Abstract
This work proposes a novel, generalized model for bacterial disinfection formulated in light of a stochastic paradigm. The model's formulation is based on an intensity of transition that is proportional to the product of general power functions of the bacteria's number concentration and time; thus, the generalized stochastic model embodies the results obtained from our earlier models. The proposed model gives rise to linear and non-linear cases of the master equation whose solution can be obtained analytically as well as numerically via Monte Carlo simulation. Moreover, the generalized stochastic model has been validated with a specific instance of bacterial disinfection. The model's analytical and numerical results are in excellent accord among themselves as well as with those obtained from our earlier models; in addition, the model's results tend to describe the available experimental data reasonably well.
Original language | English (US) |
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Pages (from-to) | 218-225 |
Number of pages | 8 |
Journal | Biochemical Engineering Journal |
Volume | 114 |
DOIs | |
State | Published - Oct 15 2016 |
Externally published | Yes |
Keywords
- Bacteria
- Disinfection
- Dynamic modelling
- Dynamic simulation
- Kinetic parameters
- Modelling
ASJC Scopus subject areas
- Biotechnology
- Bioengineering
- Environmental Engineering
- Biomedical Engineering