Rouf, Samiha; Moore, Casey; Saha, Debabrata; Nguyen, Dan; Bleile, MaryLena; Timmerman, Robert; Peng, Hao; Jiang, Steve PULSAR effect: revealing potential synergies in combined radiation therapy and immunotherapy via differential equations. (English) Zbl 07974682 J. Theor. Biol. 596, Article ID 111974, 9 p. (2025). MSC: 92C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Rui; Huang, Shijie; Xiao, Xufeng; Sheen, Dongwoo; Feng, Xinlong On a skin tumor growth modeling by the surface finite element methods combined with the phase field approach. (English) Zbl 07973472 Commun. Nonlinear Sci. Numer. Simul. 141, Article ID 108470, 18 p. (2025). MSC: 65M60 65M06 65N30 65N50 35R09 92C17 92C37 92-08 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Zhuang, Yuehong Analysis of a high-dimensional free boundary problem on tumor growth with time-dependent nutrient supply and inhibitor action. (English) Zbl 07971465 J. Differ. Equations 416, Part 2, 1222-1259 (2025). MSC: 35R35 35B35 35B40 35K51 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Riva, Filippo; Rocca, Elisabetta A rigorous approach to the sharp interface limit for phase-field models of tumor growth. (English) Zbl 07965644 SIAM J. Math. Anal. 57, No. 1, 65-94 (2025). MSC: 35B25 35K52 35K58 35Q92 35R35 92C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Zhaoyang; Lin, Ping; Yang, Junxiang Stability and error analysis of structure-preserving schemes for a diffuse-interface tumor growth model. (English) Zbl 07964734 SIAM J. Sci. Comput. 47, No. 1, B59-B86 (2025). MSC: 35Q92 65M12 65Z05 92C17 × Cite Format Result Cite Review PDF Full Text: DOI
Swartwood, Brea Stability analysis of traveling wave fronts in a model for tumor growth. (English) Zbl 07947243 Nonlinear Anal., Real World Appl. 81, Article ID 104176, 10 p. (2025). MSC: 92C32 92C50 35Q92 35C07 × Cite Format Result Cite Review PDF Full Text: DOI
Fritz, Marvin On the well-posedness of the Cahn-Hilliard-Biot model and its applications to tumor growth. (English) Zbl 07966545 Discrete Contin. Dyn. Syst., Ser. S 17, No. 12, 3533-3563 (2024). MSC: 35Q35 35A01 35A02 35D30 35Q92 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Pasetto, Stefano; Harshe, Isha; Brady-Nicholls, Renee; Gatenby, Robert. A.; Enderling, Heiko Harnessing flex point symmetry to estimate logistic tumor population growth. (English) Zbl 07938625 Bull. Math. Biol. 86, No. 11, Paper No. 135, 16 p. (2024). MSC: 92C32 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Chun Global boundedness and large time behavior of solutions to a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis. (English) Zbl 07920871 Z. Angew. Math. Phys. 75, No. 5, Paper No. 176, 26 p. (2024). MSC: 35B40 35A09 35K51 35K59 92C17 × Cite Format Result Cite Review PDF Full Text: DOI
Abdelouahab, Ahlem; Bensid, Sabri Analysis of a multiphase free boundary problem. (English) Zbl 07906389 Opusc. Math. 44, No. 5, 631-649 (2024). MSC: 35J25 35R35 92B05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Huiting; Hou, Sumei; Wei, Xuemei Analysis of a free boundary tumor model with time-dependent in the presence of inhibitors. (English) Zbl 1546.35268 Discrete Contin. Dyn. Syst., Ser. B 29, No. 9, 3887-3907 (2024). MSC: 35R35 35K57 35Q92 × 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
Dou, Xu’an; Shen, Chengfeng; Zhou, Zhennan Tumor growth with a necrotic core as an obstacle problem in pressure. (English) Zbl 1542.35459 Acta Appl. Math. 191, Paper No. 14, 37 p. (2024). MSC: 35R35 35C07 92C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agosti, Abramo; Signori, Andrea Analysis of a multi-species Cahn-Hilliard-Keller-Segel tumor growth model with chemotaxis and angiogenesis. (English) Zbl 1542.35115 J. Differ. Equations 403, 308-367 (2024). MSC: 35D30 35B65 35K52 35K57 35K86 35Q92 35Q35 92C17 92C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
You, Bo Optimal distributed control for a Cahn-Hilliard type phase field system related to tumor growth. (English) Zbl 1542.35397 Math. Control Relat. Fields 14, No. 2, 575-609 (2024). MSC: 35Q92 35Q93 92C50 92C32 92C37 35K55 49J20 49K20 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Yu; Liu, Liu; Zhou, Zhennan A unified Bayesian inversion approach for a class of tumor growth models with different pressure laws. (English) Zbl 1541.35557 ESAIM, Math. Model. Numer. Anal. 58, No. 2, 613-638 (2024). MSC: 35R30 35K20 35K65 62F15 65M32 92-10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Qiumei; Qiao, Zhonghua; Yang, Huiting Maximum bound principle and non-negativity preserving ETD schemes for a phase field model of prostate cancer growth with treatment. (English) Zbl 1539.74277 Comput. Methods Appl. Mech. Eng. 426, Article ID 116981, 24 p. (2024). MSC: 74N20 92C50 92C32 92C60 × Cite Format Result Cite Review PDF Full Text: DOI
Ngoc, Nguyen Thi Yen; Khoa, Vo Anh An explicit Fourier-Klibanov method for an age-dependent tumor growth model of Gompertz type. (English) Zbl 07856311 Appl. Numer. Math. 198, 401-418 (2024). MSC: 65Mxx 35Rxx 92Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Asadi-Mehregan, Fatemeh; Assari, Pouria; Dehghan, Mehdi Simulation of the cancer cell growth and their invasion into healthy tissues using local radial basis function method. (English) Zbl 07855363 Eng. Anal. Bound. Elem. 163, 56-68 (2024). MSC: 92C50 65D12 92-08 92C32 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Huiyan; Feng, Zhaoyong; Wei, Xuemei Linear stability for a periodic tumor angiogenesis model with free boundary in the presence of inhibitors. (English) Zbl 1541.35045 J. Math. Anal. Appl. 531, No. 2, Part 1, Article ID 127832, 20 p. (2024). MSC: 35B35 35B10 35Q92 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Fang; You, Bo Optimal control of a phase field tumor growth model with chemotaxis and active transport. (English) Zbl 1535.35184 J. Nonlinear Var. Anal. 8, No. 1, 41-65 (2024). MSC: 35Q92 92C50 92C17 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Agosti, Abramo; Rocca, Elisabetta; Scarpa, Luca Strict separation and numerical approximation for a non-local Cahn-Hilliard equation with single-well potential. (English) Zbl 1537.35206 Discrete Contin. Dyn. Syst., Ser. S 17, No. 1, 462-511 (2024). MSC: 35K55 45K05 65M60 65R20 92B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duswald, Tobias; Lima, Ernesto A. B. F.; Oden, J. Tinsley; Wohlmuth, Barbara Bridging scales: a hybrid model to simulate vascular tumor growth and treatment response. (English) Zbl 1539.74237 Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116566, 27 p. (2024). MSC: 74L15 92C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leander, Rachel; Owanga, Greg; Nelson, David; Liu, Yeqian A mathematical model of stroma-supported allometric tumor growth. (English) Zbl 1533.92046 Bull. Math. Biol. 86, No. 4, Paper No. 38, 59 p. (2024). MSC: 92C32 × Cite Format Result Cite Review PDF Full Text: DOI
Sprekels, Jürgen; Tröltzsch, Fredi Second-order sufficient conditions in the sparse optimal control of a phase field tumor growth model with logarithmic potential. (English) Zbl 1534.35244 ESAIM, Control Optim. Calc. Var. 30, Paper No. 13, 25 p. (2024). MSC: 35K57 35K51 35Q93 37N25 49J50 49J52 49K20 49K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Otunuga, Olusegun Michael Tumor growth and population modeling in a toxicant-stressed random environment. (English) Zbl 07793904 J. Math. Biol. 88, No. 2, Paper No. 18, 45 p. (2024). MSC: 92D25 82C31 60H10 92-10 90C30 92-08 92C37 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Hillen, Thomas; Loy, Nadia; Painter, Kevin J.; Thiessen, Ryan Modelling microtube driven invasion of glioma. (English) Zbl 1530.92042 J. Math. Biol. 88, No. 1, Paper No. 4, 34 p. (2024). MSC: 92C32 92C17 35K57 35Q49 × Cite Format Result Cite Review PDF Full Text: DOI
Martínez, Romeo; Gallegos, Armando; Macías-Díaz, Jorge E. A fractional tumor-growth model and the determination of the power law for different cancers based on data fitting. (English) Zbl 1530.92043 Appl. Math. Lett. 147, Article ID 108840, 5 p. (2024). MSC: 92C32 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Abdeljalil, Slah Eddin Ben; Essid, Atef Ben; Aouadi, Saloua Mani Analysis of a tumor growth model with treatments. (English) Zbl 1540.92060 Adv. Pure Appl. Math. 15, No. 2, 18-39 (2024). MSC: 92C50 35Q92 35F16 35L65 35R09 92C32 92C37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Jinjing; Xu, Yang; Zhao, Jingjun; Jiang, Tao A highly efficient semi-implicit corrective SPH scheme for 2D/3D tumor growth model. (English) Zbl 1537.76122 Eng. Anal. Bound. Elem. 155, 839-849 (2023). MSC: 76M28 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Mahmoodi, Mohammad; Pishevar, Ahmadreza; Azargoshasbi, Farzaneh Numerical investigation of the pharmacokinetics and pharmacodynamics of the chemotherapeutic drug in avascular and vascular stages of a brain tumor. (English) Zbl 1532.92045 J. Theor. Biol. 575, Article ID 111633, 17 p. (2023). MSC: 92C45 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen Nutrient control for a viscous Cahn-Hilliard-Keller-Segel model with logistic source describing tumor growth. (English) Zbl 1532.35278 Discrete Contin. Dyn. Syst., Ser. S 16, No. 12, 3552-3572 (2023). MSC: 35K61 35K51 35K59 49J20 49K20 49J50 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grillo, Alfio; Di Stefano, Salvatore An a posteriori approach to the mechanics of volumetric growth. (English) Zbl 1534.74043 Math. Mech. Complex Syst. 11, No. 1, 57-86 (2023). MSC: 74L15 74A99 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Dor, Dieunel On the hyperbolic relaxation of the Cahn-Hilliard equation with a mass source. (English) Zbl 1528.35211 Asymptotic Anal. 135, No. 1-2, 25-53 (2023). MSC: 35Q92 92C37 35B41 35B65 35A01 35A02 35L20 65M60 65M06 65N30 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Fasano, Antonio; Sinisgalli, Carmela Traveling waves and free boundaries arising in tumor angiogenesis. (English) Zbl 1527.35439 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 1, 175-194 (2023). MSC: 35Q92 35K57 35C07 35R35 92C17 × Cite Format Result Cite Review PDF Full Text: DOI
Díaz-Marín, Homero G.; Osuna, Osvaldo Multi-layered tumor cell cultures with almost periodic nutrient supply. (English) Zbl 1527.34077 Z. Anal. Anwend. 42, No. 1-2, 171-187 (2023). MSC: 34C60 34C27 92C37 37C60 × Cite Format Result Cite Review PDF Full Text: DOI
Mani, V. N. Deiva; Karthikeyan, S.; Shangerganesh, L.; Anthoni, S. Marshal Solvability of the acid-mediated tumor growth model with nonlinear acid production term. (English) Zbl 1526.35206 J. Elliptic Parabol. Equ. 9, No. 2, 887-900 (2023). MSC: 35K51 35K57 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Inwon; Lelmi, Jona Tumor growth with nutrients: stability of the tumor patches. (English) Zbl 1526.35099 SIAM J. Math. Anal. 55, No. 5, 5862-5892 (2023). MSC: 35B65 35B25 35K45 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Inwon; Mellet, Antoine Incompressible limit of a porous media equation with bistable and monostable reaction term. (English) Zbl 1526.35036 SIAM J. Math. Anal. 55, No. 5, 5318-5344 (2023). MSC: 35B30 35A02 35K55 35K57 35K65 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jacobs, Matt; Kim, Inwon; Tong, Jiajun Tumor growth with nutrients: regularity and stability. (English) Zbl 1527.35441 Commun. Am. Math. Soc. 3, 166-208 (2023). MSC: 35Q92 92C37 92C17 35B65 35B35 35K45 35K57 35K55 35B51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chu, Raymond A Hele-Shaw limit with a variable upper bound and drift. (English) Zbl 1529.35584 SIAM J. Math. Anal. 55, No. 5, 4938-4976 (2023). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35R35 35K59 35Q92 76S05 76D27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Yaodan; Zhuang, Yuehong Analysis of a radial free boundary tumor model with time-dependent absorption efficiency. (English) Zbl 1522.35601 J. Differ. Equations 373, 243-282 (2023). MSC: 35R35 35B35 35B40 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen Cahn-Hilliard-Brinkman model for tumor growth with possibly singular potentials. (English) Zbl 1521.35101 Nonlinearity 36, No. 8, 4470-4500 (2023). MSC: 35K35 35K86 35Q35 92C17 92C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khajanchi, Subhas; Sardar, Mrinmoy; Nieto, Juan J. Application of non-singular kernel in a tumor model with strong Allee effect. (English) Zbl 1521.34057 Differ. Equ. Dyn. Syst. 31, No. 3, 687-692 (2023). MSC: 34C60 34A08 92C37 34D05 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Shihe; Bai, Meng Analysis of a free boundary problem modeling spherically symmetric tumor growth with angiogenesis and a periodic supply of nutrients. (English) Zbl 1519.92055 Bound. Value Probl. 2023, Paper No. 61, 15 p. (2023). MSC: 92C32 35B40 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Khan, Farhan; Abbas, Mudassar; Macías-Díaz, Jorge E.; Khan, Muhammad Bilal; Alghamdi, Safar M. Computational solution of an acid-mediated tumor-growth radial model under logistic growth regimes for normal and cancer cells. (English) Zbl 1519.92042 Int. J. Biomath. 16, No. 3, Article ID 2250084, 18 p. (2023). MSC: 92C32 92C37 35Q92 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Shihe; Xuan, Zuxing Analysis of a free boundary problem for vascularized tumor growth with a necrotic core and time delays. (English) Zbl 1518.92049 Nonlinear Anal., Real World Appl. 72, Article ID 103855, 11 p. (2023). MSC: 92C32 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Yu; Tang, Min; Xu, Xiaoqian; Zhou, Zhennan Tumor boundary instability induced by nutrient consumption and supply. (English) Zbl 1516.35552 Z. Angew. Math. Phys. 74, No. 3, Paper No. 107, 30 p. (2023). MSC: 35R35 92C10 70K50 74G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Xiaoqin; Wu, Lixiao; Wen, Juan; Zhang, Juan SAV Fourier-spectral method for diffuse-interface tumor-growth model. (English) Zbl 1538.92009 Comput. Math. Appl. 140, 250-259 (2023). MSC: 92C32 35Q35 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Fritz, Marvin Tumor evolution models of phase-field type with nonlocal effects and angiogenesis. (English) Zbl 1514.92027 Bull. Math. Biol. 85, No. 6, Paper No. 44, 34 p. (2023). MSC: 92C32 35Q92 92C37 92C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Haishuang; Wei, Xuemei Linear stability analysis for the free boundary problem modeling tumor growth with angiogenesis in the presence of inhibitors. (English) Zbl 1514.35035 J. Differ. Equations 364, 244-295 (2023). MSC: 35B35 35B40 35C10 35R35 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Shihe; Zhang, Fangwei; Zhou, Qinghua A free boundary problem for necrotic tumor growth with angiogenesis. (English) Zbl 1512.35693 Appl. Anal. 102, No. 3, 977-987 (2023). MSC: 35R35 35J25 35K57 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Agosti, A.; Giotta Lucifero, A.; Luzzi, S. An image-informed Cahn-Hilliard Keller-Segel multiphase field model for tumor growth with angiogenesis. (English) Zbl 1511.35351 Appl. Math. Comput. 445, Article ID 127834, 33 p. (2023). MSC: 35Q92 65M60 76T30 92C50 92C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bak, Bjarke Spangsberg; Andersen, Morten; Ottesen, Johnny T.; Hansen, J. S. How do cell crowding and starvation affect avascular tumor growth of the EMT6/Ro tumor? (English) Zbl 1511.35352 Math. Model. Nat. Phenom. 18, Paper No. 8, 15 p. (2023). MSC: 35Q92 92C45 92C37 35K57 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Bodzioch, Mariusz; Bajger, Piotr; Foryś, Urszula Competition between populations: preventing domination of resistant population using optimal control. (English) Zbl 1510.92154 Appl. Math. Modelling 114, 671-693 (2023). MSC: 92D25 92D45 49N90 49K15 × Cite Format Result Cite Review PDF Full Text: DOI
Flandoli, Franco; Leocata, Marta; Ricci, Cristiano The mathematical modeling of cancer growth and angiogenesis by an individual based interacting system. (English) Zbl 1508.92050 J. Theor. Biol. 562, Article ID 111432, 12 p. (2023). MSC: 92C32 92C15 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Yangjin; Lee, Junho; Lee, Chaeyoung; Lawler, Sean Role of senescent tumor cells in building a cytokine shield in the tumor microenvironment: mathematical modeling. (English) Zbl 1505.92049 J. Math. Biol. 86, No. 1, Paper No. 14, 42 p. (2023). MSC: 92C32 92C37 92C17 92C45 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Rocca, Elisabetta; Schimperna, Giulio; Signori, Andrea On a Cahn-Hilliard-Keller-Segel model with generalized logistic source describing tumor growth. (English) Zbl 1502.35044 J. Differ. Equations 343, 530-578 (2023). MSC: 35D30 35K35 35K51 35K86 92C17 92C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Dou, Xu’an; Liu, Jian-Guo; Zhou, Zhennan A tumor growth model with autophagy: the reaction-(cross-)diffusion system and its free boundary limit. (English) Zbl 1502.35178 Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1964-1992 (2023). MSC: 35Q92 92C17 92C37 92-10 92-08 65M06 65N06 35R35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xiaohong; Hu, Bei; Zhang, Zhengce A three-dimensional angiogenesis model with time-delay. (English) Zbl 1502.35185 Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1823-1854 (2023). MSC: 35Q92 35R35 35K57 35B40 92C37 92C17 35R07 × Cite Format Result Cite Review PDF Full Text: DOI
Bulai, I. M.; De Bonis, M. C.; Laurita, C.; Sagaria, V. Modeling metastatic tumor evolution, numerical resolution and growth prediction. (English) Zbl 1540.92017 Math. Comput. Simul. 203, 721-740 (2023). MSC: 92-10 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Nowakowski, Andrzej; Krawczyk, Anita Control of tumor growth modeled by system of PDE, numerical analysis of optimality conditions. (English) Zbl 1530.35325 Math. Methods Appl. Sci. 45, No. 16, 9371-9385 (2022). MSC: 35Q92 92C37 92C17 92C50 35K45 49K20 49M41 65M60 65K05 90C39 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Isheden, Gabriel; Czene, Kamila; Humphreys, Keith Random effects models of lymph node metastases in breast cancer: quantifying the roles of covariates and screening using a continuous growth model. (English) Zbl 1520.62239 Biometrics 78, No. 1, 376-387 (2022). MSC: 62P10 × Cite Format Result Cite Review PDF Full Text: DOI
Burgos, Clara; Cortés, Juan-Carlos; López-Navarro, Elena; Martínez-Rodríguez, David; Moscardó-García, Ana; Villanueva, Rafael-J. A computational probabilistic calibration of the Pielou’s model to study the growth of breast tumors: a comparative study. (English) Zbl 1520.92019 Pinto, Carla M. A. (ed.), Nonlinear dynamics and complexity. Mathematical modelling of real-world problems. Cham: Springer. Nonlinear Syst. Complex. 36, 55-69 (2022). MSC: 92C32 62P10 × Cite Format Result Cite Review PDF Full Text: DOI
Garcke, Harald; Kovács, Balázs; Trautwein, Dennis Viscoelastic Cahn-Hilliard models for tumor growth. (English) Zbl 1524.35659 Math. Models Methods Appl. Sci. 32, No. 13, 2673-2758 (2022). MSC: 35Q92 35K35 76A10 76M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schönfeld, Sabrina; Ozkan, Alican; Scarabosio, Laura; Rylander, Marissa Nichole; Kuttler, Christina Environmental stress level to model tumor cell growth and survival. (English) Zbl 1508.92063 Math. Biosci. Eng. 19, No. 6, 5509-5545 (2022). MSC: 92C32 92C37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mansour, Mahmoud B. A.; Abobakr, Asmaa H. Stochastic differential equation models for tumor population growth. (English) Zbl 1508.92105 Chaos Solitons Fractals 164, Article ID 112738, 7 p. (2022). MSC: 92C50 92C37 60H10 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Pardeep; Jha, Sarita; Aggarwal, Rajiv; Jha, Govind Kumar Effect of climate change on brain tumor. (English) Zbl 1513.34182 Appl. Appl. Math. 17, No. 2, 581-590 (2022). MSC: 34C60 34H10 34D06 34D20 92C37 86A08 × Cite Format Result Cite Review PDF Full Text: Link
Rocha, Heber L.; de O. Silva, João Vitor; Silva, Renato S.; Lima, Ernesto A. B. F.; Almeida, Regina C. Reprint of: Bayesian inference using Gaussian process surrogates in cancer modeling. (English) Zbl 1507.62347 Comput. Methods Appl. Mech. Eng. 402, Article ID 115759, 16 p. (2022). MSC: 62P10 92C37 92C50 × 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
Han, Ping; Xu, Wei; Zhang, Hongxia; Wang, Liang Most probable trajectories in the delayed tumor growth model excited by a multiplicative non-Gaussian noise. (English) Zbl 1506.92049 Chaos Solitons Fractals 156, Article ID 111801, 9 p. (2022). MSC: 92C50 60H10 60G51 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Piyush Pratap; Roy, Binoy Krishna Chaos and multistability behaviors in 4D dissipative cancer growth/decay model with unstable line of equilibria. (English) Zbl 1504.92062 Chaos Solitons Fractals 161, Article ID 112312, 8 p. (2022). MSC: 92C50 37N25 × Cite Format Result Cite Review PDF Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi; Khodadadian, Amirreza; Noii, Nima; Wick, Thomas An asymptotic analysis and numerical simulation of a prostate tumor growth model via the generalized moving least squares approximation combined with semi-implicit time integration. (English) Zbl 1505.92104 Appl. Math. Modelling 104, 826-849 (2022). MSC: 92C50 92C37 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Cherfils, Laurence; Gatti, Stefania; Guillevin, Carole; Miranville, Alain; Guillevin, Rémy On a tumor growth model with brain lactate kinetics. (English) Zbl 1505.92045 Math. Med. Biol. 39, No. 4, 382-409 (2022). MSC: 92C32 92C50 92C45 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Resende, Anna Claudia M.; Lima, Ernesto A. B. F.; Almeida, Regina C.; McKenna, Matthew T.; Yankeelov, Thomas E. Model selection for assessing the effects of doxorubicin on triple-negative breast cancer cell lines. (English) Zbl 1505.92107 J. Math. Biol. 85, No. 6-7, Paper No. 65, 27 p. (2022). MSC: 92C50 62P10 62F15 × Cite Format Result Cite Review PDF Full Text: DOI
Zou, Guang-An; Wang, Bo; Yang, Xiaofeng A fully-decoupled discontinuous Galerkin approximation of the Cahn-Hilliard-Brinkman-Ohta-Kawasaki tumor growth model. (English) Zbl 1503.65255 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2141-2180 (2022). MSC: 65M60 65M06 65N30 65M12 76S05 76Z05 92C35 92C17 92C37 92C50 35Q92 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Eigner, György; Siket, Máté; Czakó, Bence; Drexler, Dániel András; Rudas, Imre; Zarándy, Ákos; Kovács, Levente Model predictive tumour volume control using nonlinear optimization. (English) Zbl 1504.92052 Shi, Peng (ed.) et al., Complex systems: spanning control and computational cybernetics: applications. Dedicated to Professor Georgi M. Dimirovski on his anniversary. Cham: Springer. Stud. Syst. Decis. Control 415, 235-250 (2022). MSC: 92C50 93B45 93C10 × Cite Format Result Cite Review PDF Full Text: DOI
Shyntar, Alexandra; Patel, Ashna; Rhodes, Meghan; Enderling, Heiko; Hillen, Thomas The tumor invasion paradox in cancer stem cell-driven solid tumors. (English) Zbl 1503.92029 Bull. Math. Biol. 84, No. 12, Paper No. 139, 24 p. (2022). MSC: 92C32 92C37 35K57 35C07 × Cite Format Result Cite Review PDF Full Text: DOI
Pan, Hongjing; Xing, Ruixiang Symmetry-breaking bifurcations for free boundary problems modeling tumor growth. (English) Zbl 1501.35464 Topol. Methods Nonlinear Anal. 60, No. 1, 387-412 (2022). MSC: 35R35 35B32 35J57 35Q92 37G40 92C15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Schimperna, Giulio On the Cahn-Hilliard-Darcy system with mass source and strongly separating potential. (English) Zbl 1500.35090 Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 2305-2329 (2022). MSC: 35D30 35K35 35K58 35Q35 76D27 92C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Wajeh, Mohammad; Jung, Falco; Bongartz, Dominik; Kappatou, Chrysoula Dimitra; Ghaffari Laleh, Narmin; Mitsos, Alexander; Kather, Jakob Nikolas Can the Kuznetsov model replicate and predict cancer growth in humans? (English) Zbl 1500.92020 Bull. Math. Biol. 84, No. 11, Paper No. 130, 26 p. (2022). MSC: 92C32 × Cite Format Result Cite Review PDF Full Text: DOI
Rocha, Heber L.; de O. Silva, João Vitor; Silva, Renato S.; Lima, Ernesto A. B. F.; Almeida, Regina C. Bayesian inference using Gaussian process surrogates in cancer modeling. (English) Zbl 1507.62346 Comput. Methods Appl. Mech. Eng. 399, Article ID 115412, 16 p. (2022). MSC: 62P10 62F15 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Haiying; Yang, Hongli; Liu, Nan; Yang, Liangui Bifurcation and chaos analysis of tumor growth. (English) Zbl 1492.92039 Int. J. Biomath. 15, No. 6, Article ID 2250039, 15 p. (2022). MSC: 92C50 65P20 × Cite Format Result Cite Review PDF Full Text: DOI
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities. (English) Zbl 1493.35123 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 1, 193-228 (2022). MSC: 35Q92 35R11 35K51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zheng, Xiaoming; Zhao, Kun; Jackson, Trachette; Lowengrub, John Tumor growth towards lower extracellular matrix conductivity regions under Darcy’s law and steady morphology. (English) Zbl 1496.92014 J. Math. Biol. 85, No. 1, Paper No. 5, 23 p. (2022). MSC: 92C32 92C17 × Cite Format Result Cite Review PDF Full Text: DOI Link
Xu, Shihe; Zhang, Fangwei; Zhou, Qinghua Analysis of a free boundary problem for solid avascular tumor growth with a time delay in regulatory apoptosis. (English) Zbl 1489.92076 Int. J. Biomath. 15, No. 5, Article ID 2250021, 20 p. (2022). MSC: 92C50 34K12 34K60 × Cite Format Result Cite Review PDF Full Text: DOI
Dela, An; Shtylla, Blerta; de Pillis, Lisette Multi-method global sensitivity analysis of mathematical models. (English) Zbl 1491.92040 J. Theor. Biol. 546, Article ID 111159, 12 p. (2022). MSC: 92C32 92D30 92-10 × Cite Format Result Cite Review PDF Full Text: DOI
Huo, Xiaokai; Jüngel, Ansgar; Tzavaras, Athanasios E. Weak-strong uniqueness for Maxwell-Stefan systems. (English) Zbl 1498.35008 SIAM J. Math. Anal. 54, No. 3, 3215-3252 (2022). Reviewer: Pierre-Étienne Druet (Berlin) MSC: 35A02 35K51 35K55 35Q35 76R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen Optimal control problems with sparsity for tumor growth models involving variational inequalities. (English) Zbl 1492.92014 J. Optim. Theory Appl. 194, No. 1, 25-58 (2022). MSC: 92C32 92C17 49J40 49J20 35K57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Min-Jhe; Hao, Wenrui; Liu, Chun; Lowengrub, John; Li, Shuwang Nonlinear simulation of vascular tumor growth with chemotaxis and the control of necrosis. (English) Zbl 07525143 J. Comput. Phys. 459, Article ID 111153, 33 p. (2022). MSC: 92Cxx 35Bxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Heidari, Hossein; Karamati, Mahdi Rezaei; Motavalli, Hossein Tumor growth modeling via Fokker-Planck equation. (English) Zbl 07511868 Physica A 596, Article ID 127168, 10 p. (2022). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Olach, Rudolf; Lučanský, Vincent; Dorociaková, Božena The model of nutrients influence on the tumor growth. (English) Zbl 1528.35213 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2607-2619 (2022). MSC: 35Q92 92C37 92C17 92C42 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Paszyński, Maciej; Siwik, Leszek; Dzwinel, Witold; Pingali, Keshav Supermodeling, a convergent data assimilation meta-procedure used in simulation of tumor progression. (English) Zbl 1504.92058 Comput. Math. Appl. 113, 214-224 (2022). MSC: 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Sakthivel, K.; Arivazhagan, A.; Barani Balan, N. Inverse problem for a Cahn-Hilliard type system modeling tumor growth. (English) Zbl 1485.35426 Appl. Anal. 101, No. 3, 858-890 (2022). MSC: 35R30 35B35 35K51 35K58 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Yaodan Asymptotic stability for a free boundary tumor model with a periodic supply of external nutrients. (English) Zbl 1485.35434 Nonlinear Anal., Real World Appl. 65, Article ID 103466, 22 p. (2022). MSC: 35R35 35B10 35B35 35B40 92C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fiandaca, Giada; Bernardi, Sara; Scianna, Marco; Delitala, Marcello Edoardo A phenotype-structured model to reproduce the avascular growth of a tumor and its interaction with the surrounding environment. (English) Zbl 1483.92045 J. Theor. Biol. 535, Article ID 110980, 21 p. (2022). MSC: 92C32 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Knopf, Patrik; Signori, Andrea Existence of weak solutions to multiphase Cahn-Hilliard-Darcy and Cahn-Hilliard-Brinkman models for stratified tumor growth with chemotaxis and general source terms. (English) Zbl 1484.35148 Commun. Partial Differ. Equations 47, No. 2, 233-278 (2022). MSC: 35D30 35K35 35K86 76D07 92C17 92C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Storvik, Erlend; Both, Jakub Wiktor; Nordbotten, Jan Martin; Radu, Florin Adrian A Cahn-Hilliard-Biot system and its generalized gradient flow structure. (English) Zbl 1524.35304 Appl. Math. Lett. 126, Article ID 107799, 8 p. (2022). MSC: 35K55 74N25 34G20 35Q35 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Medina, Emmanuel Y.; Toledo, Elson M.; Igreja, Iury; Rocha, Bernardo M. A stabilized hybrid discontinuous Galerkin method for the Cahn-Hilliard equation. (English) Zbl 1484.65229 J. Comput. Appl. Math. 406, Article ID 114025, 16 p. (2022). MSC: 65M60 65M06 65N30 65M12 76M10 35K55 92C37 92C50 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI