Related Experiment Video
Updated: Aug 23, 2026

Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior
Published on: January 31, 2020
Enhanced (hydrodynamic) transport induced by population growth in reaction-diffusion systems with application to
Marcel Ovidiu Vlad1, L Luca Cavalli-Sforza, John Ross
1Department of Chemistry, Stanford University, Stanford, CA 94305-5080, USA.
Abstract:
We consider a system made up of different physical, chemical, or biological species undergoing replication, transformation, and disappearance processes, as well as slow diffusive motion. We show that for systems with net growth the balance between kinetics and the diffusion process may lead to fast, enhanced hydrodynamic transport. Solitary waves in the system, if they exist, stabilize the enhanced transport, leading to constant transport speeds. We apply our theory to the problem of determining the original mutation position from the current geographic distribution of a given mutation. We show that our theory is in good agreement with a simulation study of the mutation problem presented in the literature. It is possible to evaluate migratory trajectories from measured data related to the current distribution of mutations in human populations.
More Related Videos
Related Concept Videos
Population Growth
Modeling with Differential Equations
Analysis of Population Pharmacokinetic Data
Mutation, Gene Flow, and Genetic Drift
What is Population Genetics?
Growth Models with Integration: Problem Solving

