Some aspects of self-duality and generalised BPS theories

If a scalar eld theory in (1+1) dimensions possesses soliton solutions obeying rst order BPS equations, then, in general, it is possible to nd an in nite number of related eld theories with BPS solitons which obey closely related BPS equations. We point out that this fact may be understood as a simple consequence of an appropriately generalised notion of self-duality. We show that this self-duality framework enables us to generalize to higher dimensions the construction of new solitons from already known solutions. By performing simple eld transformations our procedure allows us to relate solitons with di erent topological properties. We present several interesting examples of such solitons in two and three dimensions.

A Skyrme-like model with an exact BPS bound

We propose a new Skyrme-like model with fields taking values on the sphere S3 or, equivalently, on the group SU(2). The action of the model contains a quadratic kinetic term plus a quartic term which is the same as that of the Skyrme-Faddeev model. The novelty of the model is that it possess a first order Bogomolny type equation whose solutions automatically satisfy the second order Euler-Lagrange equations. It also possesses a lower bound on the static energy which is saturated by the Bogomolny solutions. Such Bogomolny equation is equivalent to the so-called force free equation used in plasma and solar Physics, and which possesses large classes of solutions. An old result due to Chandrasekhar prevents the existence of finite energy solutions for the force free equation on the entire three- dimensional space R3. We construct new exact finite energy solutions to the Bogomolny equations for the case where the space is the three-sphere S3, using toroidal like coordinates.

Antiresorptive drugs (bisphosphonates), atypical fractures and rebound effect: new evidence of similitude

Background: Homeopathy is based on treatment by similitude ('like cures like') administering to sick individuals substances that cause similar symptoms in healthy individuals, employing the secondary and paradoxical action of the organism as therapeutic response. This vital or homeostatic reaction of the organism can be scientifically explained by the rebound effect of drugs, resulting in worsening of symptoms after suspension of treatment. Bisphosphonates (BPs) reduce 'typical' fractures in patients with osteoporosis, but recent studies report 'atypical' fractures of the femur after stopping the BPs, a rebound effect may be the causal mechanism. Method: Review of the literature concerning the relationship between atypical femoral fractures and antiresorptive drugs (bisphosphonates), identifying the pathogenesis of this adverse event. Results: Several studies have described multiple cases of 'atypical' low-impact subtrochanteric stress fractures or complete fractures of the femur. These fractures are often bilateral, preceded by pain in the affected thigh, may have a typical X-ray appearance, and may delayed healing. Rebound of osteoclastic activity after suspension of antiresorptive drugs is a plausible mechanism to explain this phenomenon. Conclusion: As for other classes of drugs, the rebound effect of antiresorptive drugs supports Hahnemann's similitude principle (primary action of the drugs followed by secondary and opposite action of the organism), and clarifies this 'unresolved' issue. Unfortunately, the rebound effect is little discussed among health professionals, depriving them of important knowledge ensure safe management of drugs. Homeopathy (2012) 101, 231-242.

Mandibular Bisphosphonate-Related Osteonecrosis After Dental Implant Rehabilitation: A Case Report

It has been a matter of debate as to whether dental implant therapies are suitable for patients subjected to long-term use of bisphosphonates (BPs). This report presents a case of a 76-year-old woman who developed BPs-related osteonecrosis of the jaw (BRONJ) in the left hemimandible after dental implant exposure. The implants and the necrotic crestal bone were removed, and postoperatively, a delay in tissue healing with bone exposure was noticed. The histologic analysis of the block biopsies revealed a lamellar bone tissue exhibiting necrotic areas and bacterial colonies associated with the bone outer surface. The bone-implant interface showed viable lamellar bone with enlarged vascular spaces in the areas between the implant threads. The possible mechanisms for the loss of implants in BRONJ patients are discussed, and the potential protocols for dental implant rehabilitation for patients under BP therapies are presented. (Implant Dent 2012;21:449-453)

Clinical and image findings in bisphosphonate-related osteonecrosis of the jaws

Abstract: Bisphosphonate-related osteonecrosis of the jaws (BRONJ) is characterized as exposed bone in the jaws for more than 8 weeks in patients with current or previous history of therapy with bisphosphonates (BPs) and no history of radiotherapy in the head and neck. We report a case series of 7 patients with BRONJ and analyze the variations of clinical and imaging signs, correlating them with the presence or absence of bone exposure. Among the patients, 6 were women and 1 was a man, aged 42–79 years. Five of the patients were using zoledronic acid and the other 2 alendronate. The use of BPs varied from 3 to 13 years. In 5 patients, tooth extraction was the triggering event of injuries. Panoramic radiographs and computed tomography (CT) were evaluated by a radiologist blinded to the cases. There were persistent unremodeled extraction socket even several months after tooth extraction in 3 of the cases that were consistent wit CT findings that also showed areas of osteosclerosis and osteolysis. Patients were treated according to the recommendations of the AAOMS, with surgical debridement and antibiotic coverage with amoxicillin in the symptomatic patients. The follow-up of these patients ranged from 8 to 34 months, with a good response to treatment. The image findings in this case series were not specific and showed no difference between each stages of BRONJ (AAOMS, 2009). The image features were similar in presence or absence of exposed bone.