Cytokine profiles in patients with lower limb ischaemia

postprin

A direct Approximation Method to solve OCP Using Laguerre Functions

This paper presents an approximate method to solve unconstrained optimal control problem (OCP).This method is classified as a direct method in which an OCP is converted into a mathematical programming problem.The proposed direct method is employed by using the state parameterization technique with the aid of Laguerre polynomials and Laguerre functions to approximate the system state variables. To facilitate the computations within this method, new properties their proofs of Laguerre polynomials and Laguerre functions are given with proof.Furthermore, we will derive the condition under which the proposed method with Laguerre functions converges to the solution of the OCP equation. We will also show that for N (the number of basis functions) sufficiently large, the approximate states stabilize the system.The proposed method has been applied on several numerical examples and we find that it gives better or comparable results compared with some other methods

A Novel Hybrid Runge Kutta Optimizer with Support Vector Machine on Gene Expression Data for Cancer Classification

It is crucial to accurately categorize cancers using microarray data. Researchers have employed a variety of computational intelligence approaches to analyze gene expression data. It is believed that the most difficult part of the problem of cancer diagnosis is determining which genes are informative. Therefore, selecting genes to study as a starting point for cancer classification is common practice. We offer a novel approach that combines the Runge Kutta optimizer (RUN) with a support vector machine (SVM) as the classifier to select the significant genes in the detection of cancer tissues. As a means of dealing with the high dimensionality that characterizes microarray datasets, the preprocessing stage of the ReliefF method is implemented. The proposed RUN–SVM approach is tested on binary-class microarray datasets (Breast2 and Prostate) and multi-class microarray datasets in order to assess its efficacy (i.e., Brain Tumor1, Brain Tumor2, Breast3, and Lung Cancer). Based on the experimental results obtained from analyzing six different cancer gene expression datasets, the proposed RUN–SVM approach was found to statistically beat the other competing algorithms due to its innovative search technique