A mathematical model of angiogenesis and tumor growth: analysis and application in anti-angiogenesis therapy
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Publication:1789089
DOI10.1007/S00285-018-1264-4zbMath1400.92295OpenAlexW2883513229WikidataQ90303823 ScholiaQ90303823MaRDI QIDQ1789089
Publication date: 9 October 2018
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-018-1264-4
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell biology (92C37)
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Cites Work
- Unnamed Item
- Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method
- A continuous model of angiogenesis: initiation, extension, and maturation of new blood vessels modulated by vascular endothelial growth factor, angiopoietins, platelet-derived growth factor-B, and pericytes
- Continuous and discrete mathematical models of tumor-induced angiogenesis
- Nonlinear simulation of tumor growth
- Mathematical biology. Vol. 1: An introduction.
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy
- Three-dimensional multispecies nonlinear tumor growth. II: Tumor invasion and angiogenesis
- Coupled modelling of tumour angiogenesis, tumour growth and blood perfusion
- A review of mathematical models for the formation of vascular networks
- Modeling the effects of vasculature evolution on early brain tumor growth
- Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications
- Multiscale modelling and nonlinear simulation of vascular tumour growth
- A viscoelastic model of blood capillary extension and regression: derivation, analysis, and simulation
- Asymptotic stability for a free boundary problem arising in a tumor model
- Mesoscopic and continuum modelling of angiogenesis
- Elliptic Partial Differential Equations of Second Order
- Modelling solid tumour growth using the theory of mixtures
- Nonlinear modelling of cancer: bridging the gap between cells and tumours
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