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Related Concept Videos

Blood Flow01:29

Blood Flow

Blood is pumped by the heart into the aorta, the largest artery in the body, and then into increasingly smaller arteries, arterioles, and capillaries. The velocity of blood flow decreases with increased cross-sectional blood vessel area. As blood returns to the heart through venules and veins, its velocity increases. The movement of blood is encouraged by smooth muscle in the vessel walls, the movement of skeletal muscle surrounding the vessels, and one-way valves that prevent backflow.
Laminar and Turbulent Flow01:07

Laminar and Turbulent Flow

Fluid dynamics is the study of fluids in motion. Velocity vectors are often used to illustrate fluid motion in applications like meteorology. For example, wind—the fluid motion of air in the atmosphere—can be represented by vectors indicating the speed and direction of the wind at any given point on a map. Another method for representing fluid motion is a streamline. A streamline represents the path of a small volume of fluid as it flows. When the flow pattern changes with time, the streamlines...
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models00:57

Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models

Physiological pharmacokinetic models, often called flow-limited or perfusion models, typically assume a swift drug distribution between tissue and venous blood, creating a rapid drug equilibrium. This premise is based on the idea that drug diffusion is extremely fast, and the cell membrane presents no barrier to drug permeation. In this scenario, where no drug binding occurs, the drug concentration in the tissue equals that of the venous blood leaving the tissue. This greatly simplifies the...
Modeling and Similitude01:12

Modeling and Similitude

Scaled modeling is a fundamental technique in engineering, enabling the study of large and complex systems by creating smaller, manageable replicas that recreate critical characteristics of the original. In hydrology and civil infrastructure, for example, scaled models of dams help analyze water flow, turbulence, and pressure. This method allows for accurate predictions of real-world behavior within a controlled environment, significantly reducing the cost and time involved in full-scale...
Typical Model Studies01:30

Typical Model Studies

Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
Applications of Integration to Find Blood Flow01:27

Applications of Integration to Find Blood Flow

Blood flow through a cylindrical blood vessel can be mathematically described using the principles of laminar flow, a regime in which fluid moves smoothly in parallel layers. In this model, the velocity of the blood is not uniform across the cross-section of the vessel; rather, it varies with the radial distance from the center. The maximum velocity occurs along the central axis, decreasing progressively toward the vessel walls, where it reaches zero due to viscous drag.Approximating Blood...

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Related Experiment Video

Updated: Jul 21, 2026

Image-guided, Laser-based Fabrication of Vascular-derived Microfluidic Networks
10:53

Image-guided, Laser-based Fabrication of Vascular-derived Microfluidic Networks

Published on: January 3, 2017

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Modeling Hemodynamics in Three-Dimensional, Biomimetic, Branched, Microfluidic, Vascular Networks.

Rahul Ramanathan1, Andy Borum2,3, David M Rooney2

  • 1Bioengineering Program, DeMatteis School of Engineering and Applied Science, Hofstra University, Hempstead, New York, USA.

Microcirculation (New York, N.Y. : 1994)
|September 25, 2024
PubMed
Summary

A new mathematical model predicts blood flow in capillary beds by analyzing vessel structure. This tool aids research in neovascularization and tissue engineering for regenerative medicine.

Keywords:
capillary networkcomputational modelinghemodynamicsretinal microcirculationvascular biology

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Related Experiment Videos

Last Updated: Jul 21, 2026

Image-guided, Laser-based Fabrication of Vascular-derived Microfluidic Networks
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Area of Science:

  • Biomedical Engineering
  • Physiology
  • Microfluidics

Background:

  • Neovascularization is crucial in physiological and disease processes.
  • Vascular microfluidic platforms recreate in vitro environments for neovascularization.
  • Biomechanical properties and fluid dynamics in engineered tissues mimic organ systems for personalized medicine.

Purpose of the Study:

  • To present a mathematical model for predicting hemodynamic parameters in capillary beds.
  • To demonstrate the model's application in microfluidic systems.

Main Methods:

  • Developing a mathematical model based on branching patterns and vessel morphology.
  • Utilizing fluid hemodynamics to study flow patterns and mimic physiological processes.
  • Applying shear stress to encourage endothelial cell proliferation and differentiation.

Main Results:

  • The model predicts hemodynamic parameters in capillary beds using branching patterns and vessel morphology.
  • A retinal capillary bed was used as a case study to validate the model's applicability.
  • Demonstrated the framework's utility for determining hemodynamic parameters in microfluidic systems.

Conclusions:

  • The developed mathematical model can predict hemodynamic parameters in capillary beds.
  • This tool can be adapted to support research in neovascularization.
  • The model facilitates the creation of systems mimicking physiological pathways for regenerative medicine.