A mathematical analysis of cooperativity and fractional saturation of oxygen in hemoglobin

Mukhtar Ahmad Khanday

Article Details

A mathematical analysis of cooperativity and fractional saturation of oxygen in hemoglobin

Authors:

Mukhtar Ahmad Khanday

Publisher:

Ankara University

Main Topics:

Applied Mathematics

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 1, pp.118-128

Document Type:

Article

Publication Date:

3/2023

Document Language:

English

Document ID (Org No.):

2001284987

pISSN:

1303-5991

Keywords:

Abstract:

 Hemoglobin Hb possesses good properties of cooperative system and it normally executes oxygen and other essential items via erythrocytes in the body. The chemical action of Hb is to combine with oxygen  O 2  O2 in the lungs to form oxyhemoglobin  H b O 2  HbO2 . Binding of oxygen with a hemoglobin is one of the important cooperative mechanism and is an emerging mathematical research area with wide range of applications in biomedical engineering and medical physiology. To this end, a mathematical model is proposed to study the fractional saturation of oxygen in hemoglobin to understand the binding effect and its stability at various stages. The mathematical formulation is based on the system of ordinary differential equations together with rate equations under different association and dissociation rate constants. The five states of the cooperative systems Hb, HbO_2, HbO_2_2, HbO_2_3 and HbO_2_4 are modelled and the Hills function has been used to approximate the binding effect and saturation of ligand O_2 with respect to various rate constants. Also, the Adair equation has been employed to interpret the saturation concentrations of oxygen in hemoglobin.

 Hemoglobin Hb possesses good properties of cooperative system and it normally executes oxygen and other essential items via erythrocytes in the body. The chemical action of Hb is to combine with oxygen  O 2  O2 in the lungs to form oxyhemoglobin  H b O 2  HbO2 . Binding of oxygen with a hemoglobin is one of the important cooperative mechanism and is an emerging mathematical research area with wide range of applications in biomedical engineering and medical physiology. To this end, a mathematical model is proposed to study the fractional saturation of oxygen in hemoglobin to understand the binding effect and its stability at various stages. The mathematical formulation is based on the system of ordinary differential equations together with rate equations under different association and dissociation rate constants. The five states of the cooperative systems Hb, HbO_2, HbO_2_2, HbO_2_3 and HbO_2_4 are modelled and the Hills function has been used to approximate the binding effect and saturation of ligand O_2 with respect to various rate constants. Also, the Adair equation has been employed to interpret the saturation concentrations of oxygen in hemoglobin.

 Hemoglobin Hb possesses good properties of cooperative system and it normally executes oxygen and other essential items via erythrocytes in the body. The chemical action of Hb is to combine with oxygen  O 2  O2 in the lungs to form oxyhemoglobin  H b O 2  HbO2 . Binding of oxygen with a hemoglobin is one of the important cooperative mechanism and is an emerging mathematical research area with wide range of applications in biomedical engineering and medical physiology. To this end, a mathematical model is proposed to study the fractional saturation of oxygen in hemoglobin to understand the binding effect and its stability at various stages. The mathematical formulation is based on the system of ordinary differential equations together with rate equations under different association and dissociation rate constants. The five states of the cooperative systems Hb, HbO_2, HbO_2_2, HbO_2_3 and HbO_2_4 are modelled and the Hills function has been used to approximate the binding effect and saturation of ligand O_2 with respect to various rate constants. Also, the Adair equation has been employed to interpret the saturation concentrations of oxygen in hemoglobin.

 Hemoglobin Hb possesses good properties of cooperative system and it normally executes oxygen and other essential items via erythrocytes in the body. The chemical action of Hb is to combine with oxygen  O 2  O2 in the lungs to form oxyhemoglobin  H b O 2  HbO2 . Binding of oxygen with a hemoglobin is one of the important cooperative mechanism and is an emerging mathematical research area with wide range of applications in biomedical engineering and medical physiology. To this end, a mathematical model is proposed to study the fractional saturation of oxygen in hemoglobin to understand the binding effect and its stability at various stages. The mathematical formulation is based on the system of ordinary differential equations together with rate equations under different association and dissociation rate constants. The five states of the cooperative systems Hb, HbO_2, HbO_2_2, HbO_2_3 and HbO_2_4 are modelled and the Hills function has been used to approximate the binding effect and saturation of ligand O_2 with respect to various rate constants. Also, the Adair equation has been employed to interpret the saturation concentrations of oxygen in hemoglobin.

Article Details

A mathematical analysis of cooperativity and fractional saturation of oxygen in hemoglobin

Authors:

Mukhtar Ahmad Khanday

Publisher:

Ankara University

Main Topics:

Applied Mathematics

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 1, pp.118-128

Document Type:

Article

Publication Date:

3/2023

Document Language:

English

Document ID (Org No.):

2001284987

pISSN:

1303-5991

Hemoglobin (Hb)

cooperativity

steady states

ordinary differential equations

rate equations

fractional saturation

Issues

Article Details

A mathematical analysis of cooperativity and fractional saturation of oxygen in hemoglobin

Authors: Mukhtar Ahmad Khanday

Publisher: Ankara University

Main Topics: Applied Mathematics

Journal: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 1, pp.118-128

Document Type: Article

Publication Date: 3/2023

Document Language: English

Document ID (Org No.): 2001284987

pISSN: 1303-5991

Hemoglobin (Hb)

cooperativity

steady states

ordinary differential equations

rate equations

fractional saturation

Issues

Authors:

Mukhtar Ahmad Khanday

Publisher:

Ankara University

Main Topics:

Applied Mathematics

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 1, pp.118-128

Document Type:

Article

Publication Date:

3/2023

Document Language:

English

Document ID (Org No.):

2001284987

pISSN:

1303-5991