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Related Concept Videos

Structure and Function of Leukocytes01:21

Structure and Function of Leukocytes

An adult in good health typically has between 4,500 and 11,000 leukocytes, or white blood cells, per microliter of blood, which constitutes about 1% of the total blood volume. Unlike red blood cells, white blood cells contain a nucleus and other cellular organelles but do not have hemoglobin. Most white blood cells reside in connective tissues, particularly in lymphatic organs such as the lymph nodes, with only a small fraction present in circulating blood.
White blood cells protect the body...
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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...
Glomerular Filtration01:15

Glomerular Filtration

The filtration membrane in the renal system is a highly specialized structure essential for filtering blood. It consists of glomerular capillaries and podocytes, forming a selective barrier that permits the passage of water and small solutes while restricting most plasma proteins and blood cells.
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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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Filtration and Urine Formation

The function of the kidneys is to filter, reabsorb, secrete, and excrete. Every day the kidneys filter nearly 180 liters of blood, initially removing water and solutes but ultimately returning nearly all filtrates into circulation with the help of osmoregulatory hormones. This process removes wastes and toxins but is also crucial to maintain water and electrolyte levels. Most of these functions are performed by the tiny but numerous nephrons contained within the kidneys.

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Related Experiment Video

Updated: Jul 3, 2026

Leukocyte Infiltration of Cremaster Muscle in Mice Assessed by Intravital Microscopy
08:11

Leukocyte Infiltration of Cremaster Muscle in Mice Assessed by Intravital Microscopy

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A mathematical model for the leukocyte filtration process.

A Bruil1, T Beugeling, J Feijen

  • 1University of Twente, Department of Chemical Technology, P.O. Box 217, 7500 AE Enschede, The Netherlands.

Biotechnology and Bioengineering
|January 20, 1995
PubMed
Summary

A new mathematical model optimizes leukocyte filters for blood transfusions by predicting filtration efficiency based on cell interactions and filter properties. This model accurately describes leukocyte removal in clinical settings.

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Area of Science:

  • Biomedical Engineering
  • Hematology
  • Filtration Technology

Background:

  • Leukocyte filters are crucial for removing leukocytes from blood products to prevent transfusion reactions.
  • Optimizing leukocyte filter performance requires a deeper understanding of the filtration process.
  • Existing models may not fully capture the complexities of leukocyte filtration dynamics.

Purpose of the Study:

  • To develop and validate a mathematical model for predicting leukocyte filtration.
  • To optimize leukocyte filter design and performance through predictive modeling.
  • To understand the influence of various parameters on leukocyte removal efficiency.

Main Methods:

  • Modification of a general theoretical model for depth filtration.
  • Incorporation of parameters such as cell-cell interaction, filter efficiency, capacity, dimensions, and leukocyte concentration.
  • Validation of the model against existing leukocyte filtration experimental data.

Main Results:

  • The developed mathematical model accurately predicts time-dependent leukocyte filtration.
  • The model accounts for critical factors including cell-cell interactions and filter characteristics.
  • Model predictions showed good agreement with previously reported experimental results.

Conclusions:

  • The presented mathematical model offers a valuable tool for optimizing leukocyte filters.
  • This model can guide the design and application of more effective leukocyte removal systems.
  • Predictive modeling enhances the understanding and efficiency of leukocyte filtration processes.