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•                       	
                                       	
•                                      	
•                  	
•  Van der Waals                  	
• 
•              	
• 
• 
                     }
                    	
                                             	

•                                       	
                         	

     van der Waals
•                                                          	
     	
               i           k (i)
                  Σ
     	
 Ebonds = bonds                    ( L (i) – L (i,0) )2
                                   2


•                                                     	
                          i       k (i)
          Eangles = Σ                  ( θ(i) – θ(i,0) )2
                   angles          2


•                                                    	
                             V (i)
                              i
          Etorsions = Σ          ( 1 + cos ( nω - γ) )
                    torsions 2
•                                      (                          )
                  n       m    Q(n) Q(m)                                   	
     Eelesta = Σ      Σ
             atoms atoms      4πε r ( n , m )                         	


•  Van der Waal                                           (Lennard Jones )
              n       m A(n,m)                   C ( n , m ) 	
     Evdw = Σ    Σ (                -                       )
           atoms atoms r ( n , m ) 12           r ( n , m ) 6
Emax < 4 kcal/mol




            !!        	
Emax > 45 kcal/mol
Emax > 12 kcal/mol
                ???
δ   δ
• 
                  n      m  A(n,m)           C ( n , m ) 	
       Ehbond = Σ    Σ (                -               ) cos2 θ cos4 ω
               atoms atoms r ( n , m ) 12   r ( n , m ) 10 	



                                                     	




     θ donner H       acceptor          ω H        acceptor (lone pair)   	
                             donner     acceptor
molecular mechanics

                                          	

Etotal = Ebonds + Eangles + Etorsions +
        Eelesta + Evdw + Ehbond

                                      Etotal
                (                   )
molecular mechanics
                                       	
                                  E(B-A)        	


         	
Etotal
              	
   Fx =δE/δx =   E(B-A) /   x
                   Fy =δE/δy =   E(B-A) /   y
                   Fz =δE/δz =   E(B-A) /   z
molecular mechanics
molecular mechanics
molecular mechanics
Etotal = Ebonds + Eangles + Etorsions +
         Eelesta + Evdw + Ehbond + E       ics
                i    m i v i 2	
Ekinetics = Σ                      T   m, v               	
         atoms           2               T           	
	
 F=ma                                      	
                     n       m	
P V = nRT       (Σ       Σ r (n,m) F (n,m) ) / 3   PV          	
                atoms atoms                          rF
0.001ps            100ps
          100000                !!
(Epotential)
    Etotal = Ebonds + Eangles + Etorsions +
     Eelesta + Evdw + Ehbond + E       ics


E     ics            	
                     	
            !!!
Ekinetics	




                Epotential	




       	
(NVT        )
TM5             	
TM4
Pediatr. Nephrol. (2007) 22:670–673
Lisinopril                          ACE
                  central C=O                         terminal
                                                      carboxy
         central NH
                                    O          COO-
phenyl ethyl
                             H                       pyrrodiline ring
               (CH 2) 2      N
                                           N             Lisinopril
                          COO - (CH 2) 4
                                           lysinyl
         central                  NH3 +
         carboxy
MMP8
ACE – lisinopril                             	
                    	
  MMP9                                  	
                    	
MMP9 – lisinopril
Biochem Biophys Res Commun. 2007 354(4):981-4
•                    	
     Andrew R. Leach               	
               ISBN4-8052-0752-3
•  ChemBio3D Ultra
   CambridgeSoft 	
   http://www.cambridgesoft.com/
•  Molecular Operating Environment(MOE)
   Chemical Computing Group 	
   http://www.chemcomp.com/

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Dy071030

  • 1.
  • 2. ?     -
  • 3. ??
  • 4. = =
  • 6.
  • 7. •  •  •  •  Van der Waals • 
  • 8. •  •  •  } •  van der Waals
  • 9. •  i k (i) Σ Ebonds = bonds ( L (i) – L (i,0) )2 2 •  i k (i) Eangles = Σ ( θ(i) – θ(i,0) )2 angles 2 •  V (i) i Etorsions = Σ ( 1 + cos ( nω - γ) ) torsions 2
  • 10. •  ( ) n m Q(n) Q(m) Eelesta = Σ Σ atoms atoms 4πε r ( n , m ) •  Van der Waal (Lennard Jones ) n m A(n,m) C ( n , m ) Evdw = Σ Σ ( - ) atoms atoms r ( n , m ) 12 r ( n , m ) 6
  • 11. Emax < 4 kcal/mol !! Emax > 45 kcal/mol
  • 12. Emax > 12 kcal/mol ???
  • 13.
  • 14.
  • 15. δ δ
  • 16.
  • 17. •  n m A(n,m) C ( n , m ) Ehbond = Σ Σ ( - ) cos2 θ cos4 ω atoms atoms r ( n , m ) 12 r ( n , m ) 10 θ donner H acceptor ω H acceptor (lone pair) donner acceptor
  • 18.
  • 19.
  • 20. molecular mechanics Etotal = Ebonds + Eangles + Etorsions + Eelesta + Evdw + Ehbond Etotal ( )
  • 21. molecular mechanics E(B-A) Etotal Fx =δE/δx = E(B-A) / x Fy =δE/δy = E(B-A) / y Fz =δE/δz = E(B-A) / z
  • 25. Etotal = Ebonds + Eangles + Etorsions + Eelesta + Evdw + Ehbond + E ics i m i v i 2 Ekinetics = Σ T m, v atoms 2 T F=ma n m P V = nRT (Σ Σ r (n,m) F (n,m) ) / 3 PV atoms atoms rF
  • 26. 0.001ps 100ps 100000 !!
  • 27. (Epotential) Etotal = Ebonds + Eangles + Etorsions + Eelesta + Evdw + Ehbond + E ics E ics !!!
  • 28. Ekinetics Epotential (NVT )
  • 29.
  • 30.
  • 31.
  • 32. TM5 TM4
  • 33. Pediatr. Nephrol. (2007) 22:670–673
  • 34.
  • 35. Lisinopril ACE central C=O terminal carboxy central NH O COO- phenyl ethyl H pyrrodiline ring (CH 2) 2 N N Lisinopril COO - (CH 2) 4 lysinyl central NH3 + carboxy
  • 36. MMP8
  • 37. ACE – lisinopril MMP9 MMP9 – lisinopril
  • 38. Biochem Biophys Res Commun. 2007 354(4):981-4
  • 39.
  • 40. •  Andrew R. Leach ISBN4-8052-0752-3 •  ChemBio3D Ultra CambridgeSoft http://www.cambridgesoft.com/ •  Molecular Operating Environment(MOE) Chemical Computing Group http://www.chemcomp.com/