Abstract

Group Classification of a System of Nonlinear Equations Modelling Tumour Growth

N.Safstrom, N.H.Ibragimov (Department of Health, Science and Mathematics, Blekinge Institute of Technology, Karlskrona, Sweden)

e-mail: mdv99nsa@student.bth.se

We consider a system of nonlinear partial differential equations suggested by A.J. Perumpanani et al. for modelling malignant tumours spread into neighbouring tissue in the absence of cell diffusion. The authors of the model discussed its biological significance by using travelling wave solutions as well as numerical and power series methods. Recently, J.M. Stewart, P. Broadbridge and J.M. Goard investigated group invariant solutions in a particular case of this model. Our work is dedicated to the problem of group classification of the general model of A.J. Perumpanani et al.

Section : 12