We consider the drift-diffusion equation ut???u+??(u?K?u)=0 in whole space with global-in-time bounded solutions. Mass concentration phenomena for radially symmetric solutions of this small diffusivity are studied.

Cellular aggregates play a significant role in the evolution of biological systems such as tumor growth, tissue spreading, wound healing, and biofilm formation. Analysis systems, principle, includes examining interplay cell-cell interactions together with cell-matrix interaction. These two interaction types mainly drive dynamics cellular which is intrinsically out equilibrium. Here we propose n...

We study the aggregation phenomenon in lyotropic chromonic liquid crystals as molecular concentration changes and condensing agents are added into system. Using properties of critical points Oseen-Frank energy a nematic crystal, combined with geometric constraints hexagonal columnar phases, we show that minimizers total topologically equivalent to tori, agreement available experimental evidence...

Earth’s biological history is largely the story of microbial evolution. If one is to understand the evolution of such fundamental processes as photosynthesis, it is imperative to recognize and interpret microbial fossils. To these ends, we examine the forces that shape a modern cyanobacterial mat from the hot springs of Yellowstone that is thought to grow in a manner similar to an ancient struc...

Many physical phenomena are governed by the aggregation of material. Such processes have been studied in earnest since the early parts of this century and continue to attract considerable interest within areas that range from astrophysics 2 to biology. The most powerful methods for analyzing these phenomena are based on general scaling arguments 5 applied to the number and size distribut...

Viral inactivation and adhesion-aggregation in water are often studied as separate phenomena. When the focus is placed on viral adhesion-aggregation, inactivation is neglected because the phenomena under investigation occur over a short period measured in days. When viral inactivation is studied, adhesion-aggregation phenomena are considered to be negligible because viral survival is traced ove...

The dimerization constants of Safranine T have been determined by studying the dependence of its absorption spectra on the temperature in the range 30–70 ◦C at different total concentrations of Safranine T (1.03×10−5, 1.44×10−5 and 1.73×10−5 M). The monomer–dimer equilibrium of Safranine T has been determined by applying MCR-ALS method on the absorpti...