The Importance of Simulations in Chemical and Bioprocess Engineering

In addition, the number of generations ( ) is related to time (t) and generation time (tg) as follows  

By definition, Z 2/fg = // (specific growth rate) thus the number of bacteria after time t can be expressed by an exponential equaticm as follows  

According to (9.11), bacterial ceU division obeys an exponential growth curve. As you will see in future courses, this simple mathematical model will be very useful when designing batch bioreactors and also in multiple practical applications in food science, environmental engineering, biological engineering, and biotechnology. 

As has been common throughout the book, we will illustrate the usefulness of simulation through examples. 

9 Fundamentals of Mathematical Modeling, Simulation, and Process Control 

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