A Molecular Dynamics study of interfaces from pure liquids to biological membranes

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description

a PhD thesis in computational biology

Transcript of A Molecular Dynamics study of interfaces from pure liquids to biological membranes

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-100 -50 0 50 100

z axis (Å)

0

0.2

0.4

0.6

0.8

  ρ    (  g .  c  m -   3   )

SKS modelexperiment

  

  

     

     

  

  

     

  

  

  

  

  

     

  

  

     

  

     

  

  

  

        

  

  

  

     

  

  

     

     

  

  

  

  

  

        

  

  

     

  

  

  

  

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300   350   400   450 500Temperature (K)

0.4

0.45

0.5

0.55

0.6

0.65

  ρ    (  g .  c  m -   3   )

SKS modelOPLS modelGibbs-ensembleAlejandre et alExperimental

400   450 500 550   600Temperature (K)

0.4

0.45

0.5

0.55

0.6

0.65

  ρ    (  g .  c  m -   3   )

SKS modelOPLS modelGibbs-ensemble

500 550   600   650   700Temperature (K)

0.4

0.45

0.5

0.55

0.6

0.65

  ρ    (  g .  c  m -   3   )

SKS modelOPLS modelGibbs-ensemble

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273 293 313 333 353Temperature (K)

0.6

0.65

0.7

0.75

0.8

   ρ 

   (  g .  c  m -   3   )

C16 exp.C16 sim.C10 exp.C10 sim.C6 exp.C6 sim.

  

  

  

  

  

  

     

     

  

  

  

  

  

  

  

  

     

  

  

  

  

  

  

     

  

     

  

  

  

  

     

  

  

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250 300 350 400 450 500

Temperature (K)

0

2

4

6

8

10

12

14

16

18

  γ

   (  m   N .  m

 -   1   )

SKS modelOPLS modelAlejandre et al

0.4 0.5 0.6 0.7

ρ (g.cm-1

)

0

2

4

6

8

10

12

14

16

18

  γ

   (  m   N .  m

 -   1   )

SKS modelOPLS modelAlejandre et al

400 450 500 550 600Temperature (K)

0

2

4

6

8

10

  γ

   (  m   N .  m

 -   1   )

SKS modelOPLS model

0.4 0.5 0.6 0.7

ρ (g.cm-1

)

0

2

4

6

8

10

  γ

   (  m   N .  m

 -   1   )

SKS modelOPLS model

500 550 600 650 700Temperature (K)

0

2

4

6

8

10

  γ

   (  m   N .  m

 -   1   )

SKS modelOPLS model

0.4 0.5 0.6 0.7

ρ (g.cm-1

)

0

2

4

6

8

10

  γ

   (  m   N .  m

 -   1   )

SKS modelOPLS model

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260 280 300 320 340 360 380Temperature (K)

12

14

16

18

20

22

24

26

28

30

   γ

   (  m   N .  m

 -   1   )

C16 exp.C16 sim.C10 exp.C10 sim.C6 exp.C6 sim.

     

  

  

  

     

  

  

  

     

     

  

  

  

  

  

  

  

  

     

  

  

           

  

  

  

     

  

  

     

  

     

  

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-50   -40 -30 -20 -10 0 10 20 30 40   50coordinates along z axis (Å)

0

0.2

0.4

0.6

0.8

1

   d  e  n  s   i   t  y   (  g .  c  m -   3   )

hexanewaterwater+hexane

-10 -5 0 5 10 15z (Å)

  n  o  r  m  a   l   i  z  e   d   t  o   t  a   l   d  e  n  s   i   t  y  p  r  o   f   i   l  e

283 K303 K323 K343 K

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-4 0 4 8 12distance from the interface (Å)

-0.2

-0.1

0

0.1

0.2

  o  r   d  e  r  p  a  r  a  m  e   t  e  r

283 K303 K323 K343 K

-12 -8 -4 0 4distance from the interface (Å)

-0.2

-0.1

0

0.1

0.2

  o  r   d  e  r  p  a  r  a  m  e   t  e  r

283 K303 K323 K

343 K

dipole

normal

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-8 -4 0 4 8distance from the interface (Å)

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

   P  n -

   P   t   (  a  r   b   i   t  r  a  r  y

  u  n   i   t  s   )

283 K303 K323 K343 K

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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-30 -20 -10 0 10 20 30

Position from the interface (Å)

-0.03

-0.02

-0.01

0

0.01

0.02

0.03

   (  g .  c  m    )

 -   3

waterhexanetotalcomposite

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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0   5   10   15   20 ξ (Å)

0

5

10

15

  s  q  u  a  r  e   d  w   i   d   t   h   (    Å

   2   )

σCW

(sim)σ comp(sim)

σ (exp)σ CW

(exp)

ξ"

σ02=R

g2

 

 

 

 

   

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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S−base

S−top

S−height

  O L−Leu D−Leu L− Asp

L−ValC1H2

CH

CO L−Glu L−Leu D−leu

CH3−(CH2)10−CH

CO L−Glu L−Leu D−leu

  O L−Leu D−Leu L− Asp

 

 

 

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-40 -20 0 20 40z axis (Å)

0

0.2

0.4

0.6

0.8

1

1.2

1.4

  ρ 

   (  g .  c  m -   3   )

HexaneSurfactin headgroupWater

A

-48 -44 -40 -36 -32 -28 -24 -20 -16 -12z axis (Å)

0

0.2

0.4

0.6

0.8

1

1.2

1.4

  ρ 

   (  g .  c  m -   3   )

B

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-20 -10 0 10 20 coordinates along x axis (Å)

-20

-10

0

10

20

  c  o  o  r   d   i  n  a  t  e  s  a   l  o  n  g  y  a  x   i  s   (    Å   )

AAAAAAAAAAAA

-20 -10 0 10 20 coordinates along x axis (Å)

-20

-10

0

10

20

  c  o  o  r   d   i  n  a  t  e  s  a   l  o  n  g  y  a  x   i  s   (    Å   )

AAAAAA

-20 -10 0 10 20 coordinates along x axis (Å)

-20

-10

0

10

20

  c  o  o  r   d   i  n  a  t  e  s  a   l  o  n  g  y  a  x   i  s   (    Å   ) BBB

-20 -10 0 10 20 coordinates along x axis (Å)

-20

-10

0

10

20

  c  o  o  r   d   i  n  a  t  e  s  a   l  o  n  g  y  a  x   i  s   (    Å   ) B

-20 -10 0 10 20 coordinates along x axis (Å)

-20

-10

0

10

20

  c  o  o  r   d   i  n  a  t  e  s  a   l  o  n  g  y  a  x   i  s   (    Å   )

CC

-20 -10 0 10 20 coordinates along x axis (Å)

-20

-10

0

10

20

  c  o  o  r   d   i  n  a  t  e  s  a   l  o  n  g  y  a  x   i  s   (    Å   )

CC

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-20 -10 0 10 20coordinates along x axis (Å)

-20

-10

0

10

20

  c  o  o  r   d   i  n  a  t  e  s  a   l  o  n  g  y  a  x   i  s   (    Å   )

A

-20 -10 0 10 20coordinates along x axis (Å)

-20

-10

0

10

20

  c  o  o  r   d   i  n  a  t  e  s  a   l  o  n  g  y  a  x   i  s   (    Å   )

A

-20 -10 0 10 20coordinates along x axis (Å)

-20

-10

0

10

20

  c  o  o  r   d   i  n  a  t  e  s  a   l  o  n  g  y  a  x   i  s   (    Å   )

B

-20 -10 0 10 20coordinates along x axis (Å)

-20

-10

0

10

20

  c  o  o  r   d   i  n  a  t  e  s  a   l  o  n  g  y  a  x   i  s   (    Å   )

B

-20 -10 0 10 20coordinates along x axis (Å)

-20

-10

0

10

20

  c  o  o  r   d   i  n  a  t  e  s  a   l  o  n  g  y  a  x   i  s   (    Å   )

C

-20 -10 0 10 20coordinates along x axis (Å)

-20

-10

0

10

20

  c  o  o  r   d   i  n  a  t  e  s  a   l  o  n  g  y  a  x   i  s   (    Å   )

C

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5 7.5   10   12.5 15 17.5   20   22.5R (Å)

0

0.5

1

1.5

2

2.5

   g    (    R    )

16 molec./interf.12 molec./interf.9 molec./interf.4 molec./interf.

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0 30 60 90 120 α

 dih

0

0.2

0.4

0.6

0.8

1

16 molec./interf.

12 molec./interf.

9 molec./interf.

A

0 30 60 90 120 α

 dih

0

0.2

0.4

0.6

0.8

1

4 molec./interf.

2 molec./interf.

1 molec./interf.

B

0 30 60 90 120α

dih.

0

0.2

0.4

0.6

0.8

1

clustered to 2 other surfactin molecules

tumbled over or clustered to 1 other surfactin

free molecules not tumbled

C

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-90 -60 -30 0 30 60 90angle between S

heightand xy plane

0

0.2

0.4

0.6

0.8

1

16 molec./interf.12 molec./interf.9 molec./interf.

A

-90 -60 -30 0 30 60 90angle between S

heightand xy plane

0

0.2

0.4

0.6

0.8

1

4 molec./interf.2 molec./interf.1 molec./interf.

B

-90 -60 -30 0 30 60 90angle between S

heightand xy plane

0

0.2

0.4

0.6

0.8

1

saddle up moleculessaddle down molecules

C

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-90 -60 -30 0 30 60 90S

 baseangle (degree)

0

0.2

0.4

0.6

0.8

1

16 molec./interf.12 molec./interf.9 molec./interf.

A

-90 -60 -30 0 30 60 90S

 topangle (degree)

0

0.2

0.4

0.6

0.8

1

16 molec./interf.12 molec./interf.9 molec./interf.

A

-90 -60 -30 0 30 60 90S

 baseangle (degree)

0

0.2

0.4

0.6

0.8

1

4 molec./interf.2 molec./interf.1 molec./interf.

B

-90 -60 -30 0 30 60 90S

 topangle (degree)

0

0.2

0.4

0.6

0.8

1

4 molec./interf.2 molec./interf.1 molec./interf.

B

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2 3 4 5 6 7 8 9 10S base vector length (Å)

0

0.2

0.4

0.6

0.8

1

16 molec./interf.12 molec./interf.9 molec./interf.

A

2 3 4 5 6 7 8 9 10S top vector length (Å)

0

0.2

0.4

0.6

0.8

1

16 molec./interf.12 molec./interf.9 molec./interf.

A

2 3 4 5 6 7 8 9 10S base vector length (Å)

0

0.2

0.4

0.6

0.8

1

4 molec./interf.2 molec./interf.1 molec./interf.

B

2 3 4 5 6 7 8 9 10S top vector length (Å)

0

0.2

0.4

0.6

0.8

1

4 molec./interf.2 molec./interf.1 molec./interf.

B

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NH(1)-CO(5)NH(2)-CO(5)

NH(5)-CO(2)NH(5)-NH(4)

0

100

200

300

400

500

   l   i   f  e   t   i  m  e   (  p  s   )

A(a) (a)

(a)

(a)

(a) embedded molecules

(c)

(c)

(b)

(c)

(b)

(c)

(b) ending molecules(c) free molecules

NH(1)-CO(5)NH(2)-CO(5)

NH(5)-CO(2)NH(5)-NH(4)

0

100

200

300

400

500

   l   i   f  e   t   i  m  e   (  p  s   )

B

(a)

(a)

(a)

(a)

(a) saddle up molec.

(b)

(b)(b)

(b)

(b) saddle down molec.

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0   5   10   15   20   25   30l(l+1)

0

1

2

3

4

5

6

7

8

9

   -       1       /  τ 

       (     n     s

   -       1       )

1 molec./interf.2 molec./interf.4 molec./interf.9 molec./interf.12 molec./interf.16 molec./interf.

A

0 10 20 30 40   50time (ps)

-40

-30

-20

-10

0

   (   l  n  <   P   l  c  o  s   θ  >   )   /   l   (   l  +   1   )

   (   1   0 -

   3   )

l=1l=3l=5

B

a

b

c

d

e

0 4 8 12 16Number of surfactin molecules per interface

0

0.05

0.1

0.15

0.2

0.25

   R  o   t  a   t   i  o  n  a   l   d   i   f   f  u  s   i  o  n  c  o  e   f   f   i  c   i  e  n   t   (  n  s -   1   )

C

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0 10 20 30 40 50z axis (Å)

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O O

O O

O

OHO

HO   OHO

OH   POO

OH

HOHCCH2OH

O

OO

O

OOHO

HO   OHO

OH POOOH

HOHCCH2OH

O

O

O  O   OO

HO

HO   OHO

OH

POOOH

HOHCCH2OH

O

OO

O

O

OHO

HO   OHO

OH

PO

O

OH

HOHCCH2OH

O O

O O

O

OHO

HO   OHO

OHPOOOH

HOHCCH2OH

MPL

0200

0202

1202

1212

chain 1

chain 2

   

 

 

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-40 -30 -20 -10 0 10 20 30 40z (Å)

0

0.2

0.4

0.6

0.8

1

1.2

1.4

  m  a  s  s   d  e  n  s   i  t  y   (  g .  c  m -   3   )

-40 -30 -20 -10 0 10 20 30 40z (Å)

0

0.2

0.4

0.6

0.8

1

1.2

1.4

  m  a  s  s   d  e  n  s   i  t  y   (  g .  c  m -   3   )

-40 -30 -20 -10 0 10 20 30 40z (Å)

0

0.2

0.4

0.6

0.8

1

1.2

1.4

  m  a  s  s   d  e  n  s   i  t  y   (  g .  c  m -   3   )

-40 -30 -20 -10 0 10 20 30 40z (Å)

0

0.2

0.4

0.6

0.8

1

1.2

1.4

  m  a  s  s   d  e  n  s   i  t  y   (  g .  c  m -   3   )

-40 -30 -20 -10 0 10 20 30 40z (Å)

0

0.2

0.4

0.6

0.8

1

1.2

1.4

  m  a  s  s   d  e  n  s   i  t  y   (  g .  c  m -   3   )

-40 -30 -20 -10 0 10 20 30 40z (Å)

0

0.1

0.2

0.3

0.4

  e   l  e  c  t  r  o  n   i  c   d  e  n  s   i  t  y   (  e - .   A

 -   3   )

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-16 -12 -8 -4 0 4 8 12 16

carbon number

-0.4

-0.2

0

0.2

0.4

0.6

0.8

  o  r   d  e  r  p  a  r  a  m  e   t  e  r

C--C chain 2

C--C chain 1

C--H chain 2

C--H chain 1

-16 -12 -8 -4 0 4 8 12 16

carbon number

-0.4

-0.2

0

0.2

0.4

0.6

0.8

  o  r   d  e  r  p  a  r  a  m  e   t  e  r

C--C chain 2

C--C chain 1

C--H chain 2

C--H chain 1

-16 -12 -8 -4 0 4 8 12 16

carbon number

-0.4

-0.2

0

0.2

0.4

0.6

0.8

  o  r   d  e  r  p  a  r  a  m  e   t  e  r

C--C chain 2

C--C chain 1

C--H chain 2

C--H chain 1

-16 -12 -8 -4 0 4 8 12 16

carbon number

-0.4

-0.2

0

0.2

0.4

0.6

0.8

  o  r   d  e  r  p  a  r  a  m  e   t  e  r

C--C chain 2

C--C chain 1

C--H chain 2

C--H chain 1

-16 -12 -8 -4 0 4 8 12 16

carbon number

-0.4

-0.2

0

0.2

0.4

0.6

0.8

  o  r   d  e  r  p  a  r  a  m  e   t  e  r

C--C chain 2

C--C chain 1

C--H chain 2

C--H chain 1

-16 -12 -8 -4 0 4 8 12 16

carbon number

-0.4

-0.2

0

0.2

0.4

0.6

0.8

  o  r   d  e  r  p  a  r  a  m  e   t  e  r

C--C chain 2

C--C chain 1

C--H chain 2

C--H chain 1

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0 5 10 15 20 25 300,00

0,02

0,04

0,06

0,08

0,10

0,12

0,14

0,16

  a  r   b   i   t  r  a  r  y

  u  n   i   t  s

Tilt angle (degree)

0000

0200

0202

1202

1212

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0 10 20 30 40   50   60 70 80 90 100

slabs

-3

-2

-1

0

1

2

3

   L  a  t  e  r  a   l  p  r  e  s  s  u  r  e  p  r  o   f   i   l  e

0 10 20 30 40   50   60 70 80 90 100

slabs

-3

-2

-1

0

1

2

3

   L  a  t  e  r  a   l  p  r  e  s  s  u  r  e  p  r  o   f   i   l  e

0 10 20 30 40   50   60 70 80 90 100

slabs

-3

-2

-1

0

1

2

3

   L  a  t  e  r  a   l  p  r  e  s  s  u  r  e  p  r  o   f   i   l  e

0 10 20 30 40   50   60 70 80 90 100

slabs

-3

-2

-1

0

1

2

3

   L  a  t  e  r  a   l  p  r  e  s  s  u  r  e  p  r  o   f   i   l  e

0 10 20 30 40   50   60 70 80 90 100

slabs

-3

-2

-1

0

1

2

3

   L  a  t  e  r  a   l  p  r  e  s  s  u  r  e  p  r  o   f   i   l  e

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