In this paper, we present primal-dual interior-point methods (IPMs) for convex quadratic programming (CQP) based on a new twice parameterized kernel function (KF) with a hyperbolic barrier term.  To our knowledge, this is the first KF with a twice parameterized hyperbolic barrier term. By using some conditions and simple analysis, we derive the currently best-known iteration bounds for Large- and small-update methods, namely, $\textbf{O}\big(\sqrt{n}\log n\log\frac{n}{\epsilon}\big)$ and $\textbf{O}\big(\sqrt{n}\log\frac{n}{\epsilon}\big)$, respectively, with  special choices of the parameters. Finally, some numerical results regarding the practical performance of the new proposed KF are reported.

Excessive bacteria and nutrient malabsorption are the two major events need to clarify small intestinal bacterial overgrowth (SIBO). Clinically, SIBO is defined as a condition with the existence of > 106 colony-forming units (CFU) bacteria in the human intestine. It is the only generally accepted criteria to diagnose the SIBO in clinical practice. The main problem is that several clinical disorders are happening in patients with SIBO; thus actual discrimination will be relatively difficult. Exploration of the current status of SIBO management and suggesting rifaximin as a main clinical target is our optimal goal. Although the quality of performed randomized clinical trials needs to be re-evaluated, rifaximin seems the only suitable option for treatment of SIBO. Undoubtedly, new treatment should include the correction of ongoing small intestinal microflora with proper antibiotic therapy. Personalized medicine is another option that should be studied thoroughly before entering the area of SIBO treating using proton pump inhibitors. Finally, we have to focus on the available option to have better management of patients with SIBO.

Neurofibromatosis type-1 (NF1), also known as Von Recklinghausen disease, is an autosomal dominant disorder with incidence of one per 4000. Neurofibromas are benign, heterogeneous, peripheral nerve sheath tumors coming up from the connective tissue of peripheral nerve sheaths, particularly the endoneurium. Visceral involvement in disseminated neurofibromatosis is considered rare. Neurofibroma occurs most frequently in the stomach and jejunum, but colon and anorectal canal may also be involved. Gastrointestinal neurofibromas may lead to bleeding, obstruction, intussusception, protein-losing enteropathy and bowel perforation. We encountered a case of diffusely involving the anorectal area by huge neurofibroma, which resulted in pelvic pain with watery diarrhea and urgency.