RT Journal Article
T1 Evaluation and mathematical analysis of a four-dimensional lotka–volterra-like equation designed to describe the batch nisin production system
A1 Giménez Palomares, Fernando
A1 Fernández de Córdoba, Pedro
A1 Mejuto Fernández, Juan Carlos
A1 Bendaña Jácome, Ricardo Javier
A1 Perez Guerra, Nelson
K1 3309 Tecnología de Los Alimentos
K1 2302.12 Fermentación
K1 12 Matemáticas
AB Nisin, an antibacterial compound produced by Lactococcus lactis strains, has been approved by the US Food and Drug Administration to be used as a safe food additive to control the growth of undesirable pathogenic bacteria. Nisin is commonly described as a pH-dependent primary metabolite since its production depends on growth and culture pH evolution. However, the relationships between bacteriocin synthesis (BT), biomass production (X), culture pH, and the consumption of the limiting nutrient (total nitrogen: TN) have not been described until now. Therefore, this study aims to develop a competitive four-dimensional Lotka–Volterra-like Equation (predator-prey system) to describe these complex relationships in three series of batch fermentations with L. lactis CECT 539 in diluted whey (DW)-based media. The developed four-dimensional predator-prey system accurately described each individual culture, providing a good description of the relationships between pH, TN, X, and BT, higher values for R2 and F-ratios, lower values (<10%) for the mean relative percentage deviation modulus, with bias and accuracy factor values approximately equal to one. The mathematical analysis of the developed equation showed the existence of one asymptotically stable equilibrium point, and the phase’s diagram obtained did not show the closed elliptic trajectories observed in biological predator-prey systems.
PB Mathematics
SN 22277390
YR 2022
FD 2022-02-22
LK http://hdl.handle.net/11093/3159
UL http://hdl.handle.net/11093/3159
LA eng
NO Mathematics, 10(5): 677 (2022)
NO Xunta de Galicia | Ref. ED431C2018/42-GRC
DS Investigo
RD 13-sep-2024