Continuing the work started in 11], in this paper we examine the construction of Gauss-Markov processes with xed reciprocal dynamics. We show how to construct Gauss-Markov processes, de-ned on a nite interval, having xed initial and end-point densities and belonging to a given reciprocal class. The problem of changing the end-point density of a Markov process, while remaining in the same recipr...

A simple surface plasmon resonance (SPR) ellipsometry equipped with a dove prism and micro-fluidic flow cell is adopted to investigate and study basic properties of biomolecular interaction. Using a dove prism greatly simplifies the optical alignment and the use of micro-fluidic cell helps reduce significantly the volume of the biological sample required in the experiment. By recording the elli...

The Steiner problem asks for the shortest network that spans a given set of fixed points in the Euclidean plane. The problem is NP hard. The result of simulation of an idealized “wet” film connecting fixed points is a length-minimizing curve. Increasing the exterior pressure step by step we are able to achieve the film configuration near to the Steiner minimal tree. “Dead-point” situations may ...

Over the past decade, many applications were intended for filtration by membrane technology especially the thin film composite (TFC) membranes. In advanced developments of thin film membranes, an attempt was made to spread a new generation of membranes called thin film nano composite (TFN) membranes. However, in the last generation of TFNs, an ultrathin selective film of nanoparticles is coated...

Several explanations can be found in the literature on how colorectal cancer begins. There is however some agreement on the fact that its carcinogenic process is a result of several genetic mutations of normal cells. The colon epithelium is characterized by millions of invaginations, very small cavities, called crypts, where most of the cellular activity occurs. It is consensual in the medical ...

Sheet and film processes include polymer film extrusion, coating processes of many types, paper manufacturing, sheet metal rolling, and plate glass manufacture. Identification, estimation, monitoring, and control of sheet and film processes are of substantial industrial interest since effective control means reduced usage of raw materials, increased production rates, improved product quality, e...