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This study presents a comprehensive analysis of a nonlinear telecommunications model, exploring bifurcation, stability, and wave solutions using Hamiltonian and Jacobian techniques. The investigation begins with a thorough examination of bifurcation behavior, identifying critical points and their stability characteristics, leading to the discovery of diverse bifurcation scenarios. The stability of critical points is further assessed through graphical and numerical methods, highlighting the sensitivity to parameter variations. The study delves into the derivation of both numerical and analytical wave solutions, aligning them with energy orbits depicted in phase portraits, revealing a spectrum of wave behaviors. Additionally, the analysis extends to traveling wave solutions, providing insights into wave propagation dynamics. Notably, the study underscores the efficacy of the planar dynamical approach in capturing system behavior in harmony with phase portrait orbits. The findings have significant implications for telecommunications engineers and researchers, offering insights into system behavior, stability, and signal propagation, ultimately advancing our understanding of complex nonlinear dynamics in telecommunications networks.
RESUMO
Objective:To explore the effects of fluorescence method and improved expansion and collapse method on cardiopulmonary function, immune function and safety during segmental pneumonectomy.Methods:One hundred and fifty-six patients with lung segmental resection operation in Yucheng People′s Hospital from March 2018 to August 2020 were enrolled. They were divided into two groups according to the random number table method, each group with 78 patients. The patients in the observation group were treated with fluorescence method and the patients in the control group were treated with modified expansion collapse method. The operation indexes, immune function and cardiopulmonary function of the two groups were compared, and the incidence of postoperative complications were counted.Results:The intraoperative time and the appearance time of intersegmental plane in the observation group were shorter than those in the control group: (105.33 ± 10.62) min vs. (139.46 ± 12.58) min, (15.46 ± 1.13) s vs. (724.56 ± 65.65) s, there were statistical differences ( P<0.05). After operative for 1, 7 d, the levels of 6 min walking distance, peak expiratory flow rate, percentage of forced vital capacity and percentage forced expiratory volume in 1 second in the observation group were higher than those in the control group: after operative for 1 d: (475.36 ± 10.29) m vs. (412.11 ± 13.33) m, (284.52 ± 10.33) L/min vs. (251.13 ± 12.89) L/min, (85.65 ± 3.21)% vs. (81.13 ± 1.43)%, (83.25 ± 2.55)% vs. (74.49 ± 2.53)%; after operative for 7 d: (510.23 ± 16.66) m vs. (488.33 ± 15.42) m, (302.13 ± 15.58) L/min vs. (285.12 ± 10.22) L/min, (93.46 ± 5.79)% vs. (88.44 ± 5.44)%, (92.25 ± 2.32)% vs. (85.54 ± 2.13)%, there were statistical differences ( P<0.05). After operative for 1, 7 d, the levels of CD 4+/CD 8+, CD 8+, CD 4+ in the observation group were higher than those in the control group: after operative for 1 d: 0.85 ± 0.10 vs. 0.52 ± 0.04, 0.305 ± 0.025 vs. 0.285 ± 0.012, 0.325 ± 0.021 vs. 0.304 ± 0.025; after operative for 7 d: 1.13 ± 0.10 vs. 1.02 ± 0.07, 0.324 ± 0.029 vs. 0.306 ± 0.023, 0.359 ± 0.024 vs. 0.332 ± 0.025, there were statistical differences ( P<0.05). The rate of postoperative complications in the observation group was lower than that in the control group: 2.56%(2/78) vs. 11.54%(9/78), there was statistical difference ( χ2 = 4.79; P = 0.029). Conclusions:Both the fluorescence method and the modified inflation-collapse method have certain therapeutic effects, but the combination of fluorescence method in segmentectomy can provide reliable technical support and reduce the impact on cardiopulmonary function.