Chulián, SalvadorMartinez-Rubio, ÁlvaroGandarias, María LuzRosa, María2022-07-082022-07-082021-04-12Chulián 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):3291-3312http://hdl.handle.net/10668/3764A 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.enAtribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/Lie symmetriesFisher’s equationsGeneralized Fisher’s equationsTumor dynamicsPartial differential equationsNeoplasiasMatemáticaDinámicas no linealesFenómenos biológicosMedical Subject Headings::Organisms::Eukaryota::Animals::Chordata::Vertebrates::Mammals::Primates::Haplorhini::Catarrhini::Hominidae::HumansMedical Subject Headings::Disciplines and Occupations::Natural Science Disciplines::MathematicsMedical Subject Headings::Diseases::NeoplasmsMedical Subject Headings::Phenomena and Processes::Biological PhenomenaMedical Subject Headings::Disciplines and Occupations::Natural Science Disciplines::PhysicsMedical Subject Headings::Analytical, Diagnostic and Therapeutic Techniques and Equipment::Investigative Techniques::Models, Theoretical::Nonlinear DynamicsMedical Subject Headings::Analytical, Diagnostic and Therapeutic Techniques and Equipment::Investigative Techniques::Models, Theoretical::Models, Biological::Models, Geneticreview article34198386Acceso abierto10.3934/mbe.20211641551-0018