BioLab Parameter Explorer

Parameter Search estimates kinetic parameters for microbial growth and substrate consumption models by fitting time-course measurements of biomass and residual substrate.

Fill the experimental table with the sampling times (in hours) and the measured concentrations (g/L). Use the algorithm controls to tune the particle swarm optimization (PSO) strategy—adjust the swarm size, cognitive and social weights, inertia factor, and iteration limit to reflect the variability of your dataset. Model bounds let you constrain feasible ranges for each kinetic parameter before running the search.

After clicking Run search, the tool evaluates all supported kinetic expressions, displays the PSO progress, and plots the simulated curves against your data. Each card lists the optimized coefficients together with the maintenance term derived from Pirt (1965), so you can compare how different formulations reproduce the experiment without leaving the page.

Differential balances for biomass growth and substrate uptake
Experimental data
Time (h) Substrate (g/L) Cells (g/L)
Algorithm parameters
Parameter Value
Model bounds

References

AIBA, S.; SHODA, M.; NAGATANI, M. Kinetics of product inhibition in alcohol fermentation. Biotechnology and Bioengineering, v. 10, n. 6, pp. 845-864, Nov. 1968.

ANDREWS, John F. A mathematical model for the continuous culture of microorganisms utilizing inhibitory substrates. Biotechnology and Bioengineering, v. 10, n. 6, pp. 707-723, Nov. 1968.

BERGTER, F. Kinetic model of mycelial growth. Zeitschrift für allgemeine Mikrobiologie, v. 18, n. 2, pp. 143-145, Jan. 1978.

CONTOIS, D. E. Kinetics of bacterial growth: relationship between population density and specific growth rate of continuous cultures. Journal of General Microbiology, v. 21, n. 1, pp. 40-50, Aug. 1959.

MONOD, Jacques. The growth of bacterial cultures. Annual Review of Microbiology, v. 3, n. 1, pp. 371-394, 1949.

MOSER, H. The dynamics of bacterial populations maintained in the chemostat. Washington, D.C.: Carnegie Institution of Washington, 1958.

PIRT, S. J. The maintenance energy of bacteria in growing cultures. Proceedings of the Royal Society of London. Series B. Biological Sciences, v. 163, n. 991, p. 224-231, 1965.

TESSIER, G. Les lois quantitatives de la croissance. Annales de Physiologie et de Physiochimie Biologique, v. 12, pp. 527-571, 1936.