An enzyme reversibly binds a substrate. The rate constant (kcat) for catalytic conversion of enzyme- substrate complex into product and free enzyme is 1.0 s-1. The rate constant for dissociation of enzyme- substrate complex (k-1) is 9.0s^-1. 1) For each substrate binding event, what is the probability that substrate is converted into product rather than dissociated without conversion? 2) What is the probability that 20 consecutive binding events result in no product formation?

Human Anatomy & Physiology (11th Edition)
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Chapter1: The Human Body: An Orientation
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please help me understand this practice problem with as much details as possible.
An enzyme reversibly binds a substrate. The rate constant (kcat) for catalytic conversion of enzyme-
substrate
complex into product and free enzyme is 1.0 s-1. The rate constant for dissociation of enzyme-
substrate
complex (k-1) is 9.0s^-1.
1) For each substrate binding event, what is the probability that substrate is converted into product
rather than dissociated without conversion?
2) What is the probability that 20 consecutive binding events result in no product formation?
3) If you evaluated 1,000 different sets of 20 consecutive binding events, what would be the average
number of product molecules formed (per 20 binding events)?
4) What is the probability that 20 consecutive binding events result in a number of product molecules
at
least equal to this average?
Transcribed Image Text:please help me understand this practice problem with as much details as possible. An enzyme reversibly binds a substrate. The rate constant (kcat) for catalytic conversion of enzyme- substrate complex into product and free enzyme is 1.0 s-1. The rate constant for dissociation of enzyme- substrate complex (k-1) is 9.0s^-1. 1) For each substrate binding event, what is the probability that substrate is converted into product rather than dissociated without conversion? 2) What is the probability that 20 consecutive binding events result in no product formation? 3) If you evaluated 1,000 different sets of 20 consecutive binding events, what would be the average number of product molecules formed (per 20 binding events)? 4) What is the probability that 20 consecutive binding events result in a number of product molecules at least equal to this average?
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