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  • 1

    NNMMRR

    1

    (NMR)

    NMR

    NMR

    NMR NMR

    (MaxEnt) (CS)

    NMR(SpM) NMR

    NMR( 1 )

    2 NNMMRR

    NMR 21

    NMR

    NMR

    NMR

    n1 n-1

    E-mail: [email protected]

    2 NMR

    !

    SpM

    1

    科学研究費補助金 新学術領域研究「スパースモデリングの深化と高次元データ駆動科学の創成」最終成果報告会 (2017/12/18-20)

  • 2

    2

    (non-uniform sampling, NUS)3

    MaxEnt [1-3]CS [4,5]

    (C01-3) 2

    (AMP)

    NMR 2 1H-15N HSQC

    Biological Magnetic Resonance Bank (BMRB)

    (AMP) Smoothelin CH 2 1H-15N HSQC 4

    15N 128 32

    3 NMR

    4

  • 3

    Lp (p=0 or 1)IRLS(iterative reweighted least squares)

    p 1 0 L0

    n NMR

    n-1

    n-1n

    21

    32

    1

    3 NMR

    5

    mddNMR[4]

    NOESY

    3 NNMMRR

    NMR

    NMR

    (B01-2) 20 19

    2 1H-15N HSQC3

    in-cell NMR 3

    15N NMR

    [6] 13C 15N 1 13C2 HN(CO)

    i 1 i-1

    55 IRLS

  • 4

    [7-11]

    Stable isotope encoding; SiCode 6 [12]

    1REMC

    [13]REMC

    [14] 7 BMX SH2(Y)C83 (H)N97 4,111

    REMC(H)N+(Y)C

    2 31

    4

    [14]REMC

    10 20

    6

    7

  • 5

    in-cell NMR

    HSQC HN(CO)in-cell NMR

    (L)S57 8 HN(CO)BEST-HN(CO)

    in-cell NMR

    REMC

    63 REMC(L)S

    4

    NMRNMR

    NMR

    NMR4 2

    NOESY (Nuclear Overhauser Effect correlated SpectroscopY) 2

    6kl

    kl rI g=

    I NOE r g g

    3 1. NOE

    2. 3.

    SA 1. NOENOE

    r Ig

    2.

    3.

    1,500 10,000

    8 in-cell NMR

  • 6

    10-20 SA

    Nilges [15,16]

    (MCMC)

    NMR [17,18]

    ( ) ( ) ( )qqq DPPDP µ

    q D NMRNOE

    NOE Ikl k l2 5-6

    ( ) ( )Õ=

    =n

    iklikl ILIP

    1

    qq

    ( ) ÷÷ø

    öççè

    æ÷÷ø

    öççè

    æ-=

    µspsq kl

    kl

    kliI

    IIL 222 ln2

    1exp21

    n s µ

    m

    6/1

    1

    6-

    =

    -

    ÷÷ø

    öççè

    æ= å

    m

    jlk jj

    rr

    ( ) ( ) ( ) ( )gqsgqs PPPP =,, ( ) ( ) ( )( )qbbq EZP -= exp

    1

    [ ][ ]gg sµg

    s,~

    ,~LN

    baG

    P(q)

    Z b a b s g q

    MCMC MD

    MC MD [19] q MD s

    g

    [20]MD

    MC

  • 7

    MC ,

    9 NOESY (NOE

    ) 7

    . NOE NOE NMR

    NOE

    NOE

    NOENOE

    . MD AMBER

    (amber03) 2MD

    MC 300-400K 12

    97

    NOE

    10

    9 3

    10 ( ) ( )

    Root Mean Square Deviation (RMSD) 1.530.82

    10( ), ( ), ( )

    (aa). NOE( ) (bb) c

    13C, 15N, 13C-aromatic NOESYMC ( )(cc)

    9

  • 8

    NMR (in-cell NMR )

    ( 11,12). 11TTHA1718 GB1

    12 () GB1

    de novo

    11,12in vitro

    GB1TTHA1718

    NMRin vitro

    in-cell NMRin vitro

    ( ) in-cell NMR

    in vitro ( )

    in vitro.

    GB1RMSD

    1.76Å0.66Å

    pseudo-contact shift (PCS) paramagnetic relaxation enhancement (PRE) 30Å

    PCS 40Å

    PCS

    ( ) úûù

    êëé D+-D= fqcqc

    pd 2cos2sin

    2312cos3

    213 rhax

    PCS

    r

    dpcs PCS r, q, j, DcPCS

    NOErho

    13 in-cell NMR NOENOE

    100 13 100RMSD NOE

    11 ( )

    12 ( )NOESY (aa).

    GB1 (bb--dd). in vitro(ee). in vitro GB1 RMSD

    (f).

  • 9

    PCS RMSD100

    rho( )

    ( )( )

    RMSD 15.32 Å1.46 Å rho 15.28Å 1.52Å

    NOE

    NOEPCS

    NOE

    NMR

    NMR

    (in-cell NMR)

    References [1] J. C. J. Barna and E. D. Laue, J. Magn. Reson., 75:384-389 (1987). [2] P. Schmieder et al., J. Biomol. NMR, 4:483-490 (1994). [3] D. Rovnyak et al., J. Magn. Reson., 170:15-21 (2004). [4] K. Kazimierczuk and V. Y. Orekhov, Angew. Chem. Int. Ed., 50:5556-5559 (2011). [5] S. G. Hyberts et al., J. Biomol. NMR, 52:315-327 (2012). [6] M. Kainosho and T. Tsuji, Biochemistry, 21:6273-6279 (1982). [7] M. J. Parker et al., J. Am. Chem. Soc., 126:5020-5021 (2004). [8] F. Hefke et al., J. Biomol. NMR, 49:75-84 (2011). [9] I. Maslennikov et al., Proc. Natl. Acad. Sci. USA, 107:10902-10907 (2010). [10] F. Löhr et al., J. Biomol. NMR, 52:197-210 (2012). [11] P. S. Wu et al., J. Biomol. NMR, 34:13-21 (2006). [12] T. Kasai et al., J. Biomol. NMR, 63:213-221 (2015). [13] K. Nagata et al., Neural Netw., 28:82-89 (2012). [14] T. Kasai et al., J. Phys. Conf. Ser., 699:012003 (2016).

    14 rho

    13 PCS PRE

  • 10

    [15] W. Rieping, M. Habeck, M. Nilges, Science, 309:303-306 (2005). [16] M. Habeck, M. Nilges, W. Rieping, Phys Rev E, 72:031912-1-9 (2005). [17] T. Ikeya et al., J. Phys. Conf. Ser., 699:012003 (2016). [18] T. Ikeya et al., Sci. Rep. 6, 38312:1-11 (2016). [19] Yamashita, H., Endo, S., Wako, H., Kidera, A., Chem. Phys. Letter., 342:382-386 (2001). [20] Girolami, M., Calderhead, B., J. R., Statist. Soc. B, 73:123-214 (2011).