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Quantum Mechanical Treatment
of a Binding Mode in Thrombin:
    Electrostatics of Binding




      Cain Morano, Dr.Dave Hangauer SUNY Buffalo
In collaboration with Dr.Gerhard Klebe and Christof Gerlach
           Phillips University, Marburg, Germany
Summary
Project summary


Physical chemistry primer



Computational chemistry tutorial



Process and product



               Coherent, progressive structure
Project Summary

Unraveling the Thermodynamics of
     Molecular Recognition:
Enthalpy/Entropy Compensation

Thrombin & available or novel
inhibitors

Collaboration for ITC, X-ray, and
activity



            The “Holy Grail” of Drug Discovery:
          Quantification of non-covalent interactions
But the question is…




Are we King Arthur’s Court…..or Monty Python?
Enthalpy/Entropy Compensation


   Non-linear relationship
between enthalpy and entropy


  Theory supported by
Dudley Williams’ findings




 Degrees of freedom and functional groups affect energetics
Enthalpy/Entropy Compensation




                                      0,00    UB10   UB11
        N
N                O                                                     N
                                     -10,00                    N                O
    O
             N                                                     O
                            kJ/mol




                                                                            N
                                     -20,00



                                     -30,00

            HN       N H2
                                                                           HN       N H2
                                     -40,00




                                     Side-by-side comparison
Target Compound
                 S2
S3

                            O            S1
                   N
                           N
      H 2N     O           H


                                   Cl




     Merck’s ligand w/ binding regions
Novel Binding Mode


   Charge-transfer bond


   Theory supported by
Auffinger et al.




           Novel interaction thought to enhance binding
Method Summary
  Merck crystal structure 1TA2



  MM performed with Sybyl 6.9



  QM calculations performed with Gaussian94



  Visualized with Molekel and Rastop


Process required multiple tools and skill sets
Molecular Modeling


Semi empirical

Many functions & features




        Powerful tool in the drug discovery toolbox
Molecular Modeling

Advantages
  Fast

  User defined functions and parameters

  Rational drug design




Disadvantages
  ‘Global minima problem’

  Requires user intuition and skills

  Requires crystal structure




   Another tool, not a paradigm shift
Quantum Mechanical Calculations



 Ab initio

 Main functions




                  Powerful theoretical tool
Quantum Mechanical Calculations

       Advantages
         Accurate theory to support practice

         User defined functions

         Detailed physicochemical view




       Disadvantages
         Computationally expensive

         Requires specific skill set

         Electron correlation and solvation




     Extremely useful for variety of problems
Overall method evaluation

     Strengths
       Fast

       Inexpensive

       Offers qualitative data

     Weaknesses
       No solvation factor

       No cooperativity

       Only a model




     Tools that can guide research
Math to Model

B3LYP
  DFT – total e density, not Ψ
                -




6-31G*
  Split valence basis set with

   polarization function



Builds the model piece-by-piece from atomic to molecular orbital
Math to Model




Mathematical constructs that emerge into a model
Strategy

Calculate for single residues

Calculate binary, ternary, quaternary interactions

Modify with EDG & EWG

Establish collaboration with CCR at SUNY Buffalo




       Iterative and progressive process
Streamlining the Process

Ligand truncated to meta-chlorotoluene

Amino acids truncated:
  Asp189 to acetate

  Trp215-Gly216 to N-methyl-acetamide

  Tyr228 to para-hydroxytoluene




Begin with small basis set, low level theory




         Simplify then build, consider cost and return
Binary Interactions
   charge scale… -0.1346 to 0.10548 a.u.




   Amide bond from backbone with ligand


Areas of counter-intuitive induced polarization
Binary Interactions




        -0.17249 to 0.07430 a.u.
        -0.1346 to 0.10548 a.u.




Manipulate charge scale for details
Binary Interactions
charge scale… -0.17249 to 0.07430 a.u.




      Compare to lone molecules
Quaternary Interactions
           charge scale… -0.33983 to 0.02533




Prominent active site electrostatic interactions in complex
Quaternary Interactions


                                 Asp189
          Amide




                            Ligand




                                          Tyr228

Electrostatic cooperativity evident in complex
Quaternary Interactions
Amide




                                Ligand




                                                   Asp189




  Skewed electron density evident on all faces of ligand
Atomic Charges (a.u.)
              Ligand – m-chlorotoluene



 Ligand alone     in 4 complex
                                           (+)
 1 C -0.515353    -0.520246
 3 C 0.160422     0.221632
 4 C -0.179828    -0.223321                       (-)
 5 C -0.059304    -0.044822      (-)
 6 C -0.140007    -0.163481
 7 C -0.119940    -0.124885
 8 C -0.179843    -0.217493                 (+)
12 Cl -0.021362    0.002192




   Chlorine loses large average electron density
Atomic Charges (a.u.)
                 Tyrosine 228



Tyr alone        in 4° complex
1 C -0.529781     -0.520798                      (+)
5 C 0.176656       0.185123
6 C -0.188862     -0.186104
8 C -0.191649     -0.180380
10 C 0.345964      0.359216
11 O -0.645287    -0.648089      (+)
13 C -0.156044    -0.149920
15 C -0.184380    -0.187260




       Biggest changes were loss of e- density
Atomic Charges (a.u.)
                Amide bond of peptide backbone




Amide alone      in 4° complex      (+)
1 C -0.532613     -0.544136
2 C 0.588998       0.599478
6 O -0.508945     -0.520799
7 N -0.580061     -0.546658
8 C -0.310442     -0.304025
                                                 (-)




    Amide oxygen gains, Amide nitrogen loses e- density
Atomic Charges (a.u.)
                   Aspartic Acid 189




                                          (-)
Asp alone       in 4° complex
1 C -0.502038   -0.507450
2 C 0.520851     0.501807
3 O -0.639533   -0.625789
4 O -0.639927   -0.630447

                                          (+)




      Oxygens lose e- density, Carbon gains e- density
Side-by-Side Comparison
                 Charge scale -0.1000 to -0.1800




2,5-dichloro               m-chloro             m-chloro-o-nitro



               Other ligands are being synthesized
Conclusions


Data weaknesses

Data strengths

Collaboration and new tools




Enough data to point at useful new methods but needs work
Current Projects
                                   CH3          O                                   CD3                O
                        H 3C                                               D 3C   N
                                N
                                                    OH                                                     OH
                            H 3C                                             D 3C
                                   Cl                                                  Cl


                               T rim e th y la m m o n iu m b u tyric a c id C h lo rid e la b e ls

                                                                                                                                    O     OH


                                                                                                                                    N
                                                                                  HN                                                H

                                                  HN                                                       OH
               H    O                                                                       N
                                                              OH
               N                                                                            H          O
O                                                       O                                                                                 OH
                        R
           O                                           Leu                                      T rp                                     Tyr

                                         R=                            O      OH


    F A -P h e -R                                                      N                                        HN
                                                                       H
                                                                                                                 N
                                                                 HN          NH                                                     OH
                                                                                                                     N
                                                                       NH2                                           H
                                                                                                                                O
                                                                      A rg                                               H is



             Synthesis of labels and dipeptide substrates
Current Projects


       HEK3, HEK4 analysis
using Analyst and MASCOT

      DIGE analysis using
DeCyder software
Done!




P.S. Thanks for not falling asleep.

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Qm Treatment AECOM Presentation

  • 1. Quantum Mechanical Treatment of a Binding Mode in Thrombin: Electrostatics of Binding Cain Morano, Dr.Dave Hangauer SUNY Buffalo In collaboration with Dr.Gerhard Klebe and Christof Gerlach Phillips University, Marburg, Germany
  • 2. Summary Project summary Physical chemistry primer Computational chemistry tutorial Process and product Coherent, progressive structure
  • 3. Project Summary Unraveling the Thermodynamics of Molecular Recognition: Enthalpy/Entropy Compensation Thrombin & available or novel inhibitors Collaboration for ITC, X-ray, and activity The “Holy Grail” of Drug Discovery: Quantification of non-covalent interactions
  • 4. But the question is… Are we King Arthur’s Court…..or Monty Python?
  • 5. Enthalpy/Entropy Compensation Non-linear relationship between enthalpy and entropy Theory supported by Dudley Williams’ findings Degrees of freedom and functional groups affect energetics
  • 6. Enthalpy/Entropy Compensation 0,00 UB10 UB11 N N O N -10,00 N O O N O kJ/mol N -20,00 -30,00 HN N H2 HN N H2 -40,00 Side-by-side comparison
  • 7. Target Compound S2 S3 O S1 N N H 2N O H Cl Merck’s ligand w/ binding regions
  • 8. Novel Binding Mode Charge-transfer bond Theory supported by Auffinger et al. Novel interaction thought to enhance binding
  • 9. Method Summary Merck crystal structure 1TA2 MM performed with Sybyl 6.9 QM calculations performed with Gaussian94 Visualized with Molekel and Rastop Process required multiple tools and skill sets
  • 10. Molecular Modeling Semi empirical Many functions & features Powerful tool in the drug discovery toolbox
  • 11. Molecular Modeling Advantages  Fast  User defined functions and parameters  Rational drug design Disadvantages  ‘Global minima problem’  Requires user intuition and skills  Requires crystal structure Another tool, not a paradigm shift
  • 12. Quantum Mechanical Calculations Ab initio Main functions Powerful theoretical tool
  • 13. Quantum Mechanical Calculations Advantages  Accurate theory to support practice  User defined functions  Detailed physicochemical view Disadvantages  Computationally expensive  Requires specific skill set  Electron correlation and solvation Extremely useful for variety of problems
  • 14. Overall method evaluation Strengths  Fast  Inexpensive  Offers qualitative data Weaknesses  No solvation factor  No cooperativity  Only a model Tools that can guide research
  • 15. Math to Model B3LYP  DFT – total e density, not Ψ - 6-31G*  Split valence basis set with polarization function Builds the model piece-by-piece from atomic to molecular orbital
  • 16. Math to Model Mathematical constructs that emerge into a model
  • 17. Strategy Calculate for single residues Calculate binary, ternary, quaternary interactions Modify with EDG & EWG Establish collaboration with CCR at SUNY Buffalo Iterative and progressive process
  • 18. Streamlining the Process Ligand truncated to meta-chlorotoluene Amino acids truncated:  Asp189 to acetate  Trp215-Gly216 to N-methyl-acetamide  Tyr228 to para-hydroxytoluene Begin with small basis set, low level theory Simplify then build, consider cost and return
  • 19. Binary Interactions charge scale… -0.1346 to 0.10548 a.u. Amide bond from backbone with ligand Areas of counter-intuitive induced polarization
  • 20. Binary Interactions -0.17249 to 0.07430 a.u. -0.1346 to 0.10548 a.u. Manipulate charge scale for details
  • 21. Binary Interactions charge scale… -0.17249 to 0.07430 a.u. Compare to lone molecules
  • 22. Quaternary Interactions charge scale… -0.33983 to 0.02533 Prominent active site electrostatic interactions in complex
  • 23. Quaternary Interactions Asp189 Amide Ligand Tyr228 Electrostatic cooperativity evident in complex
  • 24. Quaternary Interactions Amide Ligand Asp189 Skewed electron density evident on all faces of ligand
  • 25. Atomic Charges (a.u.) Ligand – m-chlorotoluene Ligand alone in 4 complex (+) 1 C -0.515353 -0.520246 3 C 0.160422 0.221632 4 C -0.179828 -0.223321 (-) 5 C -0.059304 -0.044822 (-) 6 C -0.140007 -0.163481 7 C -0.119940 -0.124885 8 C -0.179843 -0.217493 (+) 12 Cl -0.021362 0.002192 Chlorine loses large average electron density
  • 26. Atomic Charges (a.u.) Tyrosine 228 Tyr alone in 4° complex 1 C -0.529781 -0.520798 (+) 5 C 0.176656 0.185123 6 C -0.188862 -0.186104 8 C -0.191649 -0.180380 10 C 0.345964 0.359216 11 O -0.645287 -0.648089 (+) 13 C -0.156044 -0.149920 15 C -0.184380 -0.187260 Biggest changes were loss of e- density
  • 27. Atomic Charges (a.u.) Amide bond of peptide backbone Amide alone in 4° complex (+) 1 C -0.532613 -0.544136 2 C 0.588998 0.599478 6 O -0.508945 -0.520799 7 N -0.580061 -0.546658 8 C -0.310442 -0.304025 (-) Amide oxygen gains, Amide nitrogen loses e- density
  • 28. Atomic Charges (a.u.) Aspartic Acid 189 (-) Asp alone in 4° complex 1 C -0.502038 -0.507450 2 C 0.520851 0.501807 3 O -0.639533 -0.625789 4 O -0.639927 -0.630447 (+) Oxygens lose e- density, Carbon gains e- density
  • 29. Side-by-Side Comparison Charge scale -0.1000 to -0.1800 2,5-dichloro m-chloro m-chloro-o-nitro Other ligands are being synthesized
  • 30. Conclusions Data weaknesses Data strengths Collaboration and new tools Enough data to point at useful new methods but needs work
  • 31. Current Projects CH3 O CD3 O H 3C D 3C N N OH OH H 3C D 3C Cl Cl T rim e th y la m m o n iu m b u tyric a c id C h lo rid e la b e ls O OH N HN H HN OH H O N OH N H O O O OH R O Leu T rp Tyr R= O OH F A -P h e -R N HN H N HN NH OH N NH2 H O A rg H is Synthesis of labels and dipeptide substrates
  • 32. Current Projects HEK3, HEK4 analysis using Analyst and MASCOT DIGE analysis using DeCyder software
  • 33. Done! P.S. Thanks for not falling asleep.