Travelling wave solutions of the reaction-diffusion mathematical model of glioblastoma growth: an Abel equation based approach

DOI10.3934/mbe.2015.12.41zbMath1316.35070arXiv1409.0605OpenAlexW2963798734WikidataQ48261761 ScholiaQ48261761MaRDI QIDQ2347607

Tiberiu Harko, Man Kwong Mak

Publication date: 5 June 2015

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0605

zbMATH Keywords

exact solutionstumor growth modelChiellini lemmaLemke transformationnumerical and semi-analytical methods

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Explicit solutions, first integrals of ordinary differential equations (34A05) Cell biology (92C37) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (8)

Analysis of a population model with advection and an autocatalytic-type growth ⋮ Exact travelling wave solutions of non-linear reaction-convection-diffusion equations—An Abel equation based approach ⋮ Mechanically-driven spreading of bacterial populations ⋮ Exact solutions of the Liénard- and generalized Liénard-type ordinary nonlinear differential equations obtained by deforming the phase space coordinates of the linear harmonic oscillator ⋮ A data-motivated density-dependent diffusion model of in vitro glioblastoma growth ⋮ On the integrability of the Abel and of the extended Liénard equations ⋮ On the Number of Limit Cycles in Generalized Abel Equations ⋮ On the number of limit cycles in piecewise smooth generalized Abel equations with two asymmetric zones

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