Mixed Inhibition: Finding Ki & Ks Relation

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Discussion Overview

The discussion revolves around mixed inhibition in a thermodynamic context, specifically focusing on finding the relationship between different equilibrium constants (Ki and Ks) associated with enzyme-substrate interactions. Participants are attempting to clarify the question and explore the relevant equations and concepts.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses uncertainty about understanding the question regarding mixed inhibition and the relationship between Ki and Ks.
  • Another participant attempts to define the equilibrium constant (Ks) for the reaction between enzyme (E) and enzyme-substrate complex (ES) as Ks = [E][S]/[ES].
  • There is a question posed about whether the equilibrium constants can differ.
  • A participant suggests that the equilibrium constant between E and ES can be expressed as Ks = k-1/k1 and questions if it is equal to k'-1/k'1=Ks'.
  • Another participant responds that generally, the equilibrium constants are not equal and prompts further exploration of the scheme without the rate constants.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the understanding of the question or the relationship between the equilibrium constants, indicating that multiple competing views remain.

Contextual Notes

There are unresolved aspects regarding the definitions of the equilibrium constants and the specific conditions under which they may differ, as well as the assumptions underlying the thermodynamic cycle being discussed.

Dassinia
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Homework Statement


I have this mixed inhibition, and knowing that it is a thermodynamic cycle i am asked to find the relation between the different Ki and Ks.
https://scontent.xx.fbcdn.net/hphotos-xfp1/v/t35.0-12/12699252_1024216030972374_1605707906_o.jpg?oh=8b60ba8c953ea368fe8fc09af6fe5eaa&oe=56C77997

Homework Equations

The Attempt at a Solution


I am not even sure to understand the question...
 
Last edited:
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Dassinia said:

Homework Statement


I have this mixed inhibition, and knowing that it is a thermodynamic cycle i am asked to find the relation between the different Ki and Ks.
https://scontent.xx.fbcdn.net/hphotos-xfp1/v/t35.0-12/12699252_1024216030972374_1605707906_o.jpg?oh=8b60ba8c953ea368fe8fc09af6fe5eaa&oe=56C77997
2. Relevant equation

The Attempt at a Solution


I am not even sure to understand the question...

Look at the top line only. What is the equilibrium constant between E and ES?
Well okay since you say you don't understand the question Ks = [E][ S]/[ES] = ?

Now rub out to the arrows of the top line. Leave the others. What is the above-defined equilibrium constant equal to?

Can these equilibrium constants be different?
 
epenguin said:


Look at the top line only. What is the equilibrium constant between E and ES?
Well okay since you say you don't understand the question Ks = [E][ S]/[ES] = ?

Now rub out to the arrows of the top line. Leave the others. What is the above-defined equilibrium constant equal to?

Can these equilibrium constants be different?
Between E and ES Ks=k-1/k1 Is it equal to k'-1/k'1=Ks' ?
 
Dassinia said:
Between E and ES Ks=k-1/k1 Is it equal to k'-1/k'1=Ks' ?

In general no.

Rub out to the arrows of the top line. Leave the others. In fact just write out the scheme again without the k1, k-1 steps. Can't you work out what that gives you for [E][ S]/[ES] ?
 

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