This paper presents a restricted SIRmathematicalmodel to analyze the evolution of a contagious infectious disease outbreak(COVID-19)using available data.The new model focuses on two main concepts:first,it can present ...This paper presents a restricted SIRmathematicalmodel to analyze the evolution of a contagious infectious disease outbreak(COVID-19)using available data.The new model focuses on two main concepts:first,it can present multiple waves of the disease,and second,it analyzes how far an infection can be eradicated with the help of vaccination.The stability analysis of the equilibrium points for the suggested model is initially investigated by identifying the matching equilibrium points and examining their stability.The basic reproduction number is calculated,and the positivity of the solutions is established.Numerical simulations are performed to determine if it is multipeak and evaluate vaccination’s effects.In addition,the proposed model is compared to the literature already published and the effectiveness of vaccination has been recorded.展开更多
UAV-aided cellular networks,millimeter wave(mm-wave) communications and multi-antenna techniques are viewed as promising components of the solution for beyond-5G(B5G) and even 6G communications.By leveraging the power...UAV-aided cellular networks,millimeter wave(mm-wave) communications and multi-antenna techniques are viewed as promising components of the solution for beyond-5G(B5G) and even 6G communications.By leveraging the power of stochastic geometry,this paper aims at providing an effective framework for modeling and analyzing a UAV-aided heterogeneous cellular network,where the terrestrial base stations(TBSs) and the UAV base stations(UBSs) coexist,and the UBSs are provided with mm-wave and multi-antenna techniques.By modeling the TBSs as a PPP and the UBSs as a Matern hard-core point process of type Ⅱ(MPH-Ⅱ),approximated but accurate analytical results for the average rate of the typical user of both tiers are derived through an approximation method based on the mean interference-to-signal ratio(MISR) gain.The influence of some relevant parameters is discussed in detail,and some insights into the network deployment and optimization are revealed.Numerical results show that some trade-offs are worthy of being considered,such as the antenna array size,the altitude of the UAVs and the power control factor of the UBSs.展开更多
Objective: To determine the effect of flurbiprofen combined with prednisolone on interleukin-6 in elderly surgery patients. Methods: In this double-blind randomized controlled study, patients aged 65 to 80 who we...Objective: To determine the effect of flurbiprofen combined with prednisolone on interleukin-6 in elderly surgery patients. Methods: In this double-blind randomized controlled study, patients aged 65 to 80 who were undergoing spinal fusion surgery for disc herniation were administered flurbiprofen 100 mg (P group, flurbiprofen group), prednisolone 0.6 mg/kg (D group, prednisolone group), prednisolone 0.6 mg/kg plus flurbiprofen 100 mg (P + D group, flurbiprofen + prednisolone group) or normal saline (S group, saline group) 15 minutes before the induction of anesthesia. Plasma samples were collected before surgery (T0) and on day 1 (T1), day 2 (T2) and day 3 (T3) following surgery. At the same time, systemic inflammatory response syndrome (SIRS) was assessed by SIRS criteria. The levels of interleukin-6 (IL-6), tumor necrosis factor-α (TNF-α) and C-reactive protein (CRP) for collected samples were measured. Results: Other groups had significantly lower levels of IL-6, CRP and occurrence of SIRS than S group (p < 0.05). Compared to groups P and D, the levels of IL-6 and CRP in P + D group were significantly lower on T1 (p < 0.05). Peak levels of IL-6 in all groups were presented on T1 (p 0.05). The levels of CRP within three days were significantly different but did not show peak levels (p > 0.05). Conclusion: Compared to prednisolone or flurbiprofen, combining flurbiprofen with prednisolone in elderly surgery patients led to an increased suppression of IL-6.展开更多
基金Research Partnership Program no.RP-21-09-06 from the Deanship of Scientific Research of Imam Mohammad Ibn Saud Islamic University(IMSIU).
文摘This paper presents a restricted SIRmathematicalmodel to analyze the evolution of a contagious infectious disease outbreak(COVID-19)using available data.The new model focuses on two main concepts:first,it can present multiple waves of the disease,and second,it analyzes how far an infection can be eradicated with the help of vaccination.The stability analysis of the equilibrium points for the suggested model is initially investigated by identifying the matching equilibrium points and examining their stability.The basic reproduction number is calculated,and the positivity of the solutions is established.Numerical simulations are performed to determine if it is multipeak and evaluate vaccination’s effects.In addition,the proposed model is compared to the literature already published and the effectiveness of vaccination has been recorded.
基金supported by National Natural Science Foundation of China (No.62001135)the Joint funds for Regional Innovation and Development of the National Natural Science Foundation of China(No.U21A20449)the Beijing Natural Science Foundation Haidian Original Innovation Joint Fund (No.L232002)
文摘UAV-aided cellular networks,millimeter wave(mm-wave) communications and multi-antenna techniques are viewed as promising components of the solution for beyond-5G(B5G) and even 6G communications.By leveraging the power of stochastic geometry,this paper aims at providing an effective framework for modeling and analyzing a UAV-aided heterogeneous cellular network,where the terrestrial base stations(TBSs) and the UAV base stations(UBSs) coexist,and the UBSs are provided with mm-wave and multi-antenna techniques.By modeling the TBSs as a PPP and the UBSs as a Matern hard-core point process of type Ⅱ(MPH-Ⅱ),approximated but accurate analytical results for the average rate of the typical user of both tiers are derived through an approximation method based on the mean interference-to-signal ratio(MISR) gain.The influence of some relevant parameters is discussed in detail,and some insights into the network deployment and optimization are revealed.Numerical results show that some trade-offs are worthy of being considered,such as the antenna array size,the altitude of the UAVs and the power control factor of the UBSs.
文摘Objective: To determine the effect of flurbiprofen combined with prednisolone on interleukin-6 in elderly surgery patients. Methods: In this double-blind randomized controlled study, patients aged 65 to 80 who were undergoing spinal fusion surgery for disc herniation were administered flurbiprofen 100 mg (P group, flurbiprofen group), prednisolone 0.6 mg/kg (D group, prednisolone group), prednisolone 0.6 mg/kg plus flurbiprofen 100 mg (P + D group, flurbiprofen + prednisolone group) or normal saline (S group, saline group) 15 minutes before the induction of anesthesia. Plasma samples were collected before surgery (T0) and on day 1 (T1), day 2 (T2) and day 3 (T3) following surgery. At the same time, systemic inflammatory response syndrome (SIRS) was assessed by SIRS criteria. The levels of interleukin-6 (IL-6), tumor necrosis factor-α (TNF-α) and C-reactive protein (CRP) for collected samples were measured. Results: Other groups had significantly lower levels of IL-6, CRP and occurrence of SIRS than S group (p < 0.05). Compared to groups P and D, the levels of IL-6 and CRP in P + D group were significantly lower on T1 (p < 0.05). Peak levels of IL-6 in all groups were presented on T1 (p 0.05). The levels of CRP within three days were significantly different but did not show peak levels (p > 0.05). Conclusion: Compared to prednisolone or flurbiprofen, combining flurbiprofen with prednisolone in elderly surgery patients led to an increased suppression of IL-6.
