RT journal article
T1 Lie point symmetries for generalised Fisher's equations describing tumour dynamics
A1 Chulián, Salvador
A1 Martínez Rubio, Álvaro
A1 Gandarias Núñez, María Luz
A1 Rosa Durán, María
A2 Matemáticas
K1 lie symmetries
K1 Fisher’s equations
K1 generalized Fisher’s equations
K1 tumor dynamics
K1 partial di erential equations
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 AMER INST MATHEMATICAL SCIENCES-AIMS
SN 1547-1063
YR 2021
FD 2021
LK http://hdl.handle.net/10498/25384
UL http://hdl.handle.net/10498/25384
LA eng
NO We would like to acknowledge group FQM-201 from Junta de Andalucia. We also would like to acknowledge Profs. Rita Tracina and Mariano Torrisi from the University of Catania (Italy) and Victor M. Perez Garcia from the University of Castilla-La Mancha (Spain) for discussions. This work was partially supported by the Fundacion Espanola para la Ciencia y la Tecnologia [UCA PR214], the Asociacion Pablo Ugarte (APU, Spain) and Inversion Territorial Integrada de la Provincia de Cadiz [ITI-0038-2019].
DS Repositorio Institucional de la Universidad de Cádiz
RD 13-nov-2026