A new continuous spatially-distributed model of solid tumor growth and progression is
presented. The model explicitly accounts for mutations/epimutations of tumor cells which …

Mathematical model of infiltrative tumour growth taking into account transitions between two
possible states of malignant cell is investigated. These transitions are considered to depend …

A model of tumor growth in a spatial environment is analyzed. The model includes
proliferating and quiescent compartments of tumor cells indexed by successively mutated …

Although cancer is a leading cause of death, a little is known about the mechanism of its
growth and destruction. Mathematical models explaining these mechanisms are crucial to …

Discrete mathematical models are proposed to study the dynamics of interacting cells of an
organism that is affected by an aggressive heterogeneous tumor. The models include the …

It provided a powerful new way for predicting the growth trend of malignant tumor and
assisting the treatment of cancer patients. Firstly, a one‐dimensional mathematical model for …

Cancer cell invasion of tissue is a complex biological process during which cell migration
through the extracellular matrix, facilitated by the secretion of degradative enzymes, is a …

抄録 In this paper it is shown that the global existence in time and asymptotic profile of the
solution of a mathematical model of tumour invasion with proliferation proposed by Chaplain …

Mathematical models of tumour invasion appear as interesting tools for connecting the
information extracted from medical imaging techniques and the large amount of data …

Discrete mathematical models are proposed to study the dynamics of interacting cells of an
organism that is affected by an aggressive heterogeneous tumor. The models include the …