Open Access Original Research Article

Evaluation of Total Antioxidant Capacity (TAS) by Using Fuzzy Logic

Mehmet Yilmaz

Journal of Advances in Mathematics and Computer Science, Page 433-446
DOI: 10.9734/BJMCS/2015/15919

Oxidative stress reflects an imbalance between the manifestation of systemic detoxification of reactive oxygen species and reactive intermediates or easily a biological system's ability to repair the damage caused. Normal redox peroxides and disorders of cells, proteins, lipids and deoxyribonucleic acid (DNA) of the cell including the free radical damage to all components may lead to toxic effects. Additionally, some reactive oxidative species act as cellular redox signaling messengers. Thus, oxidative stress, may cause disruption in normal cellular signaling mechanisms. Oxidative stress is thought to lead major in neurodegenerative diseases such as Amyotrophic Lateral Sclerosis (ALS), Parkinson's disease, Alzheimer's disease, Huntington's disease, and Multiple Sclerosis (MS). Indirect proof by monitoring biomarkers like reactive oxygen species, and reactive nitrogen species production, antioxidant defense indicates oxidative damage might be concerned to the pathogenesis of these diseases, while cumulative oxidative stress with disrupted mitochondrial respiration and mitochondrial damage are related with Alzheimer's disease, Parkinson's disease, and other neurodegenerative diseases.
Levels of total antioxidant capacity (TAS) reflect the total effect all antioxidants found in plasma and body fluids. Antioxidants such as albumin, uric acid, ascorbic acid, vitamin E and bilirubin are molecules forming the main contribution to the total antioxidant capacity. In this study, we tried to determine total antioxidant capacity of patients using systolic, diastolic blood pressure and age values of patient.

Open Access Original Research Article

Conditions for Existence or Nonexistence of Positive Solutions to Elliptic General Model

Joon Hyuk Kang, William Tritch

Journal of Advances in Mathematics and Computer Science, Page 447-457
DOI: 10.9734/BJMCS/2015/17076

Two species of animals are competing or cooperating in the same environment. Under what
conditions do they coexist peacefully? Or under what conditions does either one of the two species
become extinct, that is, is either one of the two species excluded by the other? We investigate this
phenomenon from a mathematical point of view.
In this paper we concentrate on coexistence solutions of the competition or cooperation model

This system is the general model for the steady state of a competitive or cooperative interacting
system depending on growth conditions for g and h. The techniques used in this paper are supersub
solutions and some detailed properties of the solution of logistic equations (See [1]).

Open Access Original Research Article

On Natural Characterizations of Tensor Integrability

Mangatiana A. Robdera

Journal of Advances in Mathematics and Computer Science, Page 458-469
DOI: 10.9734/BJMCS/2015/17331

We revisit the definition of the tensor integrability introduced in [1], and prove some useful characterizations that provide a foundation for studying relevant properties to the integration theory. As applications, we obtain some representation theorems for the projective and injective tensor products of the space of scalar integrable functions with Banach spaces.

Open Access Original Research Article

Vanishing g-Bochner Tensor of Viasman-Gray Manifold

Habeeb M. Abood, Ibtehal A. Abed

Journal of Advances in Mathematics and Computer Science, Page 470-481
DOI: 10.9734/BJMCS/2015/16936

The aim of this paper is to study the geometric properties of vanishing g-Bochner tensor of Viasman-Gray manifold. The necessary conditions for which the Viasman-Gray manifold is a manifold of vanishing g-Bochner tensor have been found. Finally, an application of vanishing g-Bochner tensor of Viasman-Gray manifold has been given.

Open Access Original Research Article

Implicit One-Step Legendre Polynomial Hybrid Block Method for the Solution of First-Order Stiff Differential Equations

J. Sunday, Y. Skwame, I. U. Huoma

Journal of Advances in Mathematics and Computer Science, Page 482-491
DOI: 10.9734/BJMCS/2015/16252

We formulate an implicit hybrid block method for the numerical solution of stiff first-order Ordinary Differential Equations (ODEs) using the Legendre polynomial as our basis function via interpolation and collocation techniques. The paper further investigates the basic properties of the implicit hybrid block method and found it to be zero-stable, consistent and convergent. The method was also tested on some sampled stiff problems and found to perform better than some existing ones with which we compared our results.

Open Access Original Research Article

Symmetric Rings with Involutions

Wafaa Mohammed Fakieh

Journal of Advances in Mathematics and Computer Science, Page 492-505
DOI: 10.9734/BJMCS/2015/17267

Two fairly useful notions to support some commutativity conditions for non commutative rings are symmetry and reversibility. Our aim in this note is to study *- symmetric rings, where * is an involution on the ring. A ring R with involution * is called *- symmetric if for any elements a,b,c∈R, abc=0 ⇒ acb*=0. Every *- symmetric ring with 1 is symmetric but the converse need not be true in general, even for the commutative rings. We discussed some characterizations in which these two notions and the notions of reversibility and *- reversibility coincide. We have extended *- symmetric rings to factor polynomial rings that are isomorphic to rings of Barnett matrices.

Open Access Review Article

New Approaches for Decision Making in Information Systems via Decision Diagrams

A. S. Salama

Journal of Advances in Mathematics and Computer Science, Page 418-432
DOI: 10.9734/BJMCS/2015/17456

In this paper, new approach for data representation using decision diagrams in information systems are studied. We indicate data using binary decision diagrams and ID3-Decision tree learning algorithm to reduct information systems. Some algorithms are built and developed to refinement the process of decision making in information systems. Illustrative figures and examples are presented and real life application examples are given.