2016
DOI: 10.1371/journal.pone.0165782
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Inflammatory Bowel Disease: How Effective Is TNF-α Suppression?

Abstract: Crohn’s Disease (CD) results from inappropriate response toward commensal flora. Earlier studies described CD as a Th1 mediated disease. Current models view both phenotypes as a continuum of various permutations between Th1, Th2 and Th17 pathways compounded by a range of Treg disfunctions. In the present paper, we develop a mathematical model, by a system of differential equations, which describe the dynamic relations among these T cells and their cytokines. The model identities four groups of CD patients acco… Show more

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Cited by 11 publications
(16 citation statements)
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“…Understanding the relationship between the patient's immune system and biological agents from this mathematical model is important for the treatment of patients. The mathematical model is based on the study of Lo et al [21]. In [21], the differential equation system was developed based on a network that integrates cytokines and transcription factors associated with Type 1 T helper cell(Th1), Type 2 T helper cell(Th2), Type 17 T helper cell(Th17) and regulatory T cell pathways.…”
Section: Methodsmentioning
confidence: 99%
See 2 more Smart Citations
“…Understanding the relationship between the patient's immune system and biological agents from this mathematical model is important for the treatment of patients. The mathematical model is based on the study of Lo et al [21]. In [21], the differential equation system was developed based on a network that integrates cytokines and transcription factors associated with Type 1 T helper cell(Th1), Type 2 T helper cell(Th2), Type 17 T helper cell(Th17) and regulatory T cell pathways.…”
Section: Methodsmentioning
confidence: 99%
“…The mathematical model is based on the study of Lo et al [21]. In [21], the differential equation system was developed based on a network that integrates cytokines and transcription factors associated with Type 1 T helper cell(Th1), Type 2 T helper cell(Th2), Type 17 T helper cell(Th17) and regulatory T cell pathways. Our model is substituted with an additional compartment for drug intervention.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…Activated and infected macrophages induce Th1 development through IL-12 [12,31] while Treg cells provide negative regulatory signals on Th1 cell activation [11,30]. On the other hand, Treg cell activation is induced by the two types of cytokine, IL-10 and IL-2, which are produced by activated macrophages and Th1 cells, respectively [1,10]. Similar to the equations for macrophages, we assume that the dynamics of cytokines are much faster than that of cells so that we simplify the processes by considering that Th1 and Treg cell activations are directly increased by the cell concentrations.…”
Section: Danyun He Qian Wang and Wing-cheong Lomentioning
confidence: 99%
“…k BM , then the above two possible ranges (10) and 12will have no intersection with nonzeroB, which means that there is no steady state solution with nonzero concentration of extracellular bacteria and (0, α Mr /µ Mr ) is the only steady state for the system. Now we first obtain the Jacobian matrix for local stability analysis, then the stability analysis will be investigated in the following three cases:…”
Section: Danyun He Qian Wang and Wing-cheong Lomentioning
confidence: 99%