title: Multiphase modelling of desmoplastic tumour growth.
abstract: It is well-known that the microenvironment of solid tumours is a significant component of the processes of tumour growth and invasion. Interactions between tumour cells and stromal components play a crucial role in tumour progression as well as suppression. We describe a mathematical model of tumour growth within a host tissue which takes into account both cell-extracellular matrix interactions and tissue compression effects. This multiphase model consisting of three coupled partial differential equations captures the dynamics of tumour progression, particularly of a desmoplastic tumour (i.e. a tumour rich in fibrous connective tissue). The model is analysed in terms of stability in a spatially homogenous case. Computer simulations agree with the biological picture of the disease and may help to understand the process leading to the pathology.
authors.affiliation: Institute of Automatic Control, Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland. krzysztof.psiuk-maksymowicz@polsl.pl
authors.forename: K
authors.initials: K
authors.lastname: Psiuk-Maksymowicz
mesh_terms: D003198:Computer Simulation; D018450:Disease Progression; D005109:Extracellular Matrix / Q000473:pathology; D018220:Fibroma, Desmoplastic / Q000473:pathology*; D006801:Humans; D008954:Models, Biological; D009361:Neoplasm Invasiveness; D059016:Tumor Microenvironment