Related Experiment Video
Updated: Oct 31, 2025

Visualization of Cellular Electrical Activity in Zebrafish Early Embryos and Tumors
Published on: April 25, 2018
Lie point symmetries for generalised Fisher's equations describing tumour dynamics
Salvador Chulián1, Álvaro Martinez-Rubio1, María Luz Gandarias2
1Departamento de Matemáticas, University of Cádiz, Cádiz, Spain; Instituto de Investigación e Innovación Biomédica de Cádiz (INiBICA), University of Cádiz, Cádiz, Spain.
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.
More Related Videos
10:23Author Spotlight: Computing the Effects of a Local Radiofrequency Hyperthermia Intervention on Tumor Biomechanics
Published on: December 1, 2023
11:11Longitudinal Measurement of Extracellular Matrix Rigidity in 3D Tumor Models Using Particle-tracking Microrheology
Published on: June 10, 2014
Related Concept Videos
Gauss's Law: Planar Symmetry
Symmetry in Maxwell's Equations
Gauss's Law: Cylindrical Symmetry
Poisson's And Laplace's Equation
Gauss's Law: Spherical Symmetry
Symmetry