This paper considers the tracking and containment consensus for the general linear systems with input time delays under directed communication networks. The distributed observer-based algorithm on the basis of event-triggering mechanism will be designed by using only neighboring agents information. In this way, we can save network resource effectively. The event-based protocol with input time delays will be proposed for the leader-follower systems. Appropriate feedback gain matrices and trigger parameters can be designed by using Lyapunov stability theory. Based on the designed control algorithm, if the feedback gain matrices and the event trigger are designed appropriately, the leader-follower general linear system can eventually reach tracking and containment consensus. Then, two simulation results are provided to demonstrate the practicability of the theoretical analysis.
Background: Accumulating evidences about the association between Fusobacterium nucleatum (F. nucleatum) and colorectal cancer (CRC) has been reported in various studies. However, the definite relationship between abundance of F. nucleatum with clinical characteristics and prognosis of CRC is still controversial. Methods: PubMed, Embase and Web of Science were searched for relevant articles up to April 7, 2020. Outcomes of interest included clinical characteristics, molecular characteristic and survival analysis. HR (OR), odds ratios (OR) and 95% confidence interval (CI) were calculated to explore the prognostic value and relationship of clinical characteristics of Fusobacterium nucleatum in CRC.Results: A total of 3626 patients with CRC from 13 eligible studies were included. High abundance of F. nucleatum was associated with worse prognosis on overall survival (OS) (HR= 1.40, P < 0.0001), disease-free survival (DFS) (HR = 1.71, P = 0.0002) and cancer-specific survival (OR= 1.93, P <0.0001). In addition, F. nucleatum abundance was related with T (T3-T4) stage(OR = 2.20, P < 0.00001), M (M1) stage (OR = 2.11, P = 0.005), poor tumor differentation(OR = 1.83, P =0.02), microsatellite instability (MSI) -high (OR = 2.53, P = 0.0003) and KRAS mutation (OR =1.27, P=0.05).Conclusion: The present evidences revealed that high abundance of F. nucleatum is inclined to indicate worse prognosis and is associated with tumor growth, distant Impact: This study highlights the risk factor of F. nucleatum for worse prognosis of CRC.
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