Hatzikirou, Haralambos; Breier, Georg; Deutsch, Andreas Cellular automaton modeling of tumor invasion. (English) Zbl 07309899 Sotomayor, Marilda (ed.) et al., Complex social and behavioral systems. Game theory and agent-based models. New York, NY: Springer (ISBN 978-1-0716-0367-3/print; 978-1-0716-0368-0/ebook; 978-1-0716-0369-7/print+ebook). Encyclopedia of Complexity and Systems Science Series; Springer Reference, 851-863 (2020). MSC: 92C32 92C17 92C37 68Q80 PDF BibTeX XML Cite \textit{H. Hatzikirou} et al., in: Complex social and behavioral systems. Game theory and agent-based models. New York, NY: Springer. 851--863 (2020; Zbl 07309899) Full Text: DOI
Ghasemi, Maryam; Sivaloganathan, Sivabal A computational study of combination HIFU-chemotherapy as a potential means of overcoming cancer drug resistance. (English) Zbl 07264583 Math. Biosci. 329, Article ID 108456, 16 p. (2020). MSC: 92C50 35Q82 PDF BibTeX XML Cite \textit{M. Ghasemi} and \textit{S. Sivaloganathan}, Math. Biosci. 329, Article ID 108456, 16 p. (2020; Zbl 07264583) Full Text: DOI
Perrillat-Mercerot, Angélique; Miranville, Alain; Bourmeyster, Nicolas; Guillevin, Carole; Naudin, Mathieu; Guillevin, Rémy What mathematical models can or cannot do in glioma description and understanding. (English) Zbl 1451.92104 Discrete Contin. Dyn. Syst., Ser. S 13, No. 8, 2165-2193 (2020). MSC: 92C32 92C55 92C50 35Q92 PDF BibTeX XML Cite \textit{A. Perrillat-Mercerot} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 8, 2165--2193 (2020; Zbl 1451.92104) Full Text: DOI
Ilati, Mohammad Analysis and application of the interpolating element-free Galerkin method for extended Fisher-Kolmogorov equation which arises in brain tumor dynamics modeling. (English) Zbl 07250888 Numer. Algorithms 85, No. 2, 485-502 (2020). MSC: 65 41A30 65M99 65N99 PDF BibTeX XML Cite \textit{M. Ilati}, Numer. Algorithms 85, No. 2, 485--502 (2020; Zbl 07250888) Full Text: DOI
Penta, Raimondo; Miller, Laura; Grillo, Alfio; Ramírez-Torres, Ariel; Mascheroni, Pietro; Rodríguez-Ramos, Reinaldo Porosity and diffusion in biological tissues. Recent advances and further perspectives. (English) Zbl 1443.74238 Merodio, José (ed.) et al., Constitutive modelling of solid continua. Based on the international workshop on modelling of nonlinear continua, Castro Urdiales, Spain, June 26–30, 2017. Cham: Springer. Solid Mech. Appl. 262, 311-356 (2020). MSC: 74L15 74F10 76R50 76S05 74-02 92C10 PDF BibTeX XML Cite \textit{R. Penta} et al., Solid Mech. Appl. 262, 311--356 (2020; Zbl 1443.74238) Full Text: DOI
Xu, Jiangping; Vilanova, Guillermo; Gomez, Hector Phase-field model of vascular tumor growth: three-dimensional geometry of the vascular network and integration with imaging data. (English) Zbl 1441.74133 Comput. Methods Appl. Mech. Eng. 359, Article ID 112648, 20 p. (2020). MSC: 74L15 92C42 PDF BibTeX XML Cite \textit{J. Xu} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112648, 20 p. (2020; Zbl 1441.74133) Full Text: DOI
Kuznetsov, Maxim; Kolobov, Andrey Investigation of solid tumor progression with account of proliferation/migration dichotomy via Darwinian mathematical model. (English) Zbl 1434.35258 J. Math. Biol. 80, No. 3, 601-626 (2020). MSC: 35Q92 92D15 92C17 35R09 92C37 PDF BibTeX XML Cite \textit{M. Kuznetsov} and \textit{A. Kolobov}, J. Math. Biol. 80, No. 3, 601--626 (2020; Zbl 1434.35258) Full Text: DOI
Sigal, Daniel; Przedborski, Michelle; Sivaloganathan, Darshan; Kohandel, Mohammad Mathematical modelling of cancer stem cell-targeted immunotherapy. (English) Zbl 1437.92066 Math. Biosci. 318, Article ID 108269, 26 p. (2019). MSC: 92C50 34C60 PDF BibTeX XML Cite \textit{D. Sigal} et al., Math. Biosci. 318, Article ID 108269, 26 p. (2019; Zbl 1437.92066) Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method. (English) Zbl 1440.74428 Comput. Methods Appl. Mech. Eng. 345, 919-950 (2019). MSC: 74S05 92-10 92C42 37L65 65M22 65M50 65M60 74L15 PDF BibTeX XML Cite \textit{V. Mohammadi} and \textit{M. Dehghan}, Comput. Methods Appl. Mech. Eng. 345, 919--950 (2019; Zbl 1440.74428) Full Text: DOI
Zeng, Xianyi; Saleh, Mashriq Ahmed; Tian, Jianjun Paul On finite volume discretization of infiltration dynamics in tumor growth models. (English) Zbl 1435.65140 Adv. Comput. Math. 45, No. 5-6, 3057-3094 (2019). MSC: 65M08 65M06 35R35 92C37 35Q92 PDF BibTeX XML Cite \textit{X. Zeng} et al., Adv. Comput. Math. 45, No. 5--6, 3057--3094 (2019; Zbl 1435.65140) Full Text: DOI
Guzev, Ekaterina; Halachmi, Sarel; Bunimovich-Mendrazitsky, Svetlana Additional extension of the mathematical model for BCG immunotherapy of bladder cancer and its validation by auxiliary tool. (English) Zbl 07168321 Int. J. Nonlinear Sci. Numer. Simul. 20, No. 6, 675-689 (2019). MSC: 92B05 37N25 92C50 37N30 PDF BibTeX XML Cite \textit{E. Guzev} et al., Int. J. Nonlinear Sci. Numer. Simul. 20, No. 6, 675--689 (2019; Zbl 07168321) Full Text: DOI
Unni, Pranav; Seshaiyer, Padmanabhan Mathematical modeling, analysis, and simulation of tumor dynamics with drug interventions. (English) Zbl 1428.92055 Comput. Math. Methods Med. 2019, Article ID 4079298, 13 p. (2019). MSC: 92C50 37N25 34C60 92-10 26A33 PDF BibTeX XML Cite \textit{P. Unni} and \textit{P. Seshaiyer}, Comput. Math. Methods Med. 2019, Article ID 4079298, 13 p. (2019; Zbl 1428.92055) Full Text: DOI
Drapaca, Corina; Sivaloganathan, Siv Mathematical modelling and biomechanics of the brain. (English) Zbl 1427.92002 Fields Institute Monographs 37. New York: Springer; Toronto: The Fields Institute for Research in the Mathematical Sciences (ISBN 978-1-4939-9809-8/hbk; 978-1-4939-9810-4/ebook). x, 155 p. (2019). MSC: 92-02 92C20 92C10 92C32 74L15 92B20 PDF BibTeX XML Cite \textit{C. Drapaca} and \textit{S. Sivaloganathan}, Mathematical modelling and biomechanics of the brain. New York: Springer; Toronto: The Fields Institute for Research in the Mathematical Sciences (2019; Zbl 1427.92002) Full Text: DOI
Mahlbacher, Grace E.; Reihmer, Kara C.; Frieboes, Hermann B. Mathematical modeling of tumor-immune cell interactions. (English) Zbl 1411.92081 J. Theor. Biol. 469, 47-60 (2019). MSC: 92C37 35Q92 PDF BibTeX XML Cite \textit{G. E. Mahlbacher} et al., J. Theor. Biol. 469, 47--60 (2019; Zbl 1411.92081) Full Text: DOI
Zupanc, Günther K. H.; Zupanc, Frederick B.; Sipahi, Rifat Stochastic cellular automata model of tumorous neurosphere growth: roles of developmental maturity and cell death. (English) Zbl 1409.92022 J. Theor. Biol. 467, 100-110 (2019). MSC: 92C15 68Q85 PDF BibTeX XML Cite \textit{G. K. H. Zupanc} et al., J. Theor. Biol. 467, 100--110 (2019; Zbl 1409.92022) Full Text: DOI
Pamuk, Serdal; Çay, İrem; Sazcı, Ali A 2D mathematical model for tumor angiogenesis: the roles of certain cells in the extra cellular matrix. (English) Zbl 1408.35064 Math. Biosci. 306, 32-48 (2018). MSC: 35K20 35K57 35Q92 92C17 PDF BibTeX XML Cite \textit{S. Pamuk} et al., Math. Biosci. 306, 32--48 (2018; Zbl 1408.35064) Full Text: DOI
Li, Meng; Schwartzman, Armin Standardization of multivariate Gaussian mixture models and background adjustment of PET images in brain oncology. (English) Zbl 1411.62322 Ann. Appl. Stat. 12, No. 4, 2197-2227 (2018). MSC: 62P10 62H30 62H35 PDF BibTeX XML Cite \textit{M. Li} and \textit{A. Schwartzman}, Ann. Appl. Stat. 12, No. 4, 2197--2227 (2018; Zbl 1411.62322) Full Text: DOI Euclid
Dechristé, Guillaume; Fehrenbach, Jérôme; Griseti, Elena; Lobjois, Valérie; Poignard, Clair Viscoelastic modeling of the fusion of multicellular tumor spheroids in growth phase. (English) Zbl 1406.92291 J. Theor. Biol. 454, 102-109 (2018). MSC: 92C50 92C15 92C10 35Q92 PDF BibTeX XML Cite \textit{G. Dechristé} et al., J. Theor. Biol. 454, 102--109 (2018; Zbl 1406.92291) Full Text: DOI
He, Yixuan; Kodali, Anita; Wallace, Dorothy I. Predictive modeling of neuroblastoma growth dynamics in xenograft model after bevacizumab anti-VEGF therapy. (English) Zbl 1398.92117 Bull. Math. Biol. 80, No. 8, 2026-2048 (2018). MSC: 92C50 92C45 PDF BibTeX XML Cite \textit{Y. He} et al., Bull. Math. Biol. 80, No. 8, 2026--2048 (2018; Zbl 1398.92117) Full Text: DOI
Morshed, Adnan; Dutta, Prashanta; Dillon, Robert H. Mathematical modeling and numerical simulation of the TGF-\(\beta\)/Smad signaling pathway in tumor microenvironments. (English) Zbl 1400.92195 Appl. Numer. Math. 133, 41-51 (2018). MSC: 92C40 92C37 35Q92 PDF BibTeX XML Cite \textit{A. Morshed} et al., Appl. Numer. Math. 133, 41--51 (2018; Zbl 1400.92195) Full Text: DOI
Rabadan, Raul; Bhanot, Gyan; Marsilio, Sonia; Chiorazzi, Nicholas; Pasqualucci, Laura; Khiabanian, Hossein On statistical modeling of sequencing noise in high depth data to assess tumor evolution. (English) Zbl 1396.92039 J. Stat. Phys. 172, No. 1, 143-155 (2018). MSC: 92C50 PDF BibTeX XML Cite \textit{R. Rabadan} et al., J. Stat. Phys. 172, No. 1, 143--155 (2018; Zbl 1396.92039) Full Text: DOI
Friedman, Avner; Hao, Wenrui The role of exosomes in pancreatic cancer microenvironment. (English) Zbl 1394.92056 Bull. Math. Biol. 80, No. 5, 1111-1133 (2018). MSC: 92C50 92C37 35R35 PDF BibTeX XML Cite \textit{A. Friedman} and \textit{W. Hao}, Bull. Math. Biol. 80, No. 5, 1111--1133 (2018; Zbl 1394.92056) Full Text: DOI
Stepien, Tracy L.; Rutter, Erica M.; Kuang, Yang Traveling waves of a Go-or-Grow model of glioma growth. (English) Zbl 1392.92044 SIAM J. Appl. Math. 78, No. 3, 1778-1801 (2018). MSC: 92C50 35C07 35K57 PDF BibTeX XML Cite \textit{T. L. Stepien} et al., SIAM J. Appl. Math. 78, No. 3, 1778--1801 (2018; Zbl 1392.92044) Full Text: DOI
López, Álvaro G.; Seoane, Jesús M.; Sanjuán, Miguel A. F. Destruction of solid tumors by immune cells. (English) Zbl 07257343 Commun. Nonlinear Sci. Numer. Simul. 44, 390-403 (2017). MSC: 92 26 PDF BibTeX XML Cite \textit{Á. G. López} et al., Commun. Nonlinear Sci. Numer. Simul. 44, 390--403 (2017; Zbl 07257343) Full Text: DOI
Sontichai, Nuttawat Stability analysis for mathematical model of outer rim on avascular tumor growth. (English) Zbl 1451.34066 Thai J. Math. 15, No. 3, 611-627 (2017). MSC: 34C60 92C37 92D25 34C05 34D20 PDF BibTeX XML Cite \textit{N. Sontichai}, Thai J. Math. 15, No. 3, 611--627 (2017; Zbl 1451.34066) Full Text: Link
Xu, Jiangping; Vilanova, Guillermo; Gomez, Hector Full-scale, three-dimensional simulation of early-stage tumor growth: the onset of malignancy. (English) Zbl 1439.74214 Comput. Methods Appl. Mech. Eng. 314, 126-146 (2017). MSC: 74L15 92C50 35Q92 92-10 PDF BibTeX XML Cite \textit{J. Xu} et al., Comput. Methods Appl. Mech. Eng. 314, 126--146 (2017; Zbl 1439.74214) Full Text: DOI
Łoś, Marcin; Paszyński, Maciej; Kłusek, Adrian; Dzwinel, Witold Application of fast isogeometric L2 projection solver for tumor growth simulations. (English) Zbl 1439.92004 Comput. Methods Appl. Mech. Eng. 316, 1257-1269 (2017). MSC: 92-10 92-08 65M60 65D07 74L15 92C42 PDF BibTeX XML Cite \textit{M. Łoś} et al., Comput. Methods Appl. Mech. Eng. 316, 1257--1269 (2017; Zbl 1439.92004) Full Text: DOI
Ramírez-Torres, Ariel; Rodríguez-Ramos, Reinaldo; Merodio, José; Penta, Raimondo; Bravo-Castillero, Julián; Guinovart-Díaz, Raúl; Sabina, Federico J.; García-Reimbert, Catherine; Sevostianov, Igor; Conci, Aura The influence of anisotropic growth and geometry on the stress of solid tumors. (English) Zbl 1423.74626 Int. J. Eng. Sci. 119, 40-49 (2017). MSC: 74L15 92C10 92C50 PDF BibTeX XML Cite \textit{A. Ramírez-Torres} et al., Int. J. Eng. Sci. 119, 40--49 (2017; Zbl 1423.74626) Full Text: DOI
Sabir, Muhammad; Shah, Abdullah; Muhammad, Wazir; Ali, Ijaz; Bastian, Peter A mathematical model of tumor hypoxia targeting in cancer treatment and its numerical simulation. (English) Zbl 1398.92129 Comput. Math. Appl. 74, No. 12, 3250-3259 (2017). MSC: 92C50 35Q92 65M60 65M99 PDF BibTeX XML Cite \textit{M. Sabir} et al., Comput. Math. Appl. 74, No. 12, 3250--3259 (2017; Zbl 1398.92129) Full Text: DOI
Ng, Chin F.; Frieboes, Hermann B. Model of vascular desmoplastic multispecies tumor growth. (English) Zbl 1382.92166 J. Theor. Biol. 430, 245-282 (2017). MSC: 92C50 92-08 PDF BibTeX XML Cite \textit{C. F. Ng} and \textit{H. B. Frieboes}, J. Theor. Biol. 430, 245--282 (2017; Zbl 1382.92166) Full Text: DOI
Drexler, Dániel András; Sápi, Johanna; Kovács, Levente Modeling of tumor growth incorporating the effects of necrosis and the effect of Bevacizumab. (English) Zbl 1380.92028 Complexity 2017, Article ID 5985031, 10 p. (2017). MSC: 92C50 92C37 PDF BibTeX XML Cite \textit{D. A. Drexler} et al., Complexity 2017, Article ID 5985031, 10 p. (2017; Zbl 1380.92028) Full Text: DOI
Timalsina, Asim; Tian, Jianjun Paul; Wang, Jin Mathematical and computational modeling for tumor virotherapy with mediated immunity. (English) Zbl 1373.92070 Bull. Math. Biol. 79, No. 8, 1736-1758 (2017). MSC: 92C50 92C60 PDF BibTeX XML Cite \textit{A. Timalsina} et al., Bull. Math. Biol. 79, No. 8, 1736--1758 (2017; Zbl 1373.92070) Full Text: DOI
Wilkie, Kathleen P.; Hahnfeldt, Philip Modeling the dichotomy of the immune response to cancer: cytotoxic effects and tumor-promoting inflammation. (English) Zbl 1372.92047 Bull. Math. Biol. 79, No. 6, 1426-1448 (2017). MSC: 92C50 PDF BibTeX XML Cite \textit{K. P. Wilkie} and \textit{P. Hahnfeldt}, Bull. Math. Biol. 79, No. 6, 1426--1448 (2017; Zbl 1372.92047) Full Text: DOI
Wang, Zizi; Guo, Zhiming; Peng, Huaqin Dynamical behavior of a new oncolytic virotherapy model based on gene variation. (English) Zbl 1364.35389 Discrete Contin. Dyn. Syst., Ser. S 10, No. 5, 1079-1093 (2017). MSC: 35Q92 35B40 92C50 92C37 PDF BibTeX XML Cite \textit{Z. Wang} et al., Discrete Contin. Dyn. Syst., Ser. S 10, No. 5, 1079--1093 (2017; Zbl 1364.35389) Full Text: DOI
Lejon, Annelies; Mortier, Bert; Samaey, Giovanni Variance-reduced simulation of multiscale tumor growth modeling. (English) Zbl 1362.92032 Multiscale Model. Simul. 15, No. 1, 388-409 (2017). MSC: 92C50 62P10 92-08 PDF BibTeX XML Cite \textit{A. Lejon} et al., Multiscale Model. Simul. 15, No. 1, 388--409 (2017; Zbl 1362.92032) 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 PDF BibTeX XML Cite \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
Knopoff, D.; Fernández, D.; Torres, G.; Turner, C. A mathematical method for parameter estimation in a tumor growth model. (English) Zbl 1365.92048 Comput. Appl. Math. 36, No. 1, 733-748 (2017). MSC: 92C50 35Q92 35R30 65M32 92C37 PDF BibTeX XML Cite \textit{D. Knopoff} et al., Comput. Appl. Math. 36, No. 1, 733--748 (2017; Zbl 1365.92048) Full Text: DOI
De Niz, Carlos; Rahman, Raziur; Zhao, Xiangyuan; Pal, Ranadip Algorithms for drug sensitivity prediction. (English) Zbl 07042386 Algorithms (Basel) 9, No. 4, Paper No. 77, 25 p. (2016). MSC: 92 62 PDF BibTeX XML Cite \textit{C. De Niz} et al., Algorithms (Basel) 9, No. 4, Paper No. 77, 25 p. (2016; Zbl 07042386) Full Text: DOI
Dzwinel, Witold; Wcisło, Rafal; Yuen, David A.; Miller, Shea PAM: particle automata in modeling of multiscale biological systems. (English) Zbl 1368.68314 ACM Trans. Model. Comput. Simul. 26, No. 3, Article No. 20, 21 p. (2016). MSC: 68U20 37B15 37N25 68Q80 92C42 PDF BibTeX XML Cite \textit{W. Dzwinel} et al., ACM Trans. Model. Comput. Simul. 26, No. 3, Article No. 20, 21 p. (2016; Zbl 1368.68314) Full Text: DOI
Schättler, Heinz; Ledzewicz, Urszula; Amini, Behrooz Dynamical properties of a minimally parameterized mathematical model for metronomic chemotherapy. (English) Zbl 1337.92117 J. Math. Biol. 72, No. 5, 1255-1280 (2016). MSC: 92C50 34C23 PDF BibTeX XML Cite \textit{H. Schättler} et al., J. Math. Biol. 72, No. 5, 1255--1280 (2016; Zbl 1337.92117) Full Text: DOI
Vlad, Iulian T.; Juan, Pablo; Mateu, Jorge Bayesian spatio-temporal prediction of cancer dynamics. (English) Zbl 1443.92105 Comput. Math. Appl. 70, No. 5, 857-868 (2015). MSC: 92C50 62F15 62P10 PDF BibTeX XML Cite \textit{I. T. Vlad} et al., Comput. Math. Appl. 70, No. 5, 857--868 (2015; Zbl 1443.92105) Full Text: DOI
Martirosyan, Nikolay L.; Rutter, Erica M.; Ramey, Wyatt L.; Kostelich, Eric J.; Kuang, Yang; Preul, Mark C. Mathematically modeling the biological properties of gliomas: A review. (English) Zbl 1371.92066 Math. Biosci. Eng. 12, No. 4, 879-905 (2015). MSC: 92C50 PDF BibTeX XML Cite \textit{N. L. Martirosyan} et al., Math. Biosci. Eng. 12, No. 4, 879--905 (2015; Zbl 1371.92066) Full Text: DOI
Stepien, Tracy L.; Rutter, Erica M.; Kuang, Yang A data-motivated density-dependent diffusion model of in vitro glioblastoma growth. (English) Zbl 1326.92043 Math. Biosci. Eng. 12, No. 6, 1157-1172 (2015). MSC: 92C50 35C07 35K57 PDF BibTeX XML Cite \textit{T. L. Stepien} et al., Math. Biosci. Eng. 12, No. 6, 1157--1172 (2015; Zbl 1326.92043) Full Text: DOI
Bosiakov, S.; Alekseev, D.; Shpileuski, I. Damage prediction of the femur with postresection defect. (English) Zbl 1329.74189 Mityushev, Vladimir V. (ed.) et al., Current trends in analysis and its applications. Proceedings of the 9th ISAAC congress, Kraków, Poland, August 5–9, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-12576-3/pbk; 978-3-319-12577-0/ebook). Trends in Mathematics. Research Perspectives, 753-759 (2015). MSC: 74L15 92C50 74R99 PDF BibTeX XML Cite \textit{S. Bosiakov} et al., in: Current trends in analysis and its applications. Proceedings of the 9th ISAAC congress, Kraków, Poland, August 5--9, 2013. Cham: Birkhäuser/Springer. 753--759 (2015; Zbl 1329.74189) Full Text: DOI
Kawka, Joanna Mathematical modeling of SGK1 dynamics in medulloblastoma tumor cells. (English) Zbl 1290.92003 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). ii, 135 p. (2014). MSC: 92-02 92C37 92C50 92B05 PDF BibTeX XML Cite \textit{J. Kawka}, Mathematical modeling of SGK1 dynamics in medulloblastoma tumor cells. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2014; Zbl 1290.92003) Full Text: Link
Costa, F. H. S.; Campos, M.; Aiéllo, O. E.; da Silva, M. A. A. Basic ingredients for mathematical modeling of tumor growth in vitro: cooperative effects and search for space. (English) Zbl 1411.92133 J. Theor. Biol. 337, 24-29 (2013). MSC: 92C50 PDF BibTeX XML Cite \textit{F. H. S. Costa} et al., J. Theor. Biol. 337, 24--29 (2013; Zbl 1411.92133) Full Text: DOI
Koch, Gilbert; Schropp, Johannes Mathematical concepts in pharmacokinetics and pharmacodynamics with application to tumor growth. (English) Zbl 1311.37076 Kloeden, Peter E. (ed.) et al., Nonautonomous dynamical systems in the life sciences. Cham: Springer (ISBN 978-3-319-03079-1/pbk; 978-3-319-03080-7/ebook). Lecture Notes in Mathematics 2102. Mathematical Biosciences Subseries, 225-250 (2013). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37N25 92C40 92C50 PDF BibTeX XML Cite \textit{G. Koch} and \textit{J. Schropp}, Lect. Notes Math. 2102, 225--250 (2013; Zbl 1311.37076) Full Text: DOI
Delitala, Marcello; Lorenzi, Tommaso Recognition and learning in a mathematical model for immune response against cancer. (English) Zbl 1277.92012 Discrete Contin. Dyn. Syst., Ser. B 18, No. 4, 891-914 (2013). MSC: 92C50 45K05 37N25 PDF BibTeX XML Cite \textit{M. Delitala} and \textit{T. Lorenzi}, Discrete Contin. Dyn. Syst., Ser. B 18, No. 4, 891--914 (2013; Zbl 1277.92012) Full Text: DOI
Colin, Thierry; Iollo, Angelo; Lombardi, Damiano; Saut, Olivier System identification in tumor growth modeling using semi-empirical eigenfunctions. (English) Zbl 1398.92113 Math. Models Methods Appl. Sci. 22, No. 6, Paper No. 3, 30 p. (2012). MSC: 92C50 92C37 35Q92 PDF BibTeX XML Cite \textit{T. Colin} et al., Math. Models Methods Appl. Sci. 22, No. 6, Paper No. 3, 30 p. (2012; Zbl 1398.92113) Full Text: DOI
Yafia, Radouane A study of differential equation modeling malignant tumor cells in competition with immune system. (English) Zbl 1297.92028 Int. J. Biomath. 4, No. 2, 185-206 (2011). MSC: 92C37 34K18 34K20 PDF BibTeX XML Cite \textit{R. Yafia}, Int. J. Biomath. 4, No. 2, 185--206 (2011; Zbl 1297.92028) Full Text: DOI
Kolokotroni, E. A.; Dionysiou, D. D.; Uzunoglu, N. K.; Stamatakos, G. S. Studying the growth kinetics of untreated clinical tumors by using an advanced discrete simulation model. (English) Zbl 1235.92026 Math. Comput. Modelling 54, No. 9-10, 1989-2006 (2011). MSC: 92C50 92-08 65C20 PDF BibTeX XML Cite \textit{E. A. Kolokotroni} et al., Math. Comput. Modelling 54, No. 9--10, 1989--2006 (2011; Zbl 1235.92026) Full Text: DOI
Bresch, Didier; Colin, Thierry; Grenier, Emmanuel; Ribba, Benjamin; Saut, Olivier Computational modeling of solid tumor growth: the avascular stage. (English) Zbl 1214.92039 SIAM J. Sci. Comput. 32, No. 4, 2321-2344 (2010). MSC: 92C50 35Q92 76D07 76Z99 65C20 76M20 PDF BibTeX XML Cite \textit{D. Bresch} et al., SIAM J. Sci. Comput. 32, No. 4, 2321--2344 (2010; Zbl 1214.92039) Full Text: DOI
Billy, Frédérique; Ribba, Benjamin; Saut, Olivier; Morre-Trouilhet, Hélène; Colin, Thierry; Bresch, Didier; Boissel, Jean-Pierre; Grenier, Emmanuel; Flandrois, Jean-Pierre A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy. (English) Zbl 1402.92050 J. Theor. Biol. 260, No. 4, 545-562 (2009). MSC: 92C15 92C50 92C37 35Q92 PDF BibTeX XML Cite \textit{F. Billy} et al., J. Theor. Biol. 260, No. 4, 545--562 (2009; Zbl 1402.92050) Full Text: DOI
Rockne, R.; Alvord, E. C. jun.; Rockhill, J. K.; Swanson, K. R. A mathematical model for brain tumor response to radiation therapy. (English) Zbl 1311.92108 J. Math. Biol. 58, No. 4-5, 561-578 (2009). MSC: 92C50 PDF BibTeX XML Cite \textit{R. Rockne} et al., J. Math. Biol. 58, No. 4--5, 561--578 (2009; Zbl 1311.92108) Full Text: DOI
Zhang, Le; Wang, Zhihui; Sagotsky, Jonathan A.; Deisboeck, Thomas S. Multiscale agent-based cancer modeling. (English) Zbl 1311.92110 J. Math. Biol. 58, No. 4-5, 545-559 (2009). MSC: 92C50 PDF BibTeX XML Cite \textit{L. Zhang} et al., J. Math. Biol. 58, No. 4--5, 545--559 (2009; Zbl 1311.92110) Full Text: DOI
Bresch, Didier; Colin, Thierry; Grenier, Emmanuel; Ribba, Benjamin; Saut, Olivier A viscoelastic model for avascular tumor growth. (English) Zbl 1185.92059 Discrete Contin. Dyn. Syst. 2009, Suppl., 101-108 (2009). MSC: 92C50 92C37 76A10 PDF BibTeX XML Cite \textit{D. Bresch} et al., Discrete Contin. Dyn. Syst. 2009, 101--108 (2009; Zbl 1185.92059) Full Text: Link
Hinow, Peter; Gerlee, Philip; McCawley, Lisa J.; Quaranta, Vito; Ciobanu, Madalina; Wang, Shizhen; Graham, Jason M.; Ayati, Bruce P.; Claridge, Jonathan; Swanson, Kristin R.; Loveless, Mary; Anderson, Alexander R. A. A spatial model of tumor-host interaction: application of chemotherapy. (English) Zbl 1168.92026 Math. Biosci. Eng. 6, No. 3, 521-546 (2009). MSC: 92C50 92C17 35K57 35Q92 PDF BibTeX XML Cite \textit{P. Hinow} et al., Math. Biosci. Eng. 6, No. 3, 521--546 (2009; Zbl 1168.92026) Full Text: DOI
Xu, Yongzhi; Gilbert, Robert Some inverse problems raised from a mathematical model of ductal carcinoma in situ. (English) Zbl 1165.65388 Math. Comput. Modelling 49, No. 3-4, 814-828 (2009). MSC: 65M32 92C50 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{R. Gilbert}, Math. Comput. Modelling 49, No. 3--4, 814--828 (2009; Zbl 1165.65388) Full Text: DOI
Bajzer, Željko; Carr, Thomas; Josić, Krešimir; Russell, Stephen J.; Dingli, David Modeling of cancer virotherapy with recombinant measles viruses. (English) Zbl 1398.92108 J. Theor. Biol. 252, No. 1, 109-122 (2008). MSC: 92C50 92D25 34C23 PDF BibTeX XML Cite \textit{Ž. Bajzer} et al., J. Theor. Biol. 252, No. 1, 109--122 (2008; Zbl 1398.92108) Full Text: DOI
Delsanto, Pier P.; Condat, C. A.; Pugno, Nicola; Gliozzi, Antonio S.; Griffa, M. A multilevel approach to cancer growth modeling. (English) Zbl 1397.92322 J. Theor. Biol. 250, No. 1, 16-24 (2008). MSC: 92C50 92C37 PDF BibTeX XML Cite \textit{P. P. Delsanto} et al., J. Theor. Biol. 250, No. 1, 16--24 (2008; Zbl 1397.92322) Full Text: DOI
Izquierdo-Kulich, Elena; Nieto-Villar, Jose Manuel Morphogenesis of the tumor patterns. (English) Zbl 1156.92023 Math. Biosci. Eng. 5, No. 2, 299-313 (2008). MSC: 92C50 92C15 82C31 PDF BibTeX XML Cite \textit{E. Izquierdo-Kulich} and \textit{J. M. Nieto-Villar}, Math. Biosci. Eng. 5, No. 2, 299--313 (2008; Zbl 1156.92023) Full Text: DOI Link
Tosin, Andrea Multiphase modeling and qualitative analysis of the growth of tumor cords. (English) Zbl 1144.35476 Netw. Heterog. Media 3, No. 1, 43-83 (2008). MSC: 35R35 35Q80 92B05 92C37 PDF BibTeX XML Cite \textit{A. Tosin}, Netw. Heterog. Media 3, No. 1, 43--83 (2008; Zbl 1144.35476) Full Text: DOI Link arXiv
Bergues Cabrales, Luis Enrique; Ramírez Aguilera, Andrés; Placeres Jiménez, Rolando; Verdecia Jarque, Manuel; Camué Ciria, Héctor Manuel; Bory Reyes, Juan; O’Farril Mateus, Miguel Angel; Suárez Palencia, Fabiola; González Ávila, Marisela Mathematical modeling of tumor growth in mice following low-level direct electric current. (English) Zbl 1137.92319 Math. Comput. Simul. 78, No. 1, 112-120 (2008); corrigendum ibid. 144, 266 (2018). MSC: 92C50 92C05 PDF BibTeX XML Cite \textit{L. E. Bergues Cabrales} et al., Math. Comput. Simul. 78, No. 1, 112--120 (2008; Zbl 1137.92319) Full Text: DOI
Lin, Shili Mixture modeling of progression pathways of heterogeneous breast tumors. (English) Zbl 07286112 J. Theor. Biol. 249, No. 2, 254-261 (2007). MSC: 92C32 PDF BibTeX XML Cite \textit{S. Lin}, J. Theor. Biol. 249, No. 2, 254--261 (2007; Zbl 07286112) Full Text: DOI
Roose, Tiina; Chapman, S. Jonathan; Maini, Philip K. Mathematical models of avascular tumor growth. (English) Zbl 1117.93011 SIAM Rev. 49, No. 2, 179-208 (2007). MSC: 93A30 92B05 62P10 93C20 35K57 PDF BibTeX XML Cite \textit{T. Roose} et al., SIAM Rev. 49, No. 2, 179--208 (2007; Zbl 1117.93011) Full Text: DOI
Çetin, Eyüp Handling organ motion in radiotherapy of cancer via Markov chains. (English) Zbl 1109.92015 Appl. Math. Comput. 184, No. 2, 149-155 (2007). MSC: 92C50 90C90 60J20 PDF BibTeX XML Cite \textit{E. Çetin}, Appl. Math. Comput. 184, No. 2, 149--155 (2007; Zbl 1109.92015) Full Text: DOI
Venkatasubramanian, Raja; Henson, Michael A.; Forbes, Neil S. Incorporating energy metabolism into a growth model of multicellular tumor spheroids. (English) Zbl 1447.92108 J. Theor. Biol. 242, No. 2, 440-453 (2006). MSC: 92C32 92C37 35Q92 PDF BibTeX XML Cite \textit{R. Venkatasubramanian} et al., J. Theor. Biol. 242, No. 2, 440--453 (2006; Zbl 1447.92108) Full Text: DOI
Kohandel, M.; Sivaloganathan, S.; Oza, A. Mathematical modeling of ovarian cancer treatments: sequencing of surgery and chemotherapy. (English) Zbl 1447.92198 J. Theor. Biol. 242, No. 1, 62-68 (2006). MSC: 92C50 PDF BibTeX XML Cite \textit{M. Kohandel} et al., J. Theor. Biol. 242, No. 1, 62--68 (2006; Zbl 1447.92198) Full Text: DOI
Bartha, K.; Rieger, H. Vascular network remodeling via vessel cooption, regression and growth in tumors. (English) Zbl 1447.92083 J. Theor. Biol. 241, No. 4, 903-918 (2006). MSC: 92C32 92C35 PDF BibTeX XML Cite \textit{K. Bartha} and \textit{H. Rieger}, J. Theor. Biol. 241, No. 4, 903--918 (2006; Zbl 1447.92083) Full Text: DOI
de Pillis, L. G.; Gu, W.; Radunskaya, A. E. Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations. (English) Zbl 1445.92135 J. Theor. Biol. 238, No. 4, 841-862 (2006). MSC: 92C50 34C23 PDF BibTeX XML Cite \textit{L. G. de Pillis} et al., J. Theor. Biol. 238, No. 4, 841--862 (2006; Zbl 1445.92135) Full Text: DOI
Mansury, Yuri; Diggory, Mark; Deisboeck, Thomas S. Evolutionary game theory in an agent-based brain tumor model: exploring the ‘genotype-phenotype’ link. (English) Zbl 1445.92080 J. Theor. Biol. 238, No. 1, 146-156 (2006). MSC: 92C32 92C20 91A22 91A80 PDF BibTeX XML Cite \textit{Y. Mansury} et al., J. Theor. Biol. 238, No. 1, 146--156 (2006; Zbl 1445.92080) Full Text: DOI
Allegretto, W.; Cao, G.; Li, G.; Lin, Y. Numerical analysis of tumor model in steady state. (English) Zbl 1121.92036 Comput. Math. Appl. 52, No. 5, 593-606 (2006). MSC: 92C50 65M06 PDF BibTeX XML Cite \textit{W. Allegretto} et al., Comput. Math. Appl. 52, No. 5, 593--606 (2006; Zbl 1121.92036) Full Text: DOI
Hogea, Cosmina S.; Murray, Bruce T.; Sethian, James A. Implementation of the level set method for continuum mechanics based tumor growth models. (English) Zbl 1232.65122 FDMP, Fluid Dyn. Mater. Process. 1, No. 2, 109-130 (2005). MSC: 65M06 92C50 74L15 74S20 92C15 PDF BibTeX XML Cite \textit{C. S. Hogea} et al., FDMP, Fluid Dyn. Mater. Process. 1, No. 2, 109--130 (2005; Zbl 1232.65122) Full Text: DOI
Mansury, Yuri; Deisboeck, Thomas S. Simulating the time series of a selected gene expression profile in an agent-based tumor model. (English) Zbl 1053.92025 Physica D 196, No. 1-2, 193-204 (2004). MSC: 92C50 65C20 37M10 37N25 PDF BibTeX XML Cite \textit{Y. Mansury} and \textit{T. S. Deisboeck}, Physica D 196, No. 1--2, 193--204 (2004; Zbl 1053.92025) Full Text: DOI
Bellomo, Nicola; De Angelis, Elena; Preziosi, Luigi Multiscale modeling and mathematical problems related to tumor evolution and medical therapy. (English) Zbl 1107.92020 J. Theor. Med. 5, No. 2, 111-136 (2003). MSC: 92C50 49N90 93C20 PDF BibTeX XML Cite \textit{N. Bellomo} et al., J. Theor. Med. 5, No. 2, 111--136 (2003; Zbl 1107.92020) Full Text: DOI EuDML
Moreira, Joana; Deutsch, Andreas Cellular automaton models of tumor development: A critical review. (English) Zbl 1020.92016 Adv. Complex Syst. 5, No. 2-3, 247-267 (2002). MSC: 92C50 68Q80 92C15 PDF BibTeX XML Cite \textit{J. Moreira} and \textit{A. Deutsch}, Adv. Complex Syst. 5, No. 2--3, 247--267 (2002; Zbl 1020.92016) Full Text: DOI
Eisenfeld, J. (ed.); Levine, D. S. (ed.) Biomedical systems modelling and simulation. IMACS transactions on scientific computing ’88. Papers presented at the 12th IMACS world congress on scientific computation, held in Paris, France, in July 1988. (English) Zbl 0743.92001 IMACS Annals on Computing and Applied Mathematics. 5, No. 1-4. Basel: J. C. Baltzer AG. 207 p. (1989). MSC: 92B05 92C20 92-06 92-08 92C50 92C40 92D30 PDF BibTeX XML Cite \textit{J. Eisenfeld} (ed.) and \textit{D. S. Levine} (ed.), Biomedical systems modelling and simulation. IMACS transactions on scientific computing '88. Papers presented at the 12th IMACS world congress on scientific computation, held in Paris, France, in July 1988. Basel: J. C. Baltzer AG (1989; Zbl 0743.92001)