Epithelial mesenchymal transition (EMT) and mesenchymal epithelial transition (MET) are
genetic determinants of cellular plasticity. These programs operate in physiological …

Despite significant advances in oncological research, cancer nowadays remains one of the
main causes of mortality and morbidity worldwide. New treatment techniques, as a rule …

A spatially-distributed continuous mathematical model of solid tumor growth and treatment
by fractionated radiotherapy is presented. The model explicitly accounts for the factors …

Nonlocal reaction–diffusion equations describe various biological and biomedical
applications. Their mathematical properties are essentially different in comparison with the …

The cell-microenvironment communication is essential for homing of hematopoietic stem
cells in stromal niches. Recent evidences support the involvement of epithelial-to …

One challenging aspect of therapy optimization and application of control algorithms in the
field of tumor growth modeling is the limited number of measurable physiological signals …

A continuous mathematical model of non-invasive avascular tumor growth in tissue is
presented. The model considers tissue as a biphasic material, comprised of a solid matrix …

A spatially-distributed continuous mathematical model of solid tumor growth and treatment
by fractionated radiotherapy is presented. The model explicitly accounts for three time and …

An off-lattice agent-based model of tumor growth is presented, which describes a tumor as a
network of proliferating cells, whose dynamics depend on the stress generated by …

A nonlinear age-structured tumor population model, in which the tumor population is divided
into proliferating and quiescent cells is proposed and analyzed. The probability of mitosis in …