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27 Nov 2019
A cell is adhered to a surface, assuming the shape of a short,fat cylinder or disc. In this condition, it is getting 100% of itsrequirements of some nutrient by diffusion across its membrane.After being released from the surface, it assumes a new shape -that of a sphere. The change in shape does not change the cell'svolume or its requirements of this nutrient. Assuming that thepermeability of the membrane also remains constant, what fractionof the cell's requirement of this nutrient are being met bydiffusion after being released from the surface? Let the radius ofthe spherical cell be 50μm, the height of the cylindrical cell be10μm, and assume that diffusion occurs across all surfaces of thecell.
A cell is adhered to a surface, assuming the shape of a short,fat cylinder or disc. In this condition, it is getting 100% of itsrequirements of some nutrient by diffusion across its membrane.After being released from the surface, it assumes a new shape -that of a sphere. The change in shape does not change the cell'svolume or its requirements of this nutrient. Assuming that thepermeability of the membrane also remains constant, what fractionof the cell's requirement of this nutrient are being met bydiffusion after being released from the surface? Let the radius ofthe spherical cell be 50μm, the height of the cylindrical cell be10μm, and assume that diffusion occurs across all surfaces of thecell.
