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How does auxin cause a stem to bend toward light?

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In the process of phototropism, auxin—specifically indolylacetic acid—regulates stem growth by stimulating cell elongation.12

When a stem is exposed to light, auxin is unevenly distributed within the plant. Greater quantities of the hormone accumulate on the shaded side of the stem compared to the side facing the light. Because auxin promotes the elongation of cells by acting on the chemical bonds of plant cell walls, the cells on the shaded side grow more rapidly than those on the illuminated side. This differential growth rate causes the stem to curve or bend toward the light source.12