An implicit discontinuous Galerkin method for modeling acute edema and resuscitation in the small intestine.

IF 0.8 4区 数学 Q4 BIOLOGY Mathematical Medicine and Biology-A Journal of the Ima Pub Date : 2019-12-04 DOI:10.1093/imammb/dqz001
Travis B Thompson, Beatrice M Riviere, Matthew G Knepley
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引用次数: 5

Abstract

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.

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一种模拟小肠急性水肿和复苏的隐式间断伽辽金方法。
水肿,也称为水肿,是一种与组织基质中液体异常聚集有关的广义医学病症。在肠道中,过度水肿可导致与运动减少相关的严重健康并发症。7.5%的高渗盐水(HS)溶液被认为是减少手术或损伤后水肿的有效方法。然而,在实践中,详细的临床水肿实验很难实施,或者成本很高。在这篇论文中,我们介绍了一种隐含的时间不连续伽辽金方法,该方法具有新颖的适应性,可用于在肠的三维分层生理学中建模水肿。该模型通过纳入组织固有储存系数和史达林高估对高静脉压的影响,改进了早期工作。对最近的临床实验验证在HS复苏急性水肿提出;结果支持了7.5% HS溶液对急性水肿形成的复苏可能有效的临床假设。新的结果包括对复苏对水肿大鼠静水压力分布的影响的改进观点,对管腔体积衰减的影响,相对液体增加,以及对急性水肿和复苏对肠道运动的影响的估计。
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来源期刊
CiteScore
2.20
自引率
0.00%
发文量
15
审稿时长
>12 weeks
期刊介绍: Formerly the IMA Journal of Mathematics Applied in Medicine and Biology. Mathematical Medicine and Biology publishes original articles with a significant mathematical content addressing topics in medicine and biology. Papers exploiting modern developments in applied mathematics are particularly welcome. The biomedical relevance of mathematical models should be demonstrated clearly and validation by comparison against experiment is strongly encouraged. The journal welcomes contributions relevant to any area of the life sciences including: -biomechanics- biophysics- cell biology- developmental biology- ecology and the environment- epidemiology- immunology- infectious diseases- neuroscience- pharmacology- physiology- population biology
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