Kolmogorov–Johnson–Mehl–Avrami kinetics for non-isothermal phase transformations ruled by diffusional growth

Abstract We report on the functional form of the rate of the transformed volume fraction in non-isothermal phase transitions occurring by nucleation and diffusional growth. The microscopic growth rate is computed by solving the diffusion problem for time-dependent diffusion coefficient. The growth law is further employed in the Kolmogorov– Johnson–Mehl–Avrami (KJMA) theory for describing the time dependence of the transformed volume at constant heating rate. It is demonstrated that the transformation rate separates in the product of volume fraction and actual temperature functions. In the framework of the KJMA approach this factorization is exact. It is also shown that for real systems (due to the high values of the reduced activation energies for nucleation and growth), the kinetics is in excellent agreement with the stretched exponential function appropriate for isothermal transformations

The Aging Hair Pigmentary Unit

NoAs a highly visual and social species we communicate significantly via our physical appearance. Thus, it is unsurprising that the phenotypic aspects (including color) of our skin and hair feature prominently in such communication. Perhaps, one of the more potent reminders of aging is the change in pigmentation from birth to puberty and through to young adulthood, middle age, and beyond. Indeed, the hair bulb melanocyte may be viewed as an exquisitely sensitive aging sensor. In this context, we can appreciate that the loss of pigmentation from the hair tends to be earlier and much more striking than the age-associated pigmentation changes that we see in the epidermis. This phenotypic difference between the hair follicle and the epidermis-melanocyte subpopulations is of considerable interest, not least as both subpopulations originate from the same embyrologic neural crest and that the melanoctye stem cells in the adult hair follicle can occupy vacant niches in the epidermis. A major source of the differential aging of melanocytes in the hair bulb vs. the epidermis is likely due to the former¿s stringent coupling to the hair growth cycle when compared with the latter¿s continuous and UV-sensitive melanogenesis. Also likely to be involved is the maintenance of permissive microenvironments in these different skin compartments including their differing redox environments and variable connectivity with neuroendocrine axis. Over the last few years, we and others have striven to develop advanced cell culture methodologies for isolated hair follicle melanocytes and for intact anagen hair follicle organ culture, which may provide research tools to elucidate the regulatory mechanisms of hair follicle pigmentation. Others have assessed the robustness of the hair follicle-melanocyte stem compartment with age and other functional stressors. In the long term, it may be feasible to develop strategies to modulate some of these aging-associated changes in the hair follicle that impinge particularly of the melanocyte populations