Traveling wave behavior in a two-phase flow model of tumor growth

DOI10.1007/S00707-009-0249-1zbMath1351.74065OpenAlexW2146579570MaRDI QIDQ977735

Mahmoud Bakheet A. Mansour

Publication date: 23 June 2010

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-009-0249-1

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Biomechanical solid mechanics (74L15) Cell biology (92C37)

Cites Work

• Unnamed Item
• Unnamed Item
• Existence of traveling wave solutions in a hyperbolic-elliptic system of equations
• The migration of cells in multicell tumor spheroids
• Recent progress in 3-D computer simulation of tumor growth and treatment
• A new approach to modelling the formation of necrotic regions in tumours
• A two-phase model of solid tumour growth
• A mathematical model of the effector cell response to cancer
• Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory
• A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion
• Mathematical modelling of capsule formation and multinodularity in benign tumour growth
• Modelling solid tumour growth using the theory of mixtures

This page was built for publication: Traveling wave behavior in a two-phase flow model of tumor growth