RT Journal Article
T1 Lie point symmetries for generalised Fisher's equations describing tumour dynamics
A1 Chulián, Salvador
A1 Martinez-Rubio, Álvaro
A1 Gandarias, María Luz
A1 Rosa, María
K1 Lie symmetries
K1 Fisher’s equations
K1 Generalized Fisher’s equations
K1 Tumor dynamics
K1 Partial differential equations
K1 Neoplasias
K1 Matemática
K1 Dinámicas no lineales
K1 Fenómenos biológicos
AB A huge variety of phenomena are governed by ordinary differential equations (ODEs) and partial differential equations (PDEs). However, there is no general method to solve them. Obtaining solutions for differential equations is one of the greatest problem for both applied mathematics and physics. Multiple integration methods have been developed to the day to solve particular types of differential equations, specially those focused on physical or biological phenomena. In this work, we review several applications of the Lie method to obtain solutions of reaction-diffusion equations describing cell dynamics and tumour invasion.
PB AIMS Press
YR 2021
FD 2021-04-12
LK http://hdl.handle.net/10668/3764
UL http://hdl.handle.net/10668/3764
LA en
NO Chulián S, Martinez-Rubio Á, Gandarias ML, Rosa M. Lie point symmetries for generalised Fisher's equations describing tumour dynamics. Math Biosci Eng. 2021 Apr 12;18(4):3291-3312
DS RISalud
RD Apr 9, 2025