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Mathematical Biosciences and Engineering
Article . 2021 . Peer-reviewed
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Mathematical Biosciences and Engineering
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zbMATH Open
Article . 2021
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Lie point symmetries for generalised Fisher's equations describing tumour dynamics

Authors: Chulián, Salvador; Martínez Rubio, Álvaro; Gandarias Núñez, María Luz; Rosa Durán, María;

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

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.

Country
Spain
Keywords

Fisher's equations, generalized Fisher’s equations, PDEs in connection with biology, chemistry and other natural sciences, lie symmetries, tumor dynamics, Diffusion, generalized fisher's equations, Neoplasms, generalized Fisher's equations, QA1-939, partial differential equations, Lie symmetries, Humans, Pathology, pathophysiology, Fisher’s equations, partial di erential equations, fisher's equations, TP248.13-248.65, Mathematics, Biotechnology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Top 10%
Average
Top 10%
Green
gold