A parametric logistic equation with light flux and medium concentration for cultivation planning of microalgae

Kazuki Kambe, Yasutaka Hirokawa, Asuka Koshi, Yutaka Hori

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Microalgae are considered to be promising producers of bioactive chemicals, feeds and fuels from carbon dioxide by photosynthesis. Thus, the prediction of microalgal growth profiles is important for the planning of cost-effective and sustainable cultivation-harvest cycles. This paper proposes a mathematical model capable of predicting the effect of light flux into culture and medium concentration on the growth profiles of microalgae by incorporating these growth-limiting factors into a logistic equation. The specific form of the equation is derived based on the experimentally measured growth profiles of Monoraphidium sp., a microalgal strain isolated by the authors, under 16 conditions consisting of combinations of incident light fluxes into culture and initial medium concentrations. Using a cross-validation method, it is shown that the proposed model has the ability to predict necessary incident light flux into culture and initial medium concentration for harvesting target biomass at a target time. Finally, model-guided cultivation planning is performed and is evaluated by comparing the result with experimental data.

Original languageEnglish
Article number20220166
JournalJournal of the Royal Society Interface
Issue number191
Publication statusPublished - 2022 Jun 15


  • cultivation planning
  • growth profile
  • light flux
  • logistic equation
  • medium concentration
  • microalgae

ASJC Scopus subject areas

  • Biotechnology
  • Biophysics
  • Bioengineering
  • Biomaterials
  • Biochemistry
  • Biomedical Engineering


Dive into the research topics of 'A parametric logistic equation with light flux and medium concentration for cultivation planning of microalgae'. Together they form a unique fingerprint.

Cite this