The basic properties of phase matrices of linear differential systems
The HELP inequality for Hamiltonian systems.
Theorems On Nonlinear Superpositions, III: Ordinary Differential Equations
Tumour angiogenesis model with variable vessels' effectiveness
We propose a model of vascular tumour growth, which generalises the well recognised model formulated by Hahnfeldt et al. in 1999. Our model is based on the same idea that the carrying capacity for any solid tumour depends on its vessel density but it also incorporates vasculature quality which may be lost during angiogenesis as recognised by Jain in 2005. In the model we assume that the loss of vessel quality affects the diffusion coefficient inside the tumour. We analyse basic mathematical properties...