scholarly journals Simplicial Perturbation Techniques and Effective Homology

2006 ◽  
pp. 166-177 ◽  
Author(s):  
Rocio Gonzalez-Díaz ◽  
Belén Medrano ◽  
Javier Sánchez-Peláez ◽  
Pedro Real
Keyword(s):  
Perturbation Techniques ◽  
Effective Homology

Matrix Perturbation Techniques for Predetectton Image Processing

1975 ◽  
Vol 4 (1) ◽  
pp. 18-23 ◽  
Author(s):  
L. N. Hazra ◽  
M. De
Keyword(s):  
Image Processing ◽  
Matrix Perturbation ◽  
Perturbation Techniques

Saturated Transformer Inductances Determined By Energy Perturbation Techniques

1982 ◽  
Vol PAS-101 (11) ◽  
pp. 4185-4193 ◽  
Author(s):  
F. Fouad ◽  
T. Nehl ◽  
N. Demerdash
Keyword(s):  
Perturbation Techniques ◽  
Energy Perturbation

Perturbation Analysis of Diffeomorphisms in Contact Dynamical System

2012 ◽  
Vol 529 ◽  
pp. 264-267
Author(s):  
Da Wei Sun
Keyword(s):  
Dynamical System ◽  
Perturbation Analysis ◽  
Contact System ◽  
Hamiltonian Mechanics ◽  
Perturbation Techniques ◽  
Small Perturbations

This paper studies the perturbations of strictly contact diffeomorphisms in contact dynamical system. By constructing new lifting methods for contact system and using some perturbation techniques in Hamiltonian mechanics, this paper proves that there exists an arbitrary small perturbations such that the corresponding function of the strictly contact isotopy does not equal to a constant at any time.

CRISPR/Cas9 has introduced new gene therapy possibilities for muscular dystrophies

2021 ◽  
Author(s):  
Moataz Dowaidar
Keyword(s):  
Satellite Cells ◽  
Muscular Dystrophies ◽  
Future Research ◽  
Published Data ◽  
End Joining ◽  
Track Record ◽  
Effective Homology ◽  
Vector Targeting ◽  
Shape Of Nanoparticles

Advancements in using CRISPR/Cas9 have introduced a host of new therapy possibilities for muscular dystrophies (MDs). There is a definite feeling of hope in the industry, but other barriers lay ahead, and they will define the future of MD gene editing. The ambiguity surrounding AAV transduction of satellite cells in vivo must be explained so that, if required, effort may be focused on optimizing vector targeting. Although the satellite cell correction needs are evident, it must be determined experimentally if high muscle turnover has a deleterious effect on CRISPR approaches. Another issue with muscular HDR is its low editing efficiency. Even outside the MD, exogenous, effective DNA integration would open up a slew of new possibilities.Either conventional HDR must be upgraded, or alternative techniques must be developed. The fact that both myotubes and latent satellite cells are post-mitotic means the latter are the most effective. Homology-independent targeted integration (HITI), homology-mediated end joining (HMEJ) and prime editing are three novel potentials. Duplication removal is another technique to restore full-length proteins. Duplications are the second most frequent DMD mutation, and a single sgRNA technique was used to restore dystrophin. To date, CRISPR/Cas9-mediated duplication removal has only been evaluated in DMD patient cells and must be tested in vivo. Because of their demonstrated track record in in vivo research and clinical trials, AAVs are expected to be employed in early generations of MD CRISPR therapy. Currently, AAVs may be the biggest choice, but future drugs will almost probably require a different delivery approach. It may take the shape of nanoparticles, which may carry a large range of transiently expressed payloads, while being very variable. If satellite cells can not be repaired, their capacity to escape immune reactions is crucial. To decrease the effects of muscle turnover, re-administration of nanoparticles may be utilized to treat MD throughout one's life. However, effective nanoparticle dosing for CRISPR in vivo editing has yet to be established in the muscle. Because this was not an AAV problem, the focus should be on new compositions of nanoparticles rather than improving the CRISPR/Cas9 system. The lack of published data suggests that nanoparticles' systemic muscle transport remains a considerable challenge. Due to muscle volume in the human body and the need to target muscles within the thoracic cavity, local intramuscular injections are not practical. Future research will focus primarily on developing an effective, muscle-specific nanoparticle that can be administered through circulation. The challenges ahead are tremendous, but with the appropriate focus and resources, answers will emerge, bringing therapeutic genome editing closer to the clinic than ever. While this research focused on DMD, the mentioned principles and methodology may and will undoubtedly be extended to several other MDs.

Determination of Instability Boundaries for a Highly Flexible Prismatic-Jointed Robot Performing Repetitive Maneuvers

1991 ◽  
Author(s):  
Keith W. Buffinton
Keyword(s):  
Floquet Theory ◽  
Equations Of Motion ◽  
Perturbation Techniques ◽  
Axial Motion ◽  
The Third ◽  
Straightforward Application ◽  
Method Yield ◽  
Robotic Devices ◽  
Axially Moving

Abstract Presented in this work are the equations of motion governing the behavior of a simple, highly flexible, prismatic-jointed robotic manipulator performing repetitive maneuvers. The robot is modeled as a uniform cantilever beam that is subject to harmonic axial motions over a single bilateral support. To conveniently and accurately predict motions that lead to unstable behavior, three methods are investigated for determining the boundaries of unstable regions in the parameter space defined by the amplitude and frequency of axial motion. The first method is based on a straightforward application of Floquet theory; the second makes use of the results of a perturbation analysis; and the third employs Bolotin’s infinite determinate method. Results indicate that both perturbation techniques and Bolotin’s method yield acceptably accurate results for only very small amplitudes of axial motion and that a direct application of Floquet theory, while computational expensive, is the most reliable way to ensure that all instability boundaries are correctly represented. These results are particularly relevant to the study of prismatic-jointed robotic devices that experience amplitudes of periodic motion that are a significant percentage of the length of the axially moving member.

Derivation of the Explicit Solution of the Inverse Involute Function and its Applications

1992 ◽  
Author(s):  
Harry Hui Cheng
Keyword(s):  
Series Solution ◽  
Asymptotic Series ◽  
Explicit Solutions ◽  
Series Solutions ◽  
Perturbation Techniques ◽  
Pocket Calculator ◽  
Practical Applications ◽  
Involute Gears ◽  
Simple Expansion ◽  
Explicit Series Solutions

Abstract The involute function ε = tanϕ – ϕ or ε = invϕ, and the inverse involute function ϕ = inv−1(ε) arise in the tooth geometry calculations of involute gears, involute splines, and involute serrations. In this paper, the explicit series solutions of the inverse involute function are derived by perturbation techniques in the ranges of |ε| < 1.8, 1.8 < |ε| < 5, and |ε| > 5. These explicit solutions are compared with the exact solutions, and the expressions for estimated errors are also developed. Of particular interest in the applications are the simple expansion ϕ = inv−1(ε) = (3ε)1/3 – 2ε/5 which gives the angle ϕ (< 45°) with error less than 1.0% in the range of ε < 0.215, and the economized asymptotic series expansion ϕ = inv−1 (ε) = 1.440859ε1/3 – 0.3660584ε which gives ϕ with error less than 0.17% in the range of ε < 0.215. The four, seven, and nine term series solutions of ϕ = inv−1 (ε) are shown to have error less than 0.0018%, 4.89 * 10−6%, and 2.01 * 10−7% in the range of ε < 0.215, respectively. The computation of the series solution of the inverse involute function can be easily performed by using a pocket calculator, which should lead to its practical applications in the design and analysis of involute gears, splines, and serrations.

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