Papa, Federico; Borri, Alessandro; Palumbo, Pasquale Tumour growth control: analysis of alternative approaches. (English) Zbl 1508.92058 J. Theor. Biol. 562, Article ID 111420, 13 p. (2023). MSC: 92C32 92C50 PDFBibTeX XMLCite \textit{F. Papa} et al., J. Theor. Biol. 562, Article ID 111420, 13 p. (2023; Zbl 1508.92058) Full Text: DOI
Camacho, A.; Díaz-Ocampo, E.; Jerez, S. Optimal control for a bone metastasis with radiotherapy model using a linear objective functional. (English) Zbl 1519.92092 Math. Model. Nat. Phenom. 17, Paper No. 32, 17 p. (2022). MSC: 92C50 92C32 49J30 PDFBibTeX XMLCite \textit{A. Camacho} et al., Math. Model. Nat. Phenom. 17, Paper No. 32, 17 p. (2022; Zbl 1519.92092) Full Text: DOI
Tan, Poh Ling; Maurer, Helmut; Kanesan, Jeevan; Chuah, Joon Huang Optimal control of cancer chemotherapy with delays and state constraints. (English) Zbl 1495.92033 J. Optim. Theory Appl. 194, No. 3, 749-770 (2022). MSC: 92C50 49K05 49M25 PDFBibTeX XMLCite \textit{P. L. Tan} et al., J. Optim. Theory Appl. 194, No. 3, 749--770 (2022; Zbl 1495.92033) Full Text: DOI
Glick, Adam; Mastroberardino, Antonio Combined therapy for treating solid tumors with chemotherapy and angiogenic inhibitors. (English) Zbl 1466.92073 Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5281-5304 (2021). MSC: 92C50 34D20 PDFBibTeX XMLCite \textit{A. Glick} and \textit{A. Mastroberardino}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5281--5304 (2021; Zbl 1466.92073) Full Text: DOI
Ledzewicz, Urszula; Schättler, Heinz On the role of pharmacometrics in mathematical models for cancer treatments. (English) Zbl 1466.92077 Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 483-499 (2021). MSC: 92C50 92C45 49K15 PDFBibTeX XMLCite \textit{U. Ledzewicz} and \textit{H. Schättler}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 483--499 (2021; Zbl 1466.92077) Full Text: DOI
Leszczyński, Maciej; Ledzewicz, Urszula; Schättler, Heinz Optimal control for a mathematical model for chemotherapy with pharmacometrics. (English) Zbl 1467.92094 Math. Model. Nat. Phenom. 15, Paper No. 69, 23 p. (2020). MSC: 92C50 49K15 92C45 PDFBibTeX XMLCite \textit{M. Leszczyński} et al., Math. Model. Nat. Phenom. 15, Paper No. 69, 23 p. (2020; Zbl 1467.92094) Full Text: DOI
Ledzewicz, Urszula; Schättler, Heinz On the role of the objective in the optimization of compartmental models for biomedical therapies. (English) Zbl 1462.49078 J. Optim. Theory Appl. 187, No. 2, 305-335 (2020). MSC: 49S05 49K15 92C50 PDFBibTeX XMLCite \textit{U. Ledzewicz} and \textit{H. Schättler}, J. Optim. Theory Appl. 187, No. 2, 305--335 (2020; Zbl 1462.49078) Full Text: DOI
Rihan, F. A.; Lakshmanan, S.; Maurer, H. Optimal control of tumour-immune model with time-delay and immuno-chemotherapy. (English) Zbl 1428.92052 Appl. Math. Comput. 353, 147-165 (2019). MSC: 92C50 49N90 49M15 37N25 37N35 92-10 PDFBibTeX XMLCite \textit{F. A. Rihan} et al., Appl. Math. Comput. 353, 147--165 (2019; Zbl 1428.92052) Full Text: DOI
Owolabi, Kolade M.; Patidar, Kailash C.; Shikongo, Albert Numerical solution for a problem arising in angiogenic signalling. (English) Zbl 1427.92037 AIMS Math. 4, No. 1, 43-63 (2019). MSC: 92C32 92C15 35Q92 49J20 65N99 PDFBibTeX XMLCite \textit{K. M. Owolabi} et al., AIMS Math. 4, No. 1, 43--63 (2019; Zbl 1427.92037) Full Text: DOI
Foroozandeh, Z.; Shamsi, M.; de Pinho, M. d. R. A mixed-binary non-linear programming approach for the numerical solution of a family of singular optimal control problems. (English) Zbl 1418.49033 Int. J. Control 92, No. 7, 1551-1566 (2019). MSC: 49M25 90C30 PDFBibTeX XMLCite \textit{Z. Foroozandeh} et al., Int. J. Control 92, No. 7, 1551--1566 (2019; Zbl 1418.49033) Full Text: DOI Link
Grass, Dieter; Lykina, Valeriya Infinite horizon cancer treatment model with isoperimetrical constraint: existence of optimal solutions and numerical analysis. (English) Zbl 1420.92051 Int. J. Control 92, No. 6, 1401-1414 (2019). MSC: 92C50 49N90 PDFBibTeX XMLCite \textit{D. Grass} and \textit{V. Lykina}, Int. J. Control 92, No. 6, 1401--1414 (2019; Zbl 1420.92051) Full Text: DOI
Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz Optimal combined radio- and anti-angiogenic cancer therapy. (English) Zbl 1409.49036 J. Optim. Theory Appl. 180, No. 1, 321-340 (2019). MSC: 49S05 49K15 92C50 93A30 PDFBibTeX XMLCite \textit{U. Ledzewicz} et al., J. Optim. Theory Appl. 180, No. 1, 321--340 (2019; Zbl 1409.49036) Full Text: DOI
Rojas, Clara; Belmonte-Beitia, Juan Optimal control problems for differential equations applied to tumor growth: state of the art. (English) Zbl 1524.92033 Appl. Math. Nonlinear Sci. 3, No. 2, 375-402 (2018). MSC: 92C32 92C50 49J15 49J30 PDFBibTeX XMLCite \textit{C. Rojas} and \textit{J. Belmonte-Beitia}, Appl. Math. Nonlinear Sci. 3, No. 2, 375--402 (2018; Zbl 1524.92033) Full Text: DOI
Lykina, Valeriya Existence theorem for infinite horizon optimal control problems with mixed control-state isoperimetrical constraint. (English) Zbl 1443.49014 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 11th international conference, LSSC 2017, Sozopol, Bulgaria, June 5–9, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10665, 228-236 (2018). MSC: 49J27 PDFBibTeX XMLCite \textit{V. Lykina}, Lect. Notes Comput. Sci. 10665, 228--236 (2018; Zbl 1443.49014) Full Text: DOI
Foroozandeh, Z.; Shamsi, M.; Do Rosário De Pinho, Maria A hybrid direct-indirect approach for solving the singular optimal control problems of finite and infinite order. (English) Zbl 1397.49041 Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1545-1554 (2018). MSC: 49M20 49M25 PDFBibTeX XMLCite \textit{Z. Foroozandeh} et al., Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1545--1554 (2018; Zbl 1397.49041) Full Text: DOI
Pouchol, Camille; Clairambault, Jean; Lorz, Alexander; Trélat, Emmanuel Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy. (English. French summary) Zbl 1393.35263 J. Math. Pures Appl. (9) 116, 268-308 (2018). Reviewer: Leonid Berezanski (Beer-Sheva) MSC: 35R09 49J20 92C50 93D20 PDFBibTeX XMLCite \textit{C. Pouchol} et al., J. Math. Pures Appl. (9) 116, 268--308 (2018; Zbl 1393.35263) Full Text: DOI arXiv Link
Lykina, Valeriya; Pickenhain, Sabine Pontryagin type maximum principle for budget-constrained infinite horizon optimal control problems with linear dynamics. (English) Zbl 1376.49032 J. Math. Anal. Appl. 457, No. 2, 1591-1612 (2018). MSC: 49K27 PDFBibTeX XMLCite \textit{V. Lykina} and \textit{S. Pickenhain}, J. Math. Anal. Appl. 457, No. 2, 1591--1612 (2018; Zbl 1376.49032) Full Text: DOI
Rojas Rodríguez, Clara; Fernández Calvo, Gabriel; Ramis-Conde, Ignacio; Belmonte-Beitia, Juan Stochastic modelling of slow-progressing tumors: analysis and applications to the cell interplay and control of low grade gliomas. (English) Zbl 1510.92103 Commun. Nonlinear Sci. Numer. Simul. 49, 63-80 (2017). MSC: 92C50 92C17 PDFBibTeX XMLCite \textit{C. Rojas Rodríguez} et al., Commun. Nonlinear Sci. Numer. Simul. 49, 63--80 (2017; Zbl 1510.92103) Full Text: DOI Link
Ibañez, Aitziber Optimal control of the Lotka-Volterra system: turnpike property and numerical simulations. (English) Zbl 1448.92200 J. Biol. Dyn. 11, No. 1, 25-41 (2017). MSC: 92D25 49J15 PDFBibTeX XMLCite \textit{A. Ibañez}, J. Biol. Dyn. 11, No. 1, 25--41 (2017; Zbl 1448.92200) Full Text: DOI
Rojas Rodríguez, Clara; Belmonte-Beitia, Juan Optimizing the delivery of combination therapy for tumors: a mathematical model. (English) Zbl 1361.92037 Int. J. Biomath. 10, No. 3, Article ID 1750039, 16 p. (2017). MSC: 92C50 49J15 49N90 PDFBibTeX XMLCite \textit{C. Rojas Rodríguez} and \textit{J. Belmonte-Beitia}, Int. J. Biomath. 10, No. 3, Article ID 1750039, 16 p. (2017; Zbl 1361.92037) Full Text: DOI
Klamka, Jerzy; Maurer, Helmut; Swierniak, Andrzej Local controllability and optimal control for a model of combined anticancer therapy with control delays. (English) Zbl 1351.93018 Math. Biosci. Eng. 14, No. 1, 195-216 (2017). MSC: 93B05 49N90 49J15 49K15 49M25 49M37 93C15 90C30 92C50 65K05 65K10 37N25 PDFBibTeX XMLCite \textit{J. Klamka} et al., Math. Biosci. Eng. 14, No. 1, 195--216 (2017; Zbl 1351.93018) Full Text: DOI
Rojas, Clara; Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Maurer, Helmut Dynamics and optimal control of chemotherapy for low grade gliomas: insights from a mathematical model. (English) Zbl 1351.49051 Discrete Contin. Dyn. Syst., Ser. B 21, No. 6, 1895-1915 (2016). Reviewer: Chao Min (Chengdu) MSC: 49N90 49K40 49K15 49J30 49K30 49M37 90C30 92C50 PDFBibTeX XMLCite \textit{C. Rojas} et al., Discrete Contin. Dyn. Syst., Ser. B 21, No. 6, 1895--1915 (2016; Zbl 1351.49051) Full Text: DOI
Fernández, Luis A.; Pola, Cecilia Catalog of the optimal controls in cancer chemotherapy for the Gompertz model depending on PK/PD and the integral constraint. (English) Zbl 1302.93122 Discrete Contin. Dyn. Syst., Ser. B 19, No. 6, 1563-1588 (2014). MSC: 93C15 49K15 49M05 49M37 92C50 PDFBibTeX XMLCite \textit{L. A. Fernández} and \textit{C. Pola}, Discrete Contin. Dyn. Syst., Ser. B 19, No. 6, 1563--1588 (2014; Zbl 1302.93122) Full Text: DOI
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 PDFBibTeX XMLCite \textit{C. Y. Kaya} and \textit{H. Maurer}, Comput. Optim. Appl. 57, No. 3, 685--702 (2014; Zbl 1301.49082) Full Text: DOI Link
Billy, Frédérique; Clairambault, Jean; Fercoq, Olivier Optimisation of cancer drug treatments using cell population dynamics. (English) Zbl 1345.92074 Ledzewicz, Urszula (ed.) et al., Mathematical methods and models in biomedicine. New York, NY: Springer (ISBN 978-1-4614-4177-9/pbk; 978-1-4614-4178-6/ebook). Lecture Notes on Mathematical Modelling in the Life Sciences, 265-309 (2013). MSC: 92C50 92C37 PDFBibTeX XMLCite \textit{F. Billy} et al., in: Mathematical methods and models in biomedicine. New York, NY: Springer. 265--309 (2013; Zbl 1345.92074) Full Text: DOI HAL
André, N.; Barbolosi, D.; Billy, F.; Chapuisat, G.; Hubert, F.; Grenier, E.; Rovini, A. Mathematical model of cancer growth controled by metronomic chemotherapies. (English. French summary) Zbl 1336.92035 ESAIM, Proc. 41, 77-94 (2013). MSC: 92C50 PDFBibTeX XMLCite \textit{N. André} et al., ESAIM, Proc. 41, 77--94 (2013; Zbl 1336.92035) Full Text: DOI
Felgenhauer, U. Structural stability investigation of bang-singular-bang optimal controls. (English) Zbl 1237.49033 J. Optim. Theory Appl. 152, No. 3, 605-631 (2012). MSC: 49K40 49J30 PDFBibTeX XMLCite \textit{U. Felgenhauer}, J. Optim. Theory Appl. 152, No. 3, 605--631 (2012; Zbl 1237.49033) Full Text: DOI