Flow and heat transfer in biological tissues are analyzed in this investigation. Pertinent
works are reviewed in order to show how transport theories in porous media advance the …

A miscellany of new strategies, experimental techniques and theoretical approaches are
emerging in the ongoing battle against cancer. Nevertheless, as new, ground-breaking …

In this paper the theory of mixtures is used to develop a two‐phase model of an avascular
tumour, which comprises a solid, cellular, phase and a liquid phase. Mass and momentum …

Mass balance equations typically adopted to describe tumor growth are to be closed by
introducing a suitable velocity field. The first part of this paper is devoted to a critical review …

While a large and growing literature exists on mathematical and computational models of
tumor growth, to date tumor growth models are largely qualitative in nature, and fall far short …

In this paper, we develop a thermodynamically consistent four‐species model of tumor
growth on the basis of the continuum theory of mixtures. Unique to this model is the …

Resorting to a multiphase modelling framework, tumours are described here as a mixture of
tumour and host cells within a porous structure constituted by a remodelling extracellular …

Many solid tumour growth models are formulated as systems of parabolic and/or hyperbolic
equations. Here an alternative, two-phase theory is developed to describe solid tumour …

Stability analysis of double-diffusive convection for viscoelastic fluid with Soret effect in a
porous medium is investigated using a modified-Maxwell–Darcy model. We use the linear …

In this paper, a theoretical analysis is presented for magnetohydrodynamic flow of blood in a
capillary, its lumen being porous and wall permeable. The unsteadiness in the flow and …