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Isolation and Analysis of Plasma Lipoproteins by Ultracentrifugation
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Translation of two aggregated low-density lipoproteins within blood plasma: a mathematical model

Maria Hadjinicolaou1, Eleftherios Protopapas

  • 1School of Science and Technology, Hellenic Open University, 11 Sahtouri str., Patras, Greece, GR-26 222, hadjinicolaou@eap.gr.

Advances in Experimental Medicine and Biology
|November 24, 2014
PubMed

Insights

This study models aggregated low-density lipoproteins (LDLs) in blood plasma to understand atherosclerosis. The mathematical approach provides insights into lipoprotein precipitation for concentration measurement.

Area of Science:

  • Biophysics
  • Fluid Dynamics
  • Cardiovascular Science

Background:

  • Arteriosclerosis involves artery wall thickening, while atherosclerosis restricts blood flow and elevates pressure.
  • Low-density lipoproteins (LDLs) aggregation is a key factor in atherosclerosis development.

Purpose of the Study:

  • To develop a mathematical model simulating the movement of two aggregated LDLs in blood plasma.
  • To provide a foundational understanding for lipoprotein precipitation methods used in concentration measurement.

Main Methods:

  • Modeling aggregated LDLs as inverted oblate spheroids.
  • Applying creeping flow, Kelvin inversion, and semi-separation of variables in spheroidal coordinates.
  • Deriving a stream function using a series expansion of Gegenbauer functions.

Main Results:

  • An analytical solution for the translation of two aggregated LDLs was obtained.
  • The solution describes the fluid dynamics of aggregated LDLs in plasma.

Conclusions:

  • The mathematical model offers insights into the behavior of aggregated LDLs.
  • This work is a crucial first step for improving lipoprotein concentration measurement through chemical precipitation.

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