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How does the cell wall allow the cell to vary in shape?

Answer
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Hint: The cell wall may be a biological membrane that separates the inside of all cells from the surface environment which protects the cell from its environment. The cell wall consists of a lipid bilayer, including cholesterols that sit between phospholipids to take care of their fluidity at various temperatures.

Complete answer:
Cells can change form through the motion of molecular motor proteins along such filamentous structures that are changing in shape as a result of dynamic polymerization. Coordinated shape changes are often a way of moving a cell across a surface and are crucial to cellular division . The motor proteins also are liable for the transport of organelles and other structures within eukaryotic cells.

The cell wall is quite fluid but also slightly rigid. This enables the cell to vary shape but it cannot change form considerably .This membrane is called the fluid mosaic model because it may be a mixture of phospholipids, cholesterol, proteins and carbohydrates.

Most of the membrane consists of phospholipid molecules. These allow the membrane to be rather fluid.Embedded during this membrane are proteins which give some structure to the membrane. The 3rd component is proteins or glycolipids.

The membrane can seal itself if pierced by something very thin sort of a pin. But it'll burst if it takes in an excessive amount of water. The proteins kind of float on the surface of the membrane like islands within the sea.

Cholesterol is additionally found within the membrane. It prevents lower temperatures from inhibiting the fluidity of the membrane and prevents higher temperatures from increasing fluidity.

Note: The carbohydrates that are in plasma membranes are bound either to proteins or to the lipids. They form sites on the surface that allow the cells to acknowledge one another .
This is important because it all dolls the system to work out whether a cell is foreign (non-self) or are body cells (self).