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Enzyme Inhibition
                           By
                  Prof. V.K. Gupta
                Department of Biochemistry
           Kurukshetra University, Kurukshetra




email: vkgupta59@rediffmail.com
Enzyme
          Inhibitor
 An Enzyme inhibitor is a compound that decreases or
 tends to decrease the rate of an enzyme catalyzed
 reaction by influencing the binding of S and /or its
 turnover number.
Type of
Inhibitors
                 Type of Enzyme Inhibitors

                                 Reversible




                  Irreversible
                                                Competitive



Active Site                                    Uncompetitive
 Directed


Suicide / kcat
                                              Non- Competitive
 Inhibitors
Reversible Inhibition

    Inhibitor binds to Enzyme reversibly through weak non-covelent
interactions
 An Equilibrium is established between the free inhibitor & EI Complex
and is defined by an equilibrium constant (Ki)


                    E   +   I           E I


 The activity of Enzyme Is fully restored on removing the Inhibitor by
dialysis.
Reversible Inhibitors depending on concentration of E, S and I, show a
definite degree of inhibition which is reached fairly rapidly and remains
constant when initial velocity studies are carried out.
Irreversible Inhibition

   Inhibitor binds at or near the active site of the enzyme irreversibly, usually
    by covalent bonds, so it can’t dissociate from the enzyme

   No equilibrium exits

                  E   +    I              E I



   Enzyme activity is not regained on dialysis

   Effectiveness of I is expressed not by equilibrium constant but by a
    velocity constant, which determines the fraction of the enzyme inhibited in
    a given period of time by a certain concentration of the I
Competitive Inhibition

    A competitive I combines with the free enzyme to form an EI
    complex in a manner that prevents S binding

   Binding of S & I is mutually exclusive

   Inhibition can be reversed by increasing the concentration of S at a
    constant [I]

   Degree of inhibition will depend on the concentrations of S & I and
    on the relative affinities of the enzyme for S & I
Binding of S & I in different Situations
1.   Classical Competitive Inhibition (S & I compete for the
     same binding site)


                     S     I




                      Enzyme
2. S & I are mutually    3. S & I have a    common
  exclusive because of      binding group    on the
  steric hindrance          enzyme.



              S            I            S
      I


     Enzyme                    Enzyme
4. The binding sites for S & I are distinct but
  overlapping.



                I
                      S


                    Enzyme
5. Binding of I to a distinct inhibitor site causes a
   conformational change in the enzyme that distorts
   or masks the S binding site or vice versa.

                        I       S



                       Enzyme



                  S                      I
           I                                     S

         Enzyme                         Enzyme
Examples for Competitive Inhibition
                 CO O-

                 CH2              SDH     HC COO-
                         + FAD                       +      F AD H
                                                                 2
                                        -OO CCH
i)               CH2

                 CO O-

              S uc c i na t e            F um a ra t e

          Malonate is a competitive inhibitor of SDH.

ii)   Cometitive inhibition accounts for the antibacterial action of sulfanilamide
      which is a structural analog of PABA
                                                                      O

          H2 N                  COOH         H 2N                     S      NH2

                                                                      O
                   PABA
                                                         S ul fan i l a mi d e


      Sulfanilamide inhibits the bacterial enzyme dihydropteroate synthetase
      which catalyzes the incorporation of PABA into 7,8-dihydropteroic acid.
Derivation of velocity equation
           k1             k2
 E+S                 ES          E+P
 +         k-1
                                                      [E] [I]
 I                                               Ki = [EI]

Ki
                                                       [E] [I]
                                              or [EI] = Ki
 EI + S     X         No Reaction

In the steady state assumption

     [E] [S]          k-1 + k2
                 =               =   Km
      [ES]                k1

                 [E] [S]
           [ES] = Km


v=k2[ES]       ⇒ Vmax = k2 [E]T           ⇒    Now [E]T = [E] + [ES] + [EI]
Vmax = k2 ( [E] + [ES] + [EI] )

v                     k2 [ES]                       [ES]
       =                                  =
Vmax        k2 ( [E] + [ES] + [EI] )          [E] + [ES] + [EI]

 Putting the value of [ES] and [EI}


                      [E] [S]
  v                    Km
  Vmax =
            [E]       [E] [S]   [E] [I]
                  +           +
                        Km        Ki

                       [S]
  v                    Km
       =
  Vmax                   [S]   [I]
               1 +       Km  + K
                                   i
Multiplying by km both in the numerator and the
                 denominator
                      [S]
     v
          =
     Vmax                 [I] Km
               Km + [S] +
                          Ki




                      [S]
     v
          =
     Vmax               [I]
                 Km (1+     )+ [S]
                             +
                        Ki )
In the presence of a competitive inhibitor Km increases
                          Vmax unchanged

 v            [S]
      =
 Vmax     Kmapp + [S]

                     [I]
Where Kmapp = Km (1+
                     Ki )

                          Vmax


                            v
                                                    No inhibitor
                        ½ Vmax
                                             + C Inhibitor




                                 Km Kmapp     [s]
[I]
Lineweaver Burk plot   1           Km ( 1+ Ki ) 1 1
                                =
                       v          Vmax         [S] + Vmax




                               [I] )   [I]2
                              + i
                            (1 K
                         Km x          [I]1
                     e = Vma
               Sl op




   1
  Km


        1
       Kmapp
Calculation of Ki
 From slope of the double reciprocal plot in the presence of a C.
Inhibitor which is egual to

                  Km (1+ [I] )
          Slope =        Ki
                  Vmax




 From Kmapp which is given by



                               [I]
                Kmapp = Km (1+
                               Ki )
 A graphical method is preferred to direct substitution of
numbers to allow errors in individual determination to be
                     averaged out


  From the replot of slope vs. [I]
                                                  Km         Km
                                       Slope =           +            [I]
                                                  Vmax       VmaxKi




                Kmapp
        Slope =
                Vmax
                                                  Km
                                        Slope =
                                                  Vmax Ki

                                Km
      - Ki
                                Vmax

                                       [I]
 From replot of Kmapp Vs. [I]


                                      Km + Km [I]
                            Kmapp =
                                           Ki




               Kmapp
                                                Km
                                      Slope =
                                                Ki


     - Ki                 Km


                                  [I]
 From Dixon’s plot                            Km     [I]   1 (1+          Km )
                                     1      =             +                [S]
                                     v        Vmax[S] Ki Vmax




                                                     IInc
                                                       nc
                                                         re
                                                          rea
                                                            as
                                         [S]1




                                                              siin
                                                                 ngg[
                                                                    [SS]
                                                                       ]
                 1
                                     Km              Ki
                 v
                                                x
                                                  [S] [S]
                                   e = Vm
                                         a
 1       Km                      p
                                                           2
     (1+     )               Slo
Vmax     [S]




                      1                             [S] = ∞
                      Vmax     Slope = 0

                               [I]
               [S]
      - Ki (1+ Km )
Non-competitive Inhibition

    An inhibitor that binds to an enzyme to form a dead end complex,
    whether or not the active site is occupied by a substrate is termed as a
    NC Inhibitor
   Can bind either to E or ES complex
   Since I doesn't bear structural resemblance to the S, it must bind to the
    enzyme at a site distinct from the S binding site
   The presence of I does not affect S bonding but does interfere with the
    catalytic functioning of the enzyme
   The binding of I often deforms the E so that it doesn’t form ES complex
    at a normal rate and once formed, ES complex doesn’t decompose at
    normal rate to yield products
 A NC I doesn’t affect the Km because the binding of I does not
block S binding or vice-versa
 I effectively lowers the concentration of active enzyme and
hence decreases the apparent Vmax
 since there is no competition between S & I, the inhibition is not
reversed by increasing the [S]

                                                             S

        Enzyme                                      Enzyme




                                                             S
          I                                           I
         Enzyme                                     Enzyme
Examples for Non- Competitive
                Inhibition


1.   Enzymes requiring divalent metal ions (e.g. Mg2+ & Ca2+ etc) for their
     activity are inhibited non-competitively by chelating agents like EDTA
     which removes metal ions from the enzyme

2.   Enzymes with -SH groups that participate in the maintenance of the three
     dimensional conformation of the molecule are non-competitively inhibited
     by heavy metal ions.



         E      SH + Hg2+                   E     S    Hg+ + H+
k2
         E+S                   ES             E+P            [E] [S]   [EI] [S]
                     Ks                                 Ks = [ES]    =
         +                     +                                        [ES]
         I                     I
                                                        Replacing Ks with Km
                          Ki
      Ki                                                   [ES] =
                                                                    [E] [S]
                                                                      Km
       EI + S              ESI                                      `
                      Ks



       Vmax

       Vmax i
v                                      No inhibitor
    ½ Vmax
                                + NC Inhibitor
    ½ Vmax i
                                    Vmax = Decreases.
                                    Km = Unchanged


                Km                  [s]→
 Lineweaver – Burk Plot


    1            Km    1 + 1
           =
    v           Vmaxi [S]  Vmaxi

                                                                      [I]2




                                                         m
                                                   K

                                                                  i
                                                               ax
                                                              m
                                                         V
                                                    e=
                                                                         [I]1




                                                  op
                                         1/v




                                               Sl
                                  1                                                 No Inhibitor
Both slope &       Intercept =
   Intercept                     Vmaxi
Increased By
  the factor                                                                        Km
                                                                       Slope =
   (1+[ I ] )                                                                       Vmax
                     1
       Ki
                     Km                                                         1
                                                             Intercept =
                                                                             Vmax
                                                              1/[s]→
Calculation of Ki
i) From the slope of the reciprocal plot
ii) from the intercept of the reciprocal
    plot                                              Km     Km [I]
                                               Slope =   +
iii) from replot of slope of the reciprocal           Vmax Vmax Ki
     plot vs [ I ]



                   Slope
                                                  In partial NC inhibition
                                                   this plot is hyperbolic


                                Km
        - Ki
                                Vmax

                                       [I]
iv. Replot of intercept of the primary plot in the presence
                    of a NC I vs [I] is linear



                                             1            1     [I]
                                Intercept =    +
                                           Vmax Vmax Ki



             Intercept
                                                 In partial NC inhibition
                                                  this plot is hyperbolic


                            1
      - Ki
                          Vmax

                                 [I]
v. Dixon’s Plot

A plot of 1/v vs [I] will be linear at
fixed [E] and [S] for NC inhibition




                                          [S]1

                                               [S]2
                    1/v                                      Km             1    1
                                               Slope =   ( Vmax [S] +   Vmax
                                                                             )   Ki


                                                   Km             1
        - Ki
                                               (
                                Intercept = Vmax [S] + Vmax             )
                                         [I]
Uncompetitive Inhibition
 I doesn't bind to the free E rather it binds to the ES complex
 the binding of an UC I is presumed to cause structural distortion
of the active site making the enzyme catalytically inactive
 the binding of S could cause a conformational change in the E
thereby revealing an I binding site
 Inhibition can’t be reversed by increasing the [S] since I doesn't
compete with S for the same binding site

                                                      S
      Enzyme
                                             Enzyme


                                  S
                          I
                         Enzyme
 UC Inhibition is rare in single-substrate reactions.
 for e.g. Inhibition of intestinal alkaline phosphatase by L-
phenylalanine. It is common in multisubstrate reactions

         E+S                   ES                  E+P
                                 +
                                 I
                                                       [E] [S]
                                                [ES] = Km

                                                         [E] [S] [I]
                               ESI             [ESI] =
                                                          Km Ki
 The equilibria show that at any [I] an infinitely high [S] will not
drive all the enzyme to ES form; some non productive ESI complex
will always be present. Consequently an UC I will decrease the V max


 An UC I will also decrease the Kmapp because the reaction

   ES + I       ESI removes some ES causing the reaction
   E+S          ES to proceed to the right
v                               [s]
                                             =
                           Vmax                      Km                   [s]
                                   [I]                   [I]
                                                                     +
                         (1+             )         (1+         )
                                   Ki                    Ki



                                                 The equation can also be written as

        Vmax
                                                               v                  [s]
                                                                         =
                                                         Vmaxi               Kmapp +[s]
       Vmax i
v   ½ Vmax                 No inhibitor                                                  Vmax
                        + UC Inhibitor                     Where Vmaxi =                          [I]
    ½ Vmax i                                                                            (1+             )
                                                                                                  Ki
                        Vmax = Decreases
                        Km = Decreases
                                                                                    Km
                                                                         Kmapp=
                                                                                        [I]
                   Km   [s]→                                                      (1+         )
           Kmapp                                                                        Ki
Lineweaver Burk plot

                                                                                 [I]
                                   1        Km      1             1        (1+         )
                                       =                   +                     Ki
                                   v       Vmax [S]             Vmax

Slope remains
Unchanged &
   Intercept




                                                               Inc
 Increases By




                                                                  re
                                                                    as
   the factor




                                                                      in
   (1+[ I ] )                                    [I]2




                                                                      g[
                                                        [I]1




                                                                       I]
       Ki                    1/v
                                                               No I
                      1/Vmaxi
                                                                           Incase of UC Inhibition Ki
                                                  Km                       is that concn of I which
                                       Slope =                             halves the value of both
                                                 Vmax                      Vmax and Km
                                       1/Vmax
                                           1/[s]→

                -1/Kmapp   -1/Km
Calculation of Ki

i)    From the slope of the reciprocal plot                                     [I]
                                                          1          1    (1+         )
ii)   From the Km app                                          =                Ki
                                                       Vmaxi       Vmax
iii) From replot of 1/Vmaxi vs [ I ]

                                                          1          1                1   [I]
                                                               =           +
                                                       Vmaxi       Vmax        VmaxKi



                  1/Vmaxi

                                                   1
                                       Slope =
                                                 VmaxKi
                                  1
           - Ki
                                Vmax

                                         [I]
iv. From replot of 1/Km appvs [I]



                             [I]
       1           1   (1+         )
              =              Ki
     Km app       Km



      1            1         1         [I]
              =        +
    Kmapp         Km       KmKi
                                             1/Kmapp

                                                                       1
                                                            Slope =
                                                                      KmKi
                                                       1
                                   - Ki
                                                       Km

                                                              [I]
The equation for Dixon’s plot is
iv. Dixon’s Plot
                                                                                              Km
                                                1          Km          [I]          1   (1+         )
                                                    =                        +                [S]
                                                v        Vmax Ki                 Vmax




                                                                       In c
                                                    1   i
                                                      xK




                                                                           rea
                                                  = ma




                                                                              sin
                                    1/v     o   pe V
                                          Sl




                                                                              g[
        1           Km
              (1+         )




                                                                                 S]
      Vmaxi         [S]
                                                                   ∞
                                                              ]=
                                                         [S



                                                1/Vmax
                                                    [I]→
                          Km        -Ki
              -Ki (1+           )
                          [S]
Irreversible Inhibition
    An irreversible Inhibitor binds at or near the active site of the
 enzyme irreversibly, usually by covalent bonds, so that it can’t
 subsequently dissociate from the enzyme



   The I destroys as essential functional group on the enzyme that
 participates in normal S binding or catalytic action. As a result the
 enzyme is rendered permanently inactive



    Compounds which irreversibly denature the enzyme protein or
 cause non-specific inactivation of the active site are not usually
 regarded as irreversible inhibitors.
Examples:

Organophosphorus compounds (such as DFP) irreversibly react with the
–OH group of essential serine residue of some enzymes

DFP (Diisopropylphosphofluoridate) is a nerve poison since it inactivates
acetylcholinesterase that plays an important role in the transmission of
nerve impulses.

                      OCH(CH3)2                         OCH(CH3)2

E      CH2-OH + F—P=O                 E      CH2-O- F—P=O      + HF

                      OCH(CH3)2                         OCH(CH3)2

                    DFP                              Catalytically inactive
                                                           enzyme
To distinguish between irreversible & NC Inhibition

                                              t or
                                         ib i
                                     In h



                                       r
                                     to



                                 t or
                                  bi
                               no


                               hi



                             i bi
                            In
                         o l)




                        In h




Vmax
                         C
                     nt r

                        N
                      +




                   ble
                (Co




               rsi
            ve
       Ir re




                      [E]i

                       [E]T→
Types of Irreversible Inhibitors

                     Irreversible inhibitors




      Active site directed             Suicide Inhibitors
    irreversible Inhibitors       (Mechanism-based Inhibitors)
              or                                or
       (Affinity labels)                 (kcat Inhibitors)
Affinity labels
 An affinity label is a chemically reactive compound that
 is designed to resemble the substrate of an enzyme so
 that it binds at the active site and forms a stable
 covalent bond with a susceptible group of the nearby
 residue in the enzyme protein.



 Affinity labels are very useful for identifying catalytically
 important residues
Examples:
TPCK acts as an affinity label for Chymotrypsin; even at very low concn
TPCK quantitatively inactivates chymotrypsin; TPCK is identical in
structure to a substrate of this enzyme i.e. tosyl-L-phenylalanyl methyl
ester, except that the carboxylic ester is replaced by the chloromethyl
group.

                                                               O   OCH3
                        O   CH2Cl
                                                           O
                    O
                                                       S
                S                                              N
                        N                          O           H
            O           H




             TPCK                         tosyl-L-phenylalanine methyl ester

         (Affinity label)                                  (Substrate)
CH2 His 57

                            N H
                      N
CH3
                  O   CH2 Cl
                 O                       TPCK is attacked in a nucleophilic reaction by the
             S                           N atom of the imidazole side chain of His57. the
                 N                       binding of TPCK to the Enz Brings the reactive –Cl
         O       H                       group in close proximity to the His57 residue and
                                         facilitates  the formation of a covelent bond
                                         between the I & imidazole side chain



                                                                         CH2 His 57
                          Cl-   +   H+
HO
                                    CH3                                   N H
                                                         O   CH2   N
  O                                                     O
                                                    S
   phenylpropionate                                     N
                                                O       H          Alkylated derivative of
Excess concn of this                                                       His 57
prevent the inactivation
by TPCK                                                                (inactive Enzyme)
Suicide Inhibitors
A suicide inhibitor is a relatively inert molecule that is transformed by an
enzyme at its active site into a reactive compound that irreversibly
inactivates the enzyme


They are substrate analogs designed so that via normal catalytic action of
the enzyme, a very reactive group is generated.


The latter forms a covalent bond with a nearby functional group within the
active site of the enzyme causing irreversible inhibition.


Such inhibitors are called suicide inhibitors because the enzyme appears
to commit suicide.


e.g. FdUMP is a suicide inhibitor of thymidylate synthase.
During thymidylate synthesis, N5,N10- methyleneTHF is
converted to 7,8-dihydrofolate; methyleneTHF is regenerated
in two steps
Conversion of dUMP to dTMP and its inhibition by FdUMP
Importance of Enzyme
            Inhibition
 For understanding the regulation of enzyme activity within the
living cells
 To elucidate the kinetic mechanism of an enzyme catalyzing a
multisubstrate reaction
 Useful in elucidating the cellular metabolic pathways by causing
accumulation of intermediates
 Indentifiction of the catalytic groups at the active site
 Provide information about substrate specificity of the enzyme
 Form the basis of drug designing. The whole area of selective
toxicity , including the use of antibiotic, toxin, insecticides etc is
based on the exploitation of species differences in the
susceptibility to enzyme inhibitors.

 Competitive inhibitors are useful in x-rays crystallographic
studies to pin point the active site in crystal structure and thus
revealing how the surrounding amino acid residues interact with
the bound molecule.

 To treat methanol poisoning
Enzyme inhibitions

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Enzyme inhibitions

  • 1. Enzyme Inhibition By Prof. V.K. Gupta Department of Biochemistry Kurukshetra University, Kurukshetra email: vkgupta59@rediffmail.com
  • 2. Enzyme Inhibitor  An Enzyme inhibitor is a compound that decreases or tends to decrease the rate of an enzyme catalyzed reaction by influencing the binding of S and /or its turnover number.
  • 3. Type of Inhibitors Type of Enzyme Inhibitors Reversible Irreversible Competitive Active Site Uncompetitive Directed Suicide / kcat Non- Competitive Inhibitors
  • 4. Reversible Inhibition  Inhibitor binds to Enzyme reversibly through weak non-covelent interactions  An Equilibrium is established between the free inhibitor & EI Complex and is defined by an equilibrium constant (Ki) E + I E I  The activity of Enzyme Is fully restored on removing the Inhibitor by dialysis. Reversible Inhibitors depending on concentration of E, S and I, show a definite degree of inhibition which is reached fairly rapidly and remains constant when initial velocity studies are carried out.
  • 5. Irreversible Inhibition  Inhibitor binds at or near the active site of the enzyme irreversibly, usually by covalent bonds, so it can’t dissociate from the enzyme  No equilibrium exits E + I E I  Enzyme activity is not regained on dialysis  Effectiveness of I is expressed not by equilibrium constant but by a velocity constant, which determines the fraction of the enzyme inhibited in a given period of time by a certain concentration of the I
  • 6. Competitive Inhibition  A competitive I combines with the free enzyme to form an EI complex in a manner that prevents S binding  Binding of S & I is mutually exclusive  Inhibition can be reversed by increasing the concentration of S at a constant [I]  Degree of inhibition will depend on the concentrations of S & I and on the relative affinities of the enzyme for S & I
  • 7. Binding of S & I in different Situations 1. Classical Competitive Inhibition (S & I compete for the same binding site) S I Enzyme
  • 8. 2. S & I are mutually 3. S & I have a common exclusive because of binding group on the steric hindrance enzyme. S I S I Enzyme Enzyme
  • 9. 4. The binding sites for S & I are distinct but overlapping. I S Enzyme
  • 10. 5. Binding of I to a distinct inhibitor site causes a conformational change in the enzyme that distorts or masks the S binding site or vice versa. I S Enzyme S I I S Enzyme Enzyme
  • 11. Examples for Competitive Inhibition CO O- CH2 SDH HC COO- + FAD + F AD H 2 -OO CCH i) CH2 CO O- S uc c i na t e F um a ra t e Malonate is a competitive inhibitor of SDH. ii) Cometitive inhibition accounts for the antibacterial action of sulfanilamide which is a structural analog of PABA O H2 N COOH H 2N S NH2 O PABA S ul fan i l a mi d e Sulfanilamide inhibits the bacterial enzyme dihydropteroate synthetase which catalyzes the incorporation of PABA into 7,8-dihydropteroic acid.
  • 12. Derivation of velocity equation k1 k2 E+S ES E+P + k-1 [E] [I] I Ki = [EI] Ki [E] [I] or [EI] = Ki EI + S X No Reaction In the steady state assumption [E] [S] k-1 + k2 = = Km [ES] k1 [E] [S] [ES] = Km v=k2[ES] ⇒ Vmax = k2 [E]T ⇒ Now [E]T = [E] + [ES] + [EI]
  • 13. Vmax = k2 ( [E] + [ES] + [EI] ) v k2 [ES] [ES] = = Vmax k2 ( [E] + [ES] + [EI] ) [E] + [ES] + [EI] Putting the value of [ES] and [EI} [E] [S] v Km Vmax = [E] [E] [S] [E] [I] + + Km Ki [S] v Km = Vmax [S] [I] 1 + Km + K i
  • 14. Multiplying by km both in the numerator and the denominator [S] v = Vmax [I] Km Km + [S] + Ki [S] v = Vmax [I] Km (1+ )+ [S] + Ki )
  • 15. In the presence of a competitive inhibitor Km increases Vmax unchanged v [S] = Vmax Kmapp + [S] [I] Where Kmapp = Km (1+ Ki ) Vmax v No inhibitor ½ Vmax + C Inhibitor Km Kmapp [s]
  • 16. [I] Lineweaver Burk plot 1 Km ( 1+ Ki ) 1 1 = v Vmax [S] + Vmax [I] ) [I]2 + i (1 K Km x [I]1 e = Vma Sl op 1 Km 1 Kmapp
  • 17. Calculation of Ki  From slope of the double reciprocal plot in the presence of a C. Inhibitor which is egual to Km (1+ [I] ) Slope = Ki Vmax  From Kmapp which is given by [I] Kmapp = Km (1+ Ki )
  • 18.  A graphical method is preferred to direct substitution of numbers to allow errors in individual determination to be averaged out From the replot of slope vs. [I] Km Km Slope = + [I] Vmax VmaxKi Kmapp Slope = Vmax Km Slope = Vmax Ki Km - Ki Vmax [I]
  • 19.  From replot of Kmapp Vs. [I] Km + Km [I] Kmapp = Ki Kmapp Km Slope = Ki - Ki Km [I]
  • 20.  From Dixon’s plot Km [I] 1 (1+ Km ) 1 = + [S] v Vmax[S] Ki Vmax IInc nc re rea as [S]1 siin ngg[ [SS] ] 1 Km Ki v x [S] [S] e = Vm a 1 Km p 2 (1+ ) Slo Vmax [S] 1 [S] = ∞ Vmax Slope = 0 [I] [S] - Ki (1+ Km )
  • 21. Non-competitive Inhibition  An inhibitor that binds to an enzyme to form a dead end complex, whether or not the active site is occupied by a substrate is termed as a NC Inhibitor  Can bind either to E or ES complex  Since I doesn't bear structural resemblance to the S, it must bind to the enzyme at a site distinct from the S binding site  The presence of I does not affect S bonding but does interfere with the catalytic functioning of the enzyme  The binding of I often deforms the E so that it doesn’t form ES complex at a normal rate and once formed, ES complex doesn’t decompose at normal rate to yield products
  • 22.  A NC I doesn’t affect the Km because the binding of I does not block S binding or vice-versa  I effectively lowers the concentration of active enzyme and hence decreases the apparent Vmax  since there is no competition between S & I, the inhibition is not reversed by increasing the [S] S Enzyme Enzyme S I I Enzyme Enzyme
  • 23. Examples for Non- Competitive Inhibition 1. Enzymes requiring divalent metal ions (e.g. Mg2+ & Ca2+ etc) for their activity are inhibited non-competitively by chelating agents like EDTA which removes metal ions from the enzyme 2. Enzymes with -SH groups that participate in the maintenance of the three dimensional conformation of the molecule are non-competitively inhibited by heavy metal ions. E SH + Hg2+ E S Hg+ + H+
  • 24. k2 E+S ES E+P [E] [S] [EI] [S] Ks Ks = [ES] = + + [ES] I I Replacing Ks with Km Ki Ki [ES] = [E] [S] Km EI + S ESI ` Ks Vmax Vmax i v No inhibitor ½ Vmax + NC Inhibitor ½ Vmax i Vmax = Decreases. Km = Unchanged Km [s]→
  • 25.  Lineweaver – Burk Plot 1 Km 1 + 1 = v Vmaxi [S] Vmaxi [I]2 m K i ax m V e= [I]1 op 1/v Sl 1 No Inhibitor Both slope & Intercept = Intercept Vmaxi Increased By the factor Km Slope = (1+[ I ] ) Vmax 1 Ki Km 1 Intercept = Vmax 1/[s]→
  • 26. Calculation of Ki i) From the slope of the reciprocal plot ii) from the intercept of the reciprocal plot Km Km [I] Slope = + iii) from replot of slope of the reciprocal Vmax Vmax Ki plot vs [ I ] Slope In partial NC inhibition this plot is hyperbolic Km - Ki Vmax [I]
  • 27. iv. Replot of intercept of the primary plot in the presence of a NC I vs [I] is linear 1 1 [I] Intercept = + Vmax Vmax Ki Intercept In partial NC inhibition this plot is hyperbolic 1 - Ki Vmax [I]
  • 28. v. Dixon’s Plot A plot of 1/v vs [I] will be linear at fixed [E] and [S] for NC inhibition [S]1 [S]2 1/v Km 1 1 Slope = ( Vmax [S] + Vmax ) Ki Km 1 - Ki ( Intercept = Vmax [S] + Vmax ) [I]
  • 29. Uncompetitive Inhibition  I doesn't bind to the free E rather it binds to the ES complex  the binding of an UC I is presumed to cause structural distortion of the active site making the enzyme catalytically inactive  the binding of S could cause a conformational change in the E thereby revealing an I binding site  Inhibition can’t be reversed by increasing the [S] since I doesn't compete with S for the same binding site S Enzyme Enzyme S I Enzyme
  • 30.  UC Inhibition is rare in single-substrate reactions. for e.g. Inhibition of intestinal alkaline phosphatase by L- phenylalanine. It is common in multisubstrate reactions E+S ES E+P + I [E] [S] [ES] = Km [E] [S] [I] ESI [ESI] = Km Ki
  • 31.  The equilibria show that at any [I] an infinitely high [S] will not drive all the enzyme to ES form; some non productive ESI complex will always be present. Consequently an UC I will decrease the V max  An UC I will also decrease the Kmapp because the reaction ES + I ESI removes some ES causing the reaction E+S ES to proceed to the right
  • 32. v [s] = Vmax Km [s] [I] [I] + (1+ ) (1+ ) Ki Ki The equation can also be written as Vmax v [s] = Vmaxi Kmapp +[s] Vmax i v ½ Vmax No inhibitor Vmax + UC Inhibitor Where Vmaxi = [I] ½ Vmax i (1+ ) Ki Vmax = Decreases Km = Decreases Km Kmapp= [I] Km [s]→ (1+ ) Kmapp Ki
  • 33. Lineweaver Burk plot [I] 1 Km 1 1 (1+ ) = + Ki v Vmax [S] Vmax Slope remains Unchanged & Intercept Inc Increases By re as the factor in (1+[ I ] ) [I]2 g[ [I]1 I] Ki 1/v No I 1/Vmaxi Incase of UC Inhibition Ki Km is that concn of I which Slope = halves the value of both Vmax Vmax and Km 1/Vmax 1/[s]→ -1/Kmapp -1/Km
  • 34. Calculation of Ki i) From the slope of the reciprocal plot [I] 1 1 (1+ ) ii) From the Km app = Ki Vmaxi Vmax iii) From replot of 1/Vmaxi vs [ I ] 1 1 1 [I] = + Vmaxi Vmax VmaxKi 1/Vmaxi 1 Slope = VmaxKi 1 - Ki Vmax [I]
  • 35. iv. From replot of 1/Km appvs [I] [I] 1 1 (1+ ) = Ki Km app Km 1 1 1 [I] = + Kmapp Km KmKi 1/Kmapp 1 Slope = KmKi 1 - Ki Km [I]
  • 36. The equation for Dixon’s plot is iv. Dixon’s Plot Km 1 Km [I] 1 (1+ ) = + [S] v Vmax Ki Vmax In c 1 i xK rea = ma sin 1/v o pe V Sl g[ 1 Km (1+ ) S] Vmaxi [S] ∞ ]= [S 1/Vmax [I]→ Km -Ki -Ki (1+ ) [S]
  • 37. Irreversible Inhibition An irreversible Inhibitor binds at or near the active site of the enzyme irreversibly, usually by covalent bonds, so that it can’t subsequently dissociate from the enzyme The I destroys as essential functional group on the enzyme that participates in normal S binding or catalytic action. As a result the enzyme is rendered permanently inactive Compounds which irreversibly denature the enzyme protein or cause non-specific inactivation of the active site are not usually regarded as irreversible inhibitors.
  • 38. Examples: Organophosphorus compounds (such as DFP) irreversibly react with the –OH group of essential serine residue of some enzymes DFP (Diisopropylphosphofluoridate) is a nerve poison since it inactivates acetylcholinesterase that plays an important role in the transmission of nerve impulses. OCH(CH3)2 OCH(CH3)2 E CH2-OH + F—P=O E CH2-O- F—P=O + HF OCH(CH3)2 OCH(CH3)2 DFP Catalytically inactive enzyme
  • 39. To distinguish between irreversible & NC Inhibition t or ib i In h r to t or bi no hi i bi In o l) In h Vmax C nt r N + ble (Co rsi ve Ir re [E]i [E]T→
  • 40. Types of Irreversible Inhibitors Irreversible inhibitors Active site directed Suicide Inhibitors irreversible Inhibitors (Mechanism-based Inhibitors) or or (Affinity labels) (kcat Inhibitors)
  • 41. Affinity labels An affinity label is a chemically reactive compound that is designed to resemble the substrate of an enzyme so that it binds at the active site and forms a stable covalent bond with a susceptible group of the nearby residue in the enzyme protein. Affinity labels are very useful for identifying catalytically important residues
  • 42. Examples: TPCK acts as an affinity label for Chymotrypsin; even at very low concn TPCK quantitatively inactivates chymotrypsin; TPCK is identical in structure to a substrate of this enzyme i.e. tosyl-L-phenylalanyl methyl ester, except that the carboxylic ester is replaced by the chloromethyl group. O OCH3 O CH2Cl O O S S N N O H O H TPCK tosyl-L-phenylalanine methyl ester (Affinity label) (Substrate)
  • 43. CH2 His 57 N H N CH3 O CH2 Cl O TPCK is attacked in a nucleophilic reaction by the S N atom of the imidazole side chain of His57. the N binding of TPCK to the Enz Brings the reactive –Cl O H group in close proximity to the His57 residue and facilitates the formation of a covelent bond between the I & imidazole side chain CH2 His 57 Cl- + H+ HO CH3 N H O CH2 N O O S phenylpropionate N O H Alkylated derivative of Excess concn of this His 57 prevent the inactivation by TPCK (inactive Enzyme)
  • 44. Suicide Inhibitors A suicide inhibitor is a relatively inert molecule that is transformed by an enzyme at its active site into a reactive compound that irreversibly inactivates the enzyme They are substrate analogs designed so that via normal catalytic action of the enzyme, a very reactive group is generated. The latter forms a covalent bond with a nearby functional group within the active site of the enzyme causing irreversible inhibition. Such inhibitors are called suicide inhibitors because the enzyme appears to commit suicide. e.g. FdUMP is a suicide inhibitor of thymidylate synthase.
  • 45. During thymidylate synthesis, N5,N10- methyleneTHF is converted to 7,8-dihydrofolate; methyleneTHF is regenerated in two steps
  • 46. Conversion of dUMP to dTMP and its inhibition by FdUMP
  • 47. Importance of Enzyme Inhibition  For understanding the regulation of enzyme activity within the living cells  To elucidate the kinetic mechanism of an enzyme catalyzing a multisubstrate reaction  Useful in elucidating the cellular metabolic pathways by causing accumulation of intermediates  Indentifiction of the catalytic groups at the active site  Provide information about substrate specificity of the enzyme
  • 48.  Form the basis of drug designing. The whole area of selective toxicity , including the use of antibiotic, toxin, insecticides etc is based on the exploitation of species differences in the susceptibility to enzyme inhibitors.  Competitive inhibitors are useful in x-rays crystallographic studies to pin point the active site in crystal structure and thus revealing how the surrounding amino acid residues interact with the bound molecule.  To treat methanol poisoning