Chapter 2, Problem 2.35P

Interpretation Introduction

(a)

Interpretation:

If a low or high value of specific growth rate is desired when bacteria are used in the production of a commodity chemical should be explained.

Concept introduction:

When an initial growth of bacteria cell is introduced to a nutritional medium. The cells exhibit balanced growth. This means that for a given period the population of cells double. The time required to double the population is called the doubling time. However, the doubling time depends on the factors like type of bacteria, temperature, nutritional medium etc.

Following equation is the modelled equation for this growth,

$\begin{array}{l}\frac{dC}{dt}=\mu C\\ \text{where,}\text{C=}\text{Concentration}\text{of}\text{bacteria}\text{in}\text{the}\text{culture,}\\ \text{μ}\text{=}\text{Specific}\text{growth}\text{rate,}\text{t=}\text{time}\end{array}$

Interpretation Introduction

(b)

Interpretation:

Using the given expression, a graph should be plotted with a straight line and value of growth rate and initial concentration should be determined.

Concept introduction:

When an initial growth of bacteria cell is introduced to a nutritional medium. The cells exhibit balanced growth. This means that for a given period of time the population of cells double. The time required to double the population is called the doubling time. However, the doubling time depends on the factors like type of bacteria, temperature, nutritional medium etc.

Following equation is the modelled equation for this growth,

$\begin{array}{l}\frac{dC}{dt}=\mu C\\ where,C=Concentrationofbacteriaintheculture,\\ \mu =Specificgrowthrate,t=time\end{array}$

Interpretation Introduction

(c)

Interpretation:

The specific growth rate using given data should be calculated.

Concept introduction:

When an initial growth of bacteria cell is introduced to a nutritional medium. The cells exhibit balanced growth. This means that for a given period of time the population of cells double. The time required to double the population is called the doubling time. However, the doubling time depends on the factors like type of bacteria, temperature, nutritional medium etc.

Following equation is the modelled equation for this growth,

$\begin{array}{l}\frac{dC}{dt}=\mu C\\ where,C=Concentrationofbacteriaintheculture,\\ \mu =Specificgrowthrate,t=time\end{array}$

Interpretation Introduction

(d)

Interpretation:

An expression for the doubling time of a bacterial growth should be derived and the doubling time should be calculated.

Concept introduction:

When an initial growth of bacteria cell is introduced to a nutritional medium. The cells exhibit balanced growth. This means that for a given period of time the population of cells double. The time required to double the population is called the doubling time. However, the doubling time depends on the factors like type of bacteria, temperature, nutritional medium etc.

Following equation is the modelled equation for this growth,

$\begin{array}{l}\frac{dC}{dt}=\mu C\\ where,C=Concentrationofbacteriaintheculture,\\ \mu =Specificgrowthrate,t=time\end{array}$