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An implicit discontinuous Galerkin method for modeling acute edema and resuscitation in the small intestine.
Mathematical Medicine and Biology ( IF 0.8 ) Pub Date : 2019-12-04 , DOI: 10.1093/imammb/dqz001
Travis B Thompson 1 , Beatrice M Riviere 2 , Matthew G Knepley 3
Affiliation  

Edema, also termed oedema, is a generalized medical condition associated with an abnormal aggregation of fluid in a tissue matrix. In the intestine, excessive edema can lead to serious health complications associated with reduced motility. A $7.5\%$ solution of hypertonic saline (HS) has been hypothesized as an effective means to reduce the effects of edema following surgery or injury. However, detailed clinical edema experiments can be difficult to implement, or costly, in practice. In this manuscript we introduce an implicit in time discontinuous Galerkin method with novel adaptations for modeling edema in the 3D layered physiology of the intestine. The model improves over early work via inclusion of the tissue intrinsic storage coefficient, and the effects of Starling overestimation for high venous pressures. Validation against a recent clinical experiment in HS resuscitation of acute edema is presented; the results support the clinical hypothesis that 7.5% HS solution may be effective in the resuscitation of acute edema formation. New results include an improved view into the effects of resuscitation on the hydrostatic pressure profile of edematous rats, effects on lumenal volume attenuation, relative fluid gain and an estimation of the impacts of both acute edema and resuscitation on intestinal motility.

中文翻译:

一种隐式不连续Galerkin方法,用于模拟小肠急性水肿和复苏。

水肿,也称为水肿,是与组织基质中液体异常聚集相关的普遍性医学病状。在肠道中,过度的水肿会导致严重的健康并发症,并伴有运动力下降。假设7.5 %%的高渗盐水(HS)溶液是减少手术或受伤后水肿影响的有效手段。但是,在实践中,详细的临床水肿实验可能难以实施或成本很高。在本手稿中,我们介绍了一种隐式的时间不连续Galerkin方法,该方法具有新颖的适应性,可以在肠道3D分层生理学中对水肿进行建模。该模型通过包括组织固有存储系数和高静脉压Starling高估的影响,改善了早期工作。提出了一项针对近期急性水肿复苏的临床实验的验证。该结果支持7.5%的HS溶液可有效复苏急性水肿的临床假设。新的结果包括对复苏对水肿大鼠静水压力曲线的影响,对腔体积衰减,相对体液吸收的影响以及对急性水肿和复苏对肠道运动的影响的估计的改进看法。
更新日期:2019-11-01
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