Human MET proto-oncogene, receptor tyrosine kinase ELISA Kit

SRAM-based FPGAs have found many applications in modern computer systems. In these systems, high-performance computing applications are executed as task graphs in which reliability and performance are crucial constraints. In this paper, an exact method is presented to efficiently optimize the reliability and performance of synchronous task graphs running on SRAM-based FPGAs in harsh environments. Solving this optimization problem leads to the generation of a true Pareto set of Fault Tolerance (FT) techniques. Each solution of this set determines FT techniques of the tasks and leads to specific reliability and makespan. Thus, this solution set trades off between reliability and makespan, and one of the solutions that best meets system requirements can be applied to the running tasks to optimize the reliability and performance. The proposed technique is novel as it obtains the true Pareto set of FT techniques of the whole task graph by partitioning the task graph into its segments, optimizing different segments separately, and joining the obtained solutions. This partitioning strategy leads to reduce the computation time significantly. In this paper, it is mathematically proved that the proposed partitioning strategy generates global optima from the local ones without losing any optimal solutions. The experiments show that the proposed technique improves the MTTF of real-world and random task graphs by 46.30% on average without any negative effects on the performance. Then, the efficiency of the computation time of the proposed technique is demonstrated by conducting several experiments on small-, medium-, and large-size synchronous task graphs and comparing the results with other exact and evolutionary optimization methods. Finally, supplementary experiments in dynamic environments show that the proposed technique outperforms adaptive state-of-the-art FT techniques in terms of reliability and makespan improvement.

This article provides for the first time a general analytical solution to the Lane-Emden equation of the first kind. So far only three known analytical solutions are found in the literature, for the following values of n: 0, 1 and 5. A common feature these three solutions share is their boundary conditions: theta(xi)vertical bar(xi=0) = 1 and d theta(xi)/d xi vertical bar(xi=0) = 0. If a third boundary condition d(2)theta(xi)/d xi(2)vertical bar(xi=0) = - 1 is used, only the solution for n = 1 is able to meet all three. In order to address this difference, our solution aims to be more inclusive and takes into account theta (xi) = 1/xi and the constant solution. By keeping tau in parametric form, we found out that theta(xi(tau)) = 1/xi(tau) -> 1 when xi -> 0. Thus proving that 1/xi -> 1 in the origin. It is worth noting that upon integrating the Lane-Emden equation, we came across five parameters. Three of them depend on the three boundary conditions used and two can be adjusted numerically. In order to demonstrate the validity of our solution, we tested it on six cases of interest to the scientific community related to studies on real stars and exoplanets. The adiabatic exponents are n = 1.5, n = 2, n = 2.592, n = 3, n = 3.23 and n similar or equal to 5 contained in the intervals 1 < n < 5 and 5 less than or similar to n < 9. It is worth noting that four of these cases are of particular importance; n = 1.5, which corresponds to an adiabatic star supported by the pressure of non-relativistic gas; n = 3, which corresponds to an adiabatic star supported by the pressure of an ultra -relativistic gas. Finally, n = 2.592 and n = 3.23, which correspond to exoplanets. The obtained solution of the Lane-Emden equation of the first kind proves valid for any value of n.