… In this review, we give an overview over the current status of integrative models describing
tumor growth, vascular remodeling, blood and interstitial fluid flow, drug delivery, and …

… ); the addition of the cell shedding mechanism requires only the adjustment of the boundary
conditions. In summary, the model of avascular tumour growth is based on the assumption …

… continuum models of avascular tumor growth, … models range in complexity and include
one-dimensional studies of radiallysymmetric growth, and two-dimensional models of tumor …

… In this paper, we proposed a FEM based mixture model for avascular tumor growth by
incorporating a chemical modeling approach and a physical modeling approach. In chemical …

… Theoretical model An avascular tumor refers to an aggregate of cellular elements, ECM
constituents, and interstitial space that forms at the primary stage of tumor development before …

… tumors. In our current research, supported by previous works such as [22] and [23], we propose
a microscopic model to describe tumor growth … The model is able to explain the empirical …

… In this short review, we will focus on a continuum model of avascular tumor growth at tissue
level, leading to systems of coupled, nonlinear partial di®erential equations (PDEs), to be …

… new ways to examine the growth of the tumor and to investigate its … models for avascular
tumor growth. We evaluate the effects of physiological parameters on tumor development…

… , mean tumour cell size is comparable to mean normal cell size, we apply … our model simulates
avascular tumour growth well, reproducing experimental results for the increase of tumour …

… of the vascular tree. Our results show that models of vascular tumor growth that describe the
… field can be coupled to a flow dynamics model even when the geometry and topology of the …