Cell Size and Volume Plants and animals are multicellular; they contain many small cells. Molecules often enter a cell and move about the cytoplasm by diffusion, a physical process dependent on concentration gradients. Diffusion is not a highly rapid or efficient means of distributing materials over long cellular distances. The dependence of cells on this process places a constraint on their design and size. No portion of even the largest of cells is more than 1 mm from the cell membrane. Cells can be long and skinny like a nerve cell, but they can't be too short and fat. Most cells are much smaller than even 1 mm across. A cuboidal epithelial cell is just about l5µm along one side, for example. An explanation for why cells stay so small and indeed why the body of a plant or animal is multicellular can be found by considering the relationship between surface area and volume relationships. Suppose a cell was 1 mm in each dimension (height, width, depth); its surface area would be: 6 x (1 mm x 1 mm) = 6 mm 2 The volume of the cell would be: 1 mm x 1 mm x 1 mm = 1 mm3 If the linear dimensions of the cell doubled, its surface area would be 24 mm 2 and its volume would be 8 mm 3. Notice that as a result of the cell doubling in size, the volume actually octupled but the surface area only quadrupled. Nutrients enter a cell and wastes exit a cell at the cell membrane. A large cell requires more nutrients and produces more wastes than does a small cell. Therefore a large cell that is actively metabolizing cannot make do with proportionately less surface area than a small cell. Yet as discussed above and illustrated in table 1, as a cell increases in size, surface area decreases rapidly in proportion to volume. This means that as cells increase in size, the amount of surface area becomes inadequate to allow exchanges within a reasonable length of time and the cell is unable to exist. For example, consider that egg cells are among the largest known cells. A chicken's egg is several cm in di ameter, but the egg is not actively metabolizing and contains a large amount of storage material called yolk. Once the egg is fertilized and metabolic activity begins, the egg divides repeatedly. Cell division provides the surface area needed to allow adequate exchange. Similarly, in the body when cells are growing and actively metabolizing, cells must divide in order to maintain enough surface area per unit volume. Cells that specialize in absorption have modifications to greatly increase the surface area per volume of the cell. The columnar cells along the surface of the intestinal villi have microvilli to increase their surface area and so do the cells that line the kidney tubules. Modifications are necessary to increase surface area per volume and never vice versa because of the mathematical relationships noted in table 1. Table 1 Linear dimensions of cell Surface (mm2) 1 mm 6 1 6:1 2 mm 24 8 3:1 4 mm 96 64 1.5:1 Volume (mm3) Ratio