ArticleAnnals of biomedical engineering2001
Modeling advection and diffusion of oxygen in complex vascular networks.
Article in Annals of biomedical engineering, 2001. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 45 papers.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
45 citing papers in PubMed, 116 citations in OpenAlex.
- Oxygen Transport Impairment in the Failing Heart: A Histology-Image-Based Computational Analysis.Annals of biomedical engineering · 2026Article
- Analysis of the Role of Vasa Vasorum in the Oxygen Transport to the Aneurysm Wall.International journal for numerical methods in biomedical engineering · 2025Article
- Computer model coupling hemodynamics and oxygen transport in the coronary capillary network: Pulsatile vs. non-pulsatile analysis.Computer methods and programs in biomedicine · 2025Article
- What Is QSP and Why Does It Exist?: A Brief History.Handbook of experimental pharmacology · 2025Review
- A computational algorithm for optimal design of a bioartificial organ scaffold architecture.PLoS computational biology · 2024Article
- 3D Imaging Reveals Complex Microvascular Remodeling in the Right Ventricle in Pulmonary Hypertension.Circulation research · 2024Article
- Mathematical and Computational Modeling of Poroelastic Cell Scaffolds Used in the Design of an Implantable Bioartificial Pancreas.Fluids (Basel, Switzerland) · 2022Article
- Morphometric, Hemodynamic, and Biomechanical Factors Influencing Blood Flow and Oxygen Concentration in the Human Lamina Cribrosa.Investigative ophthalmology & visual science · 2020Article
- Quantifying the impact of tissue metabolism on solute transport in feto-placental microvascular networks.Interface focus · 2019Article
- Biofabrication strategies for creating microvascular complexity.Biofabrication · 2019Review
- A Mechanistic Analysis of Possible Blood Transfusion Failure to Increase Circulatory Oxygen Delivery in Anemic Patients.Annals of biomedical engineering · 2019Article
- Insights on the impact of mitochondrial organisation on bioenergetics in high-resolution computational models of cardiac cell architecture.PLoS computational biology · 2018Article
- Microvessel Chaste: An Open Library for Spatial Modeling of Vascularized Tissues.Biophysical journal · 2017Article
- The role of necrosis, acute hypoxia and chronic hypoxia inPhysics in medicine and biology · 2016Article
- A Green's function method for simulation of time-dependent solute transport and reaction in realistic microvascular geometries.Mathematical medicine and biology : a journal of the IMA · 2016Article
- The roadmap for estimation of cell-type-specific neuronal activity from non-invasive measurements.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2016Review
- Microvascular hemodynamics in the chick chorioallantoic membrane.Microcirculation (New York, N.Y. : 1994) · 2016Article
- Fractal regional myocardial blood flows pattern according to metabolism, not vascular anatomy.American journal of physiology. Heart and circulatory physiology · 2016Article
- Image-Based Modeling of Blood Flow and Oxygen Transfer in Feto-Placental Capillaries.PloS one · 2016Article
- Modeling of Cerebral Oxygen Transport Based on In vivo Microscopic Imaging of Microvascular Network Structure, Blood Flow, and Oxygenation.Frontiers in computational neuroscience · 2016Review
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
2 authors at 1 institution in 2 countries.
Funding
Abstract
A realistic geometric model for the three-dimensional capillary network geometry is used as a framework for studying the transport and consumption of oxygen in cardiac tissue. The nontree-like capillary network conforms to the available morphometric statistics and is supplied by a single arterial source and drains into a pair of venular sinks. We explore steady-state oxygen transport and consumption in the tissue using a mathematical model which accounts for advection in the vascular network, nonlinear binding of dissolved oxygen to hemoglobin and myoglobin, passive diffusion of freely dissolved and protein-bound oxygen, and Michaelis-Menten consumption in the parenchymal tissue. The advection velocity field is found by solving the hemodynamic problem for flow throughout the network. The resulting system is described by a set of coupled nonlinear elliptic equations, which are solved using a finite-difference numerical approximation. We find that coupled advection and diffusion in the three-dimensional system enhance the dispersion of oxygen in the tissue compared to the predictions of simplified axially distributed models, and that no "lethal corner," or oxygen-deprived region occurs for physiologically reasonable values for flow and consumption. Concentrations of 0.5-1.0 mM myoglobin facilitate the transport of oxygen and thereby protect the tissue from hypoxia at levels near its P50, that is, when local oxygen consumption rates are close to those of delivery by flow and myoglobin-facilitated diffusion, a fairly narrow range.
Indexed as
Identifiers
What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.