The equivalence group and invariant solutions of a tumour growth model

DOI10.1016/S1007-5704(03)00015-7zbMath1032.92017OpenAlexW2087470634MaRDI QIDQ1417829

Niklas Säfström, Nail H. Ibragimov

Publication date: 6 January 2004

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(03)00015-7

zbMATH Keywords

SymmetriesEquivalence groupInvariant solutionsTumour growth

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50)

Related Items (7)

Lie group symmetries' complete classification for a generalized Chazy equation and its equivalence group ⋮ Closed-form solutions of non-uniform axially loaded beams using Lie symmetry analysis ⋮ On a new method for finding generalized equivalence transformations for differential equations involving arbitrary functions ⋮ Weak equivalence transformations for a class of models in biomathematics ⋮ Lie symmetries and equivalence transformations for the Barenblatt-Gilman model ⋮ Some exact solutions of the fin problem with a power law temperature-dependent thermal conductivity ⋮ Group classification and solutions of a mathematical model from tumour biology

Cites Work

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• Nonlocal symmetries. Heuristic approach
• Symmetry analysis and numerical modelling of invasion by malignant tumour tissue
• A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion
• Preliminary group classification of equations v t t=f (x,v x)v x x+g(x,v x)
• A simple method for group analysis and its application to a model of detonation

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