Mathematical analysis of oxygen and carbon dioxide exchange in the human capillary and tissue system

AUH Lone, MA Khanday - Computer Methods in Biomechanics …, 2023 - Taylor & Francis
Human body has a great ability to maintain homeostasis and the respiratory system plays a
pivotal role in physiological processes. In this paper, a mathematical model of oxygen and …

An analytical model for oxygen transport in tissue capillaries in a hyperbaric environment with first order metabolic consumption

M Sharan, MP Singh, B Singh - Mathematical and Computer Modelling, 1995 - Elsevier
A mathematical model for oxygen transport in the systemic capillary and the surrounding
tissue is described. The model takes into account the molecular diffusion in both axial and …

Explicit finite difference method to estimate oxygen concentration in biological tissues under variable oxygen tension in capillaries

AUH Lone, MA Khanday… - Computational and …, 2021 - Wiley Online Library
A mathematical model based on radial reaction‐diffusion equation has been formulated. An
explicit formula of finite difference method based on the forward‐time central‐space (FTCS) …

The effects of chemical kinetics on oxygen delivery to tissue

M Sharan, S Selvakumar - Mathematical biosciences, 1992 - Elsevier
A mathematical model has been formulated to analyze the effect of nonequilibrium kinetics
on oxygen delivery to tissue. The model takes into account molecular diffusion, facilitated …

[PDF][PDF] Study of an oxygenation process in capillary in the presence of magnetic field

R Bali, U Awasthi, SK Sharma - International Journal of Applied …, 2011 - m-hikari.com
A mathematical model for the transport of oxygen in the systemic capillaries and the
surrounding tissue in presence of magnetic field is presented in this paper. We have …

[PDF][PDF] A FOUR-COMPARTMENT MODEL TO ESTIMATE OXYGEN AND CARBON DIOXIDE EXCHANGE CONCENTRATIONS VIA BLOOD USING EIGENVALUE …

AUH Lone, MA Khanday… - South East Asian Journal of …, 2021 - researchgate.net
A mathematical model of oxygen and carbon dioxide transport via blood in the human body
has been formulated. The model is represented by four compartments: alveolar tissue …

Oxygen Transport In and Around the Systemic Capillary in Hyperbaric Environment

J Rana, P Murthy, RSR Gorla - Chemical Engineering …, 2017 - Taylor & Francis
Oxygen transport from a systemic capillary to its surrounding tissue region in the hyperbaric
environment is analyzed. Longitudinal and transversal diffusion in the capillary and tissue …

A numerical model for the simultaneous transport of oxygen and carbon dioxide in the systemic capillaries and surrounding tissue

M Sharan, S Selvakumar - Journal of Computational Methods …, 2006 - content.iospress.com
A mathematical model is formulated for the simultaneous transport of oxygen (O 2) and
carbon dioxide (CO 2) in the systemic capillaries and surrounding tissue. The model takes …