A simple model for prediction of oxygen transport rates by flowing blood in large capillaries.

Abstract:

:A simple model has been developed for simulation of oxygen transport to and from blood flowing in conduits of the diameter of arterioles and larger (greater than or equal to 20 microns). The basis is the large capillary model (LCAP) of P.K. Nair, et al. 1989 which has been validated experimentally. Detailed calculations of the oxygen concentration distribution reveal that the dominant resistance to oxygen transport is distributed in the plasma. Relatively little resistance is present within or in the immediate vicinity of the red cells. On the basis of these findings, LCAP was simplified from four simultaneous nonlinear partial differential equations (PDEs) to one PDE by (1) assuming chemical equilibrium within the red blood cells, (2) neglecting intracellular and extracellular boundary layer resistances, and (3) incorporating transport in the cell-free region adjacent to the capillary wall into the boundary conditions. The simplified model is much easier to apply mathematically to new situations. A comparison between LCAP and the simpler model shows that they give virtually the same predictions, and the predictions agree well with experimental measurements. The model is predictive in that all the parameters are determined from the literature or from independent measurements. Thus it should be useful in studies of physiological significance, as well as in design and analysis of extracorporeal blood oxygenators.

journal_name

Microvasc Res

journal_title

Microvascular research

authors

Nair PK,Huang NS,Hellums JD,Olson JS

doi

10.1016/0026-2862(90)90070-8

subject

Has Abstract

pub_date

1990-03-01 00:00:00

pages

203-11

issue

2

eissn

0026-2862

issn

1095-9319

journal_volume

39

pub_type

杂志文章
  • Vascular and cellular development in fetal adipose tissue: lectin binding studies and immunocytochemistry for laminin and type IV collagen.

    abstract::A cytochemical study of vascular and cellular development in fetal adipose tissue was conducted utilizing 10 plant lectins (fluorescein isothiocyanate (FITC)-labeled), antibodies against laminin, types II and IV collagen, and a probe for actin. Throughout fetal development (50-110 days) blood vessels were stained by g...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/0026-2862(91)90012-z

    authors: Hausman GJ,Wright JT,Thomas GB

    更新日期:1991-01-01 00:00:00

  • Model analysis of the enhancement of tissue oxygenation by hemodilution due to increased microvascular flow velocity.

    abstract::The effect of hemodilution on oxygen delivery to the tissue was investigated analytically by taking into consideration the oxygen loss that occurs along the arterial microvasculature due to diffusion into the tissue and shunting to parallel running venules. The theoretical findings were related to experimental data on...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/0026-2862(87)90062-8

    authors: Mirhashemi S,Ertefai S,Messmer K,Intaglietta M

    更新日期:1987-11-01 00:00:00

  • Regional differences in spontaneously occurring angiogenesis in the adult rat mesentery.

    abstract::Despite intensive study in the area of angiogenesis, relatively little is known about normal angiogenesis in adult animals. Preliminary studies using the Griffonia simplicifolia I (GSI) lectin as a microvascular marker indicated that capillary sprouting occurs in the clear "windows" of normal intact adult rat mesenter...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1006/mvre.1994.1029

    authors: Hansen-Smith FM,Joswiak GR,Baustert JL

    更新日期:1994-05-01 00:00:00

  • Feasibility of assessment of conjunctival microvascular hemodynamics in unilateral ischemic stroke.

    abstract::Since the internal carotid artery supplies blood to both the eye and the brain, ocular microvascular hemodynamics can be altered due to ischemic stroke. The purpose of the current study was to establish the feasibility of conjunctival microcirculation imaging for detection of inter-ocular differences in microvascular ...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/j.mvr.2015.04.007

    authors: Kord Valeshabad A,Wanek J,Mukarram F,Zelkha R,Testai FD,Shahidi M

    更新日期:2015-07-01 00:00:00

  • Acute effects of coffee on skin blood flow and microvascular function.

    abstract:OBJECTIVE:Studies on the acute effects of coffee on the microcirculation have shown contradicting results. This study aimed to investigate if intake of caffeine-containing coffee changes blood flow and microvascular reactivity in the skin. METHODS:We measured acute changes in cutaneous vascular conductance (CVC) in th...

    journal_title:Microvascular research

    pub_type: 杂志文章,随机对照试验

    doi:10.1016/j.mvr.2017.06.006

    authors: Tesselaar E,Nezirevic Dernroth D,Farnebo S

    更新日期:2017-11-01 00:00:00

  • Rapamycin reduces high-amplitude, mechanical stretch-induced apoptosis in pulmonary microvascular endothelial cells.

    abstract::Alveolar epithelial and endothelial cell death caused by mechanical over-distension is likely to contribute to ventilator-induced lung injury (VILI). Consequently, the search for cytoprotective interventions is of interest. We investigated the effect of the mTOR inhibitor rapamycin on human pulmonary microvascular end...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/j.mvr.2009.01.012

    authors: Raaz U,Kuhn H,Wirtz H,Hammerschmidt S

    更新日期:2009-05-01 00:00:00

  • The skin blood flow response in wound healing.

    abstract::Although vasodilation is conventionally held to be the predominant microvascular response to a wound, there has been no previous attempt to actually quantitate skin blood flow within and in the neighborhood of wounds. In particular, there has been no differentiation between sites with primarily nutritive (NUTR) blood ...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1006/mvre.1997.2008

    authors: Rendell MS,Milliken BK,Finnegan MF,Finney DA,Healy JC

    更新日期:1997-05-01 00:00:00

  • The glomerular barrier fits a two-pore-and-fiber-matrix model: derivation and physiologic test.

    abstract::Failure of the glomerular barrier causing proteinuria has been modeled chiefly by Chang, Deen, and Brenner. They have refined models from an isoporous filter to a mostly isoporous membrane, which during proteinuric disease opens up nondiscriminating shunts. This report extends these concepts by measuring a larger dist...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1006/mvre.1999.2146

    authors: Katz MA,Schaeffer RC Jr,Gratrix M,Mucha D,Cárbajal J

    更新日期:1999-05-01 00:00:00

  • The effect of anesthetics on lymphatic contractility.

    abstract::Spontaneous contractions and those elicited by electrical stimulation were studied in isolated segments of bovine mesenteric lymphatic vessels. The effects of three general anesthetics, pentobarbitone, halothane, and ether, on these spontaneous and evoked contractions were studied. Pentobarbitone and halothane inhibit...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/0026-2862(89)90073-3

    authors: McHale NG,Thornbury KD

    更新日期:1989-01-01 00:00:00

  • Pericyte adhesion and growth onto polyhydroxymethylsiloxane surfaces nanostructured by plasma treatment and ion irradiation.

    abstract::The study deals with the adhesion and proliferation of bovine retina pericytes onto surfaces of poly(hydroxymethylsiloxane) (PHMS) modified either by cold plasma or by low-energy ion beams. The surface treatment was able to convert the original polymer matrix into SiO2-like phases for O2-plasma or ion-mixed SiCxOy(Hz)...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/j.mvr.2004.08.003

    authors: Assero G,Satriano C,Lupo G,Anfuso CD,Marletta G,Alberghina M

    更新日期:2004-11-01 00:00:00

  • Isolation, characterization, and long-term cultivation of porcine and murine cerebral capillary endothelial cells.

    abstract::We present a simple method for isolation and long-term cultivation of porcine and murine cerebral capillary endothelial cells (cEC). Two major points are made. First, that the "characteristic" morphology of the endothelial cells depends mainly on the presence of endothelial cell growth factors in the culture medium an...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/0026-2862(89)90034-4

    authors: Tontsch U,Bauer HC

    更新日期:1989-03-01 00:00:00

  • Acute endothelial cell contraction in vitro: a comparison with vascular smooth muscle cells and fibroblasts.

    abstract::The contractile responses of cultured rat and calf endothelial cells (EC), vascular smooth muscle cells (VSMC), and fibroblasts (FB) to vasoactive mediators (thrombin, serotonin, bradykinin, and histamine), forskolin, and cytochalasin B were compared. Cells were grown on a pliable silicone membrane, and contraction wa...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/0026-2862(92)90015-h

    authors: Boswell CA,Majno G,Joris I,Ostrom KA

    更新日期:1992-03-01 00:00:00

  • Ligustrazine prevents basilar artery remodeling in two-kidney-two-clip renovascular hypertension rats via suppressing PI3K/Akt signaling.

    abstract:OBJECTIVE:In the present study, we used a two-kidney-two-clip (2k2c) stroke-prone renovascular hypertension rat model (RHRSP) to investigate the protective effects of ligustrazine (TMP) on cerebral arteries and to examine PI3K/Akt pathway behavior under this protection. METHODS:The cerebral artery remodeling was induc...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/j.mvr.2019.103938

    authors: Zhang B,Zhang Y,Deng F,Fang S

    更新日期:2020-03-01 00:00:00

  • Influence of some hydrodynamic factors of thrombus formation in microvessels.

    abstract::The effect of mean blood velocity on thrombus formation parameters was studied using mesenteric vessels of white rats. An advanced phenomenological theory, explaining the relationship between mean blood velocity and thrombus growth rate, is presented. The qualitative analysis of theoretical and experimental data have ...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1006/mvre.1995.1002

    authors: Petrishchev NN,Mikhailova IA

    更新日期:1995-01-01 00:00:00

  • Electrophysiological characteristics of cultured human umbilical vein endothelial cells.

    abstract::Electrophysiological characteristics of cultured human umbilical vein endothelial cells (HUVEC) were determined using the patch-clamp technique in the whole cell configuration. In isolated cells, membrane potential, capacitance, and input resistance were (Mean +/- SD) - 16.3 +/- 12.7 mV, 53.9 +/- 26 pF, and 2.3 +/- 1....

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1006/mvre.1994.1012

    authors: Vargas FF,Caviedes PF,Grant DS

    更新日期:1994-03-01 00:00:00

  • Analysis of transcapillary exchange and intraluminal transport in the microocclusion of single capillaries.

    abstract::A theoretical model, appropriate for data interpretation, is presented for the transcapillary fluid exchange and associated intraluminal hydrodynamic and solute transport occurring in the microocclusion of single capillaries. This analysis describes the spatial and temporal behavior of the intraluminal flow. A compari...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/0026-2862(83)90012-2

    authors: Blake TR,Gross JF

    更新日期:1983-03-01 00:00:00

  • In situ observation of living pericytes in rat retinal capillaries.

    abstract::We observed the retinal capillary pericytes of the rat in situ. Whole retinae were mounted, immediately post vivo, in a special tissue chamber for electronic light microscopy at high magnifications. Under electronic light microscopy the pericytes could be clearly distinguished from the endothelial cells. In addition, ...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1006/mvre.1998.2086

    authors: Schönfelder U,Hofer A,Paul M,Funk RH

    更新日期:1998-07-01 00:00:00

  • Effects of ischemia on capillary density and flow velocity in nailfolds of human toes.

    abstract::The purpose of this study was to investigate reactive hyperemia in the capillary network of human skin in terms of the flow per capillary and the density of flow-active capillaries. Seventeen male subjects 20 to 40 years of age were seated with their right foot placed on the stage of a Leitz epi-ilumination microscope...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/0026-2862(85)90040-8

    authors: Richardson D,Schwartz R,Hyde G

    更新日期:1985-07-01 00:00:00

  • Topical application of cerium nitrate prevents burn edema after burn plasma transfer.

    abstract::Thermal injuries of more than 20% body surface area (BSA) result in systemic capillary leakage with subsequent edema. This can similarly be induced by burn plasma transfer (BPT) from burned individuals to healthy rats. We evaluated if cerium nitrate (CN) bathing can prevent edema after BPT. Therefore, donor rats (DR) ...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/j.mvr.2009.07.006

    authors: Kremer T,Hernekamp F,Riedel K,Peter Ch,Gebhardt MM,Germann G,Heitmann Ch,Walther A

    更新日期:2009-12-01 00:00:00

  • Type IV collagen-derived angiogenesis inhibitors.

    abstract::The concept of anti-angiogenesis therapy was introduced by Judah Folkman in 1971 and since then, a plethora of pro- and anti-angiogenic factors have been identified. In the recent years, it has become clear that angiogenesis, the formation of new capillaries from a pre-existing capillary network, is highly regulated b...

    journal_title:Microvascular research

    pub_type: 杂志文章,评审

    doi:10.1016/j.mvr.2007.05.005

    authors: Mundel TM,Kalluri R

    更新日期:2007-09-01 00:00:00

  • Sublingual microvascular perfusion is altered during normobaric and hyperbaric hyperoxia.

    abstract::Hyperoxia and hyperbaric oxygen therapy can restore oxygen tensions in tissues distressed by ischemic injury and poor vascularization and is believed to also yield angiogenesis and regulate tissue perfusion. The aim of this study was to develop a model in which hyperoxia-driven microvascular changes could be quantifie...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/j.mvr.2016.02.001

    authors: Milstein DM,Helmers R,Hackmann S,Belterman CN,van Hulst RA,de Lange J

    更新日期:2016-05-01 00:00:00

  • The effect of treatment with low dose ACE inhibitor and/or diuretic on coronary microvasculature in stroke-prone spontaneously hypertensive rats.

    abstract::Angiotensin II is considered to have angiogenic properties. Nevertheless, several authors reported an increase in coronary capillary density after treatment with ACE inhibitors. The aim of the present study was to evaluate the effect of treatment with low doses of ACE inhibitor perindopril, low doses of the diuretic i...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1006/mvre.1999.2224

    authors: Rakusan K,Cicutti N,Maurin A,Guez D,Schiavi P

    更新日期:2000-03-01 00:00:00

  • Induced peroxidase and cytoprotective enzyme expressions support adaptation of HUVECs to sustain subsequent H2O2 exposure.

    abstract::H2O2 mediates autocrine and paracrine signaling in the vasculature and can propagate endothelial dysfunction. However, it is not clear how endothelial cells withstand H2O2 exposure and promote H2O2-induced vascular remodeling. To understand the innate ability of endothelial cells for sustaining excess H2O2 exposure, w...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/j.mvr.2015.09.003

    authors: Patel H,Chen J,Kavdia M

    更新日期:2016-01-01 00:00:00

  • A novel, quantitative model for study of endothelial cell migration and sprout formation within three-dimensional collagen matrices.

    abstract::Interactions between migratory endothelial cells (ECs) and surrounding extracellular matrix (ECM) are of central importance to vascular growth. Here, we present a new model of EC migration and morphogenesis within three-dimensional ECM termed "radial invasion of matrix by aggregated cells" (RIMAC). In the RIMAC model,...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1006/mvre.1998.2122

    authors: Vernon RB,Sage EH

    更新日期:1999-03-01 00:00:00

  • Alpha adrenoceptor agonist-induced microcirculatory oscillations are reduced in diabetic neuropathy.

    abstract::In diabetic patients small fiber neuropathy has been associated with impairment of 0.1 Hz microvascular vasomotion. The aim of this study was (1) to investigate whether vasoconstriction-induced microvascular oscillations in the skin are reduced in diabetic patients with peripheral and/or autonomic neuropathy, and (2) ...

    journal_title:Microvascular research

    pub_type: 临床试验,杂志文章

    doi:10.1016/j.mvr.2008.04.004

    authors: Schmiedel O,Nurmikko TJ,Schroeter ML,Whitaker R,Harvey JN

    更新日期:2008-08-01 00:00:00

  • Lymphangiogenesis following obstruction of large postnodal lymphatics in sheep.

    abstract::We examined the impact of lymph flow obstruction in large post-nodal lymphatic vessels in sheep. A silk ligature was placed 2 cm downstream from the prescapular or popliteal lymph node and tightened to interrupt flow. At 6, 12 and 16 weeks after lymph flow blockage, a network of small interconnecting lymphatics (appro...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/j.mvr.2006.11.003

    authors: Jila A,Kim H,Nguyen VP,Dumont DJ,Semple J,Armstrong D,Seto E,Johnston M

    更新日期:2007-05-01 00:00:00

  • Is microvascular dysfunction a systemic disorder with common biomarkers found in the heart, brain, and kidneys? - A scoping review.

    abstract::Although microvascular dysfunction (MVD) has been well characterized in individual organs as different disease entities, clinical evidence is mounting in support of an underlying systemic process. To address this hypothesis, we systematically searched PubMed and Medline for studies in adults published between 2014 and...

    journal_title:Microvascular research

    pub_type: 杂志文章,评审

    doi:10.1016/j.mvr.2020.104123

    authors: Nowroozpoor A,Gutterman D,Safdar B

    更新日期:2021-03-01 00:00:00

  • Heterogeneity of capillary diameters in skeletal muscle of the frog.

    abstract::Capillary diameters in sartorius muscle of frogs were measured in vivo by means of a new computer video method, based on the passage of red blood cells (RBCs) through the capillary (C. Ellis, R. Sanfranyos, and A. Groom (1983), Microvasc. Res. 26, 139-150). The distribution of capillary diameters from 21 frogs was rep...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/0026-2862(83)90066-3

    authors: Safranyos RG,Ellis CG,Tyml K,Groom AC

    更新日期:1983-09-01 00:00:00

  • Sublethal mechanical trauma alters the electrochemical properties and increases aggregation of erythrocytes.

    abstract::Circulation of blood depends, in part, on the ability of red blood cells (RBCs) to aggregate, disaggregate, and deform. The primary intrinsic disaggregating force of RBCs is derived from their electronegativity, which is largely determined by sialylated glycoproteins on the plasma membrane. Given supraphysiological sh...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/j.mvr.2018.05.008

    authors: McNamee AP,Tansley GD,Simmonds MJ

    更新日期:2018-11-01 00:00:00

  • Strychnine inhibits inflammatory angiogenesis in mice via down regulation of VEGF, TNF-α and TGF-β.

    abstract::Strychnine is known to possess anti-inflammatory and antitumour activity, but its roles in tumour angiogenesis, the key step involved in tumour growth and metastasis, and the involved molecular mechanism are still unknown. We aimed to investigate the effects of strychnine on key components of inflammatory angiogenesis...

    journal_title:Microvascular research

    pub_type: 杂志文章

    doi:10.1016/j.mvr.2013.01.003

    authors: Saraswati S,Agarwal SS

    更新日期:2013-05-01 00:00:00