Productivity optimization of microalgae cultivation in a batch photobioreactor process

Héctor Ramírez, Alejandro Rojas-Palma, David Jeison

Research output: Contribution to journalArticlepeer-review


We address the question of mean biomass volumetric productivity optimization, which originates from the simplification of dynamics of microalgae in a batch bioreactor process with light incidence. In particular, the stability of the model is analyzed, some optimality necessary conditions for the nonsmooth optimization problem obtained through the inclusion of different photoperiods are studied, and the model is applied in the particular case of Chlamydomonas reinhardtii microalgae to validate our results.

Original languageEnglish
Pages (from-to)386-406
Number of pages21
JournalMathematical Methods in the Applied Sciences
Issue number1
StatePublished - 15 Jan 2018


  • batch culture
  • discontinuous differential equation
  • light/dark cycles
  • nonsmooth optimization
  • photobioreactors
  • volumetric productivity


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