Composite Waves for a Cell Population System Modeling Tumor Growth and Invasion

DOI10.1007/978-3-642-41401-5_16zbMath1321.35249OpenAlexW4250975255WikidataQ58906836 ScholiaQ58906836MaRDI QIDQ5261577

Nicolas Vauchelet, Irene E. Vignon-Clementel, Ibrahim Cheddadi, Min Tang, Perthame, Benoît, Dirk Drasdo

Publication date: 6 July 2015

Published in: Partial Differential Equations: Theory, Control and Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-41401-5_16

zbMATH Keywords

tumor growthreaction-diffusiontraveling waveselastic material

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Nonlinear waves in solid mechanics (74J30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Nonlinear elliptic equations (35J60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Biomechanics (92C10) Cell biology (92C37) Other free boundary flows; Hele-Shaw flows (76D27) Traveling wave solutions (35C07)

Related Items (5)

Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility ⋮ A Hele–Shaw Limit with a Variable Upper Bound and Drift ⋮ Tumor boundary instability induced by nutrient consumption and supply ⋮ On the incompressible limit for a tumour growth model incorporating convective effects ⋮ Bridging the gap between individual-based and continuum models of growing cell populations

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