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Related Concept Videos

Development of the Lymphatic System01:15

Development of the Lymphatic System

The development of lymphatic tissues and vessels in embryonic life begins around the fifth week. These structures originate from the mesoderm layer, with lymph sacs emerging from developing veins.
The first lymph sacs to form are the paired jugular lymph sacs located at the junction of the internal jugular and subclavian veins. From these sacs, lymphatic capillary plexuses extend to the thorax, upper limbs, neck, and head, eventually forming lymphatic vessels. Each jugular lymph sac maintains a...
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Lymphatic Vessels and Lymph Transport

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Regulation of Angiogenesis and Blood Supply01:24

Regulation of Angiogenesis and Blood Supply

Rapidly dividing tumors, embryos, and wounded tissues require more oxygen than usual, lowering the oxygen concentration in the blood. At low oxygen or hypoxic conditions, an oxygen-sensitive transcription factor called the hypoxia-inducible factor 1 or HIF1 is activated. HIF1 is a dimeric protein of alpha (ɑ) and beta (β) subunits.  Under optimal oxygen conditions, HIF1β is present in the nucleus while HIF1ɑ remains in the cytosol. HIF1ɑ is hydroxylated by prolyl hydroxylase and factor...
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Overview of the Vascular System

The vascular system comprises an extensive network of arteries, capillaries, and veins. The vascular system can be broadly divided into the blood and lymphatic systems. Typically, blood vessels can be categorized into three histological regions: tunica intima, tunica media, and tunica adventitia. The tunica intima consists of a single layer of endothelial cells attached to the basal lamina. Underlying the basal lamina is a connective tissue layer and an elastic lamina that gives stability and...
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Functions of the Lymphatic and Immune System

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Isolation of Human Lymphatic Endothelial Cells by Multi-parameter Fluorescence-activated Cell Sorting
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Network development in biological gels: role in lymphatic vessel development.

Tiina Roose1, Andrew C Fowler

  • 1Centre for Industrial and Applied Mathematics and Centre for Mathematical Biology, Mathematical Institute, 24-29 St Giles', Oxford OX1 3LB, UK. roose@maths.ox.ac.uk

Bulletin of Mathematical Biology
|July 16, 2008
PubMed
Summary

This study models lymphatic vessel patterns in collagen gels using rubber material theory. A critical proton concentration triggers spatial pattern formation, simplifying complex equations for biological insights.

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Area of Science:

  • Biophysics
  • Materials Science
  • Vascular Biology

Background:

  • Lymphatic vessel morphology is crucial for fluid homeostasis and immune function.
  • Understanding the self-organization of lymphatic vessels in engineered tissues is essential for regenerative medicine.
  • Previous experimental work by Boardman and Swartz (2003) demonstrated pattern formation in collagen gels.

Purpose of the Study:

  • To develop a mathematical model explaining the prepatterning of lymphatic vessel morphology in collagen gels.
  • To investigate the role of proton concentration in lymphatic vessel development.
  • To explore the underlying physical principles governing tissue self-organization.

Main Methods:

  • Derivation of a model based on the theory of two-phase rubber material.
  • Formulation of two coupled fourth-order partial differential equations for collagen volume fraction and proton concentration.
  • Application of linear stability analysis to identify pattern-forming conditions.
  • Long-wavelength reduction to simplify the system, yielding an equation analogous to the Cahn-Hilliard equation.

Main Results:

  • A critical threshold of proton concentration was identified as a trigger for spatial pattern formation.
  • The complex system of differential equations was reduced to a single, albeit complex, fourth-order equation.
  • Numerical simulations demonstrated the emergence of patterned structures from initially uniform states.

Conclusions:

  • The model successfully explains the prepatterning of lymphatic vessel morphology in collagen gels.
  • Proton concentration plays a critical role in initiating spatial organization of lymphatic vessels.
  • The findings offer insights into the biophysical mechanisms of tissue morphogenesis and have implications for tissue engineering.