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Ying Ju,Boliang Wang,Jiezhen Xie,Liwei Huang,Shaohui Huang,Xiaoyang Huang 대한의료정보학회 2007 Healthcare Informatics Research Vol.13 No.2
Objective: In order to study the mechanism of the aqueous humor circulation and its relationship to the glaucoma macroscopically with engineering methods. Methods: A dynamistic model was presented, which can be used to simulate the situation and the treatment of the primary open angle glaucoma (POAG). The frame of the model was built based on the ophthalmically accepted feedback mechanism between the aqueous humor circulation and the intraocular pressure (IOP). The transfer functions and the parameters were educed from the analysis of physiological theories, the basic elements of hydrodynamics, and the clinical parameters. The relation between the parameters of the system and the episode mechanism of POAG was discussed. A digital method was used to simulate the Challenge test and some medicines' treatment of POAG, and the results were consistent with clinical observations. Results: The results of simulation illuminate that the model can simulate the mechanism of the aqueous humor circulation and the curative mechanism of some medicines under the physiological condition and the pathological condition of the POAG. Conclusion: a few parameters which can hardly be captured with clinical method could be obtained from the model. These parameters can be helpful for the diagnosis and prediction of the curative effect. (Journal of Korean Society of Medical Informatics 13-2, 139-146, 2007)
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EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTIONS TO A FOURTH-ORDER DEGENERATE PARABOLIC EQUATION
Bo Liang,Meishan Wang,Ying Wang 대한수학회 2015 대한수학회보 Vol.52 No.4
The paper is devoted to studying a fourth-order degenerate parabolic equation, which arises in fluid, phase transformation and biology. Based on the existence and uniqueness of one semi-discrete problem, two types of approximate solutions are introduced. By establishing some necessary uniform estimates for those approximate solutions, the existence and uniqueness of the corresponding parabolic problem are obtained. Moreover, the long time asymptotic behavior is established by the entropy functional method.
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