From this task you should appreciate that the growth rates of
certain organisms over variable time scales can be strikingly
different!
The blue curve represents a situation of exponential growth. For
example the multiplication of a bacterium such as E. Coli over time would follow
such a trend provided that adequate nutrition is available over the
timescale of the experiment. The trend could be represented by the
form 2$^{\frac {t}{T}}$, where t is time and T is the period of
division. Bacterial division does not occur entirely in synchrony
and so a smooth curve is produced, rather than the stepped graph
that would be observed during synchronised division.
The red curve is seen to represent the seasonal pattern of plant
growth which is rapid during the spring and relatively stagnant
during autumn and winter. It is also seen that year upon year, the
rate of growth in the fast growth period (seen as 'steps')
increases. What do you think would happen to
the shape of the growth curve of an oak tree once it has reached
maturity?
The brown curve depicts the growth of a crustaceans or arthropods.
There are many examples of organisms that fit this curve. A few are
tarantulas, lobsters and crabs. Crustaceans have a cuticle that is
often biomineralised with substances such as calcium carbonate to
produce a rigid exoskeleton. However this inhibits growth; the
exoskeleton must be shed through a process known as moulting.
Intake of water facilitates the rapid expansion of the softer new
cuticle before it hardens after the old cuticle is detached. This
process is depicted by the vertical 'step' portions within the
growth curve. Internal tissue growth occurs constantly. Why might the moulting period be
a dangerous time for an organism such as a shore crab?
The black curve represents classical mammalian growth. The initial
portion of the curve depicts the rapid growth of a new-born infant.
This growth rate falls and then progressively
increases during adolescence. Eventually a stage of
maturity is reached where mitotic processes operate on the whole to
replenish cells within the individual.
As an extension, look up the profile of a biphasic bacterial growth
curve and understand the conditions that produced such a curve.
Wikipedia is a useful place to start. Two clear phases of growth
are seen due to:
1) The depletion of glucose from the nutrient medium
2) Transcription of $\beta$-galactosidase and associated enzymes to
allow lactose metabolism
Is there any similarity to some
of the curves given to you in the question?