(DEC 2013) 22. Michaelis-Menten enzyme kinetics for a simple reaction involving an enzyme (E) and substrate (S) is given by the scheme: Description of Km, kcat and their relationship is provided in the following statements. A. Km represents association constant of the ES complex. B. Km represents the dissociation constant of the ES complex. C. kcat is the rate constant for the chemical conversion of the ES complex to substrate bound enzyme and product. D. kcat/Km is a rate constant that refers to the properties and reactions of the free enzyme and free substrate. Which of the combinations of above statements is true? (1) A and C (2) B and D (3) A and D (4) B and C

The correct answer is (2) B and D.


Introduction

Michaelis-Menten kinetics is essential for understanding how enzymes catalyze biochemical reactions. Two critical parameters—Km (Michaelis constant) and kcat (turnover number)—describe how efficiently an enzyme converts substrate to product. These parameters have specific interpretations derived from kinetic models and are crucial for enzyme characterization in biochemistry, molecular biology, and biotechnology.


Statement Analysis

Statement A: Km represents association constant of ES complex.

  • Incorrect.

  • Km does not denote the association constant of the enzyme-substrate (ES) complex.

  • Instead, it’s related to enzyme-substrate affinity, but technically reflects the dissociation tendency.

Statement B: Km represents the dissociation constant of ES complex.

  • Correct.

  • Km is interpreted as the dissociation constant, representing how readily the ES complex dissociates into enzyme and substrate.

  • A low Km means high affinity (less likely to dissociate), while a high Km means low affinity.

Statement C: kcat is the rate constant for the chemical conversion of ES complex to substrate bound enzyme and product.

  • Incorrect.

  • kcat is the turnover number, the rate constant that represents conversion of the ES complex to free enzyme and product, not substrate bound enzyme and product.

  • It quantifies the number of substrate molecules converted per enzyme molecule per second at saturation.

Statement D: kcat/Km is a rate constant that refers to the properties and reactions of the free enzyme and free substrate.

  • Correct.

  • kcat/Km measures enzyme efficiency, representing the second-order rate constant for the reaction between free enzyme and free substrate.

  • This ratio describes catalytic perfection and specificity, as it incorporates both binding and chemical conversion.


Michaelis-Menten Parameters Explained

Km (Michaelis Constant)

Km=k−1+kcatk1

  • Reflects the substrate concentration at which half-maximal enzyme velocity is achieved.

  • Indicates ES complex stability—essentially the dissociation constant.

kcat (Turnover Number)

kcat=maximal number of substrate molecules converted into product per enzyme per second

  • Represents the rate-limiting step of catalysis for the ES complex, leading to free enzyme and product.

kcat/Km (Catalytic Efficiency)

  • Useful for comparing enzymes, especially when substrate concentrations are low.

  • A higher value means a more efficient enzyme, approaching “catalytic perfection” if diffusion limits the reaction rate.


Application in Enzyme Engineering and Research

  • Understanding Km and kcat is vital in clinical diagnosis, drug design, and metabolic studies.

  • Manipulating these values can help design more efficient biocatalysts, develop enzyme inhibitors, and predict enzyme behavior in various cellular conditions.

  • Evaluating enzymatic efficiency by kcat/Km helps identify optimal conditions for industrial and therapeutic applications.


Summary Table

Statement True/False Explanation
A. Association const False Km is not association, but dissociation constant
B. Dissociation const True Km reflects ease of ES complex breakdown
C. Conversion to bound enzyme False kcat is for conversion to free enzyme and product
D. kcat/Km: efficiency True Describes catalytic efficiency, free enzyme & substrate

Conclusion

B and D are correct:

  • Km represents the dissociation constant of the ES complex.

  • kcat/Km is the rate constant for reactions involving free enzyme and free substrate, defining enzyme specificity and catalytic efficiency.

Understanding these definitions is fundamental for interpreting enzyme kinetics and optimizing reactions for research, clinical, and industrial settings

41 Comments
  • HIMANI FAUJDAR
    September 12, 2025

    Ans B and D because km reflects the dissociation of ES complex and kcat/km efficiency describes catalytic efficiency free enzyme and substrate.

  • Sakshi yadav
    September 12, 2025

    Km represent dissociation constant of the ES complex and km/ cat refers the reaction of free enzyme and substrate

  • Aakansha sharma Sharma
    September 12, 2025

    Ans B and D because km reflects the dissociation of ES complex and kcat/km efficiency describes catalytic efficiency free enzyme and substrate.

    Reply

  • Priya dhakad
    September 12, 2025

    Option Band d ,Km represents the dissociation constant and kcat/Km is the rate constant for reactions involving free enzyme and free substrate.

  • Varsha Tatla
    September 12, 2025

    Option B, is correct 💯 D

  • Varsha Tatla
    September 12, 2025

    Option B,D correct 💯

  • Mohd juber Ali
    September 13, 2025

    Statement B abd D is right

  • Dharmpal Swami
    September 13, 2025

    Km =show dissociation of ES complex
    And option d are write statement

  • Mansukh Kapoor
    September 13, 2025

    The correct answer is option 2nd
    B and D

  • Kanica Sunwalka
    September 13, 2025

    * km represents dissociation constant of ES complex
    *kcat / km describes catalytic efficiency free enzyme and free substrate
    option 2 is correct

  • Kirti Agarwal
    September 13, 2025

    Statement B and D

  • Bhawna Choudhary
    September 13, 2025

    B and D is the correct option

  • Santosh Saini
    September 13, 2025

    KM=dissociation constant of the ES complex , Kcat/km is the rate constant for reaction involving free enzyme and free substrate

  • Sakshi Kanwar
    September 13, 2025

    Km represents dissociation constant that the ES complex dissociates into enzyme and substrate.
    Where as kcat/Km measures enzyme efficiency, the reaction between free enzyme and free substrate.
    B and D statements are true

  • Soniya Shekhawat
    September 14, 2025

    Kcat and km is rate constant that properties and reaction of free enzyme and free substrate and km is dissociation constant for ES complex so option b and d is right

  • Aafreen Khan
    September 14, 2025

    B and D statements are correct
    Km = dissociation constants of ES complex
    Kcat/Km= rate constant for reaction of free enzyme and free substrate

  • Pooja
    September 14, 2025

    B and D statement is correct

  • Ayush Dubey
    September 14, 2025

    B and D.

  • Tanvi Panwar
    September 14, 2025

    Km represents dissociation constant and Kcat/Km represents the catalytic efficiency and properties and reactions of free enzymes and substrates.

  • Payal Gaur
    September 14, 2025

    Option B and D

  • Khushi Agarwal
    September 14, 2025

    The correct answer is 2
    B and D

  • Kajal
    September 14, 2025

    Option 2 and statement B and D are correct

  • Anurag Giri
    September 14, 2025

    Km represents dissociation constant that the ES complex dissociates into enzyme and substrate.
    Where as kcat/Km measures enzyme efficiency, the reaction between free enzyme and free substrate.
    B and D statements are true

  • Neha Yadav
    September 14, 2025

    Km represent the dissociation constant of the ES complex
    Kcat/km measure the catalytic efficiency the reaction b/w free enzyme and free substrate
    So, option B and D are correct

  • Mitali saini
    September 14, 2025

    Ans B and D because km reflects the dissociation of ES complex and kcat/km efficiency describes catalytic efficiency free enzyme and substrate.

  • Avni
    September 14, 2025

    the Correct answer is (2) B and D

  • Pallavi Ghangas
    September 14, 2025

    Band d

  • Heena Mahlawat
    September 14, 2025

    Km is dissociation constant and kcat- rate constant and shows properties and reaction of free enzyme and free substrate

  • Deepika sheoran
    September 15, 2025

    Option B&D

  • Asha Gurzzar
    September 15, 2025

    Option b and d are correct

  • Simran Saini
    September 15, 2025

    Option b and d is right.

  • Khushi Vaishnav
    September 15, 2025

    B and D are the correct option

  • Arushi Saini
    September 15, 2025

    Option 2 is correct
    Km represent dissociation constant of the ES complex and km/ cat refers the reaction of free enzyme and substrate

  • Anjana sharma
    September 16, 2025

    Correct.

    Km is interpreted as the dissociation constant, representing how readily the ES complex dissociates into enzyme and substrate.

  • Sonal nagar
    September 16, 2025

    Option 2
    (B and D).

  • Minal Sethi
    September 16, 2025

    B and D
    Km represents the dissociation constant of the ES complex and kcat/km is the enzyme efficiency which is the property of free enzyme and substrate

  • Deepika sheoran
    September 16, 2025

    Option b &d is correct

  • Palak Sharma
    September 16, 2025

    B and D are correct:

    Km represents the dissociation constant of the ES complex.

    kcat/Km is the rate constant for reactions involving free enzyme and free substrate, defining enzyme specificity and catalytic efficiency.

  • Muskan Yadav
    September 17, 2025

    B and D are correct because
    Km represents the dissociation constant of the ES complex.
    kcat/Km is the rate constant for reactions involving free enzyme and free substrate, defining enzyme specificity and catalytic efficiency.

  • Yogita
    September 17, 2025

    B & D is correct answer

  • Khushi Singh
    September 25, 2025

    B and D is correct

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