 3, 691-715 (2009). MSC: 49N35 93B50 92C50 49K15 PDF BibTeX XML Cite \textit{U. Ledzewicz} and \textit{H. Schättler}, Discrete Contin. Dyn. Syst., Ser. B 11, No. 3, 691--715 (2009; Zbl 1161.49037) Full Text: DOI OpenURL
d’Onofrio, Alberto; Gandolfi, Alberto A family of models of angiogenesis and anti-angiogenesis anti-cancer therapy. (English) Zbl 1157.92024 Math. Med. Biol. 26, No. 1, 63-95 (2009). MSC: 92C50 34K20 34K18 34K60 PDF BibTeX XML Cite \textit{A. d'Onofrio} and \textit{A. Gandolfi}, Math. Med. Biol. 26, No. 1, 63--95 (2009; Zbl 1157.92024) Full Text: DOI OpenURL
Honstvet, Christopher A.; Jones, Pamela F. Targeting tumour vasculature as a cancer treatment. (English) Zbl 1120.92021 Comput. Math. Methods Med. 8, No. 1, 1-9 (2007). MSC: 92C50 93A30 PDF BibTeX XML Cite \textit{C. A. Honstvet} and \textit{P. F. Jones}, Comput. Math. Methods Med. 8, No. 1, 1--9 (2007; Zbl 1120.92021) Full Text: DOI EuDML OpenURL
Orme, M. E.; Chaplain, M. A. J. Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies. (English) Zbl 0894.92022 IMA J. Math. Appl. Med. Biol. 14, No. 3, 189-205 (1997). MSC: 92C50 35Q92 PDF BibTeX XML Cite \textit{M. E. Orme} and \textit{M. A. J. Chaplain}, IMA J. Math. Appl. Med. Biol. 14, No. 3, 189--205 (1997; Zbl 0894.92022) OpenURL