Background: Alveolar ridge expansion is proposed when the alveolar crest thickness is ≤5 mm. The screw expansion technique has been utilized for many years to expand narrow alveolar ridges. Recently, the osseodensification technique has been suggested as a reliable technique to expand narrow alveolar ridges with effective width gain and as little surgical operating time as possible. The current study aimed to compare osseodensification and screw expansion in terms of clinical width gain and operating time. Materials and methods: Forty implant osteotomies were performed in deficient horizontal alveolar ridges (3–5 mm). A total of 19 patients aged 21–59 years were randomized into two groups: the screw expansion group, which involved 20 osteotomies performed by screw expander drills, and osseodensification group, which comprised 20 osteotomies achieved by osseodensification drilling technique. One millimetre below the alveolar bone crest was measured with a bone caliper at two intervals (before implant osteotomy and after implant osteotomy), and operating time was assessed. Results: Before expansion, the mean alveolar ridge width was 4.20 ± 0.71 mm in the osseodensification group and 4.52 ± 0.53 mm in the screw-expansion group. No statistically significant difference in alveolar bone width before expansion was found between the groups (P > 0.05). After the expansion of the alveolar ridge with osseodensification or screw expansion techniques, the average ridge width was 5.48 ± 0.57 mm in the osseodensification group and 5.71 ± 0.53 mm in the screw-expansion group. Difference in width gain postoperatively between the groups was 0.09 mm, which was not statistically significant (P > 0.05). According to operating time, osseodensification consumed 6.21 ± 0.55 minutes, and screw expansion required 16.32 ± 0.60 minutes for a single implant with a significant difference between the groups (P < 0.0001). Conclusion: Alveolar bone expansion by osseodensification showed comparable width gain and less surgical operating time compared with expansion by screw expansion technique.
The purpose of this paper is to define fuzzy subspaces for fuzzy space of orderings and we prove some results about this definition in which it leads to a lot of new results on fuzzy space of orderings. Also we define the sum and product over such spaces such that: If f = < a1,…,an > and g = < b1,…bm>, their sum and product are f + g = < a1…,an, b1, …, bm> and f × g =
Recently, complementary perfect corona domination in graphs was introduced. A dominating set S of a graph G is said to be a complementary perfect corona dominating set (CPCD – set) if each vertex in is either a pendent vertex or a support vertex and has a perfect matching. The minimum cardinality of a complementary perfect corona dominating set is called the complementary perfect corona domination number and is denoted by . In this paper, our parameter hasbeen discussed for power graphs of path and cycle.
numerical study is applied to the mercury-argon mixture by solving the boltzman transport equation for different mixture percentage.
Tigris River water that comes from Turkey represents the main water resource of this river in Iraq. The expansion in water river implementations has formed a source of trouble for the workers in the water resources management field in Iraqi. Unfortunately, there is no agreement between Iraq and Turkey till now to share the water of this international river. Consequently, the optimal operation of water resources systems, particularly a multi-objective, multi-reservoir, is of the most necessity at the present time.
In this research two approaches, were used the dynamic programming (DP) approach and simulation model to find the optimal monthly operation of Ilisu Dam (from an Iraqi point of view) through a comp
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