一类具有时滞的SIR传染病模型的稳定性与Hopf分支

本文研究了一类具有非线性发生率和恢复率的修正的SIR模型,考虑了疾病的潜伏期作为时滞因素,首先得到了模型的基本再生数R₀,然后运用时滞微分方程的稳定性和分支理论,分析了模型无病平衡点和地方病平衡点的稳定性,得到了在地方病平衡点Hopf分支存在的条件,最后用MATLAB数值模拟验证结果。     

Biological and mechanical investigation of novel flax/silk protein-based nanofibrous scaffold for bone regeneration

The process of bone tissue regeneration involves an intricate network of a biological macromolecules that includes proteins and peptides to support stimulation and healing response. Here, we have fabricated a novel flaxseed/silk fibroin based (dual protein) composite nanofibers using β-TCP to improve the biological properties and promote cartilage tissue regeneration along with a controllable rate of biodegradation. The physiochemical properties of PVA/β-TCP/FP:SF were characterized by FTIR, XRD, SEM, porosity, contact angle measurements and mechanical evaluation etc. This study demonstrates the biological performance of the developed nanofibers by using hemocompatibility, biodegradation ability, and apatite deposition in stimulated body fluid. Moreover, the cell viability assay was performed on MG-63 osteoblast cells and long-term antibacterial rate against E. coli and S. aureus was analysed. Docking results of flax protein and silk fibroin protein further confirmed the stable modes of intramolecular bonding and the most stable electrostatic values using theoretical calculations. Taken together, the experimental results proved that the dual protein-based fibrous scaffold was found to be up-regulated in terms of biological activity with enhanced cell adhesion and proliferation.