Alaraifi, Surour; Moussa, Kaouther; Djouadi, Seddik Chemo and immunotherapy effects on stability regions of tumor models. (English) Zbl 07963812 Math. Comput. Simul. 223, 20-33 (2024). MSC: 92-XX 91-XX × Cite Format Result Cite Review PDF Full Text: DOI
Kao, Chiu-Yen; Mohammadi, Seyyed Abbas; Yousefnezhad, Mohsen Is maximum tolerated dose (MTD) chemotherapy scheduling optimal for glioblastoma multiforme? (English) Zbl 1544.92080 Commun. Nonlinear Sci. Numer. Simul. 139, Article ID 108292, 21 p. (2024). MSC: 92C50 49J20 49J30 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Cherfils, Laurence; Gatti, Stefania; Miranville, Alain; Raad, Hussein; Guillevin, Rémy Optimal control of therapies on a tumor growth model with brain lactate kinetics. (English) Zbl 1542.92057 Discrete Contin. Dyn. Syst., Ser. S 17, No. 7, 2298-2322 (2024). MSC: 92C50 35Q92 35K51 35K58 49J20 49K20 × Cite Format Result Cite Review PDF Full Text: DOI
Ajayi, Temitayo; Hosseinian, Seyedmohammadhossein; Schaefer, Andrew J.; Fuller, Clifton D. Combination chemotherapy optimization with discrete dosing. (English) Zbl 07888772 INFORMS J. Comput. 36, No. 2, 434-455 (2024). MSC: 90Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arda, Yasemin; Cattaruzza, Diego; François, Véronique; Ogier, Maxime Home chemotherapy delivery: an integrated production scheduling and multi-trip vehicle routing problem. (English) Zbl 07881401 Eur. J. Oper. Res. 317, No. 2, 468-486 (2024). MSC: 90Bxx × Cite Format Result Cite Review PDF Full Text: DOI HAL
Arora, Garhima; Bairagi, Nandadulal; Chatterjee, Samrat A mathematical model to study low-dose metronomic scheduling for chemotherapy. (English) Zbl 1545.92046 Math. Biosci. 372, Article ID 109186, 15 p. (2024). MSC: 92C50 34A37 × Cite Format Result Cite Review PDF Full Text: DOI
Sinha, Sweta; Singh, Paramjeet Optimal control for biphasic chemotaxis model of tumour growth under chemotherapy. (English) Zbl 1544.92047 Acta Appl. Math. 191, Paper No. 13, 32 p. (2024). MSC: 92C32 92C17 92C50 35M13 49K15 49K30 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Arjun; Dubey, Uma S.; Dubey, Balram The impact of radio-chemotherapy on tumour cells interaction with optimal control and sensitivity analysis. (English) Zbl 1539.92066 Math. Biosci. 369, Article ID 109146, 24 p. (2024). MSC: 92C50 34C23 35B32 49J15 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Ledzewicz, Urszula; Schättler, Heinz On the optimal control problem for a model of the synergy of chemo- and immunotherapy. (English) Zbl 07831205 Optim. Control Appl. Methods 45, No. 2, 575-593 (2024). MSC: 93-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz Bang-bang optimal controls for a mathematical model of chemo- and immunotherapy in cancer. (English) Zbl 1534.92035 Discrete Contin. Dyn. Syst., Ser. B 29, No. 3, 1481-1500 (2024). MSC: 92C50 49K15 49K30 × Cite Format Result Cite Review PDF Full Text: DOI
Bouchnita, Anass; Volpert, Vitaly Phenotype-structured model of intra-clonal heterogeneity and drug resistance in multiple myeloma. (English) Zbl 1532.92021 J. Theor. Biol. 576, Article ID 111652, 8 p. (2024). MSC: 92C32 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jingnan; Xu, Li Optimal control of tumor-lymphatic model with immuno-chemotherapy. (English) Zbl 07921160 J. Appl. Anal. Comput. 13, No. 5, 2703-2719 (2023). MSC: 34H05 92B05 × Cite Format Result Cite Review PDF Full Text: DOI
Sengupta, Anirban; Das, Dushmanta Kumar Adaptive boundary layer double integral sliding mode controller design for leukemia therapy. (English) Zbl 1543.93278 Int. J. Adapt. Control Signal Process. 37, No. 11, 2796-2811 (2023). MSC: 93C95 93D21 92C50 93B12 93C40 × Cite Format Result Cite Review PDF Full Text: DOI
Bartłomiejczyk, Agnieszka; Bodnar, Marek; Bogdańska, Magdalena U.; Piotrowska, Monika J. Travelling waves for low-grade glioma growth and response to a chemotherapy model. (English) Zbl 1536.92027 Int. J. Appl. Math. Comput. Sci. 33, No. 4, 569-581 (2023). MSC: 92C32 92C50 35K57 35C07 × Cite Format Result Cite Review PDF Full Text: DOI
Pei, Yongzhen; Lv, Yunfei; Li, Changguo; Fang, Dandan Optimization therapy by coupling intermittent androgen suppression with impulsive chemotherapy for a prostate cancer model. (English) Zbl 1530.92097 Bull. Math. Biol. 85, No. 12, Paper No. 123, 26 p. (2023). MSC: 92C50 93C27 49J20 × Cite Format Result Cite Review PDF Full Text: DOI
Abdullah, Rawan; Halanay, Andrei; Amin, Karim; Mghames, Ragheb Partial stability in a model for allergic reactions induced by chemotherapy of acute lymphoblastic leukemia. (English) Zbl 1538.34328 Ann. Acad. Rom. Sci., Math. Appl. 15, No. 1-2, 443-472 (2023). MSC: 34K60 34K20 34K12 34K25 92C37 92C50 34K21 × Cite Format Result Cite Review PDF Full Text: DOI
Cataldo, Alejandro; Sufan, Sebastián; Lorca, Álvaro; Andresen, Max; Sánchez, César; Sauré, Antoine Multi-stage process for chemotherapy scheduling and effective capacity determination. (English) Zbl 07744642 Int. Trans. Oper. Res. 30, No. 1, 151-180 (2023). MSC: 90-XX × Cite Format Result Cite Review PDF Full Text: DOI
Abukwaik, Roba; Vera-Siguenza, Elias; Tennant, Daniel A.; Spill, Fabian Interplay of p53 and XIAP protein dynamics orchestrates cell fate in response to chemotherapy. (English) Zbl 1521.92056 J. Theor. Biol. 572, Article ID 111562, 17 p. (2023). MSC: 92C50 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Sowndarrajan, P. T. Existence and optimal control analysis of acid-mediated tumor invasion model. (English) Zbl 1538.35400 Adv. Differ. Equ. Control Process. 30, No. 1, 53-72 (2023). MSC: 35Q92 35K57 49J20 92D99 35K51 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Xiang; Lin, Jinxing; Zhang, Kanjian; Cheng, Ming Sensitivity analysis for the optimization of switched dynamical processes with state-dependent switching conditions and its application. (English) Zbl 1524.90233 J. Ind. Manag. Optim. 19, No. 10, 7306-7333 (2023). MSC: 90C11 34K34 90C39 92C17 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Bashkirtseva, Irina; Chukhareva, Anna; Ryashko, Lev Stochastic dynamics of nonlinear tumor-immune system with chemotherapy. (English) Zbl 07695475 Physica A 622, Article ID 128835, 12 p. (2023). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Burbanks, Andrew; Cerasuolo, Marianna; Ronca, Roberto; Turner, Leo A hybrid spatiotemporal model of PCa dynamics and insights into optimal therapeutic strategies. (English) Zbl 1506.92047 Math. Biosci. 355, Article ID 108940, 17 p. (2023). MSC: 92C50 37B15 92C45 35Q91 × Cite Format Result Cite Review PDF Full Text: DOI
Dhieb, Najmeddine; Abdulrashid, Ismail; Ghazzai, Hakim; Massoud, Yehia Optimized drug regimen and chemotherapy scheduling for cancer treatment using swarm intelligence. (English) Zbl 1506.92048 Ann. Oper. Res. 320, No. 2, 757-770 (2023). MSC: 92C50 49J15 × Cite Format Result Cite Review PDF Full Text: DOI
Karakaya, Sırma; Gul, Serhat; Çelik, Melih Stochastic scheduling of chemotherapy appointments considering patient acuity levels. (English) Zbl 1541.90157 Eur. J. Oper. Res. 305, No. 2, 902-916 (2023). MSC: 90B35 90C11 90C15 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Haiying; Yang, Hongli; Yang, Liangui Chemotherapy effect on the steady-state solution of the mathematical model of cancer cells. (Chinese. English summary) Zbl 1549.34146 Acta Math. Appl. Sin. 45, No. 3, 448-460 (2022). MSC: 34C60 92C37 34C05 34D23 × Cite Format Result Cite Review PDF Full Text: Link
Bashkirtseva, Irina; Chukhareva, Anna; Ryashko, Lev Modeling and analysis of nonlinear tumor-immune interaction under chemotherapy and radiotherapy. (English) Zbl 1530.92083 Math. Methods Appl. Sci. 45, No. 13, 7983-7991 (2022). MSC: 92C50 92-10 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández, Luis A.; Pola, Cecilia; Sáinz-Pardo, Judith A mathematical justification for metronomic chemotherapy in oncology. (English) Zbl 1514.92040 Math. Model. Nat. Phenom. 17, Paper No. 12, 18 p. (2022). MSC: 92C50 92C45 90C11 90C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yilmaz, Defne; Tuzer, Mert; Unlu, Mehmet Burcin Assessing the therapeutic response of tumors to hypoxia-targeted prodrugs with an in silico approach. (English) Zbl 1510.92108 Math. Biosci. Eng. 19, No. 11, 10941-10962 (2022). MSC: 92C50 92C37 35Q92 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Lima, Ernesto A. B. F.; Wyde, Reid A. F.; Sorace, Anna G.; Yankeelov, Thomas E. Optimizing combination therapy in a murine model of HER2+ breast cancer. (English) Zbl 1507.92026 Comput. Methods Appl. Mech. Eng. 402, Article ID 115484, 21 p. (2022). MSC: 92C37 49K15 49N90 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Hadjicharalambous, Myrianthi; Ioannou, Eleftherios; Aristokleous, Nicolas; Gazeli, Kristaq; Anastassiou, Charalambos; Vavourakis, Vasileios Combined anti-angiogenic and cytotoxic treatment of a solid tumour: in silico investigation of a xenograft animal model’s digital twin. (English) Zbl 07614375 J. Theor. Biol. 553, Article ID 111246, 14 p. (2022). MSC: 92-XX × Cite Format Result Cite Review PDF Full Text: DOI
Nanditha, C. K.; Rajan, M. P. An adaptive pharmacokinetic optimal control approach in chemotherapy for heterogeneous tumor. (English) Zbl 1503.92042 J. Biol. Syst. 30, No. 3, 529-551 (2022). MSC: 92C50 92C45 49J15 × Cite Format Result Cite Review PDF Full Text: DOI
Abdulrashid, Ismail; Caraballo, Tomás; Han, Xiaoying Effects of delays in mathematical models of cancer chemotherapy. (English) Zbl 1496.92031 Pure Appl. Funct. Anal. 7, No. 4, 1103-1126 (2022). MSC: 92C50 34D23 34D45 34K20 × Cite Format Result Cite Review PDF Full Text: Link
Rajan, M. P.; Nanditha, C. K. A multi-drug pharmacokinectic optimal control approach in cancer chemotherapy. (English) Zbl 1500.92042 J. Optim. Theory Appl. 195, No. 1, 314-333 (2022). MSC: 92C50 92C45 49J15 × Cite Format Result Cite Review PDF Full Text: DOI
Zouhri, Samira; El Baroudi, Mohcine; Saadi, Smahane Optimal control with isoperimetric constraint for chemotherapy of tumors. (English) Zbl 1498.92103 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 215, 14 p. (2022). MSC: 92C50 49J15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zhibo; Li, Sheng; Si, Peng; Li, Xuefang; He, Xiongxiong A tumor-immune model with mixed immunotherapy and chemotherapy: qualitative analysis and optimal control. (English) Zbl 1493.92031 J. Biol. Syst. 30, No. 2, 339-364 (2022). MSC: 92C50 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Mingzhan; Liu, Shouzong; Song, Xinyu; Zou, Xiufen Control strategies for a tumor-immune system with impulsive drug delivery under a random environment. (English) Zbl 1513.92032 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1141-1159 (2022). MSC: 92C50 34A37 60H30 × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Feng; Liu, Bin Optimal control problem for a general reaction-diffusion tumor-immune interaction system of mixed immunotherapy and chemotherapy. (English) Zbl 1493.92026 Eur. J. Control 66, Article ID 100645, 15 p. (2022). MSC: 92C50 35K57 35K58 49J20 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Yu-Li; Sikder, Ishtiak; Xu, Guanglin Optimal override policy for chemotherapy scheduling template via mixed-integer linear programming. (English) Zbl 1492.90092 Optim. Lett. 16, No. 5, 1549-1562 (2022). MSC: 90C11 90B35 90C90 × Cite Format Result Cite Review PDF Full Text: DOI
Ledzewicz, Urszula; Schättler, Heinz The structure of optimal protocols for a mathematical model of chemotherapy with antiangiogenic effects. (English) Zbl 1486.92084 SIAM J. Control Optim. 60, No. 2, 1092-1116 (2022). MSC: 92C50 49K15 × Cite Format Result Cite Review PDF Full Text: DOI
Biswas, Tania; Rocca, Elisabetta Long time dynamics of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects. (English) Zbl 1496.35394 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2455-2469 (2022). Reviewer: Catalin Popa (Iaşi) MSC: 35Q92 92C50 92C37 92C35 35K58 35K51 35B41 37L30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elkaranshawy, Hesham A.; Makhlouf, Ahmed M. Parameter estimation and sensitivity analysis for a model of tumor-immune interaction in the presence of immunotherapy and chemotherapy. (English) Zbl 1486.92082 J. Egypt. Math. Soc. 30, Paper No. 8, 16 p. (2022). MSC: 92C50 92-10 × Cite Format Result Cite Review PDF Full Text: DOI
Roy, Souvik; Pan, Zui; Pal, Suvra A Fokker-Planck feedback control framework for optimal personalized therapies in colon cancer-induced angiogenesis. (English) Zbl 1496.35399 J. Math. Biol. 84, No. 4, Paper No. 23, 32 p. (2022). MSC: 35Q92 35Q84 92C37 92C50 92C35 92C40 93B52 35R30 49J20 49K20 49M41 62D99 65M06 65K10 82C31 92-08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Das, Anusmita; Sarmah, Hemanta Kr.; Bhattacharya, Debashish; Dehingia, Kaushik; Hosseini, Kamyar Combination of virotherapy and chemotherapy with optimal control for combating cancer. (English) Zbl 1540.92019 Math. Comput. Simul. 194, 460-488 (2022). MSC: 92-10 92C50 34C60 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Becker, Sid; Kuznetsov, Andrey V.; Zhao, Dan; de Monte, Filippo; Pontrelli, Giuseppe Model of drug delivery to populations composed of two cell types. (English) Zbl 1480.92093 J. Theor. Biol. 534, Article ID 110947, 10 p. (2022). MSC: 92C45 92C37 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Demir, Nur Banu; Gul, Serhat; Çelik, Melih A stochastic programming approach for chemotherapy appointment scheduling. (English) Zbl 1523.90231 Nav. Res. Logist. 68, No. 1, 112-133 (2021). MSC: 90B36 90C15 90C11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dehingia, Kaushik; Sarmah, Hemanta Kumar; Hosseini, Kamyar; Sadri, Khadijeh; Salahshour, Soheil; Park, Choonkil An optimal control problem of immuno-chemotherapy in presence of gene therapy. (English) Zbl 1525.92028 AIMS Math. 6, No. 10, 11530-11549 (2021). MSC: 92C50 37N25 49N90 34C60 49K15 × Cite Format Result Cite Review PDF Full Text: DOI
Duan, Wei-Long; Lin, Ling Noise and delay enhanced stability in tumor-immune responses to chemotherapy system. (English) Zbl 1485.92049 Chaos Solitons Fractals 148, Article ID 111019, 15 p. (2021). MSC: 92C50 60H10 34K50 34K20 34K60 × Cite Format Result Cite Review PDF Full Text: DOI
Das, Parthasakha; Das, Samhita; Das, Pritha; Rihan, Fathalla A.; Uzuntarla, Muhammet; Ghosh, Dibakar Optimal control strategy for cancer remission using combinatorial therapy: a mathematical model-based approach. (English) Zbl 1498.49071 Chaos Solitons Fractals 145, Article ID 110789, 15 p. (2021). MSC: 49N90 34C60 49K15 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Darandis, N.; Nazari, M. A new mathematical modeling and sub-optimal chemotherapy of cancer. (English) Zbl 1478.92078 J. Biol. Syst. 29, No. 3, 647-685 (2021). MSC: 92C50 49J15 × Cite Format Result Cite Review PDF Full Text: DOI
Trobia, José; Tian, Kun; Batista, Antonio M.; Grebogi, Celso; Ren, Hai-Peng; Santos, Moises S.; Protachevicz, Paulo R.; Borges, Fernando S.; Szezech, José D.; Viana, Ricardo L.; Caldas, Iberê L.; Iarosz, Kelly C. Mathematical model of brain tumour growth with drug resistance. (English) Zbl 1475.92090 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106013, 10 p. (2021). MSC: 92C50 92C32 92C20 34C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colli, Pierluigi; Gomez, Hector; Lorenzo, Guillermo; Marinoschi, Gabriela; Reali, Alessandro; Rocca, Elisabetta Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth. (English) Zbl 1473.92021 Math. Models Methods Appl. Sci. 31, No. 7, 1419-1468 (2021). MSC: 92C50 35Q92 35Q93 65M60 49K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Valle, Paul A.; Coria, Luis N.; Carballo, Karla D. Chemoimmunotherapy for the treatment of prostate cancer: insights from mathematical modelling. (English) Zbl 1481.92073 Appl. Math. Modelling 90, 682-702 (2021). MSC: 92C50 34C60 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Qingfeng; Zhang, Guohong Stability and Hopf bifurcations in a competitive tumour-immune system with intrinsic recruitment delay and chemotherapy. (English) Zbl 1471.92106 Math. Biosci. Eng. 18, No. 3, 1941-1965 (2021). MSC: 92C32 92C50 34D20 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Dénes, Attila; Marzban, Sadegh; Röst, Gergely Global analysis of a cancer model with drug resistance due to Lamarckian induction and microvesicle transfer. (English) Zbl 1470.92135 J. Theor. Biol. 527, Article ID 110812, 13 p. (2021). MSC: 92C50 34D23 92-10 × Cite Format Result Cite Review PDF Full Text: DOI
Sabir, Soukaina; Raissi, Nadia; Serhani, Mustapha Multiobjective approach in the treatment of cancer. (English) Zbl 1469.92065 Math. Model. Nat. Phenom. 16, Paper No. 4, 13 p. (2021). MSC: 92C50 49J15 49M25 90C29 × Cite Format Result Cite Review PDF Full Text: DOI
Sharpe, Samara; Dobrovolny, Hana M. Predicting the effectiveness of chemotherapy using stochastic ODE models of tumor growth. (English) Zbl 1467.92099 Commun. Nonlinear Sci. Numer. Simul. 101, Article ID 105883, 10 p. (2021). MSC: 92C50 60H10 × Cite Format Result Cite Review PDF Full Text: DOI
Yousefnezhad, Mohsen; Kao, Chiu-Yen; Mohammadi, Seyyed Abbas Optimal chemotherapy for brain tumor growth in a reaction-diffusion model. (English) Zbl 1472.92098 SIAM J. Appl. Math. 81, No. 3, 1077-1097 (2021). MSC: 92C37 35Q92 35K57 49J20 49M05 92C40 × Cite Format Result Cite Review PDF Full Text: DOI
Xiao, Qian; Xu, Hongquan A mapping-based universal kriging model for order-of-addition experiments in drug combination studies. (English) Zbl 1510.62460 Comput. Stat. Data Anal. 157, Article ID 107155, 12 p. (2021). MSC: 62P10 60G15 62K20 62L05 × Cite Format Result Cite Review PDF Full Text: DOI
Villa, Chiara; Chaplain, Mark A. J.; Lorenzi, Tommaso Evolutionary dynamics in vascularised tumours under chemotherapy: mathematical modelling, asymptotic analysis and numerical simulations. (English) Zbl 1464.35381 Vietnam J. Math. 49, No. 1, 143-167 (2021). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 92C50 92D25 35K55 35B40 35R09 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Feng; Liu, Bin Optimal control problem for a general reaction-diffusion tumor-immune system with chemotherapy. (English) Zbl 1455.92071 J. Franklin Inst. 358, No. 1, 448-473 (2021). MSC: 92C50 49J20 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Bukkuri, Anuraag Optimal control analysis of combined chemotherapy-immunotherapy treatment regimens in a PKPD cancer evolution model. (English) Zbl 1505.92094 Biomath 9, No. 1, Article ID 2002137, 12 p. (2020). MSC: 92C50 49J15 × Cite Format Result Cite Review PDF Full Text: DOI
Duan, Wei-Long The stability analysis of tumor-immune responses to chemotherapy system driven by Gaussian colored noises. (English) Zbl 1496.92033 Chaos Solitons Fractals 141, Article ID 110303, 10 p. (2020). MSC: 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Sweilam, N. H.; AL-Mekhlafi, S. M.; Alshomrani, A. S.; Baleanu, D. Comparative study for optimal control nonlinear variable-order fractional tumor model. (English) Zbl 1489.92072 Chaos Solitons Fractals 136, Article ID 109810, 12 p. (2020). MSC: 92C50 92C37 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Carrère, Cécile; Zidani, Hasnaa Stability and reachability analysis for a controlled heterogeneous population of cells. (English) Zbl 1469.92045 Optim. Control Appl. Methods 41, No. 5, 1678-1704 (2020). MSC: 92C37 92D25 93D05 93B03 × Cite Format Result Cite Review PDF Full Text: DOI HAL
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 × Cite Format Result Cite Review PDF Full Text: DOI
Cho, Heyrim; Levy, Doron The impact of competition between cancer cells and healthy cells on optimal drug delivery. (English) Zbl 1473.35591 Math. Model. Nat. Phenom. 15, Paper No. 42, 28 p. (2020). MSC: 35Q92 92C17 92C37 92C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stace, Rebecca E. A.; Stiehl, Thomas; Chaplain, Mark A. J.; Marciniak-Czochra, Anna; Lorenzi, Tommaso Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy. (English) Zbl 1467.92101 Math. Model. Nat. Phenom. 15, Paper No. 14, 22 p. (2020). MSC: 92C50 92C32 92C37 35Q92 35K99 × Cite Format Result Cite Review PDF Full Text: DOI
Bajger, Piotr; Bodzioch, Mariusz; Foryś, Urszula Numerical optimisation of chemotherapy dosage under antiangiogenic treatment in the presence of drug resistance. (English) Zbl 1464.92121 Math. Methods Appl. Sci. 43, No. 18, 10671-10689 (2020). MSC: 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Singha, Neelam Implementation of fractional optimal control problems in real-world applications. (English) Zbl 1488.92003 Fract. Calc. Appl. Anal. 23, No. 6, 1783-1796 (2020). MSC: 92-10 65L99 33E12 34A08 49K15 49N90 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Hesaraki, Alireza F.; Dellaert, Nico P.; de Kok, Ton Integrating nurse assignment in outpatient chemotherapy appointment scheduling. (English) Zbl 1454.90019 OR Spectrum 42, No. 4, 935-963 (2020). MSC: 90B35 90C29 90C11 90C59 × Cite Format Result Cite Review PDF Full Text: DOI
Ferreira, J. A.; De Oliveira, Paula; Silveira, Elisa Drug release from thermosensitive polymeric platforms – towards non Fickian models. (English) Zbl 1453.92132 Pinelas, Sandra (ed.) et al., Differential and difference equations with applications. Selected papers based on the presentations at the fourth international conference, ICDDEA 2019, Lisbon, Portugal, July 1–5, 2019. Cham: Springer. Springer Proc. Math. Stat. 333, 441-453 (2020). MSC: 92C50 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Cassidy, Tyler; Humphries, Antony R.; Craig, Morgan; Mackey, Michael C. Characterizing chemotherapy-induced neutropenia and monocytopenia through mathematical modelling. (English) Zbl 1448.92096 Bull. Math. Biol. 82, No. 8, Paper No. 104, 26 p. (2020). MSC: 92C50 92C37 92C45 × Cite Format Result Cite Review PDF Full Text: DOI DOI
Xu, Changjin; Li, Peiluan; Liao, Maoxin; Yuan, Shuai Bifurcation analysis for a fractional-order chemotherapy model with two different delays. (English) Zbl 1450.34062 Math. Methods Appl. Sci. 43, No. 3, 1053-1083 (2020). MSC: 34K60 92C37 34K37 34K18 34K21 34K20 34K13 × Cite Format Result Cite Review PDF Full Text: DOI
Bassey, B. Echeng Dynamic optimal control for multi-chemotherapy treatment of dual listeriosis infection in human and animal population. (English) Zbl 1448.92121 Appl. Appl. Math. 15, No. 1, 192-225 (2020). Reviewer: Fatima T. Adylova (Tashkent) MSC: 92C60 92C50 49J15 × Cite Format Result Cite Review PDF Full Text: Link
Grass, Dieter; Lykina, Valeriya Optimal control problem of a metronomic chemotherapy. (English) Zbl 07223009 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 12th international conference, LSSC 2019, Sozopol, Bulgaria, June 10–14, 2019. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11958, 40-47 (2020). MSC: 65-XX 49-XX 92-XX × Cite Format Result Cite Review PDF Full Text: DOI
Sabir, Soukaina; Raissi, Nadia; Serhani, Mustapha Chemotherapy and immunotherapy for tumors: a study of quadratic optimal control. (English) Zbl 1444.92046 Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 81, 13 p. (2020). MSC: 92C50 49N10 × Cite Format Result Cite Review PDF Full Text: DOI
Abdulrashid, Ismail; Han, Xiaoying A mathematical model of chemotherapy with variable infusion. (English) Zbl 1441.34053 Commun. Pure Appl. Anal. 19, No. 4, 1875-1890 (2020). MSC: 34C60 37C60 34D05 34D45 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Urenda-Cázares, E.; Gallegos, A.; Macías-Díaz, J. E. A mathematical model that combines chemotherapy and oncolytic virotherapy as an alternative treatment against a glioma. (English) Zbl 1432.92048 J. Math. Chem. 58, No. 3, 544-554 (2020). MSC: 92C50 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Thuy T. T.; Jost, Felix; Raupach, Thomas; Zierk, Jakob; Rauh, Manfred; Suttorp, Meinolf; Stanulla, Martin; Metzler, Markus; Sager, Sebastian A mathematical model of white blood cell dynamics during maintenance therapy of childhood acute lymphoblastic leukemia. (English) Zbl 1501.92050 Math. Med. Biol. 36, No. 4, 471-488 (2019). MSC: 92C50 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Olabode, Damilola; Rong, Libin; Wang, Xueying Optimal control in HIV chemotherapy with termination viral load and latent reservoir. (English) Zbl 1497.92127 Math. Biosci. Eng. 16, No. 2, 619-635 (2019). MSC: 92C50 49J15 49K15 × Cite Format Result Cite Review PDF Full Text: DOI
Ledzewicz, Urszula; Schaettler, Heinz On the role of pharmacometrics and the objective in optimizing cancer therapies. (English) Zbl 1478.92083 Rev. Invest. Oper. 40, No. 1, 3-15 (2019). MSC: 92C50 49N90 × Cite Format Result Cite Review PDF Full Text: Link
Elliott, Samantha L.; Kose, Emek; Lewis, Allison L.; Steinfeld, Anna E.; Zollinger, Elizabeth A. Modeling the stem cell hypothesis: investigating the effects of cancer stem cells and TGF \(- \beta\) on tumor growth. (English) Zbl 1470.92072 Math. Biosci. Eng. 16, No. 6, 7177-7194 (2019). MSC: 92C32 92C15 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Hongli; Lei, Jinzhi A mathematical model of chromosome recombination-induced drug resistance in cancer therapy. (English) Zbl 1470.92158 Math. Biosci. Eng. 16, No. 6, 7098-7111 (2019). MSC: 92C50 34K60 92D10 × Cite Format Result Cite Review PDF Full Text: DOI
López, Álvaro G.; Iarosz, Kelly C.; Batista, Antonio M.; Seoane, Jesús M.; Viana, Ricardo L.; Sanjuán, Miguel A. F. The role of dose density in combination cancer chemotherapy. (English) Zbl 1508.92104 Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104918, 13 p. (2019). MSC: 92C50 92C45 92-08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sabir, S.; Raissi, N. Analysis of tumor/effector cell dynamics and decision support in therapy. (English) Zbl 1430.92040 Mondaini, Rubem P. (ed.), Trends in biomathematics: mathematical modeling for health, harvesting, and population dynamics. Selected works presented at the 18th BIOMAT consortium lectures, Mohammedia, Morocco, October 29 – November 2, 2018. Cham: Springer. 153-164 (2019). MSC: 92C50 92C37 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Rodrigues, D. S.; Mancera, P. F. A.; Carvalho, T.; Gonçalves, L. F. A mathematical model for chemoimmunotherapy of chronic lymphocytic leukemia. (English) Zbl 1428.92053 Appl. Math. Comput. 349, 118-133 (2019). MSC: 92C50 37N25 92B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Babaei, Naser; Salamci, Metin U. Mixed therapy in cancer treatment for personalized drug administration using model reference adaptive control. (English) Zbl 1425.92104 Eur. J. Control 50, 117-137 (2019). MSC: 92C50 93C40 93C15 × Cite Format Result Cite Review PDF Full Text: DOI
Ledzewicz, Urszula; Schättler, Heinz; Wang, Shuo On the role of tumor heterogeneity for optimal cancer chemotherapy. (English) Zbl 1425.92113 Netw. Heterog. Media 14, No. 1, 131-147 (2019). MSC: 92C50 49K15 49K20 × Cite Format Result Cite Review PDF Full Text: DOI
Daimon, Takashi; Hirakawa, Akihiro; Matsui, Shigeyuki Dose-finding designs for early-phase cancer clinical trials. A brief guidebook to theory and practice. (English) Zbl 1427.92001 SpringerBriefs in Statistics. JSS Research Series in Statistics. Tokyo: Springer (ISBN 978-4-431-55584-1/pbk; 978-4-431-55585-8/ebook). xv, 133 p. (2019). Reviewer: Fatima T. Adylova (Tashkent) MSC: 92-02 92C50 62P10 92-08 92-04 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chakraborty, Sudip; Li, Xue-Zhi; Roy, Priti Kumar How can HPV-induced cervical cancer be controlled by a combination of drug therapy? A mathematical study. (English) Zbl 1422.92077 Int. J. Biomath. 12, No. 6, Article ID 1950070, 17 p. (2019). MSC: 92C50 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Subbotina, N. N.; Novoselova, N. G. On applications of the Hamilton-Jacobi equations and optimal control theory to problems of chemotherapy of malignant tumors. (English. Russian original) Zbl 1422.49044 Proc. Steklov Inst. Math. 304, 257-267 (2019); translation from Tr. Mat. Inst. Steklova 304, 273-284 (2019). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 49S05 49J15 92C50 92C37 49N35 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández, Luis A.; Pola, Cecilia Optimal control problems for the Gompertz model under the Norton-Simon hypothesis in chemotherapy. (English) Zbl 1418.92053 Discrete Contin. Dyn. Syst., Ser. B 24, No. 6, 2577-2612 (2019). MSC: 92C50 92C45 49K15 × Cite Format Result Cite Review PDF Full Text: DOI
Friedman, Avner; Lai, Xiulan Antagonism and negative side-effects in combination therapy for cancer. (English) Zbl 1418.35386 Discrete Contin. Dyn. Syst., Ser. B 24, No. 5, 2237-2250 (2019). MSC: 35R35 35Q92 92C50 35R37 35K55 92B05 × Cite Format Result Cite Review PDF Full Text: DOI
Bodnar, Marek; Piotrowska, Monika Joanna; Bogdańska, Magdalena Urszula Mathematical analysis of a generalised model of chemotherapy for low grade gliomas. (English) Zbl 1422.34146 Discrete Contin. Dyn. Syst., Ser. B 24, No. 5, 2149-2167 (2019). MSC: 34C60 34D20 34D23 34C25 92C50 34D05 92C37 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Bajger, Piotr; Bodzioch, Mariusz; Foryś, Urszula Singularity of controls in a simple model of acquired chemotherapy resistance. (English) Zbl 1420.92049 Discrete Contin. Dyn. Syst., Ser. B 24, No. 5, 2039-2052 (2019). MSC: 92C50 49K15 × Cite Format Result Cite Review PDF Full Text: DOI
Alvarez-Arenas, Arturo; Starkov, Konstantin E.; Calvo, Gabriel F.; Belmonte-Beitia, Juan Ultimate dynamics and optimal control of a multi-compartment model of tumor resistance to chemotherapy. (English) Zbl 1420.92047 Discrete Contin. Dyn. Syst., Ser. B 24, No. 5, 2017-2038 (2019). MSC: 92C50 49K15 49J30 × Cite Format Result Cite Review PDF Full Text: DOI
Riah, Rachid; Fiacchini, Mirko; Alamir, Mazen Iterative method for estimating the robust domains of attraction of non-linear systems: application to cancer chemotherapy model with parametric uncertainties. (English) Zbl 1412.93038 Eur. J. Control 47, 64-73 (2019). MSC: 93C10 93B35 92C50 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Abdulrashid, Ismail; Alsammani, Abdallah A. M.; Han, Xiaoying Stability analysis of a chemotherapy model with delays. (English) Zbl 1410.34248 Discrete Contin. Dyn. Syst., Ser. B 24, No. 3, 989-1005 (2019). MSC: 34K60 34K20 93D05 92D25 × Cite Format Result Cite Review PDF Full Text: DOI