In this study, we consider two target-cell limited models with saturation type infec- tion rate and intracellular delay： one without self-proliferation and the other with self- proliferation of activated CD4＋T cells...In this study, we consider two target-cell limited models with saturation type infec- tion rate and intracellular delay： one without self-proliferation and the other with self- proliferation of activated CD4＋T cells. We discuss about the local and global behavior of both the systems in presence and absence of intracellular delay. It is shown that the endemic equilibrium of a target-cell limited model would be unstable in presence and absence of intraeellular delay only when self-proliferation of activated CD4＋T cell is considered. Otherwise, all positive solutions converge to the endemic equilibrium or disease-free equilibrium depending on whether the basic reproduction ratio is greater than or less than unity. Our study suggests that amplitude of oscillation is negatively correlated with the constant input rate of CD4＋T cell when intracellular delay is absent or low. However, they are positively correlated if the delay is too high. Amplitude of oscillation, on the other hand, is always positively correlated with the proliferation rate of CD4＋T cell for all delay. Our mathematical and simulation analysis also suggest that there are many potential contributors who are responsible for the variation of CD4＋T cells and virus particles in the blood plasma of HIV patients.展开更多
Desirable scaffolds for tissue engineering should be biodegradable carriers to supply suitablemicroenvironments mimicked the extracellular matrices for desired cellular interactions and to providesupports for the form...Desirable scaffolds for tissue engineering should be biodegradable carriers to supply suitablemicroenvironments mimicked the extracellular matrices for desired cellular interactions and to providesupports for the formation of new tissues. In this work, a kind of slightly soluble bioactiveceramic akermanite (AKT) powders were aboratively selected and introduced in the PLGA matrix,a novel L-lactide modified AKT/poly (lactic-co-glycolic acid) (m-AKT/PLGA) composite scaffold wasfabricated via a solvent casting-particulate leaching method improved by solvent self-proliferatingprocess. The effects of m-AKT contents on properties of composite scaffolds and on MC3T3-E1 cellularbehaviors in vitro have been primarily investigated. The fabricated scaffolds exhibited threedimensionalporous networks, in which homogenously distributed cavities in size of 300–400 lmwere interconnected by some smaller holes in a size of 100–200 lm. Meanwhile, the mechanicalstructure of scaffolds was reinforced by the introduction of m-AKT. Moreover, alkaline ionic productsreleased by m-AKT could neutralize the acidic degradation products of PLGA, and the apatitemineralizationability of scaffolds could be largely improved. More valuably, significant promotionson adhesion, proliferation, and differentiation of MC3T3-E1 have been observed, which implied thecalcium, magnesium and especially silidous ions released sustainably from composite scaffoldscould regulate the behaviors of osteogenesis-related cells.展开更多
文摘In this study, we consider two target-cell limited models with saturation type infec- tion rate and intracellular delay： one without self-proliferation and the other with self- proliferation of activated CD4＋T cells. We discuss about the local and global behavior of both the systems in presence and absence of intracellular delay. It is shown that the endemic equilibrium of a target-cell limited model would be unstable in presence and absence of intraeellular delay only when self-proliferation of activated CD4＋T cell is considered. Otherwise, all positive solutions converge to the endemic equilibrium or disease-free equilibrium depending on whether the basic reproduction ratio is greater than or less than unity. Our study suggests that amplitude of oscillation is negatively correlated with the constant input rate of CD4＋T cell when intracellular delay is absent or low. However, they are positively correlated if the delay is too high. Amplitude of oscillation, on the other hand, is always positively correlated with the proliferation rate of CD4＋T cell for all delay. Our mathematical and simulation analysis also suggest that there are many potential contributors who are responsible for the variation of CD4＋T cells and virus particles in the blood plasma of HIV patients.
基金This work was supported by the National Nature Science Foundation of China(Project no.51202151).
文摘Desirable scaffolds for tissue engineering should be biodegradable carriers to supply suitablemicroenvironments mimicked the extracellular matrices for desired cellular interactions and to providesupports for the formation of new tissues. In this work, a kind of slightly soluble bioactiveceramic akermanite (AKT) powders were aboratively selected and introduced in the PLGA matrix,a novel L-lactide modified AKT/poly (lactic-co-glycolic acid) (m-AKT/PLGA) composite scaffold wasfabricated via a solvent casting-particulate leaching method improved by solvent self-proliferatingprocess. The effects of m-AKT contents on properties of composite scaffolds and on MC3T3-E1 cellularbehaviors in vitro have been primarily investigated. The fabricated scaffolds exhibited threedimensionalporous networks, in which homogenously distributed cavities in size of 300–400 lmwere interconnected by some smaller holes in a size of 100–200 lm. Meanwhile, the mechanicalstructure of scaffolds was reinforced by the introduction of m-AKT. Moreover, alkaline ionic productsreleased by m-AKT could neutralize the acidic degradation products of PLGA, and the apatitemineralizationability of scaffolds could be largely improved. More valuably, significant promotionson adhesion, proliferation, and differentiation of MC3T3-E1 have been observed, which implied thecalcium, magnesium and especially silidous ions released sustainably from composite scaffoldscould regulate the behaviors of osteogenesis-related cells.
