Presence of extra roots and canals should be considered before initiation of root canal treatment for the success of endodontic treatment. A mandibular second premolar with three separate roots is very rare and its prevalence has been reported to be around 0.1%. This case report explains non-surgical endodontic treatment of a mandibular second premolar with three separate roots and three separa...

Anatomical variations must be considered in clinical and radiographical evaluations during endodontic treatment. Access cavity modifications may be required for stress free entry to complex anatomy. Higher magnification and illumination can be useful for access cavity preparation and to recognize and locate additional canals. This article describes the diagnosis and clinical management of two c...

A thorough knowledge of root canal anatomy and its variation is necessary for successful completion of root canal procedures. Morphological variations such as additional root canals in human deciduous dentition are rare. A mandibular second primary molar with more than four canals is an interesting example of anatomic variations, especially when three of these canals are located in the distal r...

A healthy 41-year-old male presented for treatment and expressed a desire for smile enhancement. His chief complaint was that his teeth were discoloured and that his upper lip was too thin and flat and combined with deep facial lines made him look old. The oral hygiene status was good and there was no active gingival or periodontal disease. Extra-oral and intra-oral photos and stereophotogrammi...

abstract : before initiating any endodontic therapy, probability of extra canals should be considered. the incidence of three canals in mandibular second premolar has been reported to be 0.46-0.5%. the present report describes nonsurgical endodontic treatment of three mandibular second premolars with three canals. in these cases, three orifices were located in mesiobuccal, distobuccal and lingu...

Phylogenetic networks are leaf-labeled directed acyclic graphs that are used to describe nontreelike evolutionary histories and are thus a generalization of phylogenetic trees. The hybridization number of a phylogenetic network is the sum of all in-degrees minus the number of nodes plus one. The hybridization number problem takes as input a collection of rooted binary phylogenetic trees and ask...

When G is a rooted graph where each edge may independently succeed with probability p, we consider the expected number of vertices in the operational component of G containing the root. This expected value EV (G;p) is a polynomial in p. We present several distinct equivalent formulations of EV (G;p), unifying prior treatments of this topic. We use results on network resilience (introduced by Co...