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Bifurcation analysis and Multiobjective Nonlinear Model Predictive Control (MNLMPC) calculations were performed on a model of circadian oscillations of the Period (PER) and Timeless (TIM) proteins in Drosophila. The MATLAB program MATCONT was used to perform the bifurcation analysis. The optimization language PYOMO was used along with the state-of-the-art global optimization solvers IPOPT and BARON for the MNLMPC calculations. The bifurcation analysis revealed oscillation causing Hopf bifurcations while the MNLMPC calculations revealed the existence of spikes in the control profiles. Both Hopf bifurcation points and the control profile spikes were eliminated using an activation factor involving the hyperbolic tangent function.

Purpose: Stroke frequently causes severe deficits in upper limb function, which makes it difficult for patients to carry out daily tasks. An organized home-based intervention called the Graded Repetitive Arm Supplementary Program (GRASP) was developed to help stroke patients regain function in their hands and arms. This systematic review assesses the data demonstrating beneficial effects of the GRASP approach on hand function, gross and fine motor control of the upper limb in individuals post-stroke.Methods: A systematic search was performed in databases including PubMed, Scopus, CINAHL, and Cochrane Library up to April 2025. We searched the data using Keywords such as “GRASP,” “Graded Repetitive Arm Supplementary Program,” “stroke rehabilitation,” “upper limb recovery,” “fine motor skills,” and “gross motor control.” Inclusion criteria were randomized controlled trials (RCTs), quasi-experimental studies, and cohort studies involving adult stroke survivors undergoing GRASP. Studies were excluded if they were non-English and focused on other forms of intervention. Quality assessment was performed using the PEDro scale and Cochrane risk-of-bias tool.Results: Out of 243 studies initially screened, 8 met the inclusion criteria. Most studies reported significant improvements in upper limb function, including enhanced hand dexterity, grip strength, and coordination following participation in GRASP programs. High adherence rates and participant satisfaction were consistently noted. Some studies indicated that benefits were maintained at follow-up, suggesting long-term efficacy. Common outcome measures included the Fugl-Meyer Assessment (FMA), Box and Block Test (BBT), and Action Research Arm Test (ARAT).Discussion: The findings suggest that GRASP is an effective adjunct to conventional stroke rehabilitation, particularly for enhancing hand function and motor control. The structured yet flexible nature of GRASP allows for scalability and adaptability to various patient needs. Limitations of the reviewed studies include small sample sizes, heterogeneity in intervention duration, and variability in outcome measures. Further research with standardized protocols and larger samples is warranted.Conclusion: The GRASP approach appears to be a promising intervention for improving functional ability of the hand, and gross and fine motor control in the upper limbs post-stroke. Incorporating GRASP into home-based rehabilitation could enhance recovery and reduce long-term disability. Continued research is essential to establish best practices for implementation and to optimize patient outcomes.

A study reports a novel synthesis of pure copper and the effect of laser energy on optical properties and the particle size of colloidal copper nanoparticles prepared by pulsed laser ablation in liquid (PLAL). Different laser energies (600,700,800 mJ) of pulsed laser (Nd: YaG) were used to prepare colloidal copper nanoparticles size of about (40.4 nm - 91.3 nm) which were measured using Field Emission Scanning Electron Microscopy (FESEM). The presence of Copper NPs in distilled water, respectively, with nanostructure in the shape of a spherical construction and size of about 50 nm were measured using Transmission Electron Microscopy (TEM). The absorption spectrum and Surface Plasmon Resonance (SPR) were measured to study the optical properties of the prepared copper nucleus, and the results showed that the SPR and high optical density were found in the 320 wavelengths at the laser energy of (600 mJ), present at wavelength 333 to the laser energy (700 mJ) and shifted to a lower wavelength (blue shift) with a higher optical density, a wavelength of 341 at the laser energy of (800 mJ).