Explicit solutions to fractional diffusion equations via Generalized Gamma Convolution

In this paper we deal with Mellin convolution of generalized Gamma densities which leads to integrals of modified Bessel functions of the second kind. Such convolutions allow us to explicitly write the solutions of the time-fractional diffusion equations involving the adjoint operators of a square Bessel process and a Bessel process

Questions about Household Consumption in Surveys

Household total expenditure (consumption) is a very important phenomenon in many research areas. The problem is how to get precise information about the consumption from each household and at the same time not to make the questionnaire so long and involved that it becomes a burden to the respondent. In this paper is evidence from several sources on the usefulness of recall consumption questions. Valid information can be collected by adding specific recall questions to general purpose surveys. There are a few recommendations on how to do so.Households, Consumption, Surveys

The mechano-chemistry of cytoskeletal force generation

In this communication, we propose a model to study the non-equilibrium process by which actin stress fibers develop force in contractile cells. The emphasis here is on the non-equilibrium thermodynamics, which is necessary to address the mechanics as well as the chemistry of dynamic cell contractility. In this setting we are able to develop a framework that relates (a) the dynamics of force generation within the cell and (b) the cell response to external stimuli to the chemical processes occurring within the cell, as well as to the mechanics of linkage between the stress fibers, focal adhesions and extra-cellular matrix.Comment: 22 pages, 6 figures, 1 table, accepted in Biomechanics and Modeling in Mechanobiolog