Leslie, Trevor M.; Tan, Changhui Finite- and infinite-time cluster formation for alignment dynamics on the real line. (English) Zbl 07806036 J. Evol. Equ. 24, No. 1, Paper No. 8, 45 p. (2024). MSC: 35Q31 35Q35 35Q92 76B03 81V45 92D25 35B30 35D30 35B40 35B65 35B50 35A21 35A01 35A02 PDFBibTeX XMLCite \textit{T. M. Leslie} and \textit{C. Tan}, J. Evol. Equ. 24, No. 1, Paper No. 8, 45 p. (2024; Zbl 07806036) Full Text: DOI arXiv
Menci, Marta; Natalini, Roberto; Paul, Thierry Microscopic, kinetic and hydrodynamic hybrid models of collective motions with chemotaxis: a numerical study. (English) Zbl 07803504 Math. Mech. Complex Syst. 12, No. 1, 47-83 (2024). MSC: 92-08 92C17 35Q83 35Q92 65M06 82C22 PDFBibTeX XMLCite \textit{M. Menci} et al., Math. Mech. Complex Syst. 12, No. 1, 47--83 (2024; Zbl 07803504) Full Text: DOI arXiv
Hou, Qianqian Boundary layer problem on the chemotaxis model with Robin boundary conditions. (English) Zbl 1528.35007 Discrete Contin. Dyn. Syst. 44, No. 2, 378-424 (2024). MSC: 35B25 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{Q. Hou}, Discrete Contin. Dyn. Syst. 44, No. 2, 378--424 (2024; Zbl 1528.35007) Full Text: DOI arXiv
Lopes, Juliana Honda; Planas, Gabriela Existence of weak solutions for a nonhomogeneous incompressible cell-fluid Navier-Stokes model with chemotaxis. (English) Zbl 07784835 Math. Methods Appl. Sci. 46, No. 13, 13695-13715 (2023). MSC: 35Q35 76D05 92C17 PDFBibTeX XMLCite \textit{J. H. Lopes} and \textit{G. Planas}, Math. Methods Appl. Sci. 46, No. 13, 13695--13715 (2023; Zbl 07784835) Full Text: DOI
He, Qingyou; Li, Hai-Liang; Perthame, Benoît Incompressible limits of the Patlak-Keller-Segel model and its stationary state. (English) Zbl 07783683 Acta Appl. Math. 188, Paper No. 11, 53 p. (2023). MSC: 35B45 35K59 35K65 35R09 76N10 92C17 PDFBibTeX XMLCite \textit{Q. He} et al., Acta Appl. Math. 188, Paper No. 11, 53 p. (2023; Zbl 07783683) Full Text: DOI arXiv
Ramaj, Tedi; Zou, Xingfu On the treatment of melanoma: a mathematical model of oncolytic virotherapy. (English) Zbl 07776290 Math. Biosci. 365, Article ID 109073, 23 p. (2023). MSC: 92C50 34C60 PDFBibTeX XMLCite \textit{T. Ramaj} and \textit{X. Zou}, Math. Biosci. 365, Article ID 109073, 23 p. (2023; Zbl 07776290) Full Text: DOI arXiv
Albritton, Dallas; Ohm, Laurel On the stabilizing effect of swimming in an active suspension. (English) Zbl 1527.35256 SIAM J. Math. Anal. 55, No. 6, 6093-6132 (2023). MSC: 35Q35 35Q92 76Z10 92C17 76T20 76E30 PDFBibTeX XMLCite \textit{D. Albritton} and \textit{L. Ohm}, SIAM J. Math. Anal. 55, No. 6, 6093--6132 (2023; Zbl 1527.35256) Full Text: DOI arXiv
Qiao, Shao-Xia; Li, Wan-Tong; Sun, Jian-Wen Propagation phenomena for nonlocal dispersal equations in exterior domains. (English) Zbl 1516.35029 J. Dyn. Differ. Equations 35, No. 2, 1099-1131 (2023). MSC: 35B08 35K57 35R09 92D25 PDFBibTeX XMLCite \textit{S.-X. Qiao} et al., J. Dyn. Differ. Equations 35, No. 2, 1099--1131 (2023; Zbl 1516.35029) Full Text: DOI arXiv
Wei, Chaozhen; Wu, Min An Eulerian nonlinear elastic model for compressible and fluidic tissue with radially symmetric growth. (English) Zbl 1512.35574 SIAM J. Appl. Math. 83, No. 1, 254-275 (2023). MSC: 35Q74 35Q92 74L15 74B20 92-10 92C10 92C37 76A10 76N06 PDFBibTeX XMLCite \textit{C. Wei} and \textit{M. Wu}, SIAM J. Appl. Math. 83, No. 1, 254--275 (2023; Zbl 1512.35574) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{X. Dou} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1964--1992 (2023; Zbl 1502.35178) Full Text: DOI arXiv
Etheridge, Alison M.; Gooding, Mitchel D.; Letter, Ian On the effects of a wide opening in the domain of the (stochastic) Allen-Cahn equation and the motion of hybrid zones. (English) Zbl 1511.60101 Electron. J. Probab. 27, Paper No. 161, 53 p. (2022). MSC: 60H30 60J70 60J85 92D15 PDFBibTeX XMLCite \textit{A. M. Etheridge} et al., Electron. J. Probab. 27, Paper No. 161, 53 p. (2022; Zbl 1511.60101) Full Text: DOI arXiv
Ghazani, Mehran Akbarpour; Soltani, M.; Jalali, Peyman; Hassannejad, Reza A novel numerical and artificial intelligence based approach to study anti-angiogenic drugs: endostatin. (English) Zbl 1505.92061 Appl. Math. Modelling 105, 258-283 (2022). MSC: 92C40 92C50 68T07 PDFBibTeX XMLCite \textit{M. A. Ghazani} et al., Appl. Math. Modelling 105, 258--283 (2022; Zbl 1505.92061) 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 PDFBibTeX XMLCite \textit{G.-A. Zou} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2141--2180 (2022; Zbl 1503.65255) Full Text: DOI
Bellomo, N.; Outada, N.; Soler, J.; Tao, Y.; Winkler, M. Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. (English) Zbl 1497.35039 Math. Models Methods Appl. Sci. 32, No. 4, 713-792 (2022). Reviewer: Lingeshwaran Shangerganesh (Ponda) MSC: 35B36 35B40 35B44 35K51 35K57 35Q35 92C17 91D10 PDFBibTeX XMLCite \textit{N. Bellomo} et al., Math. Models Methods Appl. Sci. 32, No. 4, 713--792 (2022; Zbl 1497.35039) Full Text: DOI
Alonzo, Flavien; Serandour, Aurelien A.; Saad, Mazen Simulating the behaviour of glioblastoma multiforme based on patient MRI during treatments. (English) Zbl 1490.92017 J. Math. Biol. 84, No. 6, Paper No. 44, 38 p. (2022). MSC: 92C32 92C50 92C55 65M60 35Q92 PDFBibTeX XMLCite \textit{F. Alonzo} et al., J. Math. Biol. 84, No. 6, Paper No. 44, 38 p. (2022; Zbl 1490.92017) Full Text: DOI
Alqarni, Awatif Jahman; Rambely, Azmin Sham; Alharbi, Sana Abdulkream; Hashim, Ishak Dynamic behavior and stabilization of brain cell reconstitution after stroke under the proliferation and differentiation processes for stem cells. (English) Zbl 1501.92011 Math. Biosci. Eng. 18, No. 5, 6288-6304 (2021). MSC: 92C32 92B20 PDFBibTeX XMLCite \textit{A. J. Alqarni} et al., Math. Biosci. Eng. 18, No. 5, 6288--6304 (2021; Zbl 1501.92011) Full Text: DOI
Colin, Thierry; Michel, Thomas; Poignard, Clair Mathematical modeling of gastro-intestinal metastasis resistance to tyrosine kinase inhibitors. (English) Zbl 1497.92110 Suzuki, Takashi (ed.) et al., Methods of mathematical oncology. Fusion of mathematics and biology. Selected papers based on the presentations at the symposium, Osaka, Japan, October 26–28, 2020. Singapore: Springer. Springer Proc. Math. Stat. 370, 15-49 (2021). MSC: 92C50 35B40 35Q92 92C10 92-10 PDFBibTeX XMLCite \textit{T. Colin} et al., Springer Proc. Math. Stat. 370, 15--49 (2021; Zbl 1497.92110) Full Text: DOI
David, Noemi; Perthame, Benoît Free boundary limit of a tumor growth model with nutrient. (English. French summary) Zbl 1478.35210 J. Math. Pures Appl. (9) 155, 62-82 (2021). MSC: 35Q92 92C37 35B45 35K57 35K65 76N10 76D27 76S05 76T99 35R35 PDFBibTeX XMLCite \textit{N. David} and \textit{B. Perthame}, J. Math. Pures Appl. (9) 155, 62--82 (2021; Zbl 1478.35210) Full Text: DOI arXiv HAL
Alishzadeh Khoei, Amir; Zakerzadeh, Mohammadreza; Ayati, Moosa; Soleimani, Neda Developing and studying the dynamical behavior of a nonlinear mathematical model for cancers with tumor by considering immune system role. (English) Zbl 1475.92044 Int. J. Biomath. 14, No. 5, Article ID 2050056, 30 p. (2021). MSC: 92C32 34C60 PDFBibTeX XMLCite \textit{A. Alishzadeh Khoei} et al., Int. J. Biomath. 14, No. 5, Article ID 2050056, 30 p. (2021; Zbl 1475.92044) Full Text: DOI
Conte, Martina; Surulescu, Christina Mathematical modeling of glioma invasion: acid- and vasculature mediated go-or-grow dichotomy and the influence of tissue anisotropy. (English) Zbl 1510.92036 Appl. Math. Comput. 407, Article ID 126305, 28 p. (2021). MSC: 92C17 92C37 35Q92 92-10 PDFBibTeX XMLCite \textit{M. Conte} and \textit{C. Surulescu}, Appl. Math. Comput. 407, Article ID 126305, 28 p. (2021; Zbl 1510.92036) Full Text: DOI arXiv
Amato, Sara; Arnold, Andrea Modeling microglia activation and inflammation-based neuroprotectant strategies during ischemic stroke. (English) Zbl 1467.92052 Bull. Math. Biol. 83, No. 6, Paper No. 72, 27 p. (2021). MSC: 92C32 92C20 PDFBibTeX XMLCite \textit{S. Amato} and \textit{A. Arnold}, Bull. Math. Biol. 83, No. 6, Paper No. 72, 27 p. (2021; Zbl 1467.92052) Full Text: DOI arXiv
Collin, Annabelle; Groza, Vladimir; Missenard, Louise; Chomy, François; Colin, Thierry; Palussière, Jean; Saut, Olivier A model-strengthened imaging biomarker for survival prediction in EGFR-mutated non-small-cell lung carcinoma patients treated with tyrosine kinase inhibitors. (English) Zbl 1470.92165 Bull. Math. Biol. 83, No. 6, Paper No. 68, 18 p. (2021). Reviewer: Fritz Keinert (Ames) MSC: 92C55 PDFBibTeX XMLCite \textit{A. Collin} et al., Bull. Math. Biol. 83, No. 6, Paper No. 68, 18 p. (2021; Zbl 1470.92165) Full Text: DOI HAL
Collin, Annabelle; Kritter, Thibaut; Poignard, Clair; Saut, Olivier Joint state-parameter estimation for tumor growth model. (English) Zbl 1485.92033 SIAM J. Appl. Math. 81, No. 2, 355-377 (2021). Reviewer: Luisa Consiglieri (Lisboa) MSC: 92C32 35Q92 35R30 93B07 92C37 92C55 PDFBibTeX XMLCite \textit{A. Collin} et al., SIAM J. Appl. Math. 81, No. 2, 355--377 (2021; Zbl 1485.92033) Full Text: DOI
Lorenzi, T.; Macfarlane, F. R.; Villa, C. Discrete and continuum models for the evolutionary and spatial dynamics of cancer: a very short introduction through two case studies. (English) Zbl 1480.92106 Mondaini, Rubem P. (ed.), Trends in biomathematics: modeling cells, flows, epidemics, and the environment. Selected works presented at the 19th BIOMAT consortium lectures, Szeged, Hungary, October 21–25, 2019. Cham: Springer. 359-380 (2020). MSC: 92C50 92C37 92D15 PDFBibTeX XMLCite \textit{T. Lorenzi} et al., in: Trends in biomathematics: modeling cells, flows, epidemics, and the environment. Selected works presented at the 19th BIOMAT consortium lectures, Szeged, Hungary, October 21--25, 2019. Cham: Springer. 359--380 (2020; Zbl 1480.92106) Full Text: DOI arXiv
Everett, Rebecca; Flores, Kevin B.; Henscheid, Nick; Lagergren, John; Larripa, Kamila; Li, Ding; Nardini, John T.; Nguyen, Phuong T. T.; Pitman, E. Bruce; Rutter, Erica M. A tutorial review of mathematical techniques for quantifying tumor heterogeneity. (English) Zbl 1467.92056 Math. Biosci. Eng. 17, No. 4, 3660-3709 (2020). MSC: 92C32 92-02 92-01 92-08 PDFBibTeX XMLCite \textit{R. Everett} et al., Math. Biosci. Eng. 17, No. 4, 3660--3709 (2020; Zbl 1467.92056) 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 PDFBibTeX XMLCite \textit{A. Perrillat-Mercerot} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 8, 2165--2193 (2020; Zbl 1451.92104) Full Text: DOI
Qiao, Yangyang; Evje, Steinar A general cell-fluid Navier-Stokes model with inclusion of chemotaxis. (English) Zbl 1445.35289 Math. Models Methods Appl. Sci. 30, No. 6, 1167-1215 (2020). MSC: 35Q92 92C17 76T99 76D05 PDFBibTeX XMLCite \textit{Y. Qiao} and \textit{S. Evje}, Math. Models Methods Appl. Sci. 30, No. 6, 1167--1215 (2020; Zbl 1445.35289) Full Text: DOI
Lorenzi, Tommaso; Murray, Philip J.; Ptashnyk, Mariya From individual-based mechanical models of multicellular systems to free-boundary problems. (English) Zbl 1446.35225 Interfaces Free Bound. 22, No. 2, 205-244 (2020). MSC: 35Q92 92C10 35C07 35R35 92-08 35A01 35R09 92C37 74B20 PDFBibTeX XMLCite \textit{T. Lorenzi} et al., Interfaces Free Bound. 22, No. 2, 205--244 (2020; Zbl 1446.35225) Full Text: DOI arXiv
Perthame, Benoît Models of cell motion and tissue growth. (English) Zbl 1445.74043 Ambrosi, Davide (ed.) et al., The mathematics of mechanobiology. Cetraro, Italy, August 27–31, 2018. Lecture notes given at the CIME course. Cham: Springer. Lect. Notes Math. 2260, 43-80 (2020). MSC: 74L15 92C17 35Q74 35Q92 PDFBibTeX XMLCite \textit{B. Perthame}, Lect. Notes Math. 2260, 43--80 (2020; Zbl 1445.74043) Full Text: DOI
Degond, Pierre; Hecht, Sophie; Vauchelet, Nicolas Incompressible limit of a continuum model of tissue growth for two cell populations. (English) Zbl 1445.35285 Netw. Heterog. Media 15, No. 1, 57-85 (2020). MSC: 35Q92 35R35 65M08 74S10 74L15 92C10 92C15 PDFBibTeX XMLCite \textit{P. Degond} et al., Netw. Heterog. Media 15, No. 1, 57--85 (2020; Zbl 1445.35285) Full Text: DOI arXiv
Bubba, Federica; Perthame, Benoît; Pouchol, Camille; Schmidtchen, Markus Hele-Shaw limit for a system of two reaction-(Cross-)diffusion equations for living tissues. (English) Zbl 1435.35390 Arch. Ration. Mech. Anal. 236, No. 2, 735-766 (2020). MSC: 35Q92 35R35 92C37 92D25 92C50 76S05 76N06 35M10 35L65 PDFBibTeX XMLCite \textit{F. Bubba} et al., Arch. Ration. Mech. Anal. 236, No. 2, 735--766 (2020; Zbl 1435.35390) Full Text: DOI arXiv
Atsou, Kevin; Anjuère, Fabienne; Braud, Véronique M.; Goudon, Thierry A size and space structured model describing interactions of tumor cells with immune cells reveals cancer persistent equilibrium states in tumorigenesis. (English) Zbl 1430.92022 J. Theor. Biol. 490, Article ID 110163, 22 p. (2020). MSC: 92C32 92C50 92C37 92C17 35Q92 PDFBibTeX XMLCite \textit{K. Atsou} et al., J. Theor. Biol. 490, Article ID 110163, 22 p. (2020; Zbl 1430.92022) Full Text: DOI
Chaplain, Mark A. J.; Lorenzi, Tommaso; Macfarlane, Fiona R. Bridging the gap between individual-based and continuum models of growing cell populations. (English) Zbl 1432.92007 J. Math. Biol. 80, No. 1-2, 343-371 (2020). MSC: 92C15 92C17 35Q92 35C07 PDFBibTeX XMLCite \textit{M. A. J. Chaplain} et al., J. Math. Biol. 80, No. 1--2, 343--371 (2020; Zbl 1432.92007) Full Text: DOI arXiv Link
Chaplain, Mark A. J.; Giverso, Chiara; Lorenzi, Tommaso; Preziosi, Luigi Derivation and application of effective interface conditions for continuum mechanical models of cell invasion through thin membranes. (English) Zbl 1428.35619 SIAM J. Appl. Math. 79, No. 5, 2011-2031 (2019). MSC: 35Q92 35R05 92C10 92C17 92C37 74L15 74K15 PDFBibTeX XMLCite \textit{M. A. J. Chaplain} et al., SIAM J. Appl. Math. 79, No. 5, 2011--2031 (2019; Zbl 1428.35619) Full Text: DOI arXiv
Gwiazda, Piotr; Perthame, Benoît; Świerczewska-Gwiazda, Agnieszka A two-species hyperbolic-parabolic model of tissue growth. (English) Zbl 1425.35198 Commun. Partial Differ. Equations 44, No. 12, 1605-1618 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K65 35B45 76N10 35K55 35K57 92C37 PDFBibTeX XMLCite \textit{P. Gwiazda} et al., Commun. Partial Differ. Equations 44, No. 12, 1605--1618 (2019; Zbl 1425.35198) Full Text: DOI arXiv
Hou, Qianqian; Wang, Zhian Convergence of boundary layers for the Keller-Segel system with singular sensitivity in the half-plane. (English. French summary) Zbl 1428.35022 J. Math. Pures Appl. (9) 130, 251-287 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35B25 35Q92 92C17 35K57 35K51 PDFBibTeX XMLCite \textit{Q. Hou} and \textit{Z. Wang}, J. Math. Pures Appl. (9) 130, 251--287 (2019; Zbl 1428.35022) Full Text: DOI
Chen, Ying; Lowengrub, John S. Tumor growth and calcification in evolving microenvironmental geometries. (English) Zbl 1406.92287 J. Theor. Biol. 463, 138-154 (2019). MSC: 92C50 92C37 35Q92 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. S. Lowengrub}, J. Theor. Biol. 463, 138--154 (2019; Zbl 1406.92287) Full Text: DOI Link
Figalli, Alessio; Kang, Moon-Jin A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment. (English) Zbl 1405.35206 Anal. PDE 12, No. 3, 843-866 (2019). MSC: 35Q70 35B25 35Q31 92C15 70B05 35Q92 PDFBibTeX XMLCite \textit{A. Figalli} and \textit{M.-J. Kang}, Anal. PDE 12, No. 3, 843--866 (2019; Zbl 1405.35206) Full Text: DOI arXiv
Michel, T.; Fehrenbach, J.; Lobjois, V.; Laurent, J.; Gomes, A.; Colin, T.; Poignard, Clair Mathematical modeling of the proliferation gradient in multicellular tumor spheroids. (English) Zbl 1406.92059 J. Theor. Biol. 458, 133-147 (2018). MSC: 92C15 92C37 35Q92 PDFBibTeX XMLCite \textit{T. Michel} et al., J. Theor. Biol. 458, 133--147 (2018; Zbl 1406.92059) Full Text: DOI HAL
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 PDFBibTeX XMLCite \textit{G. Dechristé} et al., J. Theor. Biol. 454, 102--109 (2018; Zbl 1406.92291) Full Text: DOI HAL
Caudill, Lester; Lynch, Fiona A mathematical model of the inflammatory response to pathogen challenge. (English) Zbl 1398.92148 Bull. Math. Biol. 80, No. 8, 2242-2271 (2018). MSC: 92C60 PDFBibTeX XMLCite \textit{L. Caudill} and \textit{F. Lynch}, Bull. Math. Biol. 80, No. 8, 2242--2271 (2018; Zbl 1398.92148) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{Y. He} et al., Bull. Math. Biol. 80, No. 8, 2026--2048 (2018; Zbl 1398.92117) Full Text: DOI
Kim, Inwon; Turanova, Olga Uniform convergence for the incompressible limit of a tumor growth model. (English) Zbl 1390.35374 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 5, 1321-1354 (2018). MSC: 35Q92 92C17 92C37 92C50 PDFBibTeX XMLCite \textit{I. Kim} and \textit{O. Turanova}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 5, 1321--1354 (2018; Zbl 1390.35374) Full Text: DOI arXiv
Curtis, Louis T.; van Berkel, Victor H.; Frieboes, Hermann B. Pharmacokinetic/pharmacodynamic modeling of combination-chemotherapy for lung cancer. (English) Zbl 1397.92279 J. Theor. Biol. 448, 38-52 (2018). MSC: 92C45 92C50 PDFBibTeX XMLCite \textit{L. T. Curtis} et al., J. Theor. Biol. 448, 38--52 (2018; Zbl 1397.92279) Full Text: DOI Link
Hou, Qianqian; Liu, Cheng-Jie; Wang, Ya-Guang; Wang, Zhian Stability of boundary layers for a viscous hyperbolic system arising from chemotaxis: one-dimensional case. (English) Zbl 1394.35025 SIAM J. Math. Anal. 50, No. 3, 3058-3091 (2018). MSC: 35B25 35A01 35B40 35B44 35K57 35Q92 92C17 PDFBibTeX XMLCite \textit{Q. Hou} et al., SIAM J. Math. Anal. 50, No. 3, 3058--3091 (2018; Zbl 1394.35025) Full Text: DOI
Clairambault, Jean; Perthame, Benoît; Maran, Andrada Quillas Analysis of a system describing proliferative-quiescent cell dynamics. (English) Zbl 1390.37143 Chin. Ann. Math., Ser. B 39, No. 2, 345-356 (2018). Reviewer: Carlo Laing (Auckland) MSC: 37N25 92D25 92C17 92C50 PDFBibTeX XMLCite \textit{J. Clairambault} et al., Chin. Ann. Math., Ser. B 39, No. 2, 345--356 (2018; Zbl 1390.37143) Full Text: DOI HAL
Motsch, Sebastien; Peurichard, Diane From short-range repulsion to Hele-Shaw problem in a model of tumor growth. (English) Zbl 1432.35204 J. Math. Biol. 76, No. 1-2, 205-234 (2018). MSC: 35Q92 92C42 35B25 35K55 76D27 82C22 92C15 PDFBibTeX XMLCite \textit{S. Motsch} and \textit{D. Peurichard}, J. Math. Biol. 76, No. 1--2, 205--234 (2018; Zbl 1432.35204) Full Text: DOI arXiv
Laranjeira, Simão; Symmonds, Mkael; Palace, Jacqueline; Payne, Stephen J.; Orlowski, Piotr A mathematical model of cellular swelling in neuromyelitis optica. (English) Zbl 1393.92022 J. Theor. Biol. 433, 39-48 (2017). MSC: 92C50 92C37 92C20 PDFBibTeX XMLCite \textit{S. Laranjeira} et al., J. Theor. Biol. 433, 39--48 (2017; Zbl 1393.92022) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{C. F. Ng} and \textit{H. B. Frieboes}, J. Theor. Biol. 430, 245--282 (2017; Zbl 1382.92166) Full Text: DOI Link
Gallinato, Olivier; Colin, Thierry; Saut, Olivier; Poignard, Clair Tumor growth model of ductal carcinoma: from in situ phase to stroma invasion. (English) Zbl 1382.92162 J. Theor. Biol. 429, 253-266 (2017). MSC: 92C50 PDFBibTeX XMLCite \textit{O. Gallinato} et al., J. Theor. Biol. 429, 253--266 (2017; Zbl 1382.92162) Full Text: DOI
Bastogne, T.; Marchand, J.-L.; Pinel, S.; Vallois, P. A branching process model of heterogeneous DNA damages caused by radiotherapy in in vitro cell cultures. (English) Zbl 1382.92122 Math. Biosci. 294, 100-109 (2017). MSC: 92C40 92C50 60J85 PDFBibTeX XMLCite \textit{T. Bastogne} et al., Math. Biosci. 294, 100--109 (2017; Zbl 1382.92122) Full Text: DOI
Leroy-Lerêtre, Mathieu; Dimarco, Giacomo; Cazales, Martine; Boizeau, Marie-Laure; Ducommun, Bernard; Lobjois, Valérie; Degond, Pierre Are tumor cell lineages solely shaped by mechanical forces? (English) Zbl 1378.92033 Bull. Math. Biol. 79, No. 10, 2356-2393 (2017). MSC: 92C50 92C37 92C10 PDFBibTeX XMLCite \textit{M. Leroy-Lerêtre} et al., Bull. Math. Biol. 79, No. 10, 2356--2393 (2017; Zbl 1378.92033) Full Text: DOI arXiv
Donatelli, Donatella; Trivisa, Konstantina On a nonlinear model for tumor growth in a cellular medium. (English) Zbl 1391.35312 J. Dyn. Differ. Equations 29, No. 3, 833-861 (2017). Reviewer: Thomas Hagen (Memphis) MSC: 35Q30 76N10 46E35 35B30 35Q92 92C37 76S05 PDFBibTeX XMLCite \textit{D. Donatelli} and \textit{K. Trivisa}, J. Dyn. Differ. Equations 29, No. 3, 833--861 (2017; Zbl 1391.35312) Full Text: DOI
Bogdańska, M. U.; Bodnar, M.; Belmonte-Beitia, J.; Murek, M.; Schucht, P.; Beck, J.; Pérez-García, V. M. A mathematical model of low grade gliomas treated with temozolomide and its therapeutical implications. (English) Zbl 1377.92043 Math. Biosci. 288, 1-13 (2017). MSC: 92C50 92C45 34B37 PDFBibTeX XMLCite \textit{M. U. Bogdańska} et al., Math. Biosci. 288, 1--13 (2017; Zbl 1377.92043) Full Text: DOI arXiv
Mellet, Antoine; Perthame, Benoît; Quirós, Fernando A Hele-Shaw problem for tumor growth. (English) Zbl 1377.35245 J. Funct. Anal. 273, No. 10, 3061-3093 (2017). MSC: 35Q92 35K55 35B25 76D27 92C17 92C50 35Q35 76S05 PDFBibTeX XMLCite \textit{A. Mellet} et al., J. Funct. Anal. 273, No. 10, 3061--3093 (2017; Zbl 1377.35245) Full Text: DOI arXiv
Carrère, Cécile Optimization of an in vitro chemotherapy to avoid resistant tumours. (English) Zbl 1368.92081 J. Theor. Biol. 413, 24-33 (2017). MSC: 92C50 49N90 PDFBibTeX XMLCite \textit{C. Carrère}, J. Theor. Biol. 413, 24--33 (2017; Zbl 1368.92081) Full Text: DOI
Bresch, Didier; Jabin, Pierre-Emmanuel Global weak solutions of PDEs for compressible media: a compactness criterion to cover new physical situations. (English) Zbl 1371.35192 Colombini, Ferruccio (ed.) et al., Shocks, singularities and oscillations in nonlinear optics and fluid mechanics. Papers based on the workshop, Rome, Italy, September 2015. Cham: Springer (ISBN 978-3-319-52041-4/hbk; 978-3-319-52042-1/ebook). Springer INdAM Series 17, 33-54 (2017). MSC: 35Q30 76N15 35D30 76S05 92C37 PDFBibTeX XMLCite \textit{D. Bresch} and \textit{P.-E. Jabin}, Springer INdAM Ser. 17, 33--54 (2017; Zbl 1371.35192) Full Text: DOI arXiv
Guiraldello, Rafael T.; Martins, Marcelo L.; Mancera, Paulo F. A. Evaluating the efficacies of maximum tolerated dose and metronomic chemotherapies: a mathematical approach. (English) Zbl 1400.92257 Physica A 456, 145-156 (2016). MSC: 92C50 35K51 35Q92 92C45 PDFBibTeX XMLCite \textit{R. T. Guiraldello} et al., Physica A 456, 145--156 (2016; Zbl 1400.92257) Full Text: DOI Link
Tarfulea, Nicoleta Mathematical modeling of VEGF binding, production, and release in angiogenesis. (English) Zbl 1355.92053 Bélair, Jacques (ed.) et al., Mathematical and computational approaches in advancing modern science and engineering. Based on the international conference on applied mathematics, modeling and computational science, AMMCS, jointly held with the annual meeting of the Canadian applied and industrial mathematics, CAIMS, June 7–15, 2015. Cham: Springer (ISBN 978-3-319-30377-2/hbk; 978-3-319-30379-6/ebook). 319-329 (2016). MSC: 92C50 92C40 PDFBibTeX XMLCite \textit{N. Tarfulea}, in: Mathematical and computational approaches in advancing modern science and engineering. Based on the international conference on applied mathematics, modeling and computational science, AMMCS, jointly held with the annual meeting of the Canadian applied and industrial mathematics, CAIMS, June 7--15, 2015. Cham: Springer. 319--329 (2016; Zbl 1355.92053) Full Text: DOI
Hou, Qianqian; Wang, Zhi-An; Zhao, Kun Boundary layer problem on a hyperbolic system arising from chemotaxis. (English) Zbl 1347.35021 J. Differ. Equations 261, No. 9, 5035-5070 (2016). MSC: 35B25 35B40 35B44 35Q92 92C17 PDFBibTeX XMLCite \textit{Q. Hou} et al., J. Differ. Equations 261, No. 9, 5035--5070 (2016; Zbl 1347.35021) Full Text: DOI
Hutchinson, L. G.; Gaffney, E. A.; Maini, P. K.; Wagg, J.; Phipps, A.; Byrne, H. M. Vascular phenotype identification and anti-angiogenic treatment recommendation: a pseudo-multiscale mathematical model of angiogenesis. (English) Zbl 1343.92226 J. Theor. Biol. 398, 162-180 (2016). MSC: 92C50 92C15 PDFBibTeX XMLCite \textit{L. G. Hutchinson} et al., J. Theor. Biol. 398, 162--180 (2016; Zbl 1343.92226) Full Text: DOI
Aymard, B.; Clément, F.; Monniaux, D.; Postel, M. Cell-kinetics based calibration of a multiscale model of structured cell populations in ovarian follicles. (English) Zbl 1342.92066 SIAM J. Appl. Math. 76, No. 4, 1471-1491 (2016). MSC: 92C37 35Q92 PDFBibTeX XMLCite \textit{B. Aymard} et al., SIAM J. Appl. Math. 76, No. 4, 1471--1491 (2016; Zbl 1342.92066) Full Text: DOI
Perthame, Benoît; Vauchelet, Nicolas Incompressible limit of a mechanical model of tumour growth with viscosity. (English) Zbl 1353.35294 Philos. Trans. A, R. Soc. Lond. 373, No. 2050, Article ID 20140283, 16 p. (2015). MSC: 35Q92 92C30 35C07 35M30 92C50 92-08 PDFBibTeX XMLCite \textit{B. Perthame} and \textit{N. Vauchelet}, Philos. Trans. A, R. Soc. Lond. 373, No. 2050, Article ID 20140283, 16 p. (2015; Zbl 1353.35294) Full Text: DOI arXiv
Ha, Seung-Yeal; Kang, Moon-Jin; Kwon, Bongsuk Emergent dynamics for the hydrodynamic Cucker-Smale system in a moving domain. (English) Zbl 1330.35304 SIAM J. Math. Anal. 47, No. 5, 3813-3831 (2015). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q31 92C15 35A01 35A09 35B40 35Q35 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., SIAM J. Math. Anal. 47, No. 5, 3813--3831 (2015; Zbl 1330.35304) Full Text: DOI Link
Bertozzi, Andrea L.; Rosado, Jesus; Short, Martin B.; Wang, Li Contagion shocks in one dimension. (English) Zbl 1318.35135 J. Stat. Phys. 158, No. 3, 647-664 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q92 35L65 90B20 92C15 PDFBibTeX XMLCite \textit{A. L. Bertozzi} et al., J. Stat. Phys. 158, No. 3, 647--664 (2015; Zbl 1318.35135) Full Text: DOI Link
Guerrero, P.; Alarcón, T. Stochastic multiscale models of cell population dynamics: asymptotic and numerical methods. (English) Zbl 1325.92058 Math. Model. Nat. Phenom. 10, No. 1, 64-93 (2015). MSC: 92C99 92C37 92D25 PDFBibTeX XMLCite \textit{P. Guerrero} and \textit{T. Alarcón}, Math. Model. Nat. Phenom. 10, No. 1, 64--93 (2015; Zbl 1325.92058) Full Text: DOI Link
Lima, Ernesto A. B. F.; Almeida, Regina C.; Oden, J. Tinsley Analysis and numerical solution of stochastic phase-field models of tumor growth. (English) Zbl 1326.92041 Numer. Methods Partial Differ. Equations 31, No. 2, 552-574 (2015). MSC: 92C50 65M60 65M75 PDFBibTeX XMLCite \textit{E. A. B. F. Lima} et al., Numer. Methods Partial Differ. Equations 31, No. 2, 552--574 (2015; Zbl 1326.92041) Full Text: DOI
Faure, Sylvain; Maury, Bertrand Crowd motion from the granular standpoint. (English) Zbl 1368.70007 Math. Models Methods Appl. Sci. 25, No. 3, 463-493 (2015). MSC: 70E50 70E55 34D20 92D50 35L65 90B20 PDFBibTeX XMLCite \textit{S. Faure} and \textit{B. Maury}, Math. Models Methods Appl. Sci. 25, No. 3, 463--493 (2015; Zbl 1368.70007) Full Text: DOI
Spill, F.; Guerrero, P.; Alarcon, T.; Maini, P. K.; Byrne, H. M. Mesoscopic and continuum modelling of angiogenesis. (English) Zbl 1330.92026 J. Math. Biol. 70, No. 3, 485-532 (2015). MSC: 92C17 60J70 35Q92 PDFBibTeX XMLCite \textit{F. Spill} et al., J. Math. Biol. 70, No. 3, 485--532 (2015; Zbl 1330.92026) Full Text: DOI arXiv Link
Fouchet-Incaux, Justine Artificial boundaries and formulations for the incompressible Navier-Stokes equations: applications to air and blood flows. (English) Zbl 1314.76022 S\(\vec{\text{e}}\)MA J. 64, No. 1, 1-40 (2014). Reviewer: Josipa Pina Milišić (Zagreb) MSC: 76D03 35Q30 76Z05 92C35 PDFBibTeX XMLCite \textit{J. Fouchet-Incaux}, S\(\vec{\text{e}}\)MA J. 64, No. 1, 1--40 (2014; Zbl 1314.76022) Full Text: DOI
Chen, Ying; Lowengrub, John S. Tumor growth in complex, evolving microenvironmental geometries: a diffuse domain approach. (English) Zbl 1303.92042 J. Theor. Biol. 361, 14-30 (2014). MSC: 92C50 92C37 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. S. Lowengrub}, J. Theor. Biol. 361, 14--30 (2014; Zbl 1303.92042) Full Text: DOI Link
Perthame, Benoît; Tang, Min; Vauchelet, Nicolas Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient. (English) Zbl 1366.92065 Math. Models Methods Appl. Sci. 24, No. 13, 2601-2626 (2014). MSC: 92C50 35C07 35Q92 76Z99 PDFBibTeX XMLCite \textit{B. Perthame} et al., Math. Models Methods Appl. Sci. 24, No. 13, 2601--2626 (2014; Zbl 1366.92065) Full Text: DOI arXiv
Saut, Olivier; Lagaert, Jean-Baptiste; Colin, Thierry; Fathallah-Shaykh, Hassan M. A multilayer grow-or-go model for GBM: effects of invasive cells and anti-angiogenesis on growth. (English) Zbl 1300.92043 Bull. Math. Biol. 76, No. 9, 2306-2333 (2014). MSC: 92C50 PDFBibTeX XMLCite \textit{O. Saut} et al., Bull. Math. Biol. 76, No. 9, 2306--2333 (2014; Zbl 1300.92043) Full Text: DOI
Lignet, Floriane; Benzekry, S.; Wilson, Shelby; Billy, F.; Saut, Olivier; Tod, Michel; You, Benoit; Adda Berkane, A.; Kassour, S.; Wei, M. X.; Grenier, Emmanuel; Ribba, Benjamin Theoretical investigation of the efficacy of antiangiogenic drugs combined to chemotherapy in xenografted mice. (English) Zbl 1406.92315 J. Theor. Biol. 320, 86-99 (2013). MSC: 92C50 92C15 35Q92 PDFBibTeX XMLCite \textit{F. Lignet} et al., J. Theor. Biol. 320, 86--99 (2013; Zbl 1406.92315) Full Text: DOI
Billy, Frédérique; Clairambault, Jean; Fercoq, Olivier Optimisation of cancer drug treatments using cell population dynamics. (English) Zbl 1345.92074 Ledzewicz, Urszula (ed.) et al., Mathematical methods and models in biomedicine. New York, NY: Springer (ISBN 978-1-4614-4177-9/pbk; 978-1-4614-4178-6/ebook). Lecture Notes on Mathematical Modelling in the Life Sciences, 265-309 (2013). MSC: 92C50 92C37 PDFBibTeX XMLCite \textit{F. Billy} et al., in: Mathematical methods and models in biomedicine. New York, NY: Springer. 265--309 (2013; Zbl 1345.92074) Full Text: DOI HAL
André, N.; Barbolosi, D.; Billy, F.; Chapuisat, G.; Hubert, F.; Grenier, E.; Rovini, A. Mathematical model of cancer growth controled by metronomic chemotherapies. (English. French summary) Zbl 1336.92035 ESAIM, Proc. 41, 77-94 (2013). MSC: 92C50 PDFBibTeX XMLCite \textit{N. André} et al., ESAIM, Proc. 41, 77--94 (2013; Zbl 1336.92035) Full Text: DOI
Rekik, Islem; Allassonnière, Stéphanie; Durrleman, Stanley; Carpenter, Trevor; Wardlaw, Joanna Spatiotemporal dynamic simulation of acute perfusion/diffusion ischemic stroke lesions evolution: a pilot study derived from longitudinal MR patient data. (English) Zbl 1307.92223 Comput. Math. Methods Med. 2013, Article ID 283593, 13 p. (2013). MSC: 92C55 PDFBibTeX XMLCite \textit{I. Rekik} et al., Comput. Math. Methods Med. 2013, Article ID 283593, 13 p. (2013; Zbl 1307.92223) Full Text: DOI
Tang, Min; Vauchelet, Nicolas; Cheddadi, Ibrahim; Vignon-Clementel, Irene; Drasdo, Dirk; Perthame, Benoît Composite waves for a cell population system modeling tumor growth and invasion. (English) Zbl 1346.92017 Chin. Ann. Math., Ser. B 34, No. 2, 295-318 (2013). MSC: 92C10 35J60 35K57 74J30 35C07 PDFBibTeX XMLCite \textit{M. Tang} et al., Chin. Ann. Math., Ser. B 34, No. 2, 295--318 (2013; Zbl 1346.92017) Full Text: DOI
Øyehaug, Leiv; Østby, Ivar; Lloyd, Catherine M.; Omholt, Stig W.; Einevoll, Gaute T. Dependence of spontaneous neuronal firing and depolarisation block on astroglial membrane transport mechanisms. (English) Zbl 1446.92160 J. Comput. Neurosci. 32, No. 1, 147-165 (2012). MSC: 92C20 PDFBibTeX XMLCite \textit{L. Øyehaug} et al., J. Comput. Neurosci. 32, No. 1, 147--165 (2012; Zbl 1446.92160)
Benzekry, Sebastien Passing to the limit 2D-1D in a model for metastatic growth. (English) Zbl 1448.92059 J. Biol. Dyn. 6, Suppl. 1, 19-30 (2012). MSC: 92C32 35B30 92D25 PDFBibTeX XMLCite \textit{S. Benzekry}, J. Biol. Dyn. 6, 19--30 (2012; Zbl 1448.92059) Full Text: DOI
Macklin, Paul; Edgerton, Mary E.; Thompson, Alastair M.; Cristini, Vittorio Patient-calibrated agent-based modelling of ductal carcinoma in situ (DCIS): from microscopic measurements to macroscopic predictions of clinical progression. (English) Zbl 1397.92346 J. Theor. Biol. 301, 122-140 (2012). MSC: 92C50 92C37 35Q92 92C17 PDFBibTeX XMLCite \textit{P. Macklin} et al., J. Theor. Biol. 301, 122--140 (2012; Zbl 1397.92346) Full Text: DOI Link
Tindall, Marcus J.; Dyson, Louise; Smallbone, Kieran; Maini, Philip K. Modelling acidosis and the cell cycle in multicellular tumour spheroids. (English) Zbl 1397.92374 J. Theor. Biol. 298, 107-115 (2012). MSC: 92C50 92C37 35Q92 PDFBibTeX XMLCite \textit{M. J. Tindall} et al., J. Theor. Biol. 298, 107--115 (2012; Zbl 1397.92374) Full Text: DOI Link
Toma, Alina; Mang, Andreas; Schuetz, Tina A.; Becker, Stefan; Buzug, Thorsten M. A novel method for simulating the extracellular matrix in models of tumour growth. (English) Zbl 1401.92072 Comput. Math. Methods Med. 2012, Article ID 109019, 11 p. (2012). MSC: 92C37 35K57 35Q92 PDFBibTeX XMLCite \textit{A. Toma} et al., Comput. Math. Methods Med. 2012, Article ID 109019, 11 p. (2012; Zbl 1401.92072) 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 PDFBibTeX XMLCite \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
Barbuti, Roberto; Caravagna, Giulio; Maggiolo-Schettini, Andrea; Milazzo, Paolo; Tini, Simone Foundational aspects of multiscale modeling of biological systems with process algebras. (English) Zbl 1238.68093 Theor. Comput. Sci. 431, 96-116 (2012). MSC: 68Q85 68Q55 92C42 PDFBibTeX XMLCite \textit{R. Barbuti} et al., Theor. Comput. Sci. 431, 96--116 (2012; Zbl 1238.68093) Full Text: DOI
Chapuisat, Guillemette; Joly, Romain Asymptotic profiles for a traveling front solution of a biological equation. (English) Zbl 1252.35061 Math. Models Methods Appl. Sci. 21, No. 10, 2155-2177 (2011). Reviewer: Mersaid Aripov (Tashkent) MSC: 35B40 35K15 35K58 35C07 35B35 35K57 92C20 PDFBibTeX XMLCite \textit{G. Chapuisat} and \textit{R. Joly}, Math. Models Methods Appl. Sci. 21, No. 10, 2155--2177 (2011; Zbl 1252.35061) Full Text: DOI arXiv
Sébastien, Benzekry Mathematical analysis of a two-dimensional population model of metastatic growth including angiogenesis. (English) Zbl 1252.35126 J. Evol. Equ. 11, No. 1, 187-213 (2011). MSC: 35F31 35A01 35B40 35B65 47D06 92D25 PDFBibTeX XMLCite \textit{B. Sébastien}, J. Evol. Equ. 11, No. 1, 187--213 (2011; Zbl 1252.35126) Full Text: DOI arXiv
Bastogne, Thierry; Samson, A.; Vallois, P.; Wantz-Mézières, S.; Pinel, S.; Bechet, D.; Barberi-Heyob, M. Phenomenological modeling of tumor diameter growth based on a mixed effects model. (English) Zbl 1403.92021 J. Theor. Biol. 262, No. 3, 544-552 (2010). MSC: 92C15 92C50 62P10 PDFBibTeX XMLCite \textit{T. Bastogne} et al., J. Theor. Biol. 262, No. 3, 544--552 (2010; Zbl 1403.92021) Full Text: DOI HAL
Grenier, E.; Bresch, D.; Dronne, M.-A.; Hommel, M.; Boissel, J.-P. A phenomenological model of the growth of the necrotic area in ischemic stroke. (English) Zbl 1198.37124 Math. Comput. Modelling 51, No. 9-10, 1011-1025 (2010). MSC: 37N25 92C50 PDFBibTeX XMLCite \textit{E. Grenier} et al., Math. Comput. Modelling 51, No. 9--10, 1011--1025 (2010; Zbl 1198.37124) Full Text: DOI
Tao, Youshan; Guo, Qian; Aihara, Kazuyuki A mathematical model of prostate tumor growth under hormone therapy with mutation inhibitor. (English) Zbl 1196.35216 J. Nonlinear Sci. 20, No. 2, 219-240 (2010). MSC: 35Q92 35R35 92C50 92C15 PDFBibTeX XMLCite \textit{Y. Tao} et al., J. Nonlinear Sci. 20, No. 2, 219--240 (2010; Zbl 1196.35216) Full Text: DOI
Bennett, Max R.; Farnell, Les; Gibson, William G. P2X\(_7\) regenerative-loop potentiation of glutamate synaptic transmission by microglia and astrocytes. (English) Zbl 1403.92040 J. Theor. Biol. 261, No. 1, 1-16 (2009). MSC: 92C20 92C45 92C40 92C37 PDFBibTeX XMLCite \textit{M. R. Bennett} et al., J. Theor. Biol. 261, No. 1, 1--16 (2009; Zbl 1403.92040) 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 PDFBibTeX XMLCite \textit{F. Billy} et al., J. Theor. Biol. 260, No. 4, 545--562 (2009; Zbl 1402.92050) Full Text: DOI
Mikelić, Andro; Rosier, Carole Rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore. (English) Zbl 1181.35013 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 333-359 (2007). MSC: 35B25 92E20 76F25 PDFBibTeX XMLCite \textit{A. Mikelić} and \textit{C. Rosier}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 333--359 (2007; Zbl 1181.35013) Full Text: DOI