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Modeling virus transport and dynamics in viscous flow medium.
Dharmendra Tripathi1, Dinesh Bhandari1, Rakesh Kumar2
1Department of Mathematics, National Institute of Technology Uttarakhand, Srinagar, India.
Journal of Biological Dynamics
|March 2, 2023
Summary
This study models virus transport in blood flow, finding smaller viruses spread faster. High viscosity slows virus movement, impacting transmission dynamics.
Area of Science:
- Fluid dynamics
- Virology
- Biomedical engineering
Background:
- Respiratory viruses like SARS-CoV-2 and Influenza-A pose significant public health risks.
- Understanding virus transport dynamics within biological fluids is crucial for predicting and controlling disease spread.
Purpose of the Study:
- To develop and utilize a mathematical model simulating virus transport in viscous background flow.
- To investigate the influence of various physical forces on virus locomotion.
- To analyze the transmission dynamics of specific respiratory viruses, SARS-CoV-2 and Influenza-A.
Main Methods:
- An Eulerian-Lagrangian approach was employed to track virus particle movement.
- The Basset-Boussinesq-Oseen equation was used to incorporate forces such as gravity, virtual mass, Basset force, and drag.
- Simulations were conducted to examine virus spread in both axial and transverse directions within a viscous fluid.
Main Results:
- Forces acting on virus particles significantly influence their transport velocity and transmission.
- Increased fluid viscosity was found to decelerate virus transport dynamics.
- Smaller virus particles exhibited more rapid propagation, particularly within blood vessels.
Conclusions:
- The mathematical model provides valuable insights into virus spread mechanisms in blood flow.
- Virus size and fluid viscosity are critical factors governing transmission rates.
- This research aids in understanding the complex dynamics of viral pathogens in biological systems.
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