Reduced models of algae growth

Heikki Haario, Leonid Kalachev, Marko Laine

Research output: Contribution to journalArticlepeer-review

Abstract

The simulation of biological systems is often plagued by a high level of noise in the data, as well as by models containing a large number of correlated parameters. As a result, the parameters are poorly identified by the data, and the reliability of the model predictions may be questionable. Bayesian sampling methods provide an avenue for proper statistical analysis in such situations. Nevertheless, simulations should employ models that, on the one hand, are reduced as much as possible, and, on the other hand, are still able to capture the essential features of the phenomena studied. Here, in the case of algae growth modeling, we show how a systematic model reduction can be done. The simplified model is analyzed from both theoretical and statistical points of view.

Original languageEnglish
Pages (from-to)1626-1648
Number of pages23
JournalBulletin of Mathematical Biology
Volume71
Issue number7
DOIs
StatePublished - Oct 2009

Keywords

  • Adaptive Markov chain Monte Carlo
  • Algae growth modeling
  • Asymptotic methods
  • MCMC
  • Model reduction

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