scholarly journals Backward bifurcation of an HTLV-I model with immune response

2016 ◽  
Vol 21 (3) ◽  
pp. 863-881
Author(s):  
Yicang Zhou ◽  
Sumei Li
2017 ◽  
Vol 25 (04) ◽  
pp. 697-713 ◽  
Author(s):  
WENDI WANG

A mathematical model of bacteria-phage interaction in the chemostat is formulated, which incorporates the host immune response with an aim to mimic phage therapy in vivo. It is shown that the host immune response induces the backward bifurcation. Thus, there exists the bistability of phage-free equilibrium with the phage-infection equilibrium. More importantly, it is found that the model exhibits the coexistence of a stable phage-infection equilibrium with a stable periodic solution. The crucial implication of these phenomena is that phage infection fails both from the smaller dose of initial injection and from the larger dose of initial injection. Thus, a proper design of phage dose is necessary for phage therapy. Further analysis indicate that the inhibition effects of bacteria and phages can induce periodic oscillations and modulated oscillation.


1999 ◽  
Vol 37 (2) ◽  
pp. 123-129 ◽  
Author(s):  
B. R. Mignon ◽  
T. Leclipteux ◽  
CH. Focant ◽  
A. J. Nikkels ◽  
G. E. PIErard ◽  
...  

2015 ◽  
Vol 21 ◽  
pp. 93
Author(s):  
Merrell Magelli ◽  
Ronald Swerdloff ◽  
John Amory ◽  
Gregory Flippo ◽  
Wael Salameh ◽  
...  

Author(s):  
Barbara Kronsteiner ◽  
Panjaporn Chaichana ◽  
Manutsanun Sumonwiriya ◽  
Kemajitra Jenjaroen ◽  
Fazle Rabbi Chowdhury ◽  
...  

2004 ◽  
Vol 146 (4) ◽  
pp. 159-172 ◽  
Author(s):  
D. Müller-Doblies ◽  
S. Baumann ◽  
P. Grob ◽  
A. Hülsmeier ◽  
U. Müller-Doblies ◽  
...  

2015 ◽  
Vol 29 (3) ◽  
pp. 119-129 ◽  
Author(s):  
Richard J. Stevenson ◽  
Deborah Hodgson ◽  
Megan J. Oaten ◽  
Luba Sominsky ◽  
Mehmet Mahmut ◽  
...  

Abstract. Both disgust and disease-related images appear able to induce an innate immune response but it is unclear whether these effects are independent or rely upon a common shared factor (e.g., disgust or disease-related cognitions). In this study we directly compared these two inductions using specifically generated sets of images. One set was disease-related but evoked little disgust, while the other set was disgust evoking but with less disease-relatedness. These two image sets were then compared to a third set, a negative control condition. Using a wholly within-subject design, participants viewed one image set per week, and provided saliva samples, before and after each viewing occasion, which were later analyzed for innate immune markers. We found that both the disease related and disgust images, relative to the negative control images, were not able to generate an innate immune response. However, secondary analyses revealed innate immune responses in participants with greater propensity to feel disgust following exposure to disease-related and disgusting images. These findings suggest that disgust images relatively free of disease-related themes, and disease-related images relatively free of disgust may be suboptimal cues for generating an innate immune response. Not only may this explain why disgust propensity mediates these effects, it may also imply a common pathway.


2013 ◽  
Author(s):  
Christopher Gelety ◽  
Lauren Johnson ◽  
Melissa Birkett

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