Related Experiment Video
Updated: May 12, 2026

Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population
Published on: January 31, 2025
Accurate computation of traveling wavefronts in a biological hydrodynamic model
1Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt. m.mansour4@hotmail.com
Abstract:
This paper concerns a hyperbolic-elliptic system of partial differential equations for the biological cell density and cell velocity. This system appears as a mathematical model for describing the dynamics of cell motion. Traveling wavefront solutions for the system of equations are computed by using two different numerical methods. One of the methods involves the traveling wave equations and solving an initial-value problem, which leads to accurate computations of the wave profile of cell density and the distributions of the cell velocity. The second method is to solve an initial-moving boundary-value problem for the PDE system, where the traveling wave emerges as the asymptotic long time solution.
More Related Videos
Related Concept Videos
Typical Model Studies
Traveling Waves: Lossless Lines
Design Example: Creating a Hydraulic Model of a Dam Spillway
Velocity and Acceleration of a Wave
The velocity of the particles can be obtained by taking the partial derivative of the position equation with respect to time. We can...
Travelling Waves
Water waves, sound waves, and seismic waves are some examples of mechanical waves. For water waves, the wave propagation medium is water;...

