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Question

Describe briefly:

(a) Arithmetic growth

(b) Geometric growth

(c) Sigmoid growth curve

(d) Absolute and relative growth rates

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Solution

(a) Arithmetic growth: In arithmetic growth, one of the daughter cells continues to divide, while the other differentiates into maturity. The elongation of roots at a constant rate is an example of arithmetic growth.

(b) Geometric growth: Geometric growth is characterised by a slow growth in the initial stages and a rapid growth during the later stages. The daughter cells derived from mitosis retain the ability to divide but slow down because of a limited nutrient supply.

(c) Sigmoid growth curve: The growth of living organisms in their natural environment is characterised by an S-shaped curve called the sigmoid growth curve. This curve is divided into three phases – lag phase, log phase or exponential phase of rapid growth, and stationary phase.

Exponential growth can be expressed as:

W1=W0en

Where,

W1= Final size

W0 = Initial size

r = Growth rate

t = Time of growth

e = Base of natural logarithms

(d) Absolute and relative growth rates: Absolute growth rate refers to the measurement and comparison of total growth per unit time. Relative growth rate refers to the growth of a particular system per unit time, expressed on a common basis.


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