Cell-Based Modeling of Tissue Developing in the Scaffold Pores of Varying Cross-Sections.

In this work, we present a mathematical model of cell growth in the pores of a perfusion bioreactor through which a nutrient solution is pumped. We have developed a 2-D vertex model that allows us to reproduce the microscopic dynamics of the microenvironment of cells and describe the occupation of the pore space with cells. In this model, each cell is represented by a polygon; the number of vertices and shapes may change over time.

How a physicist became a biophysicist.

I am Ivan Krasnyakov, a senior lecturer at the Department of Applied Physics at Perm National Research Polytechnic University. I hold a degree of Candidate of Physical and Mathematical Sciences. My main area of research revolves around the biophysics of multicellular tissues.

Biomechanical modeling of invasive breast carcinoma under a dynamic change in cell phenotype: collective migration of large groups of cells.

According to recent studies, cancer is an evolving complex ecosystem. It means that tumor cells are well differentiated and involved in heterotypic interactions with their microenvironment competing for available resources to proliferate and survive. In this paper, we propose a chemo-mechanical model for the growth of specific subtypes of an invasive breast carcinoma.