Narrow Results

The system of living cells closed in a polymer bead as a matrix is considered in formalism of lattice model extended with compactivity concept developed for complex systems in statistical mechanics of jammed state of matter. Possibility of extension of Edwards concept of compactivity developed for hard irregular grains with friction to living cell systems, is considered if function of cell interactions and properties. Existence of critical points in the course of cell colony grow related to their self assembling and response to polymer hydrogel micro-environment resistance, is analyzed in function of cell volume fraction growth. Based on the theory and experiments it is related to characteristic values of compactivity in analogy to phase transition temperatures. Interpretation of data from literature on cancer cell cluster growth suppression under pressure of microenvironment on the base of model proposed is offered.

Although there is a vast engineering literature for granular materials, as a subject for physicists it has seen great growth in recent years. This is because, when stripped down to the fundamental problem, it is quite novel, and demands a rethink of the kind of laws familiar elsewhere in physics. We consider the transmission of stress in granular materials and investigate the simplest statically determinate problem.

Although there is a vast engineering literature for granular materials, as a subject for physicists it has seen great growth in recent years. This is because, when stripped down to the fundamental problem, it is quite novel, and demands a rethink of the kind of laws familiar elsewhere in physics. We consider the transmission of stress in granular materials and investigate the simplest statically determinate problem.