Volumetric Engineered 3D Drug Reservoir Against Diabetic Implant Infection via Cuproptosis-Like Bacterial Death and Hunger-Triggered Maintenance of Mitochondrial Integrity.

Implant-associated infections in diabetic patients pose critical challenges due to immune-metabolic dysregulation that exacerbates biofilm persistence and tissue damage. This study introduces a "dimensional rise" strategy integrating 3D-printed porous titanium frameworks with micro-nano hierarchical structures to establish a mechanically robust, high-capacity drug reservoir, surpassing the limitations of conventional 2D surface modifications. Copper-doped carbon quantum dots, synthesized from luteolin, synergize with polydopamine-mediated photothermal activation to disrupt bacterial copper homeostasis, inducing tricarboxylic acid cycle collapse and cuproptosis-like death via reactive oxygen species bursts and lipoylated protein aggregation.

Turning Microstructure in Block Copolymer Membranes: A Facile Strategy to Improve CO Separation Performance.

To mitigate global climate change, the development of membranes with high CO permeability and selectivity is urgently needed. Here, a simple and effective non-solvent-induced microstructure rearrangement (MSR) technique is proposed to enhance the gas separation performance of Pebax 2533 membranes. By immersing Pebax 2533 membranes in amino acid salt solutions to induce MSR, the CO permeability of the optimized Pebax 2533-GlyK 10 wt.

3D-printed customised titanium mesh and bone ring technique for bone augmentation of combined bone defects in the aesthetic zone.

Purpose: Complex bone defects with a horizontal and vertical combined deficiency pose a clinical challenge in implant dentistry. This study reports the case of a young female patient who presented with a perforating bone defect in the aesthetic zone.

Materials And Methods: Based on prosthetically guided bone regeneration, virtual 3D bone augmentation was planned.

The role of natural recovery category in malaria dynamics under saturated treatment.

In the process of malaria transmission, natural recovery individuals are slightly infectious compared with infected individuals. Our concern is whether the infectivity of natural recovery category can be ignored in areas with limited medical resources, so as to reveal the epidemic pattern of malaria with simpler analysis. To achieve this, we incorporate saturated treatment into two-compartment and three-compartment models, and the infectivity of natural recovery category is only reflected in the latter.

Complicated Bosworth fracture-dislocation: A case report and review of the literature.

Bosworth fracture and dislocation is relatively rare, accounting for about 1% of ankle fractures. It is characterized by the proximal fibula fracture embedded in the posterolateral distal tibia. Due to an insufficient understanding of this fracture, it is easy to cause missed diagnosis and misdiagnosis in clinical practice.

Dynamics and optimal control of a stochastic Zika virus model with spatial diffusion.

Zika is an infectious disease with multiple transmission routes, which is related to severe congenital disabilities, especially microcephaly, and has attracted worldwide concern. This paper aims to study the dynamic behavior and optimal control of the disease. First, we establish a stochastic reaction-diffusion model (SRDM) for Zika virus, including human-mosquito transmission, human-human sexual transmission, and vertical transmission of mosquitoes, and prove the existence, uniqueness, and boundedness of the global positive solution of the model.

Stability and bifurcation analysis of Alzheimer's disease model with diffusion and three delays.

A reaction-diffusion Alzheimer's disease model with three delays, which describes the interaction of β-amyloid deposition, pathologic tau, and neurodegeneration biomarkers, is investigated. The existence of delays promotes the model to display rich dynamics. Specifically, the conditions for stability of equilibrium and periodic oscillation behaviors generated by Hopf bifurcations can be deduced when delay σ (σ=σ1+σ2) or σ3 is selected as a bifurcation parameter.

Basic reproduction ratio of a mosquito-borne disease in heterogeneous environment.

To explore the influence of spatial heterogeneity on mosquito-borne diseases, we formulate a reaction-diffusion model with general incidence rates. The basic reproduction ratio [Formula: see text] for this model is introduced and the threshold dynamics in terms of [Formula: see text] are obtained. In the case where the model is spatially homogeneous, the global asymptotic stability of the endemic equilibrium is proved when [Formula: see text].

Dynamics of an impulsive reaction-diffusion mosquitoes model with multiple control measures.

It is well-known that mosquito control is one of the effective methods to reduce and prevent the transmission of mosquito-borne diseases. In this paper, we formulate a reaction-diffusion impulsive hybrid model incorporating , impulsively spraying of insecticides, spatial heterogeneity, and seasonality to investigate the control of mosquito population. The sufficient conditions for mosquito extinction or successful persistence in a population of natural mosquitoes are derived.

Dynamics of a multi-strain malaria model with diffusion in a periodic environment.

This paper mainly explores the complex impacts of spatial heterogeneity, vector-bias effect, multiple strains, temperature-dependent extrinsic incubation period (EIP) and seasonality on malaria transmission. We propose a multi-strain malaria transmission model with diffusion and periodic delays and define the reproduction numbers and ( = 1, 2). Quantitative analysis indicates that the disease-free -periodic solution is globally attractive when , while if (), then strain persists and strain dies out.

Dynamic analysis of a malaria reaction-diffusion model with periodic delays and vector bias.

One of the most important vector-borne disease in humans is malaria, caused by parasite. Seasonal temperature elements have a major effect on the life development of mosquitoes and the development of parasites. In this paper, we establish and analyze a reaction-diffusion model, which includes seasonality, vector-bias, temperature-dependent extrinsic incubation period (EIP) and maturation delay in mosquitoes.

Analysis of a two-strain malaria transmission model with spatial heterogeneity and vector-bias.

In this paper, we introduce a reaction-diffusion malaria model which incorporates vector-bias, spatial heterogeneity, sensitive and resistant strains. The main question that we study is the threshold dynamics of the model, in particular, whether the existence of spatial structure would allow two strains to coexist. In order to achieve this goal, we define the basic reproduction number [Formula: see text] and introduce the invasion reproduction number [Formula: see text] for strain [Formula: see text].

Modeling and Dynamics Analysis of Zika Transmission with Limited Medical Resources.

Zika virus, a reemerging mosquito-borne flavivirus, posed a global public health emergency in 2016. Brazil is the most seriously affected country. Some measures have been implemented to control the Zika transmission, such as spraying mosquitoes, developing vaccines and drugs.

Partial differential equation modeling of rumor propagation in complex networks with higher order of organization.

Mathematical modeling is an important approach to research rumor propagation in online social networks. Most of prior work about rumor propagation either carried out empirical studies or focus on ordinary differential equation models with only consideration of temporal dimension; little attempt has been given on understanding rumor propagation over both temporal and spatial dimensions. This paper primarily addresses an issue related to how to define a spatial distance in online social networks by clustering and then proposes a partial differential equation model with a time delay to describing rumor propagation over both temporal and spatial dimensions.

Modelling and analysis of HFMD with the effects of vaccination, contaminated environments and quarantine in mainland China.

Currently, hand, foot, and mouth disease (HFMD) is widespread in mainland China and seriously endangers the health of infants and young children. Recently in mainland China, preventing the spread of the disease has entailed vaccination, isolation measures, and virus clean-up in the contaminated environment. However, quantifying and evaluating the efficacy of these strategies on HFMD remains challenging, especially because relatively little research analyses the impact of EV71 vaccination for this disease.

Modeling the transmission and control of Zika in Brazil.

Zika virus, a reemerging mosquito-borne flavivirus, started spread across Central and Southern America and more recently to North America. The most serious impacted country is Brazil. Based on the transmission mechanism of the virus and assessment of the limited data on the reported suspected cases, we establish a dynamical model which allows us to estimate the basic reproduction number R  = 2.

The spatial dynamics of a zebrafish model with cross-diffusions.

This paper investigates the spatial dynamics of a zebrafish model with cross-diffusions. Sufficient conditions for Hopf bifurcation and Turing bifurcation are obtained by analyzing the associated characteristic equation. In addition, we deduce amplitude equations based on multiple-scale analysis, and further by analyzing amplitude equations five categories of Turing patterns are gained.

Dynamics analysis of a delayed reaction-diffusion predator-prey system with non-continuous threshold harvesting.

This paper deals with a delayed reaction-diffusion predator-prey model with non-continuous threshold harvesting. Sufficient conditions for the local stability of the regular equilibrium, the existence of Hopf bifurcation and Turing bifurcation are obtained by analyzing the associated characteristic equation. By utilizing upper-lower solution method and Lyapunov functions the globally asymptotically stability of a unique regular equilibrium and asymptotically stability of a unique pseudoequilibrium are studied respectively.

Dynamic analysis of a fractional order delayed predator-prey system with harvesting.

In the study, we consider a fractional order delayed predator-prey system with harvesting terms. Our discussion is divided into two cases. Without harvesting, we investigate the stability of the model, as well as deriving some criteria by analyzing the associated characteristic equation.

Synchronized bifurcation and stability in a ring of diffusively coupled neurons with time delay.

In this study, we consider a ring of diffusively coupled neurons with distributed and discrete delays. We investigate the synchronized stability and synchronized Hopf bifurcation of this system, as well as deriving some criteria by analyzing the associated characteristic transcendental equation and by taking τ and β as the bifurcation parameters, which are parameters that measure the discrete delay and the strength of nearest-neighbor connection, respectively. Our simulations demonstrated that the numerically observed behaviors were in excellent agreement with the theoretically predicted results.

Bifurcation and optimal harvesting of a diffusive predator-prey system with delays and interval biological parameters.

This paper deals with a delayed reaction-diffusion three-species Lotka-Volterra model with interval biological parameters and harvesting. Sufficient conditions for the local stability of the positive equilibrium and the existence of Hopf bifurcation are obtained by analyzing the associated characteristic equation. Furthermore, formulas for determining the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by applying the normal form method and center manifold theorem.

Function-preserving reduction and fixation of unstable Jefferson fractures using a C1 posterior limited construct.

Study Design: This is a retrospective, clinical, and radiologic study of posterior reduction and fusion of the C1 arch in the treatment of unstable Jefferson fractures.

Objective: The aim of the study was to describe a new motion-preserving surgical technique in the treatment of unstable Jefferson fracture.

Summary Of Background Data: The management of unstable Jefferson fractures remains controversial.

[Clinical application of centerpiece titanium plate fixation in open door laminoplasty].

Objective: To explore the clinical application of Centerpiece titanium plate fixation in open door laminoplasty.

Methods: From January 2009 to December 2010,25 patients with cervical spinal stenosis were treated by open door laminoplasty with Centerpiece titanium plate fixation. There were 16 males and 9 females,with a mean age of (57.

[Biomechanical application of finite element method in upper cervical spine].

Biomechanics plays an important role in the pathogenesis of upper cervical spine disease. Traditional biomechanical test, such as animal experiment, physical experiment and vitro experiment exists many problems. Finite element method, a new biomechanical method, can repeat in sustainability study, change quality and quantity, provide the manifestation of local and internal region and make up the deficiency of current methods.