Radius of Star-Likeness for Certain Subclasses of Analytic Functions

In this paper, we investigate a normalized analytic (symmetric under rotation) function, f, in an open unit disk that satisfies the condition ℜfzgz>0, for some analytic function, g, with ℜz+1−2nzgz>0,∀n∈N. We calculate the radius constants for different classes of analytic functions, including, for example, for the class of star-like functions connected with the exponential functions, i.e., the lemniscate of Bernoulli, the sine function, cardioid functions, the sine hyperbolic inverse function, the Nephroid function, cosine function and parabolic star-like functions. The results obtained are sharp.

Using a partial atomic model from medium-resolution cryo-EM to solve a large crystal structure

Medium-resolution cryo-electron microscopy maps, in particular when they include a significant number of α-helices, may allow the building of partial models that are useful for molecular-replacement searches in large crystallographic structures when the structures of homologs are not available and experimental phasing has failed. Here, as an example, the solution of the structure of a bacteriophage portal using a partial 30% model built into a 7.8 Å resolution cryo-EM map is shown. Inspection of the self-rotation function allowed the correct oligomerization state to be determined, and density-modification procedures using rotation matrices and a mask based on the cryo-EM structure were critical for solving the structure. A workflow is described that may be applicable to similar cases and this strategy is compared with direct use of the cryo-EM map for molecular replacement.

Posterior Temporary Fixation of C1-2 Screw-rod System for Unstable C1 Burst Fracture

Background Whether an unstable C1 burst fracture should be treated surgically or conservatively is controversial. The purpose of this study is to evaluate the effectiveness and motion-preserving function of temporary fixation of C1-2 screw-rod system for the reduction and fixation of unstable C1 burst fracture (type 3 and 4 according to the Gehweiler classification).Patients and Methods We retrospectively reviewed 10 patients who were treated with posterior temporary C1-C2 fixation. We assessed age at surgery, gender, pre- and post-operative VAS, NDI, atlanto-dens interval, lateral mass distance and rotation function of C1-C2 complex.Results 6 males and 4 females were included in our study. The average follow-up duration was 14.1± 1.37 months. The left-to-right ROMs of C1-C2 rotation was 9.6±1.42°. The pre-operative cervical VAS was 8.30±0.48; the post-operative cervical VAS of C1-C2 fusion was 2.90±0.57. The pre-operative VAS for removal was 2.0±0.00, the post-operative VAS for removal was 2.3±0.48; The pre-operative cervical NDI was 81.40%±2.07%, the post-operative cervical NDI of C1-C2 fusion was 18.10%±1.52%. The preoperative NDI for removal was 15.9%±1.20%, The post-operative NDI for removal was 14.5%±1.08%. The pre-operative ADI was 4.43±0.34mm, post-operative ADI was 1.94±0.72mm. The pre-operative LMD was 6.36±0.58mm, post-operative LMD was 1.64±0.31mm.Conclusion Posterior temporary C1-2 fixation can achieve a good fusion, satisfied reduction of C1 burst fracture, relieve the pain, improve the cervical function outcome, but may reduce the rotational ROM of C1-2. Temporary C1- C2 fixation is an alternative technique to manage the C1 burst fracture, but the need for implant removal needs to be questioned. For patients with CT scan before implant removal showing spontaneous fusion, they may potentially not profit from implant removal.

Shoulder Rotation Function following the Sup-ER Protocol in Children with Brachial Plexus Injuries

Background: Our group previously developed an upper extremity repositioning (Sup-ER) protocol for brachial plexus birth injuries (BPBIs) that may improve supination and external rotation (ER) at 2 years of age. Questions were raised about the potential for the protocol to cause internal rotation (IR) deficits. The goal of this study was to explore the longer-term outcomes of the Sup-ER protocol and investigate IR/ER function. Methods: This prospective cross-sectional cohort study examined 16 children older than 4 years of age with significant enough BPBI to be treated with the Sup-ER protocol. Total shoulder and elbow function were assessed, including passive and active ranges of motion and strength of IR and ER. Results: Range of motion (ROM) for most active movements was decreased in the affected compared to unaffected arm. Notably, IR passive ROM was similar in the affected (78.7°) and unaffected arm (82.8°). External rotation strength of the affected arm was weaker (42.8 N) compared to the unaffected arm (57.9 N). IR strength had a greater deficit in the affected (43.2 N) arm compared to the unaffected arm (72.2 N), but both ER and IR showed less deficit than described in the literature. Conclusions: Despite differences in ranges of motion between the affected and unaffected arms, ROMs for the affected arm were comparable to the functional limits as reported in the literature. The Sup-ER protocol shows potential to optimize long-term shoulder rotation function in children with BPBI without compromising IR.

Implementasi Pengamanan Citra Digital Menggunakan Algoritma ICE

Digital imagery is currently very widely used, so it is very vulnerable to data theft by unauthorized parties. In order to maintain the security of digital images can be done by using cryptographic techniques. Cryptographic techniques can encode digital images by encrypting them in the form of passwords that are not understood. ICE is a block cipher published by Kwan in 1997. This algorithm has a structure similar to DES, but with additional bit permutations that do not depend on the key in the rotation function. There are various types of ICE variants, namely Thin-ICE, ICE standard, and ICE-n. The difference between the three is the length of the keyword used and the number of rounds. The Thin-ICE algorithm uses 64 bits and 8 turns. The ICE standard uses 64 bits and 16 round keys. The ICE-n algorithm uses keys 64n bits and 16n turns. The use of this type of algorithm can be adjusted to the needs of users where Thin-ICE has the lowest level of security among the three, while ICE-n is the highest. This algorithm does not become the subject of a patent and the source code can be used freely.Keywords : Cryptography, Digital Image,Algorithm,ICE.

Using Phaser and ensembles to improve the performance of SIMBAD

The conventional approach to search-model identification in molecular replacement (MR) is to screen a database of known structures using the target sequence. However, this strategy is not always effective, for example when the relationship between sequence and structural similarity fails or when the crystal contents are not those expected. An alternative approach is to identify suitable search models directly from the experimental data. SIMBAD is a sequence-independent MR pipeline that uses either a crystal lattice search or MR functions to directly locate suitable search models from databases. The previous version of SIMBAD used the fast AMoRe rotation-function search. Here, a new version of SIMBAD which makes use of Phaser and its likelihood scoring to improve the sensitivity of the pipeline is presented. It is shown that the additional compute time potentially required by the more sophisticated scoring is counterbalanced by the greater sensitivity, allowing more cases to trigger early-termination criteria, rather than running to completion. Using Phaser solved 17 out of 25 test cases in comparison to the ten solved with AMoRe, and it is shown that use of ensemble search models produces additional performance benefits.