Free boundary problems in biology
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Publication:2955801
DOI10.1098/rsta.2014.0368zbMath1353.35291OpenAlexW2342764370WikidataQ38564186 ScholiaQ38564186MaRDI QIDQ2955801
Publication date: 13 January 2017
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rsta.2014.0368
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) General biology and biomathematics (92B05)
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Cites Work
- Unnamed Item
- Cell cycle control at the first restriction point and its effect on tissue growth
- A three dimensional model of wound healing: analysis and computation
- A free boundary problem for a coupled system of elliptic, hyperbolic, and Stokes equations modeling tumor growth
- Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation
- The migration of cells in multicell tumor spheroids
- A multiscale tumor model
- Modeling immunotherapy of the tumor -- immune interaction
- Analysis of a mathematical model for the growth of tumors
- A model of wound-healing angiogenesis in soft tissue
- Growth of nonnecrotic tumors in the presence and absence of inhibitors
- A mathematical model for chronic wounds
- On the dynamics of radially symmetric granulomas
- A free boundary problem for steady small plaques in the artery and their stability
- On a multiphase multicomponent model of biofilm growth
- On the stability of steady states in a granuloma model
- Bifurcation from stability to instability for a free boundary problem arising in a tumor model
- Asymptotic stability for a free boundary problem arising in a tumor model
- A mathematical model of atherosclerosis with reverse cholesterol transport and associated risk factors
- Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth
- Mathematical model of sarcoidosis
- Analysis of a Mathematical Model of Ischemic Cutaneous Wounds
- RELAXATION OF SOME TRANSVERSALLY ISOTROPIC ENERGIES AND APPLICATIONS TO SMECTIC A ELASTOMERS
- Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model
- Mathematical Description of Microbial Biofilms
- Free Boundary Problems Associated with Multiscale Tumor Models
- A free boundary problem for a singular system of differential equations: An application to a model of tumor growth
- A Free Boundary Problem for an Elliptic-Hyperbolic System: An Application to Tumor Growth
- Mathematical Modelling of Angiogenesis in Wound Healing: Comparison of Theory and Experiment
- A hyperbolic free boundary problem modeling tumor growth: Asymptotic behavior
- Bifurcation for a Free Boundary Problem Modeling Tumor Growth by Stokes Equation
- Models for the Growth of a Solid Tumor by Diffusion
