A theoretical study of the response of vascular tumours to different types of chemotherapy

DOI10.1016/J.MCM.2007.02.028zbMath1148.92020OpenAlexW2131441875MaRDI QIDQ955502

Jasmina Panovska, Philip K. Maini, Helen M. Byrne

Publication date: 20 November 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.02.028

zbMATH Keywords

single and combined therapy

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell biology (92C37)

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Cites Work

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• A multiphase model describing vascular tumour growth
• Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method
• The migration of cells in multicell tumor spheroids
• Continuous and discrete mathematical models of tumor-induced angiogenesis
• Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions
• A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy
• A new mathematical model for avascular tumour growth
• Vascular tumor growth and treatment: Consequences of polyclonality, competition and dynamic vascular support
• Mathematical modelling of drug transport in tumour multicell spheroids and monolayer cultures
• Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999)
• Modelling the interactions between tumour cells and a blood vessel in a microenvironment within a vascular tumour
• Optimal Control Applied to Competing Chemotherapeutic Cell-Kill Strategies
• ADVECTION-DIFFUSION MODELS FOR SOLID TUMOUR EVOLUTION IN VIVO AND RELATED FREE BOUNDARY PROBLEM
• Optimal Control Applied to Cell-Cycle-Specific Cancer Chemotherapy

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