In this paper, we study, in details the derivation of the variational formulation corresponding to functional with deviating arguments corresponding to movable boundaries. Natural or transversility conditions are also derived, as well as, the Eulers equation. Example has been taken to explain how to apply natural boundary conditions to find extremal of this functional.
The Makhoul Dam project proposed to be established is considered one of the strategic projects in Iraq as it works to insurance large quantity of water spare in flood seasons, increase the storage capacity of the dams in Iraq, as well as increase food security. The Makhool Dam is located on Tigris River in Salah al-Din Governorate, and 8 km south of the meeting point of the Tigris River with the Lower Zab River. The lake area is about 256 km2. In this research, a mathematical model was prepared by using HEC-RAS Two Dimension Software to analyze the velocity patterns and water depths inside makhool dam reservoir at the highest operational water elevation, based on the designs prepared
The management of anger is problematic for many people and it is a particularly important issue for persons with substance use disorders (SUD). The paper reviews the research studies dating back to 2005 on how to help persons with SUD manage anger. The literature reveals that various pharmaceutical and non-pharmacological approaches have been studied to help persons with SUD manage their anger. In chronic and lower risk situations non-pharmacological are the first line approaches, they include anger management training, cognitive-behavioral based treatments, exercising and relaxing, music therapy and empathy. Atypical antipsychotic and medications for opioid use disorders (MOUD) are also widely used. In acute and high risk of violen
... Show MoreThis paper considers the nonlinear homogeneous fractional Burger's equation as a type of nonlinear fractional partial differential equations (FPDE). Our goal in this paper is to show that an initial value problem (IVP) can be modified with a second initial condition when (α ∈ ( 1,2 ]) as the velocity of the movement, and the obtained solution agrees with the nature of the wave with space and time for the problem. The Caputo fractional derivative is used in all the fractional derivatives. Also, the algorithm of the Laplace transform decomposition method (LTDM) for fractional PDEs is presented. The approximate solution converges to the exact solution in Theorem 1. Also, a numerical simulation is made to confirm the theoretical resu
... Show MoreLeishmaniasis is caused by certain intracellular Leishmania species and is common in the tropics, where it exhibits a wide range of clinical manifestations. Both cellular and humoral immunological responses play crucial roles in disease progression. This study identified the fundamental role of B lymphocytes during the progression of leishmaniasis in human hosts. A cross-sectional study of patients with cutaneous leishmaniasis (CL) and visceral leishmaniasis (VL) from different parts of Iraq was conducted, and their respective serum IgE levels were measured before any treatment was administered. Sandwich ELISA was used for quantitative measurement of IgE in CL, VL, and control subjects. The results revealed a higher level of IgE con
... Show MoreEffective management of advanced cancer requires systemic treatment including small molecules that target unique features of aggressive tumor cells. At the same time, tumors are heterogeneous and current evidence suggests that a subpopulation of tumor cells, called tumor initiating or cancer stem cells, are responsible for metastatic dissemination, tumor relapse and possibly drug resistance. Classical apoptotic drugs are less effective against this critical subpopulation. In the course of generating a library of open-chain epothilones, we discovered a new class of small molecule anticancer agents that has no effect on tubulin but instead kills selected cancer cell lines by harnessing reactive oxygen
Intrusion Detection Systems (IDS) is the main defense mechanism deployed by the current networks to prevent cyber threats. Recurrent Neural Network (RNN) are also a novel IDS structure that replaces the conventional training and testing mechanism. The strategy encodes network traffic data as biological sequences using amino acid codons in such a fashion that the RNN is capable of effectively analyzing temporal and sequence data patterns. RNN architecture design adopts embedding layers to handle codon representations and Long Short-Term Memory (LSTM) layers to perform sequential data learning, which is followed by a fully connected network to perform classification functions, which preserve high feature extraction and classification
... Show MoreRadiofrequency catheter ablation is now widely recognized as a primary treatment for a range of arrhythmias and serves as the first-line therapy fo...