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One way to increase the speed of material movement through a cell membrane without taking up more space would be to incorporate more channels or transport proteins. These proteins can facilitate the movement of specific molecules across the membrane more efficiently. Another approach could be to increase the fluidity of the membrane by incorporating more unsaturated fatty acids, which would make it easier for molecules to move through the membrane. Lastly, increasing the surface area of the membrane through invaginations or microvilli could also enhance material transport.

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