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Updated: Jul 11, 2025

A Model to Simulate Clinically Relevant Hypoxia in Humans
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Mathematical models describing oxygen binding by hemoglobin.

Igor A Lavrinenko1, Gennady A Vashanov1, José L Hernández Cáceres2

  • 1Department of Human and Animal Physiology, Voronezh State University, Voronezh, 394018 Russia.

Biophysical Reviews
|November 17, 2023
PubMed
Summary
This summary is machine-generated.

This review explores mathematical models for hemoglobin

Keywords:
Cooperative bindingHill equationKNFMWCMathematical modelOxygen binding by hemoglobinOxyhemoglobin dissociation curve

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Area of Science:

  • Biophysics
  • Biochemistry
  • Mathematical Biology

Background:

  • Hemoglobin's structural and functional properties have been studied for over 150 years.
  • Mathematical models are crucial for understanding hemoglobin's cooperative ligand binding mechanisms.

Purpose of the Study:

  • To review mathematical models of oxygen binding by hemoglobin.
  • To analyze classical and modern models, including those based on allosteric theories.

Main Methods:

  • Review of established equations (Hüfner, Hill, Adair).
  • Analysis of advanced models (Szabo-Karplus, tertiary two-state models).
  • Examination of power-law dependencies and data approximation challenges.

Main Results:

  • Demonstrated generality of power-dependent equations for oxygen binding.
  • Discussed issues and solutions for approximating experimental data with correlated parameters.
  • Highlighted empirical and extended Hill equations with modulated cooperativity coefficients.

Conclusions:

  • Mathematical modeling remains vital for elucidating hemoglobin function.
  • A range of models, from classical to advanced, are applicable.
  • Understanding cooperativity modulation is key for accurate data fitting.