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Question : Describe briefly : (a) Arithmetic growth (b) Geometric growth (c) Sigmoid growth curve (d) Absolute and relative growth rates

Answer»

Solution :(a) ARITHMETIC growth : In arithmetic growth, following mitotic cell division, only one daughter cell continues to divide while the other differentiates and matures.
The simplest expression of arithmetic growth is exemplified by a root elongating at a constant rate.
(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 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 `W_(1)=W_(0)e^(rt)`
Where `W_(1) =` Final size
`W_(0) =` Initial size
r = Growth rate
t = TIME of growth
e = Base of natural logarithms

An idealised sigmoid growth curve typical of cells in culture and many higher plants and plant organs
(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 a particular system per unit time, expressed on a common basis.


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