Tumour growth results, in particular, from cell-cell interaction and tumour and healthy cell proliferation. The complexity of the cellular microenvironment may then be framed within the theory of mixtures by looking at cell populations as the constituents of a mixture. In this paper the balance equations are reviewed to account for directionality onto a collective migration of the tumour cell population, via an attractive force of the chemotactic type, in addition to the customary pressure term. The density of tumour cells turns out to be governed by a hyperbolic differential equation. By neglecting, as usual, the inertia term it follows that the density satisfies a backward, or forward, diffusion equation according as the attraction, or pr...
In this paper the theory of mixtures is used to develop a two-phase model of an avascular tumour, wh...
We present a mathematical model of the growth of tumours. The cells in the tumour are taken to proli...
The aim of this contribution is to put together in a systematic way several approaches operating at ...
We propose a coupled mathematical model for the detailed quantitative analyses of initial microtumou...
What are the biomechanical implications in the dynamics and evolution of a growing solid tumor? Alth...
What are the biomechanical implications in the dynamics and evolution of a growing solid tumor? Alth...
What are the biomechanical implications in the dynamics and evolution of a growing solid tumor? Alth...
What are the biomechanical implications in the dynamics and evolution of a growing solid tumor? Alth...
[Received on xx; revised on yy] Invasion is an important facet of malignant growth that enables tumo...
A new continuous spatially-distributed model of solid tumor growth and progression is presented. The...
A two-phase model is presented to describe avascular tumour growth. Conservation of mass equations, ...
We propose a two-component reaction-transport model for the migration-proliferation dichotomy in the...
The work presented in this thesis is concerned with modelling the effects of cell movement on the gr...
In this paper the theory of mixtures is used to develop a two-phase model of an avascular tumour, wh...
Cancer cell migration, as the principal element of tumor invasion, involves different cellular mecha...
In this paper the theory of mixtures is used to develop a two-phase model of an avascular tumour, wh...
We present a mathematical model of the growth of tumours. The cells in the tumour are taken to proli...
The aim of this contribution is to put together in a systematic way several approaches operating at ...
We propose a coupled mathematical model for the detailed quantitative analyses of initial microtumou...
What are the biomechanical implications in the dynamics and evolution of a growing solid tumor? Alth...
What are the biomechanical implications in the dynamics and evolution of a growing solid tumor? Alth...
What are the biomechanical implications in the dynamics and evolution of a growing solid tumor? Alth...
What are the biomechanical implications in the dynamics and evolution of a growing solid tumor? Alth...
[Received on xx; revised on yy] Invasion is an important facet of malignant growth that enables tumo...
A new continuous spatially-distributed model of solid tumor growth and progression is presented. The...
A two-phase model is presented to describe avascular tumour growth. Conservation of mass equations, ...
We propose a two-component reaction-transport model for the migration-proliferation dichotomy in the...
The work presented in this thesis is concerned with modelling the effects of cell movement on the gr...
In this paper the theory of mixtures is used to develop a two-phase model of an avascular tumour, wh...
Cancer cell migration, as the principal element of tumor invasion, involves different cellular mecha...
In this paper the theory of mixtures is used to develop a two-phase model of an avascular tumour, wh...
We present a mathematical model of the growth of tumours. The cells in the tumour are taken to proli...
The aim of this contribution is to put together in a systematic way several approaches operating at ...