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Which concentration profile of substrate molecules approaching the curved surface of immobilized enzymes is shown in the graph below?

(a) Enzymes attached to spherical particles

(b) Enzymes attached to the outside of the cylindrical fiber

(c) Enzyme attached to the inside of the cylindrical fiber

(d) Free enzymes

This question was addressed to me in semester exam.

I need to ask this question from Kinetics of Immobilized Enzymes in portion Immobilized Enzymes Preparation and Kinetics of Enzyme Technology

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Right option is (c) Enzyme attached to the inside of the cylindrical fiber

Best explanation: The concentration profile of flat surfaces is perfectly linear. The unusual ones are the curved surfaces such as spherical particles, the inside of cylindrical tubes or the outside of cylindrical fibers which produce non-linear concentration profiles. This is because of the substrate molecules approaching the surface through different pathways like convergent or divergent in nature. Hence the above concertation profile represents the enzyme attached to the inside of the cylindrical fiber. The black line represents r/ƍ = 9 and red dotted line represents r/ƍ = 0.11. Also, µ = 10^-3, 1 and 10^3 for the top, middle and bottom pair of curves, respectively.

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