Special Session 27: Mathematical problems in economics, materials and life science: Analysis and simulation of nonlinear multiscale dynamics
Contents
The main objective of our work was to devise a large scale individual-based modelling and computational methodology allowing for simulations of tumour growth and dynamics in clinically detectable scale. In our model each cell is treated as an individual and hence can posses its individual (e.g. biomechanical) properties. Tumour environment such as oxygen and glucose is modelled with the use of PDE based description. We define the clinically detectable scale of the model as an ability to consider significant volumes of tissue which can be detected and operated by clinical doctors. Thanks to efficient implementation on modern massively parallel computer architectures, our model is capable of simulating $10^{9}$ cells i.e. approximately $1 cm^{3}$ volume of human tissue. Such simulation scale enables us to consider avascular tumours consisting of approximately $10^{6}$ cells together with surrounding healthy tissue and cellular environment.