Please answer question 3 Enzymes are catalysts that facilitate the biochemical reactions that occur within all living organ-isms. One of the fundamental laws of enzyme kinetics was proposed by Leonor Michaelis and MaudMenten in 1913. The law has been supported by laboratory experiments and explained throughmathematical modeling. Today Michaelis-Menten kinetics are used in many biological models.An enzyme molecule is designed to "fit" another molecule called a substrate. The substrate (S)and enzyme (E) form an intermediate complex (ES), which then dissociates to form the final end-product of the reaction (P) and the original enzyme (which can be re-used; see figure). An importantquestion concerns the rate at which product molecules are formed. Under certain assumptions,Michelis-Menten kinetics relates the rate of production of P to the amount of S present.SESPEnzyme-substratecomplexEnzyme + substrateEnzyme + product1. We let R be the rate of production of the final product P and we let s be the concentration ofthe substrate S initially present. Concentrations are measured in units such as micro-moles(µM), while R is measured in uM/s. (Time is usually measured in seconds.) The Michaelis-Menten law says thatVsR(s)K + s'where V > 0 and K > 0 are constants that are specific to each enzyme. Explain why theunits of K and V are µM and µM/s, respectively.2. Let K = 5 µM and V = 10 µM/s and use Desmos to graph R as a function of s for s > 0.Describe the increasing/decreasing behavior of your function and its concavity.1This lab is based on Guided Project 12, Enzyme Kinetics, from our textbook.3. With general positive values of V and K, compute and simplify R'(s) and use this to confirmthe increasing/decreasing behavior you observed in the graph.

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Description: Please answer question 3 Enzymes are catalysts that facilitate the biochemical reactions that occur within all living organ-isms. One of the fundamental laws of enzyme kinetics was proposed by Leonor Michaelis and MaudMenten in 1913. The law has been

we have been given the function R(s)=VsK+s where V=10μM and K=5μM

Answered: 3. With general positive values of V…

Math

Calculus

3. With general positive values of V and K, compute and simplify R'(s) and use this to confirm the increasing/decreasing behavior you observed in the graph.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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