Worldwide, Mexico is the sixth place in production of farmed white shrimp ( Penaeus vannamei). This activity has suffered great economic losses due to the acute Hepatopancreatic Necrosis disease (AHPND) which is caused by a strain of Vibrio parahaemolyticus. For control, the first option is the application of antibiotics in food, causing changes in the environment and bacterial communities, this has caused greater virulence and resistance of pathogenic bacteria. An alternative treatment is silver nanoparticles (AgNPs ) generated by green synthesis, which have been shown to have antibacterial capacity, by destroying the cell membrane or passing into the interior of the cell. However, the doses at which these are effective are still unknown. For this reason, the objective of this research is to calculate the minimum inhibitory concentration (MIC) using the Gompertz , Richard and Logistic model of AgNPs -Ep biosynthesizes against a strain of V. parahaemolyticus , and to test the effect of applying different doses and concentrations of those synthesized from Euphorbia prostrata (Ep) on V. parahaemolyticus causing (VpAHPND ) in white shrimp. Aqueous and ethanolic extracts of Ep were obtained, after which an analysis of phenols and flavonoids was carried out. In the antibiograms, the AgNPs with 20% alcohol extract (Ep) and 30% alcohol extracts were the treatments with the highest inhibition 18±1.73 and 17.67±2.08 mm (well dilution) for V. parahaemolyticus . A microdilution in broth was carried out and the inhibitory agents (aqueous extracts, ethanolic and AgNPs -Ep) and 20 μL of Vibrio inoculum, the MIC was taken as the lowest concentration of antibacterial agents that inhibit the growth of Vibrio . Finally, extract concentration with inhibition was (OH at 10% was 57-73; 20% from 65-81 and 30% from 32- 65 mg/mL) and nanoparticles (from AgNPs-EpOH of 10-30% was 6.2 ug/mL). The calculation of the inhibitory concentration of V. parahaemolyticus was determined within the previous intervals of the optical density (OD) tests. Emphasized the usefulness of modified templates: Gompertz, Richards and Logistic . The Akaike index (AIC) was used to choose the winning model to calculate the models and inhibition curves of V.parahaemolyticus with different concentrations of Ep and AgNPs-Ep.
Keywords: Green synthesis, Euphorbia prostata , Phenols and Flavonoids, bactericide.