Related Experiment Video
Updated: May 12, 2026

Sealable Femtoliter Chamber Arrays for Cell-free Biology
Published on: March 11, 2015
Dynamic noise, chaos and parameter estimation in population biology
N Stollenwerk1, M Aguiar, S Ballesteros
1Centro de Matemática e Aplicações Fundamentais , Universidade de Lisboa, Avenida Prof. Gama Pinto 2, 1649-003 Lisbon , Portugal.
Abstract:
We revisit the parameter estimation framework for population biological dynamical systems, and apply it to calibrate various models in epidemiology with empirical time series, namely influenza and dengue fever. When it comes to more complex models such as multi-strain dynamics to describe the virus-host interaction in dengue fever, even the most recently developed parameter estimation techniques, such as maximum likelihood iterated filtering, reach their computational limits. However, the first results of parameter estimation with data on dengue fever from Thailand indicate a subtle interplay between stochasticity and the deterministic skeleton. The deterministic system on its own already displays complex dynamics up to deterministic chaos and coexistence of multiple attractors.
Related Concept Videos
Population Growth
Mechanistic Models: Compartment Models in Individual and Population Analysis
Modeling with Differential Equations
Distributions to Estimate Population Parameter
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Mutation, Gene Flow, and Genetic Drift

