Lie point symmetries for generalised Fisher's equations describing tumour dynamics

Chulián, Salvador; Martinez-Rubio, Álvaro; Gandarias, María Luz; Rosa, María

Publication:
Lie point symmetries for generalised Fisher's equations describing tumour dynamics

dc.contributor.author	Chulián, Salvador
dc.contributor.author	Martinez-Rubio, Álvaro
dc.contributor.author	Gandarias, María Luz
dc.contributor.author	Rosa, María
dc.contributor.authoraffiliation	[Chulián,S; Martinez-Rubio;Á; Rosa,M] Departamento de Matemáticas, University of Cádiz, Cádiz, Spain; Instituto de Investigación e Innovación Biomédica de Cádiz (INiBICA), University of Cádiz, Cádiz, Spain. [Gandarias,ML] Departamento de Matemáticas, University of Cádiz, Cádiz, Spain.
dc.contributor.funder	This work was partially supported by the Fundación Española para la Ciencia y la Tecnología [UCA PR214], the Asociación Pablo Ugarte (APU, Spain) and Inversión Territorial Integrada de la Provincia de Cádiz [ITI-0038-2019].
dc.date.accessioned	2022-07-08T10:30:38Z
dc.date.available	2022-07-08T10:30:38Z
dc.date.issued	2021-04-12
dc.description.abstract	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.	es_ES
dc.description.version	Yes	es_ES
dc.identifier.citation	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	es_ES
dc.identifier.doi	10.3934/mbe.2021164	es_ES
dc.identifier.essn	1551-0018
dc.identifier.pmid	34198386	es_ES
dc.identifier.uri	http://hdl.handle.net/10668/3764
dc.journal.title	Mathematical Biosciences and Engineering
dc.language.iso	en
dc.page.number	22 p.
dc.publisher	AIMS Press	es_ES
dc.relation.publisherversion	https://www.aimspress.com/article/10.3934/mbe.2021164	es_ES
dc.rights	Atribución 4.0 Internacional	*
dc.rights.accessRights	Acceso abierto	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.subject	Lie symmetries	es_ES
dc.subject	Fisher’s equations	es_ES
dc.subject	Generalized Fisher’s equations	es_ES
dc.subject	Tumor dynamics	es_ES
dc.subject	Partial differential equations	es_ES
dc.subject	Neoplasias	es_ES
dc.subject	Matemática	es_ES
dc.subject	Dinámicas no lineales	es_ES
dc.subject	Fenómenos biológicos	es_ES
dc.subject.mesh	Medical Subject Headings::Organisms::Eukaryota::Animals::Chordata::Vertebrates::Mammals::Primates::Haplorhini::Catarrhini::Hominidae::Humans	es_ES
dc.subject.mesh	Medical Subject Headings::Disciplines and Occupations::Natural Science Disciplines::Mathematics	es_ES
dc.subject.mesh	Medical Subject Headings::Diseases::Neoplasms	es_ES
dc.subject.mesh	Medical Subject Headings::Phenomena and Processes::Biological Phenomena	es_ES
dc.subject.mesh	Medical Subject Headings::Disciplines and Occupations::Natural Science Disciplines::Physics	es_ES
dc.subject.mesh	Medical Subject Headings::Analytical, Diagnostic and Therapeutic Techniques and Equipment::Investigative Techniques::Models, Theoretical::Nonlinear Dynamics	es_ES
dc.subject.mesh	Medical Subject Headings::Analytical, Diagnostic and Therapeutic Techniques and Equipment::Investigative Techniques::Models, Theoretical::Models, Biological::Models, Genetic	es_ES
dc.title	Lie point symmetries for generalised Fisher's equations describing tumour dynamics	es_ES
dc.type	review article
dc.type.hasVersion	VoR
dspace.entity.type	Publication