Dynamic modeling and simulation of a three-phase fluidized bed batch process for wastewater treatment

Aerobic biodegradation kinetics of tannic acid in activated sludge system

“…In the present study, batch experiments were conducted to find the optimal conditions (including temperature, pH and DO) for TA biodegradation in simulated wastewater. With this as a basis, the kinetics of the biodegradation process were studied in accord with the widely applied Haldane model [21,[26][27][28][29][30] by taking into consideration both substrate inhibition and endogenous metabolism. The kinetic parameters were thus determined.…”

Modelling the simultaneous processes occurring during the BOD5 test using synthetic waters as a pattern

“…The integrated equations for Eqs. (17)(18)(19) are obviously the same that Eqs. (4-6) the only change being that the parameters and X now refer to the consortium according to the above nomenclature.…”

“…This is a modification of the previous model to include the possibility that bacteria may also disappear due to cellular death or endogenous metabolism [18,19]:…”

“…To include such aspects, many authors have claimed that the Monod saturation model [13], should be considered in order to relate the growth rate of the microorganism to the biodegradable substrate concentration [14][15][16]. Some refinements of the Monod model have also been suggested so that the effect of the endogenous metabolism of microorganisms can be included [17,18]. Marsili-Libelli [19] preferred to model the BOD system using differential equations in order to unravel how the concentrations of bacteria, substrate and BOD change with time, considering that bacterial growth and oxygen demand are stoichiometric processes that must include both the synthesis and endogenous metabolism of biomass.…”

Mathematical and kinetic modeling of biofilm reactor based on ant colony optimization

“…The rates of biological reactions are usually described by Monod kinetics and also some times by Contois and Haldane models. Several attempts have been made in the past to determine the parameters of kinetic models of biofilm reactors, mostly experimentally [2][3][4][5][6][7]. Numerical evaluation of the kinetic parameters for biofilm processes is an attractive alternative to the experimental methods as reported by various researchers [8][9][10][11].…”