
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.
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
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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