Journal Article

Toxicity in a water column following the stratification of a cyanobacterial population development in a calm lake


in Mathematical Medicine and Biology: A Journal of the IMA

Published on behalf of Institute of Mathematics and its Applications

Volume 16, issue 1, pages 93-110
Published in print March 1999 | ISSN: 1477-8599
Published online March 1999 | e-ISSN: 1477-8602 | DOI:
Toxicity in a water column following the stratification of a cyanobacterial population development in a calm lake

More Like This

Show all results sharing these subjects:

  • Applied Mathematics
  • Biomathematics and Statistics


Show Summary Details


Cyanobacteria, including the genera Anabaena, Aphanizomenon, Micmcystis, and Oscillatoria, are known to release or have the potential to release phycotoxins into the water. Indeed, there are documented cases of both animal and human intoxication. Data obtained from field observations and laboratory experiments demonstrate a correlation between the development of the cyanobacterial population and the level of phycotoxin present in the water, though it should be noted that not all cyanobacterial blooms are toxic. The development of cyanobacterial populations is described by a dynamical model which accounts for factors that include algal growth, degradation, and light-driven buoyancy under the assumption of an isothermal, calm, and nutrient-abundant lake. A semiempirical mathematical model for water-column toxicity is developed and is used in conjunction with an improved result for the density of the cyanobacteria population obtained from the dynamical model. Light transfer through the water column, light absorption, the implication of the differentiated attenuation of light by the water, and its diurnal effect on the cyanobacteria population is considered. The result of which is a plausible description of the seasonal development of cyanobacteria populations and of the toxicity within the water body.

Keywords: aqua cyanobacteria; algae; phycotoxin

Journal Article.  0 words. 

Subjects: Applied Mathematics ; Biomathematics and Statistics

Full text: subscription required

How to subscribe Recommend to my Librarian

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.