{"title":"Models of Hydration Dependent Lymphatic Opening, Interstitial Fluid Flows and Ambipolar Diffusion.","authors":"Alf H Øien, Olav Tenstad, Helge Wiig","doi":"10.1111/micc.12894","DOIUrl":null,"url":null,"abstract":"<p><strong>Objective: </strong>A theoretical understanding of fluid exchange and the role of initial lymph formation in tissues through mathematical/physical modeling is lacking.</p><p><strong>Methods: </strong>Here, we present three models for tissues rich in negative fixed charges due to glycosaminoglycans interacting with the extracellular matrix.</p><p><strong>Results: </strong>We first model a lymphatic opening mechanism at relevant hydrations of the interstitium. At each hydration affecting tissue strain, two equations coupled in time are developed and solved with the new lymphatic opening and particle draining mechanism. The lymphatic opening mechanism is then included in a new model of interstitial fluid and macromolecular flow where the influence of different exclusion and available volumes for charged and neutral particles are quantified. For therapeutic interactions with cells, essential differences are found between electrically charged and neutral therapeutic substances. The interstitial fluid hydrostatic pressure gradient and flow are expressed through an extended Darcy equation, derived using similar methods as in kinetic theory of dense gases and fluid flows. Finally, a model for ambipolar diffusion of electrically charged macromolecules in tissue is developed.</p><p><strong>Conclusions: </strong>Our study will inform transport of charged and neutral macromolecules between the vasculature, interstitium, and the lymphatic system, thus having implications for tissue uptake of therapeutic agents.</p>","PeriodicalId":18459,"journal":{"name":"Microcirculation","volume":" ","pages":"e12894"},"PeriodicalIF":1.9000,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Microcirculation","FirstCategoryId":"3","ListUrlMain":"https://doi.org/10.1111/micc.12894","RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"HEMATOLOGY","Score":null,"Total":0}
引用次数: 0
Abstract
Objective: A theoretical understanding of fluid exchange and the role of initial lymph formation in tissues through mathematical/physical modeling is lacking.
Methods: Here, we present three models for tissues rich in negative fixed charges due to glycosaminoglycans interacting with the extracellular matrix.
Results: We first model a lymphatic opening mechanism at relevant hydrations of the interstitium. At each hydration affecting tissue strain, two equations coupled in time are developed and solved with the new lymphatic opening and particle draining mechanism. The lymphatic opening mechanism is then included in a new model of interstitial fluid and macromolecular flow where the influence of different exclusion and available volumes for charged and neutral particles are quantified. For therapeutic interactions with cells, essential differences are found between electrically charged and neutral therapeutic substances. The interstitial fluid hydrostatic pressure gradient and flow are expressed through an extended Darcy equation, derived using similar methods as in kinetic theory of dense gases and fluid flows. Finally, a model for ambipolar diffusion of electrically charged macromolecules in tissue is developed.
Conclusions: Our study will inform transport of charged and neutral macromolecules between the vasculature, interstitium, and the lymphatic system, thus having implications for tissue uptake of therapeutic agents.
期刊介绍：
The journal features original contributions that are the result of investigations contributing significant new information relating to the vascular and lymphatic microcirculation addressed at the intact animal, organ, cellular, or molecular level. Papers describe applications of the methods of physiology, biophysics, bioengineering, genetics, cell biology, biochemistry, and molecular biology to problems in microcirculation.
Microcirculation also publishes state-of-the-art reviews that address frontier areas or new advances in technology in the fields of microcirculatory disease and function. Specific areas of interest include: Angiogenesis, growth and remodeling; Transport and exchange of gasses and solutes; Rheology and biorheology; Endothelial cell biology and metabolism; Interactions between endothelium, smooth muscle, parenchymal cells, leukocytes and platelets; Regulation of vasomotor tone; and Microvascular structures, imaging and morphometry. Papers also describe innovations in experimental techniques and instrumentation for studying all aspects of microcirculatory structure and function.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
