All
organisms need to exchange substances such as food, waste, gases and heat with
their surroundings. These substances must diffuse between the organism
and the surroundings. The rate at which a substance can diffuse is given by Fick's
law:
|
Rate
of Diffusion a |
surface
area x concentration
difference |
|
distance |
The
rate of exchange of substances therefore depends on the organism's surface
area that is in contact with the surroundings. The requirements for materials
depends on the volume of the organism, so the ability to meet the requirements
depends on the surface area : volume ratio. As organisms get bigger
their volume and surface area both get bigger, but volume increases much more
than surface area.. This can be seen with some simple calculations for
different-sized organisms. In these calculations each organism is assumed to
be cube-shaped to make the calculations easier. The surface area of a cube
with length of side L is LxL X6 (6L²), while the volume is L³.
| Organism |
Length |
SA
(m²) |
vol
(m³) |
SA/vol
(m-1) |
| bacterium |
1
mm |
6 x 10-12 |
10-18 |
6,000,000 |
| amoeba |
100 mm |
6 x 10-8 |
10-12 |
60,000 |
| fly |
10 mm |
6 x 10-4 |
10-6 |
600 |
| dog |
1 m |
6 x 100 |
100 |
6 |
| whale |
100 m |
6 x 104 |
106 |
0.06 |
So
as organisms get bigger their surface area/volume ratio gets smaller. A
bacterium is all surface with not much inside, while a whale is all insides
with not much surface. This means that as organisms become bigger it becomes
more difficult for them to exchange materials with their surroundings. In fact
this problem sets a limit on the maximum size for a single cell of about 100 mm.
In anything larger than this materials simply cannot diffuse fast enough to
support the reactions needed for life. Very large cells like birds' eggs are
mostly inert food storage with a thin layer of living cytoplasm round the
outside.
Organisms
also need to exchange heat with their surroundings, and here large animals
have an advantage in having a small surface area/volume ratio: they lose less
heat than small animals. Large mammals keep warm quite easily and don't need
much insulation or heat generation. Small mammals and birds lose their heat
very readily, so need a high metabolic rate in order to keep generating heat,
as well as thick insulation. So large mammals can feed once every few days
while small mammals must feed continuously. Human babies also loose heat more
quickly than adults, which is why they need woolly hats.
So
how do organisms larger than 100 mm exists? All organisms larger than 100 mm
are multicellular, which means that their bodies are composed of many
small cells, rather than one big cell. Each cell in a multicellular organism
is no bigger than about 30mm, and so can exchange materials quickly and
independently. Humans have about 1014 cells.
Multicellular organisms have another difference from unicellular ones: their cells are specialised, or differentiated to perform different functions. So the cells in a leaf are different from those in a root or stem, and the cells in a brain are different from those in skin or muscle. In a unicellular organism (like bacteria or yeast) all the cells are alike, and each performs all the functions of the organism.
|
Cell
differentiation leads to higher levels of organisation:
|
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A multicellular organism like a human starts off life as a single cell (the zygote), but after a number of cell divisions cells change and develop in different ways, eventually becoming different tissues. This process of differentiation is one of the most fascinating and least-understood areas of modern biology. For some organisms differentiation is reversible, so for example we can take a leaf cell and grow it into a complete plant with roots, stem, leaf and vascular tissue. However for humans and other mammals differentiation appears to be irreversible, so we cannot grow new humans from a few cells, or even grow a new arm.
[Back to Microscopy and Cells]
Last updated 18/06/2004