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Дата изменения: Wed Oct 24 19:28:22 2007
Дата индексирования: Mon Oct 1 20:18:57 2012
Кодировка:

F1- . .
(, )

[1-4] F1-. , .
F1-, / , -- F0F1- . F0F1- -- F0 F1- F0 F1 . F0 F1-, [5]. F1- . F1- [6]. F1 [., , 6]. 100 . F1- ()3 , 33. , -

. . -- -- 2005, . 3, . 944 945 Pogrebnaya A. F. -- MCE -- 2005, vol. 3, p. 944 945

: -- (t), -- (l), -- (e) (. 1). () (t) , (l) (e) -- . , , «» -- , , , .

. 1. ( ) ; -- MgATP ( t); -- ( e); -- MgADP ( l)

. , 33, ( ) . 0.510 ( ), 1200, 100%. , , ,
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8. , Part 8. Mathematical methods in biology, ecology and chemistry

1200 : 800900, , 400300. [7] F1- . ( ). , F1-, , ()3. , , , , , . , , , , 900, 1200, 2100, 2400, .., , 100% [3]. . . , . ()3 . 300 () 900. , Pi , . , e l ( . 2). 300, l t.
946

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300 ( Pi), , . «» ( t e ) , . , 1200 , .

. 2. V

ATP

( ) --

, VADP ( ) -- ; S ( - i ) -- « », R( - i ) -- . [3]

. , :

V ( ) =- s + fl (t ) + Fext , t

-- ; -- , 947

8. , Part 8. Mathematical methods in biology, ecology and chemistry

; Vs ( ) -- , , 1 = 00 , 2 = 1200 ,3 = 2400 :

Vs ( ) = V ( - 1 ) + V ( - 2 ) + V ( - 3 ) ;
Fext -- ; f1 (t ) -- , . fl (0) fl ( ) = kT ( ) .
, , ( 10-3 Nsm -2 10-21 [36]) ( J = mL2 10-32 ), d 2 (1) J 2 , dt . , , ..:

V ( - i ) =

ATP

ATP

V

ATP

( ) +

ADP

V

ADP

( )

,

ADP

{[1,0,] , [ 0,1] , [ 0, 0

]}

--

, VATP ( ), VADP ( ) -- , , (. 2). , i . « » -- , -- , ATP , ADP (3):
948

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d d
ATP ,i

dt
ADP ,i

S ( - i ) R( - i ) =- + h - ATP S ( - i ) R( - i ) =- + s - ADP

ATP ,i

+ +

R( - i )

ADP ,i

+k

+ ATP

n

ATP

S ( - i ), S ( - i ),

s

(3)

R( - i )

dt

ADP ,i

ATP ,i

+k

+ ADP

n

ADP

h

i = 1, 2, 3 -- . 3 ATP ( ADP ),i (
), , , , ATP ( ADP ),i :
ATP ( ADP

0
)

ATP ( ADP ) ,i

1,

ATP ( ADP ), i

+

ADP ( ATP ), i

1.

k 1 DT ,1

-- ATP

; n

n

ADP

--

; S ( - i ) , R( - i ) -- , «» « » (. . 2); TD --
ATP ( ADP

; 1

)

--

. (3) , ( S ( - i ) ). . , i , , R( - i ) . . . (1)(5), , . = 10-21 ,
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8. , Part 8. Mathematical methods in biology, ecology and chemistry

- ADP

1,

k

+ ATP

= 4 в 106 c -1 M -1 ,
+ ADP

- ATP

k

+ ATP

= 0.12 M -1 ,

= 0.5M -1 . k+ ATP . (1) . ( t = 0.01 В 0.1 ), . (4) , .. «» . t /2 / / , , . [., , 3], , ATP ( ADP ),i ;t = 0 , k
+ ATP

k = 0.25M -1 ,

ATP ( ADP ), i ;t

ATP ( ADP ),i ;t = t , =t / 2

( ). ATP ( ADP ),i ;t =t / 2 > (
ATP ( ADP ) ,i ;t =t

> ), [ 0,1] -

[ 0,1] , , ..

ATP ( ADP ) ,i ;t =t / 2

(

ATP ( ADP ) ,i ;t = t

)

1 (
ATP ( ADP ), i ;t =t / 2

3),

(

ATP ( ADP ) ,i ;t =t

)

0 .

(1),
950

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ATP ( ADP ) ,i ;t =t

(0 1). -

. , , ( «»). (, , ), , .. . . 3 , ( , ). , . , 1200 . 4 . , K m 0.187 ,
vmax 22.8c -1 . , .

. 3.

. 4.

5 951

8. , Part 8. Mathematical methods in biology, ecology and chemistry

( f ext ). , , Vs 20 (. 2) = 1.667 . 120 , , , . , . ), Vs f ext - k BT . 6 ( f ext ). , . , , , «» , .
step

(

=

. 5. ( f ext )

. 6. ( f ext )

952

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F1- . -, - K m 187 ( / , / ). V f ext 2 s . , 120 , , , . .., .. ..
« » (2071.2003.4), ( 05-03-32880), , INTAS (01-0450).

: 1. Pogrebnaya A.F., Romanovsky Y.M., Tikhonov A.N. Electrostatic interactions in catalytic centers of F1-ATPase // SPIE. 2003. V.5068. P.2735. 2. .., .., .. F1ATP // . 2003. .48. 6. .10521070. 3. Pogrebnaya A.F., Romanovsky Yu.M., Tikhonov A.N., Stochastic model of molecular motor of ATPase // Complex Dynamics, Fluctuations, Chaos and Fractals in Biomedical Photonics, Proceedings SPIE. 2004. V.5330. .120131. 4. Walker J.E. (Ed.) The Mechanism of F1F0-ATPase // Biochim. Biophys. Acta: special issue. 2000. V.1458. 23. 5. Senior, Nadinaciva S., Weber J. The molecular mechanism of ATP synthesis by F1F0-ATP synthase // Biochim. Biophys. Acta. 2002. V.1553. P.188211.
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8. , Part 8. Mathematical methods in biology, ecology and chemistry

6. Yasuda R., Noji H., Yoshida M., Kinosita K. Jr. & Itoh H. Resolution of distinct rotational substeps by submillisecond kinetic analysis of F1-ATPase // Nature. 2001. V.410. 19. .898904. 7. Itoh H., Takahashi A., Adachi K., Noji H., Yasuda R., Yoshida M., Kinosita K. Mechanically driven ATP synthesis by F1ATPase // Nature. 2004. V.427.

SYNTHESIS OF ATP BY F1-APASE IN STOCHASTIC MODEL Pogrebnaya A. F.
(Russia, Moscow)
The paper continues our opment of mathematical motor. Here it has been external force applied to series of papers [1-4] devoted to the develmodel on rotation of F1-APase molecular considered the synthesis of ATP induced by the rotor.

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