This paper develops a pricing and inventory model of a supply chain composing one supplier and two manufacturers in which the supplier sells its product to two competing manufacturers. Each manufacturer faces a deterministic demand that depends on his/her own and the other competitor sale price. Selling price for the supplier is time dependent and increment function.Both amelioration and deteri...

We discuss the view that the folding of many, perhaps most, integral membrane proteins can be considered as a two-stage process. In stage I, hydrophobic alpha-helices are established across the lipid bilayer. In stage II, they interact to form functional transmembrane structures. This model is suggested by the nature of transmembrane segments in known structures, refolding experiments, the asse...

Viroporins are small, α-helical, hydrophobic virus encoded proteins, engineered to form homo-oligomeric hydrophilic pores in the host membrane. Viroporins participate in multiple steps of the viral life cycle, from entry to budding. As any other membrane protein, viroporins have to find the way to bury their hydrophobic regions into the lipid bilayer. Once within the membrane, the hydrophobic h...

Modeling the demand for a portfolio of products as a function of price is a classical problem in operations with applications in retail and revenue management. Retailers have started to change their products’ prices frequently giving them access to vast amounts of data on aggregate sales at different price configurations. According to a recent Wall Street Journal article, the price of a microwa...

Data Envelopment Analysis (DEA) is a widely used mathematical programming approach for evaluating the relative efficiency of Decision Making Units (DMUs). Conventional DEA methods treat DMUs as ‘‘black boxes’’, focusing entirely on their relative efficiencies. We propose an efficient two-stage fuzzy DEA model to calculate the efficiency scores for a DMU and its sub-DMUs. We use the Stackelberg ...

A model of biological effects of ionizing particles, especially of protons and other ions, is proposed. The model is based on distinguishing the single-particle and collective effects of the underlying radiobiological mechanism. The probabilities of individual particles causing severe damage to DNA, their synergetic or saturation combinations, and the effect of the cellular repair system are ta...