Found 45 Documents (Results 1–45)
Regularization and separation for evolving surface Cahn-Hilliard equations. (English) Zbl 1531.35328
Reviewer: Eugene Postnikov (Kursk)
Global solutions of aggregation equations and other flows with random diffusion. (English) Zbl 1509.35242
4D segmentation algorithm with application to 3D+time image segmentation. (English) Zbl 1506.65138
Reviewer: Abdallah Bradji (Annaba)
Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model. (English) Zbl 1507.35038
Reviewer: Michał Kowalczyk (Santiago)
An unfitted dG scheme for coupled bulk-surface PDEs on complex geometries. (English) Zbl 1523.65082
Reviewer: Baasansuren Jadamba (Rochester)
Multiscale analysis and simulation of a signaling process with surface diffusion. (English) Zbl 1446.35228
A Petrov-Galerkin finite element method for simulating chemotaxis models on stationary surfaces. (English) Zbl 1452.92011
Reviewer: Piotr Biler (Wrocław)
Stability analysis of a bulk-surface reaction model for membrane protein clustering. (English) Zbl 1432.92033
Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology. (English) Zbl 1427.65243
Viscoelastic modeling of the fusion of multicellular tumor spheroids in growth phase. (English) Zbl 1406.92291
Well-posedness and exponential equilibration of a volume-surface reaction-diffusion system with nonlinear boundary coupling. (English) Zbl 1392.35186
Reviewer: Jörg Härterich (Bochum)
A coupled ligand-receptor bulk-surface system on a moving domain: well posedness, regularity, and convergence to equilibrium. (English) Zbl 1390.35144
Entropy methods and convergence to equilibrium for volume-surface reaction-diffusion systems. (English) Zbl 1390.92045
Gonçalves, Patrícia (ed.) et al., From particle systems to partial differential equations. PSPDE IV, Braga, Portugal, December 16–18, 2015. Cham: Springer (ISBN 978-3-319-66838-3/hbk; 978-3-319-66839-0/ebook). Springer Proceedings in Mathematics & Statistics 209, 153-176 (2017).
Structured models of cell migration incorporating molecular binding processes. (English) Zbl 1373.35317
Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics. (English) Zbl 1366.35244
Reviewer: Angkana Rüland (Oxford)
Global existence for a bulk/surface model for active-transport-induced polarisation in biological cells. (English) Zbl 1354.92024
An interface-fitted adaptive mesh method for elliptic problems and its application in free interface problems with surface tension. (English) Zbl 1357.65271
Reviewer: Tomas Vejchodsky (Praha)
A computational method for the coupled solution of reaction-diffusion equations on evolving domains and manifolds: application to a model of cell migration and chemotaxis. (English) Zbl 1352.65359
Quasi-steady-state approximation and numerical simulation for a volume-surface reaction-diffusion system. (English) Zbl 1348.35110
Fast reaction limit of a volume-surface reaction-diffusion system towards a heat equation with dynamical boundary conditions. (English) Zbl 1348.35280
Homogenization of a carcinogenesis model with different scalings with the homogenization parameter. (English) Zbl 1340.35007
Surface reactions on the cytoplasmatic membranes – mathematical modeling of reaction and diffusion systems in a cell. (English) Zbl 1301.92022
Surface aggregation patterns of LDL receptors near coated pits. II: The retrograde membrane flow-diffusion and generalized plaque-form insertion mechanism. (English) Zbl 1241.92020
Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions. (English) Zbl 1165.35471
Bifurcation for a free boundary problem modeling the growth of multi-layer tumors. (English) Zbl 1135.35101
Bifurcation analysis of an elliptic free boundary problem modelling the growth of avascular tumors. (English) Zbl 1146.35011
A Boltzmann model for trapped particles in a surface potential. (English) Zbl 1117.82035
Reviewer: Claudia-Veronika Meister (Potsdam)
Thin-film theories for two-phase reactive flow models of active cell motion. (English) Zbl 1069.92002
A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth. (English) Zbl 1054.35144
Dynamics of labyrinthine pattern formation in magnetic fluids: A mean-field theory. (English) Zbl 0905.35068
Reviewer: L.Vazquez (Madrid)
Agonist-induced calcium waves in oscillatory cells: A biological example of Burgers’ equation. (English) Zbl 0919.92018
Singularities and similarities in interface flows. (English) Zbl 0808.76022
Sirovich, Lawrence (ed.), Trends and perspectives in applied mathematics. New York: Springer-Verlag. Appl. Math. Sci. 100, 155-208 (1994).
Global instability of viscous fingering in a Hele-Shaw cell: Formation of oscillatory fingers. (English) Zbl 0727.76047
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