УПРАВЛЕНИЕ КОНТРАСТОМ И ИНФОРМАЦИОННЫЕ

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ISBN 5-8279-0058-3
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jZf_ljhf hij_^_eyxsbf khklhygb_ kibgh\hc kbkl_fu ihkdhevdm \g_
y\ghc aZ\bkbfhklb hl kljmdlmju hdjm`_gby hij_^_ey_l klZlbklbq_kdh_
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q_f gb`_ wg_j]_lbq_kdbc mjh\_gv l_f \ur_ \_jhylghklv gZoh`^_gby
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jZee_evghijbeh`_gghfmihexB0qlhkha^Z_lhlebqguchlgmeykmffZj
gucfZ]gblgucfhf_glb\jZ\gh\_kghfkhklhygbb\hagbdZ_lfZdjhkdh
ibq_kdZyy^_jgZygZfZ]gbq_gghklvM0 = N2 I(I + 1)(1 – 1)2 B0 /3kT]^_
N —dhebq_kl\hj_ahgbjmxsboy^_j\h[t_f_h[jZapZ
Ijbhldehg_gbbhllhqgh]hj_ahgZgkZdhg_p\_dlhjZ[m^_l^hihegbl_evgh
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oZjZdl_jbam_fu_ dhgklZglZfb T b T gZijZ\e_gu gZ \ha\jZs_gb_ \_d
lhjZgZfZ]gbq_gghklb\bkoh^gh_jZ\gh\_kgh_khklhygb_DhgklZgluTb
Thij_^_eyxl\j_f_gZ\hkklZgh\e_gbyijh^hevghcML bihi_j_qghcMT
gZfZ]gbq_gghkl_ckhhl\_lkl\_ggh
10
Fh^_ev;ehoZ<j_f_gZj_eZdkZpbbIhgylb_h\jZsZxs_c
kykbkl_f_dhhj^bgZl
>ey hibkZgby fZdjhkdhibq_kdhc y^_jghc gZfZ]gbq_gghklb qZklh bk
ihevam_lky\_dlhjgZyfh^_ev;ehoZKh]eZkghwlhcfh^_eb^\b`_gb_\_d
lhjZfZ]gblgh]hfhf_glZM = {Mx, My, Mz`aZ^Z_lky\g_rgbfihe_fBb
j_Zdpb_chdjm`_gbyR:
dM/dt = [MxB] – R (M – M0) ,
]^_R —fZljbpZ>x@bf_xsZyhlebqgu_hlgmeylhevdh^bZ]hgZevgu_
we_f_glu— 1/T2, 1/T2, 1/T1.
Ohly fh^_ev ;ehoZ g_ mqblu\Z_l \k_ lhgdhklb YFJ-ki_dljhkdhibb
hgZiha\hey_lgZ]ey^g__ij_^klZ\blvih\_^_gb_y^_jgh]hkibgZ\klZpbh
gZjghf khklhygbb i_j_oh^gu_ ijhp_kku \hagbdZxsb_ ijb \ha^_ckl\bb
JQiheyj_eZdkZpbhggu_ijhp_kku
<qZklghklb^eyjZkkfhlj_gbywnn_dlh\k\yaZgguok\ha^_ckl\b_f
JQiheyB1hkpbeebjmxs_]hkqZklhlhc&bgZijZ\e_ggh]hi_ji_g^bdm
eyjghihexB0m^h[ghkihfhsvxij_h[jZah\ZgbcMT = (Mx + iMy) e−iωt ,
ML = Mz]^_i —fgbfZy_^bgbpZi_j_clb\kbkl_fmdhhj^bgZldhlhjZy
\jZsZ_lky\hdjm]hkbzkwlhc`_qZklhlhc<wlhc\jZsZxs_ckykbkl_f_
dhhj^bgZlmjZ\g_gby;ehoZijbh[j_lZxlijhklhc\b^
dMT /dt = – (i û + 1/T2) MT + i ML 1,
dML /dt = – Im(MT) 1 – (ML – M0)/T1,
]^_ û = &0 – &, 1 = B1.
BawlbomjZ\g_gbc\qZklghklbke_^m_lqlh_keb\_dlhjgZfZ]gbq_g
ghklbi_j\hgZqZevghgZijZ\e_g\^hevhkbzlhih^\ha^_ckl\b_fJQ-ihey
hg [m^_l hldehgylvky d ihi_j_qghc iehkdhklb k m]eh\hc kdhjhklvx 1.
J_]bkljZpbykb]gZeZYFJ
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lblv qlh ihi_j_qgZy gZfZ]gbq_gghklv kha^Z_l hkpbeebjmxsbc fZ]gbl
gucihlhdkihkh[gucgZ\_klbw^k\ijh\hehqghcdZlmrd_Wlhk\hckl\h
bkihevam_lky \ ki_dljhf_ljZo YFJ ]^_ dZlmrdZ ki_pbZevguf h[jZahf
hjb_glbjh\ZggZybgZkljh_ggZykihfhsvxjZ^bhl_ogbq_kdbokj_^kl\gZ
eZjfhjh\mqZklhlmbkihevam_lkydZd^Zlqbdkb]gZeh\YFJ?kebhkvijb
_fghc dZlmrdb hjb_glbjh\ZgZ i_ji_g^bdmeyjgh hkb z lh fZdkbfZevguc
kb]gZe\lZdhcdZlmrd_\hagbdZ_lijbih\hjhl_\_dlhjZgZfZ]gbq_gghklb
hlghkbl_evghhkbzgZƒLZdhcih\hjhlfh`ghj_Zebah\ZlvJQbfimev
khf ijyfhm]hevghc nhjfu k ^ebl_evghklvxjZ\ghct = (Œ/2)/(B1LZdhc
\u\h^ kijZ\_^eb\ _keb gZ \j_fy ^_ckl\by JQ-bfimevkZ fh`gh ij_g_[
j_qvj_eZdkZpbhggufbijhp_kkZfbl_t << T2.
G_h^ghjh^gh_mrbj_gb_ebgbcki_dljZYFJ
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eu hl kibgh\ k jZagufb obfbq_kdbfbk^\b]ZfbHgbij_^klZ\eyxlkh
[hc ]Zjfhgbq_kdb_ kb]gZeu k jZagufb qZklhlZfb Zfieblm^Zfb baZlm
oZxsb_ k jZagufb kdhjhklyfb — \ aZ\bkbfhklb hl T Ihwlhfm kmf
fZjguc kb]gZe ij_^klZ\ey_l keh`gmx \j_f_ggmx nmgdpbx Gh ihke_
hpbnjh\db kb]gZeZ b _]h ihke_^mxs_c Nmjv_-h[jZ[hldb ihemqZ_lky
dZjlbgZki_dljZYFJ]^_jZkij_^_e_gb_qZklhlhljZ`Z_lkljmdlmjm\_
s_kl\ZjZkij_^_e_gb_Zfieblm^—hlghkbl_evguc\deZ^dZ`^h]hdhf
ihg_glZZrbjbgZebgbb—j_eZdkZpbhggu_oZjZdl_jbklbdbkj_^u
DZdihdZaZeZijZdlbdZg_kfhljygZl_ogbq_kdb_mkh\_jr_gkl\h\Zgby
\ ahg_ qm\kl\bl_evghklb ijb_fghc dZlmrdb g_\hafh`gh ^hklbqv Z[kh
exlghh^ghjh^gh]hiheyjbamxs_]hihey<j_amevlZl_^ZlqbdYFJj_]b
kljbjm_l kmffZjguc kb]gZe hl kibgh\ m dhlhjuo eZjfhjh\u qZklhlu
bf_xl g_h^ghjh^gh_ ijhkljZgkl\_ggh_ jZkij_^_e_gb_ <ke_^kl\b_ wlh]h
j_]bkljbjm_fu_ ki_dljZevgu_ ebgbb YFJ hdZau\Zxlky mrbj_ggufb
>hihegbl_evgh_g_h^ghjh^gh_mrbj_gb_ebgbc\hagbdZ_lba-aZl_fi_jZ
lmjgh]h^j_cnZihkdhevdmobfbq_kdbck^\b]aZ\bkblhll_fi_jZlmjuBa-
=eZ\Z
12
FZ]gblgh-j_ahgZgkgZylhfh]jZnby dZdnbabq_kdbcf_lh^bkke_^h\Zgby13
aZ g_h^ghjh^gh]h mrbj_gby mkdhjy_lky kiZ^ j_]bkljbjm_fhc kmffZjghc
\_ebqbgu ihi_j_qghc gZfZ]gbq_gghklb ihkdhevdm _]h khklZ\eyxsb_
jZkiheh`_ggu_ \ jZaguo qZklyo h[t_fZ h[jZapZ kh\_jrZxl ^\b`_gb_ k
jZagufb m]eh\ufb kdhjhklyfb Ijb jZkkfhlj_gbb j_eZdkZpbhgguo ijh
p_kkh\ \ g_h^ghjh^ghf fZ]gblghf ihe_ qZklh \f_klh T bkihevamxl iZ
jZf_lj T2* — wnn_dlb\gh_ \j_fy ihi_j_qghc j_eZdkZpbb ]^_ T2* =
1/T2 + 1/T2intijbq_fihke_^gbcqe_gkmffuhljZ`Z_lnZdlhju\ebyx
sb_gZg_h^ghjh^gh_mrbj_gb_ebgbcYFJ
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^_ckl\by m^h[gh ijhba\h^blv gZ ki_dljhf_ljZo YFJ \ukhdh]h jZaj_r_
gby<gZklhys__\j_fyjZajZ[hlZgh[hevrh_dhebq_kl\hbfimevkguof_
lh^bdiha\heyxsboihemqZlvg_lhevdhh[uqgu_ki_dljuYFJghbjZa
ebqgh]hjh^Z©hlj_^Zdlbjh\Zggu_ªki_dlju\dhlhjuoih^Z\e_gukb]gZ
euaZljm^gyxsb_jZkrbnjh\dmkeh`gh]hki_dljZ>@
Ki_dljhkdhibyYFJ\gZklhys__\j_fyy\ey_lkyjZa\bluff_lh^hf—
[eZ]h^Zjyijbf_g_gbxfZ]gblh\k\ukhdbfbiheyfb—Leb\ur_bk
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gbyijhly`_ggh]hh[t_dlZbgZebqb_fhkh[uolhdh\uodZlmr_dkihkh[
guo kha^Zlv ^hihegbl_evgh_ g_h^ghjh^gh_ fZ]gblgh_ ihe_ jbk <
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eh\ \h^u b `bjZ m^_eyxl hkh[h_ \gbfZgb_ ijb FJL-bkke_^h\Zgbb >@
>ey wlh]h bkihevamxl dZd qZklhlgh-k_e_dlb\gu_ f_lh^u lZd b f_lh^u
qm\kl\bl_evgu_d\j_f_gbj_eZdkZpbb
QZklhlgh-k_e_dlb\gh_ih^Z\e_gb_kb]gZeh\hl`bjh\hc
ldZgb
Ijbf_g_gb_ qZklhlgh-k_e_dlb\guo f_lh^h\ \hafh`gh [eZ]h^Zjy lh
fm qlh eZjfhjh\u qZklhlu \h^u b `bjZ ba-aZ jZagbpu \ obfbq_kdhf
k^\b]_hlebqZxlkygZf^^eyiheyLe—gZ=pIhwlhfmkih
fhsvx JQ bfimevkh\ k ]eZ^dhc h]b[Zxs_c b ih^h[jZgghc qZklhlhc aZ
iheg_gby fh`gh k_e_dlb\gh ih^Z\blv khhl\_lkl\mxsbc ibd Ijbf_gyy
wlhlijb_fijbFJL-kdZgbjh\Zgbbfh`ghihemqblvbah[jZ`_gbygZdh
lhjuohlkmlkl\mxlkb]gZeuhll_oldZg_\uodhfihg_glmdhlhjuoeZjfh
jh\Z qZklhlZ [ebadZ d qZklhl_ aZiheg_gby mdZaZgguo JQ bfimevkh\ >@
GZ jbkmgd_ ihdZaZg wnn_dl ijbf_g_gby obf k^\b]h\h]h ih^Z\e_gby
kb]gZeZ`bjZgZT<Bijbbkke_^h\Zgbb\bkhqghcdhklb
GZ jbk ke_\Z — h[uqgh_ T<B kijZ\Z — T<B k ih^Z\e_gb_f
kb]gZeZ `bjZ KhihklZ\b\ wlb ^\Z bah[jZ`_gby fh`gh ijbclb d \u\h^m
qlhbaf_g_gby\e_\hc\bkhqghcdhklbk\yaZgubf_gghk\hkiZebl_evguf
ijhp_kkhfZg_k`bjh\hc^_]_g_jZpb_c
Jbk Ih^Z\e_gb_kb]gZeZhl`bjh\hcldZgbijbbkke_^h\Zgbb\bkhqghcdhklb
QZklhlgh-k_e_dlb\gh_ih^Z\e_gb_kb]gZeh\fh`ghj_Zebah\ZlvlZd`_
kihfhsvxg_k_e_dlb\guobfimevkh\bkihevamywnn_dljZaghckdhjhklb
ih\hjhlZ \_dlhjh\ gZfZ]gbq_gghklb \ ihi_j_qghc iehkdhklb ^ey \h^u b
`bjZba-aZjZagbpu\obfbq_kdbok^\b]Zo>eylZdbof_lh^h\ijbf_gy_l
kyl_jfbg©nZah\Zyk_e_dpbyª>eyh[hagZq_gbyf_lh^h\ih^Z\e_gbykb]
gZeh\ hkgh\Zgguo gZ qZklhlgh k_e_dlb\ghf \ha^_ckl\bb ijbf_gy_lky
lZd`_ l_jfbg ©obf k^\b]h\h_ ih^Z\e_gb_ª beb Z[[j_\bZlmjZ CSS
(Chemical Shift Suppression).
Ijbf_g_gb_in vivoki_dljhkdhibb^eyFJL^bZ]ghklbdb
AZf_lbf qlh gZ FJ-lhfh]jZn_ h[uqgh ij_^mkfZljb\Z_lky \hafh`
ghklv ihemqZlv ki_dljuYFJ\ukhdh]hjZaj_r_gby;eZ]h^Zjybkihevah
\Zgbx]jZ^b_glguoihe_cbJQk_e_dlb\guobfimevkh\fh`gh\u^_eblv
^eyj_]bkljZpbbh[t_fg_h[oh^bfhc\_ebqbgubehdZebaZpbbijbg_h[
oh^bfhklbih^Z\blvfhsguckb]gZe\h^u<ihke_^gbojZajZ[hldZoij_
^mkfhlj_gZ Z\lhfZlbq_kdZy rbff-dhjj_dpby h^ghjh^ghklb ihey ^ey \u
[jZggh]hh[t_fZ>@<gZklhys__\j_fyFJ-ki_dljhkdhibyj_Zebam_fZy
gZlhfh]jZnZokihe_fLeb[he__\k_qZs_ijbf_gy_lky\^bZ]ghklb
q_kdhfbkke_^h\ZgbbgZijbf_jijbb^_glbnbdZpbbhimohe_\uoh[jZah
\Zgbc F_`^m l_f \hafh`ghklb ki_dljhkdhibq_kdbo bkke_^h\Zgbc bf_
xlky b ^ey kjZ\gbl_evgh keZ[hihevguo lhfh]jZnh\ — ihe_ Le beb
gb`_jbk
<jy^_kemqZ_\bf_xs_ckyqm\kl\bl_evghklbbjZaj_rZxs_ckihkh[
ghklb hdZau\Z_lky ^hklZlhqgh ^ey ^bklZgpbhggh]h [_kdhglZdlgh]h dheb
q_kl\_ggh]hZgZebaZ—hij_^_e_gbyhlghkbl_evgh]hkh^_j`Zgbyobfbq_
kdbo kh_^bg_gbc g_ hq_gv keh`ghc kljmdlmju ihkdhevdm agZy obfbq_
50
=eZ\Z
kdmxnhjfmemkh_^bg_gbcbbaf_jyybgl_]jZeuhlibdh\fh`ghhij_^_
eblvhlghkbl_evgh_kh^_j`Zgb_\h^ubjZkl\hj_ggh]h\_s_kl\Z
Ijbf_gbl_evgh d f_^bpbgkdhc ^bZ]ghklbd_ \_kvfZ ihe_aguf hdZaZ
ehkv baf_j_gb_ hlghkbl_evgh]h kh^_j`Zgby `bjZ b \h^u ijb bkke_^h\Z
gbbiha\hgdh\>@Bkke_^h\Zgb_wlh]hiZjZf_ljZ\^bgZfbd_iha\hey_l
\uy\blv ijh[e_fgu_ iha\hgdb m`_ gZ jZgg_c klZ^bb bo ^_]_g_jZpbb
jbk 31).
JbkKe_\Z—FJL-bah[jZ`_gby^\_ijh_dpbbaZi_qZlZgghc_fdhklbkh^_j
`Zs_cwlZghek^h[Z\e_gb_f\h^uKijZ\Zki_dljYFJhlkf3wlh]h\_s_kl\Z
MijZ\e_gb_FJL-dhgljZklhfijblbih\hfbkke_^h\Zgbb
51
Ih^Z\e_gb_kb]gZeh\ghjfZevghcldZgb
f_lh^hf©bg\_jkby–\hkklZgh\e_gb_ª
:evl_jgZlb\hc qZklhlgh-k_e_dlb\guf kihkh[Zfih^Z\e_gbykb]gZeh\
\h^ub`bjZy\eyxlkyf_lh^bdbihkljh_ggu_gZbkihevah\Zgbbwnn_dlZ
©bg\_jkby-\hkklZgh\e_gb_ª>@>eywlh]h\gZqZehkdZgbjmxs_cbf
imevkghcihke_^h\Zl_evghklb^h[Z\ey_lkyJQbfimevki_j_\h^ysbckib
gh\mx kbkl_fm ba jZ\gh\_kgh]h khklhygby \ bg\_jkgh_ ihke_q_]hgZqb
gZ_lky __ h[jZlgh_ \hkklZgh\e_gb_ Ihkdhevdm kdhjhklv \hkklZgh\e_gby
hij_^_ey_lky \j_f_g_f ijh^hevghc j_eZdkZpbb T dhlhjh_ jZaebqZ_lky
^ey jZaguo ldZg_c lh i_j_^ kqblu\Zgb_f kb]gZeZ ^h[Z\ey_lky iZmaZ TI
lZdqlh[ukqblu\Zgb_gZqZehkv\fhf_gli_j_oh^Zijh^hevghcgZfZ]gb
q_gghklb ldZgb k aZjZg__ hij_^_e_gguf \j_f_g_f T q_j_a gmev Ih
kdhevdmj_eZdkZpbyijhl_dZ_lihwdkihg_gpbZevghfmaZdhgmlh^eyi_j_
oh^ZgZfZ]gbq_gghklbhliheghcbg\_jkbbdgmexg_h[oh^bfhaZ^ZlvTI =
T1ln2 = 0.69.T>eyih^Z\e_gbykb]gZeh\\h^ubeb`bjZf_lh^hf©bg\_j
kby-\hkklZgh\e_gb_ªmqblu\ZxllhlnZdlqlhbo\j_f_gZj_eZdkZpbbkm
s_kl\_gghjZaebqZxlkyLZd\ihe_Le\j_fyT^ey`bjZkhklZ\ey_l
ihjy^dZ k Z ^ey \h^u — hl h^ghc ^h g_kdhevdbo k_dmg^ Khhl\_lkl
\mxsb_f_lh^bdbih^Z\e_gbykb]gZeh\`bjZb\h^uba\_klguih^Z[[j_
\bZlmjZfbSTIR (Short TI Inversion RecoverybFLAIR (Fluid Attenuated Inversion Recovery<gZklhys__\j_fyj_`bfFLAIR\k_qZs_\dexqZ_lky\
klZg^Zjlgh_ bkke_^h\Zgb_ ^ey ^bnn_j_gpbZpbb f_edbo dbkl hl mqZkldh\
]ebZevghcljZgknhjfZpbbDjhf_lh]h\j_`bf_FLAIRq_ldhhij_^_ey
xlky]jZgbpu`_em^hqdh\fha]ZbkiZcdb_keblZdh\u_bf_xlky\gmljb
gbojbk
JbkKi_dljuYFJbbobgl_]jZeu^eyghjfZevgh]hiha\hgdZke_\Zbiha\hg
dZ\klZ^bb^_]_g_jZpbbkijZ\Z
GZki_dlj_YFJibdbhlkb]gZeh\\h^ub`bjZe_`Zlkhhl\_lkl\_ggh
\h[eZklbb–f^EhdZebaZpbyj_]bkljbjm_fuoh[t_fh\h[hagZq_gZ
gZFJL-bah[jZ`_gbbd\Z^jZlbdZfbp_gljZevgucnjZ]f_gljbkmgdZKh
hlghr_gb_bgl_]jZeh\iha\hey_lhp_gblvhlghkbl_evgh_kh^_j`Zgb_\h^u
b`bjZ\iha\hgdZo
Jbk Ijbf_g_gb_ j_`bfZ FLAIR ^ey \uy\e_gby dbkl —- (B b \uy\e_gby
kiZcdb\gmljbaZ^g_]hjh]Ze_\h]h`_em^hqdZ— (DGZjbkAbDij_^klZ\e_gu
khhl\_lkl\mxsb_T<B
=eZ\Z
52
Ijb FJL-kdZgbjh\Zgbb ih fgh]hkj_ah\hc f_lh^bd_ ijbf_g_gb_ f_
lh^h\©bg\_jkby-\hkklZgh\e_gb_ªg_ijb\h^bldkms_kl\_gghfmm\_ebq_
gbx \j_f_gb kdZgbjh\Zgby ihkdhevdm \h \j_fy iZmau hl\_^_gghc gZ
\hkklZgh\e_gb_ijh^hevghcgZfZ]gbq_gghklbkdZgbjm_fh]hkj_aZijh\h
^blky kdZgbjh\Zgb_ khk_^gbo kj_ah\ Wlh \hafh`gh ihkdhevdm JQ bf
imevku \ha[m`^Zxsb_ kj_au qZklhlgh-k_e_dlb\gu_ >hihegbl_evgu_
j_a_j\u\khdjZs_gbb\j_f_gbkdZgbjh\Zgbyfh`ghgZclb\bkihevah\Z
gbb^eybg\_jkbbgZfZ]gbq_gghklbg_ƒZ[he__dhjhldbogZijbf_j
ƒ bfimevkh\ — q_f f_gvr_ m]he hldehg_gby gZfZ]gbq_gghklb l_f
f_gvr_\j_f_gblj_[m_lky^ey__h[jZlgh]h\hkklZgh\e_gby>@H^gZdh
\ wlhf kemqZ_ ihlj_[m_lky ijbgylv f_ju d ih^Z\e_gbx g_`_eZl_evghc
ihi_j_qghc gZfZ]gbq_gghklb gZijbf_j k ihfhsvx ^hihegbl_evgh]h
]jZ^b_glgh]hbfimevkZ
Bkihevah\Zgb_f_lh^bdbSTIR\ijZdlbd_FJLbkke_^h\Zgby
F_lh^ STIR >@ qZklh ijbf_gy_lky ijb bkke_^h\Zgbb ijb^Zlhqguo
iZamo ^ey \uy\e_gby ^_jfhb^guo dbkl jbk `bjh\uo h[jZah\Zgbc
ebihf jbk ^ey ^bnn_j_gpbZpbb baf_g_gbc \ dhklghc ldZgb gZ
ijbf_j \ \bkhqghc dhklb F_lh^ qZklh ijbf_gy_lky ijb bkke_^h\Zgbb
iha\hghqgbdZ[jxrghcihehklbfZeh]hlZaZkmklZ\h\
Jbk. <uy\e_gb_^_jfhb^ghcdbkluA — T<B—\ahg_f_`^mkl\hehffha]Z
bfha`_qdhf\uy\ey_lkyahgZbaf_g_ggh]hkb]gZeZB — FLAIR —ahgZiZlheh]bb
\u]ey^blyjq_ba-aZih^Z\e_gbyyjdbonhgh\uokb]gZeh\hlk\h[h^ghc`b^dhklb
C — STIR —aZf_lgh_kgb`_gb_kb]gZeZ\ahg_iZlheh]bb\wlhfj_`bf_mdZau\Z
_lgZ\ukhdh_kh^_j`Zgb_`bjZ\wlhcahg_qlhoZjZdl_jgh^ey^_jfhb^ghcdbklu
MijZ\e_gb_FJL-dhgljZklhfijblbih\hfbkke_^h\Zgbb
53
Jbk <uy\e_gb_ ebihfu A — 3D-j_g^_jbg] ih bgl_jihebjh\Zgguf kZ]bl
lZevgufkj_aZfhlT1GE. C —h[jZah\Zgb_\eh[gh-l_f_gghch[eZklbbf__lyjdbc
kb]gZeqlhoZjZdl_jgh^eyldZg_ckdhjhldbf\j_f_g_fT1. D —\j_`bf_STIRT2 (TI fkaZf_lghkgb`_gb_kb]gZeZ\ahg_iZlheh]bbqlhmdZau\Z_lgZ\u
khdh_kh^_j`Zgb_`bjZoZjZdl_jgh_^eyebihfu
GZ jbk ihdZaZgh ijbf_g_gb_ f_lh^Z STIR ^ey bkke_^h\Zgby ih
a\hghqgbdZGZ7<B\b^gu^\_ahguZghfZevgh]hih\ur_gbykb]gZeZ—
^bkdL5-Sbiha\hghd LGZT<BGEih\ur_gguckb]gZe\b^_glhevdh
^ey ahgu ^bkdZ L5-S qlh mdZau\Z_l gZ ijbkmlkl\bb \ ijbe_]Zxsbo d
^bkdmiha\hgdZoldZgbkdhjhldbf\j_f_g_fj_eZdkZpbbGZj_`bf_STIR
kb]gZehlahgu^bkdZL5-Sgbadbcqlhk\b^_l_evkl\m_lh`bjh\hc^_]_
g_jZpbb\wlhcahg_<lh`_\j_fy\ahg_iha\hgdZLkb]gZeih\ur_g—
wlh oZjZdl_jgh ^ey ldZgb k [hevrbf \j_f_g_f j_eZdkZpbb b y\ey_lky
ijbagZdhf \hkiZebl_evgh]h ijhp_kkZ Ihimlgh \ ih^dh`ghf `bjh\hf
keh_ \uy\ey_lky `b^dhklv k\yaZggZy k ijh\_^_gb_f h[_a[heb\Zxsbo
bgt_dpbc
Jbk >bnn_j_gpbZpby \hkiZebl_evguo baf_g_gbc b `bjh\hc ^_]_g_g_jZpbb
\iha\hgdZoA — T2<B, B — T1<B GE, C — STIR, D — MYUR
54
=eZ\Z
KhihklZ\b\T<BbSTIRgZjbkfh`gh\uy\blvgZebqb_`b^dhklb
\ fy]dbo ldZgyo kibgu Z lZd`_ ijbagZdb `bjh\hc ^_]_g_jZpbb \ ahg_
^bkdZL5-Sb\hkiZebl_evgh]hijhp_kkZ\ahg_iha\hgdZL1.
IZjZf_lj TI ijbf_gy_fuc \ f_lh^bd_ STIR ke_^m_l aZ^Z\Zlv k mq_
lhflh]hdZdZydhgdj_lgh`bjh\ZyldZgv^he`gZ[ulvih^Z\e_gZgZFJbah[jZ`_gbbWlhh[klhyl_evkl\hgZ^hbf_lv\\b^mihkdhevdm\g_dhlh
juokijZ\hqguoba^Zgbyoijb\h^ylkyj_eZdkZpbhggu_iZjZf_lju^ey`b
jh\hcldZgb[_amdZaZgbcgZlh^eydZdhcahgubebhj]ZgZwlb^Zggu_ba
f_jyebkvGZijbf_j \ qZklh pblbjm_fhc jZ[hl_ >@ ^ey `bjh\hc ldZgb
ijb\h^blkyagZq_gb_T fkihe_Le
Wlh^_ckl\bl_evghlZd_kebbf__lky\\b^mldZgv\h[eZklbhj[blqlh
fh`gh^hdZaZlvwdki_jbf_glZevghIjbijh\_^_gbbkdZgbjh\Zgbyihf_
lh^bd_STIR]^_TI = 0.69T ofk fkihemqbfbah[jZ
`_gb_ ijb\_^_ggh_ gZjbkBIjbwlhffh`ghaZf_lblvqlhih^dh`
guc`bj\h[eZklbh[hehq_dfha]Zmki_rg__ih^Z\ey_lkyijbTI fk
q_fmkhhl\_lkl\m_lT fk—jbkC.
JbkIjbf_g_gb_j_`bfZSTIRkjZaebqgufbiZjZf_ljZfbTIijbbkke_^h\Zgbb
]heh\gh]hfha]ZA — RARE-T2, B — STIR (TI = 80 fk), C — STIR (TI = 147 fk)
JbkIjbf_g_gb_j_`bfZSTIRkjZaebqgufbiZjZf_ljZfbTIijbbkke_^h\Z
gbbihq_dA — RARE-T2, B — STIR (TI = 80 fk), C — STIR (TI = 147 fk)
MijZ\e_gb_FJL-dhgljZklhfijblbih\hfbkke_^h\Zgbb
55
Hkh[_ggh aZf_lgh lh qlh T ^ey ih^dh`gh]h `bjZ ]hjZa^h [eb`_ d
fkq_fdfkijbbkke_^h\Zgbbhj]Zgh\aZ[jxrbggh]hijhkljZg
kl\Zjbk<wlhfkemqZ_wnn_dlih^Z\e_gbykb]gZeZih^dh`gh]h`bjZ
aZkq_lijbf_g_gbySTIRkiZjZf_ljhfTI fk^eyT fkijZd
lbq_kdbgbdZdg_\uy\ey_lkyjbkC<lh`_\j_fy^eyTI fkT1
fk ih^Z\e_gb_ kb]gZeh\ `bjZ ijhbkoh^bl agZqbl_evgh wnn_dlb\
g__—jbkB.
Hlf_lbfqlh\g_dhlhjuokemqZyof_lh^obfk^\b]h\h]hih^Z\e_gby
kb]gZeh\ `bjh\hc ldZgb hdZau\Z_lky ij_^ihqlbl_evg__ f_lh^bdb STIR.
GZijbf_j ijb FJL-bkke_^h\Zgbb k \\_^_gb_f dhgljZklbjmxs_]h iZjZ
fZ]gblgh]h \_s_kl\Z < wlhf kemqZ_ \hafh`gh khdjZs_gb_ \j_f_gb j_
eZdkZpbb bkke_^m_fhc ldZgb ^h lZdhc `_ \_ebqbgu dZd b ^ey `bjh\hc
ldZgb b \ j_amevlZl_ ijbf_g_gby f_lh^bdb STIR ihe_aguc kb]gZe hdZ
`_lkyih^Z\e_gguf\f_kl_kkb]gZehfhl`bjh\hcldZgb
Hkh[_gghklbijbf_g_gbyf_lh^bdbFLAIR^eyih^Z\e_gby
kb]gZeh\hlk\h[h^ghc`b^dhklb
Ijb bkihevah\Zgbb f_lh^Z FLAIR >@ ^ey bkke_^h\Zgby ]heh\gh]h
fha]Z ijhbkoh^bl ih^Z\e_gb_ kb]gZeh\ hl `_em^hqdh\ ]eZaguo y[ehd
km[ZjZoghb^ZevguoijhkljZgkl\\dexqZydhjdh\u_[hjha^uBa-aZwlh]h
gZ FJL-bah[jZ`_gbyo ij_h[eZ^Zxl mqZkldb agZqbl_evgh]h ihgb`_gby
kb]gZeZWlhg_\k_]^Zm^h[gh^eyhlke_`b\ZgbykeZ[uo\ZjbZpbcdhgljZ
klZ m iZlheh]bq_kdbo ldZg_c jZkiheh`_gguo \ ahg_ j_adh]h baf_g_gby
dhgljZklZ < wlhc k\yab ^ey emqr_c \bamZebaZpbb iZlheh]bq_kdbo baf_
g_gbcfh`ghj_dhf_g^h\Zlvg_ihegh_ZqZklbqgh_ih^Z\e_gb_kb]gZeh\
\h^u Ih^[hjhf iZjZf_ljZ TI aZ^Z\Z_fuf \ bfimevkghc ihke_^h\Zl_ev
ghklb FLAIR fh`gh ^h[blvky \ujZ\gb\Zgby ldZg_\h]h dhgljZklZ ^ey
ghjfZevguoldZg_c:bf_ggh^h[blvkyqlh[udhgljZklkibggh-fha]h\hc
`b^dhklb ebd\hjZ kh\iZe k dhgljZklhfeb[h[_eh]heb[hk_jh]h\_s_
kl\Z fha]Z IZjZf_lj TI fh`ghjZkkqblZlvaZjZg___kebba\_klguagZq_
gby ijhlhgguo iehlghkl_c b j_eZdkZpbhgguo iZjZf_lju mdZaZgguo ldZ
g_c^eydhgdj_lgh]hh[t_dlZbkke_^h\Zgby?kebhij_^_e_gb_wlboiZjZ
f_ljh\aZljm^g_ghlh\_ebqbgmTIke_^m_lih^h[jZlvwdki_jbf_glZevgh
GZ jbk ijb\_^_g ijbf_j FJL-bkke_^h\Zgby \ dhlhjhf j_rZeZkv
ih^h[gZy aZ^ZqZ Fh`gh aZf_lblv qlh iZlheh]bq_kdh_ h[jZah\Zgb_ —
dbklZ \ jZaguo j_`bfZo bf__l lhl `_ dhgljZkl qlh b ebd\hj Hg bf__l
\ukhdh_agZq_gb_gZT<Bbgbadh_—gZFLAIRkihegufih^Z\e_gb_f
kb]gZeZ ebd\hjZ < lhf kemqZ_ dh]^Z dhgljZkl ebd\hjZ kh\iZ^Z_l k dhg
ljZklhf[_eh]h\_s_kl\Zfha]ZgZb[he__hlq_leb\hhij_^_ey_lky]jZgbpZ
dbklu>eyihemq_gbyFJ-bah[jZ`_gbyklZdbfjZkij_^_e_gb_fldZg_\h]h
dhgljZklZ agZq_gb_ iZjZf_ljZ TI \ bfimevkghc ihke_^h\Zl_evghklb
56
=eZ\Z
FLAIR\Zjvbjh\Zehkv\ij_^_eZo-kWdki_jbf_glZevghhij_^_e_g
gh_hilbfZevgh_agZq_gb_TIkhklZ\behk
Jbk <bamZebaZpby ebd\hjghc dbklu ijb jZaebqguo iZjZf_ljZo TI j_`bfZ
FLAIR. A — T2<B, B — FLAIR(TI = 1.3 k), C — FLAIR (TI = 1.05 k), D — FLAIR
(TI = 1.8 k)
Jbk<bamZebaZpby`_em^hqdh\]heh\gh]hfha]ZijbgZebqbbbgl_jkl_gpbZev
gh]hhl_dZijb]b^jhp_nZebbA —h[uqgh_T<B^Ze__ahgZ`_em^hqdh\ij_^
klZ\e_gZ\m\_ebq_gghffZkrlZ[_^eyB — T<BC — FLAIR (TI fkD
— FLAIR (TI =fkGZbah[jZ`_gbbDbaf_g_gby\kl_gdZo`_em^hqdh\hi
j_^_eyxlkygZb[he__hlq_leb\h
>ey\ujZ\gb\ZgbydhgljZklZebd\hjZbk_jh]h\_s_kl\Zfha]Zfh`gh
ijbf_gblvFLAIRkm\_ebq_ggufagZq_gb_fTI —³^ebggucFLAIR” [38].
LZdhcj_`bffh`ghj_Zebah\Zlv_kebgZijbf_j^eyfZ]gblgh]hihey
LeaZ^ZlvTI kHkh[_gghklvw\hexpbbijh^hevghcgZfZ]gbq_gghklb
k\h[h^ghc`b^dhklb^eylZdh]hj_`bfZ\lhfqlhijhc^yq_j_agmevhgZ
qZklbqgh\hkklZgZ\eb\Z_lkydfhf_glmkqblu\Zgby<j_amevlZl_dhgljZkl
MijZ\e_gb_FJL-dhgljZklhfijblbih\hfbkke_^h\Zgbb
57
ebd\hjZ klZgh\blky [ebahd d dhgljZklm k_jh]h \_s_kl\Z fha]Z qlh
h[e_]qZ_lbkke_^h\Zgb_mqZkldh\\kl_gdZo`_em^hqdh\—jbk
LZdbfh[jZahf^ey\uy\e_gbyjy^ZiZlheh]bc`_eZl_evghh[_ki_qblv
g_ihegh_ih^Z\e_gb_kb]gZeh\hlghjfZevghcldZgbZlZdh_ijbdhlhjhf
\hagbdZ_l ^hklZlhqgh h^ghjh^gh_ [_a agZqbl_evguo baf_g_gbc ih yjdh
klbjZkij_^_e_gb_ldZg_\h]hdhgljZklZ\hdjm]ahguiZlheh]bb
F_lh^u ih^Z\e_gby kb]gZeh\ \h^u b `bjZ ihklhyggh kh\_jr_gkl\m
xlkyKj_^bkjZ\gbl_evghg_^Z\gh\hr_^rbo\ijZdlbdmFJLfh`ghhl
f_lblvdhf[bgbjh\Zggucf_lh^ih^Z\e_gbykb]gZeh\`bjZ\dhlhjhfbg
\_jkby gZfZ]gbq_gghklb j_Zebam_lky qZklhlgh-k_e_dlb\guf kihkh[hf f_lh^SPIR (Selective Presaturation Inversion Recovery>@IhkjZ\g_gbx
k STIR ^Zgguc f_lh^ ^Z_l f_gvr__ hkeZ[e_gb_ kb]gZeZ ^ey ldZg_c k
[hevrbfb\j_f_gZfbj_eZdkZpbbgh^eyj_ZebaZpbblj_[m_l\ukhdhch^
ghjh^ghklb fZ]gblguo ihe_c b lhqguo qZklhlguo gZkljh_d Ba-aZ wlbo
h]jZgbq_gbc _]h ijbf_g_gb_ h[uqgh h]jZgbqb\Z_lky ahgZfb g_[hevrhc
ijhly`_gghklb—gZijbf_jh[eZklvxhj[bl>@
=eZ\Z
58
Ih^Z\e_gb_kb]gZeh\\h^ub`bjZ\FJL-bkke_^h\Zgbyo
59
Hlf_lbfqlhj_`bfkh^gh\j_f_ggufih^Z\e_gb_fkb]gZeh\\h^ub
`bjZhdZaZekykj_^bgZb[he__bgnhjfZlb\guoj_`bfh\aZ^_ckl\h\Zgguo
^eynZdlhjgh]hZgZebaZ>@jZajZ[Zlu\Z_fh]h^eyZ\lhfZlbq_kdh]hjZk
ihagZ\ZgbyiZlheh]bq_kdbobaf_g_gbckljmdlmj]heh\gh]hfha]Z
=eZ\Z
H>GH<J?F?GGH?IH>:<E?GB?KB=G:EH<
<H>UB@BJ:<FJL-BKKE?>H<:GBYO
IjZdlbdZFJL-bkke_^h\ZgbcihdZaZeZqlhih^Z\e_gb_lhevdhh^gh]h
ldZg_\h]hdhfihg_glZg_\k_]^Zkha^Z_lmkeh\by^eygZ^_`gh]h\uy\e_gby
iZlheh]bq_kdbo baf_g_gbc b \h fgh]bo kemqZyo g_h[oh^bfh h[_ki_qb
\Zlvh^gh\j_f_ggh_ih^Z\e_gb_kb]gZeh\\h^ub`bjZWlhhkh[_gghZd
lmZevgh ijb bkke_^h\Zgbb h[eZkl_c ]^_ [ebadh khk_^kl\mxl `bjh\Zy
ldZgvbldZgvk[hevrbfkh^_j`Zgb_fk\h[h^ghc\h^ugZijbf_jh[eZk
lb hj[bl djZgbh-\_jl_[jZevgh]h i_j_oh^Z b ^j F_lh^u dhf[bgbjh\Zg
gh]h ih^Z\e_gby kb]gZeh\ \h^u b `bjZ ijbf_gyxlky ^ey bkke_^h\Zgby
hj[blZlZd`_\FJ-ki_dljhkdhibb>@
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ijbh^gh\j_f_gghfih^Z\e_gbbkb]gZeh\\h^ub`bjZ
GZrZijZdlbdZihdZaZeZ>–@qlhmijhs_gb_ldZg_\h]hdhgljZklZ
\hagbdZxs__ijbh^gh\j_f_gghfih^Z\e_gbbkb]gZeh\\h^ub`bjZih
e_agh ^ey \bamZebaZpbb g_ lhevdh hj[bl gh b h[hehq_d fha]Z \bkhqghc
dhklbfy]dhldZgguoh[jZah\ZgbcgZhkgh\Zgbbq_j_iZjbkHlkmlkl
\b_gZFJL-bah[jZ`_gbyobgl_gkb\guokb]gZeh\hl\h^ub`bjZkha^Z_l
[eZ]hijbylgu_ mkeh\by ^ey k_]f_glZpbb bah[jZ`_gby b ihke_^mxs_c
hp_gdb h[t_fZ ahgu iZlheh]bq_kdbo baf_g_gbc MijhsZ_lky aZ^ZqZ ih
kljh_gbylj_of_jghcj_dhgkljmdpbbiZlheh]bq_kdboh[jZah\Zgbchimoh
eb ]_fZlhfu f_lh^hf ijh_dpbb fZdkbfZevghc bgl_gkb\ghklb MIP
(Maximum Intensity Projection b h[t_fghc j_dhgkljmdpbb k hll_g_gb_f
ih\_joghkl_c— 3D-j_g^_jbg]Z>–51].
Jbk Ijbf_ju ijbf_g_gby j_`bfZ k h^gh\j_f_gguf ih^Z\e_gb_f kb]gZeh\
\h^u b `bjZ — gb`gbc jy^ A — ihklljZ\fZlbq_kdb_ \dexqZy h[hehq_qgu_
baf_g_gbyB —fy]dhldZgh_h[jZah\Zgb_\dhklbq_j_iZC—\bkhqgZydhklvb
baf_g_gby\h[hehqd_fha]Z<_jogbcjy^— AbB — T<BC — T<B
Fh^bnbdZpbyj_`bfZ FLAIR^eyqZklhlgh-k_e_dlb\gh]h
ih^Z\e_gby`bjh\hcldZgb
>eyh^gh\j_f_ggh]hih^Z\e_gbykb]gZeh\\h^ub`bjZfh`ghijbf_
gblvbfimevkgmxihke_^h\Zl_evghklvgZkljh_ggmxgZih^Z\e_gb_kb]gZ
eh\\h^uf_lh^hf©bg\_jkby-\hkklZgh\e_gb_ª\dhlhjmx^h[Z\e_gk_e_d
lb\gucbfimevkgZkusZxsbc`bjh\mxldZgv— SPIR/FLAIR>@H^gh
ba i_j\uo gZrbo gZ[ex^_gbc k bkihevah\Zgb_f ^Zggh]h ih^oh^Z [ueh
k\yaZgh k g_h[oh^bfhklvx mkljZg_gby Zjl_nZdlZ gZ FJL-bah[jZ`_gbyo
fha]ZgZdhlhjuogZdeZ^u\Zekykb]gZehlih^dh`gh]h`bjZba-aZg_klZg
^ZjlghcmdeZ^dbihegh]hiZpb_glZBa-aZlh]hqlh_]hjmdb[uebmeh`_
gu \[ebab]heh\ugZT<Bb\j_`bf_FLAIR\hagbdZeZjl_nZdl\h[
60
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eZklb aZluedZ jbk ;eZ]h^Zjy \\_^_gbx \ bfimevkgmx ihke_^h\Z
l_evghklvFLAIRbfimevkZgZkusZxs_]h`bj^Zggmxijh[e_fmm^Zehkv
j_rblvbihemqblvFJL-bah[jZ`_gbyk\h[h^gu_hlZjl_nZdlZ
Ih^Z\e_gb_kb]gZeh\\h^ub`bjZ\FJL-bkke_^h\Zgbyo
61
pbbhlebqgufhlgmey[m^_llhevdhkb]gZehlldZgbbf_xs_c\j_fyj_
eZdkZpbbThlebqgh_hlT1F,T1W.
RF
1800
1800
TF
TW
+1
M z/M 0
900
t
Fat
0
Water
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JbkIh^Z\e_gb_Zjl_nZdlZhl`bjh\hcde_lqZldb K
J_Zebah\ZggZygZfbihke_^h\Zl_evghklv[ebadZihk\h_cdhgp_ipbbd
f_lh^mSPIRohlybf_eZg_dhlhju_hkh[_gghklbdhlhju_[m^mlhlf_q_gu
\jZa^_e_
IjZdlbdZ ihdZaZeZ qlh qZklhlgh-k_e_dlb\gZy f_lh^bdZ h^gh\j_f_g
gh]h ih^Z\e_gby kb]gZeh\ \h^u b `bjZ g_ \k_]^Z jZ[hlZeZ wnn_dlb\gh
hkh[_gghijbbkke_^h\Zgbbhj]Zgh\k[hevrbf\deZ^hf`bjh\hcldZgb—
gZijbf_jiha\hghqgbdhj]Zgu[jxrghcihehklbIjbgZebqbb^Z`_g_
[hevrhc ijhkljZgkl\_gghc g_h^ghjh^ghklb dZd iheyjbamxs_]h lZd b
JQ-ihe_c wnn_dlb\ghklv f_lh^bdb kbevgh kgb`Z_lky qlh ijhy\ey_lky \
g_jZ\ghf_jghf ih^Z\e_gbb kb]gZeh\ `bjZ ih iehkdhklb bah[jZ`_gby
Ihwlhfm^eyh^gh\j_f_ggh]hih^Z\e_gbykb]gZeh\\h^ub`bjZfuij_^
ihqeb bfimevkgmx ihke_^h\Zl_evghklv hkgh\Zggmx gZ ^\hcghf bkihev
ah\Zgbbwnn_dlZ©bg\_jkby–\hkklZgh\e_gb_ªdZd[uh[t_^bgyxsmxf_
lh^bdbFLAIRbSTIRLZdZyihke_^h\Zl_evghklvijhs_\j_ZebaZpbbld
g_lj_[m_llhqguoqZklhlguogZkljh_d
H^gh\j_f_ggh_ih^Z\e_gb_kb]gZeh\\h^ub`bjZf_lh^hf
©bg\_jkby–\hkklZgh\e_gb_ª
;ueZj_Zebah\ZgZihke_^h\Zl_evghklvƒTIW – 80° – IF –kqblu\Zgb_
kb]gZeZ ]^_ aZ^_j`db TIF b TIW ih^h[jZgu lZdbf h[jZahf qlh[u ijh
^hevgu_gZfZ]gbq_gghklbdZd\h^ulZdb`bjZijhoh^beb\ijhp_kk_j_
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t
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Jbk>bZ]jZffZbfimevkghcihke_^h\Zl_evghklb\_jogyydjb\Zybw\hexpby
ijh^hevghcgZfZ]gbq_gghklb`bjZb\h^ugb`gb_djb\u_^eyihke_^h\Zl_evgh
klb180°–TIW–180°–TIF
JbkAZ\bkbfhklvkb]gZeZhlT^eyf_lh^bdhkgh\ZgguogZwnn_dl_©bg\_j
kby-\hkklZgh\e_gb_ª — A — STIR, B — FLAIR, C — ihke_^h\Zl_evghklv ƒ–
TIW–180°–TIF
Djb\Zy aZ\bkbfhklb kb]gZeZ hl T ijb\_^_gZ gZ jbk JZkq_l ^Zg
ghcdjb\hcijb\_^_g\>@
Hgijh\_^_g^ey\_dlhjghcfh^_eb;ehoZ\ij_^iheh`_gbbqlh^eb
l_evghklvbfimevkh\fZeZihkjZ\g_gbxkh\j_f_g_fj_eZdkZpbbTb\_
=eZ\Z
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ebqbghcû]^_û —^bZiZahgobfbq_kdbok^\b]h\ZqZklhlZaZiheg_gby
JQbfimevkZ[ebadZdeZjfhjh\hcIjbwlbomkeh\byofh`ghg_jZkkfZl
jb\Zlv ihi_j_qgu_ dhfihg_glu \_dlhjZ gZfZ]gbq_gghklb b \ dhg_qguc
j_amevlZlg_\hc^mliZjZf_ljuTbû.
<j_amevlZl_^eyT1F/T1W bf__f
SC(z) = |1 – 2(1 – exp(– (ln2/z)(1/k + 1))exp(– ln2/z)|,
]^_k = T1F/T1W, z = T1/T1F.Fh`ghaZf_lblvqlh]jZnbddjb\hcC[ebahd
d ]jZnbdm ihemqZ_fhfm i_j_fgh`_gb_f ]jZnbdh\ A b B, jZkkqblZgguo
^eyj_`bfh\STIRbFLAIRkhhl\_lkl\_ggh=jZnbdbAbBhibku\Zxl
kynhjfmeZfb
SA(z) = |1 – 2*exp(– (ln2)/z_bSB(z) = |1 – 2*exp(– (ln2)/kz)|,
khhl\_lkl\_ggh
AZf_lbfqlhijbjZkq_l_g_mqblu\Zehkv\ebygb_iZjZf_ljZTRl_
g_y\ghij_^iheZ]ZehkvTR >> T1F,T1Wbihlhfm^eyaZ^_j`_dTIWbTIFihemqbebkvijhklu_aZ\bkbfhklbhlT1FbT1WZbf_ggh
TIW = (T1F + T1W)ln2, TIF = T1F ln2.
Mq_l gZkus_gby kibgh\ ba-aZ dhg_qgh]h agZq_gby TR mkeh`gy_l jZkq_l
ghfZeh\eby_lgZdhg_qgucj_amevlZl
>bZiZahg agZq_gbc T \ ij_^_eZo dhlhjh]h djb\Zy SC kiZ^Z_l g_
[he__ q_f \ jZaZ ^hklZlhqgh rbjhd — ^ey iheyLehgaZgbfZ_l
h[eZklvijbf_jgh–kBf_ggh\wlhf^bZiZahg_e_`Zl\_ebqbgu
TijbgZ^e_`Zsb_jy^miZlheh]bq_kdbobaf_g_gbchqZ]b^_fb_ebgb
aZpbb ahgu hl_dZ djh\hbaebygby dZ\_jghagu_ Zg]bhfu g_dhlhju_
himohebb^jIhwlhfmijbh^gh\j_f_gghfih^Z\e_gbbkb]gZeh\\h^u
b `bjZ wlb iZlheh]bq_kdb_ h[jZah\Zgby \u]ey^yl gZb[he__ hlq_leb\h
gZ nhg_ ih^Z\e_gguo kb]gZeh\ hl ghjfZevguo kljmdlmj \ qZklghklb
kibggh-fha]h\hc`b^dhklbbih^dh`gh]h`bjZjbk
<j_f_gZ j_eZdkZpbb iZlheh]bq_kdbo dZd \ijhq_f b ghjfZevguo
h[jZah\Zgbc fh`gh hij_^_eblv ba\_klgufb \ FJL-j_eZdkhf_ljbb f_
lh^Zfbihkljh_gbydZjlijhkljZgkl\_ggh]hjZkij_^_e_gbyT1, T2.
>ey ihkljh_gby dZjlu T1 (T1-map fh`gh bkihevah\Zlv ^Zggu_ hl
bfimevkghc ihke_^h\Zl_evghklb jZ[hlZxs_c ih f_lh^bd_ ©gZkus_
gb_–\hkklZgh\e_gb_ª — 90°–TR–90°–FID beb ƒ–TR–90°–TE–FID \
dhlhjhc\Zjvbjm_lkyiZjZf_ljTRBf_ygZ[hjT1-<Bihemq_gguoijb
jZaebqguo agZq_gbyo TR fh`gh ihkljhblv bah[jZ`_gby ]^_ bgl_g
kb\ghklv dZ`^hc lhqdb gZijyfmx aZ\bkbl eb[h hl dhgp_gljZpbb ijh
lhgh\ M 0 eb[h hl T1 — (T1-dZjlZ JZkq_l T1-dZjlu ijh\h^blky ih
nhjfme_
M(TR) = M0exp(1 – A.exp{– TR/T1}).
Jbk <bamZebaZpby iZlheh]bq_kdbo baf_g_gbc gZ T<B \_jogbc jy^ b ijb
h^gh\j_f_gghfih^Z\e_gbbkb]gZeh\\h^ub`bjZgb`gbcjy^A —g_\jbghfZ
B —djh\hbaebygb_\hj[bl_K—jZkk_ygguckde_jhaD —^\mklhjhggyykm[^m
jZevgZy]_fZlhfZ
Jbk A — T<B B — dZjlZ ! — h[t_fghc iehlghklb j_ahgbjmxsbo y^_j
C — dZjlZ T ihemqZ_fZy f_lh^hf kibgh\h]h woZ ijb TE fk b TR f_gyx
s_fky\ij_^_eZohl^hfkD —dZjlZTihemqZ_fZyijbTEf_gyxs_f
kyhl^hfk
DZjlm T fh`gh lZd`_ ihemqblv ba wdki_jbf_glh\ ©bg\_jkby–
\hkklZgh\e_gb_ªƒ–TI–90°–FID]^_\Zjvbjm_lkyiZjZf_ljTIA^_kvkb]
gZeYFJaZ\bkblhlTIdZd
M(TI) = M0(1 – C.exp{– TI/T1}),
_kebihke_j_dhgkljmdpbbbgnhjfZpbyhnZa_kb]gZeZkhojZg_gZbeb
M(TI) = |M0(1 – C.exp{– TI/T1})|,
_keb^eyjZkq_lZdZjlubkihevam_lkyki_dljfhsghklb
64
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DZjlm T fh`gh ihemqblv ba wdki_jbf_glh\ ih kibgh\hfm woh Kb]
gZeu kibgh\h]h woZ \ha[m`^Z_fu_ \ bfimevkghc ihke_^h\Zl_evghklb
90°–TE–180°–TE–FIDkiZ^Zxlkh]eZkghnhjfme_
M(TE) = M0exp(–TE/T2).
Ihwlhfm bf_y gZ[hj T<B ihemq_gguo ijb jZaebqguo agZq_gbyo TE,
fh`gh ihkljhblv bah[jZ`_gby ]^_ bgl_gkb\ghklv dZ`^hc lhqdb aZ\bkbl
hl T2 — (T2-dZjlZ Ihkljhblv gZ[hj T<B ihemq_gguo ijb jZaebqguo
agZq_gbyoTEfh`ghaZh^bgi_jbh^TR_kebwohklbfmebjh\Zlvkihfh
svx i_jbh^bq_kdb aZimkdZ_fuo i_j_nhdmkbjmxsbo ƒ bfimevkh\ —
f_lh^bdZfmevlbwoh
<oh^_jZkq_lZT1-bT2-dZjldZdp_ggucih[hqgucj_amevlZlihemqZ
_lky dZjlZ jZkij_^_e_gby ! — h[t_fghc iehlghklb j_ahgbjmxsbo y^_j
jbk
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klZg^ZjlguoFJL-bah[jZ`_gbyo
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qZklhlgmx ihehkm ih^Z\e_gby =p ^ebl_evghklv fk ijb fhsghklb
i_j_^ZlqbdZ d<l k hkeZ[e_gbb_f – ^; MklZgh\dZ qZklhlu aZiheg_
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84
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[hevrbf \deZ^hf `bjh\hc ldZgb — gZijbf_j ijb bkke_^h\Zgbb iha\h
ghqgbdZ ijbf_g_gb_ ^Zgghc f_lh^bdb hdZau\Zehkv g_wnn_dlb\guf —
kl_i_gvih^Z\e_gby`bjZ^eyjZaguoh[eZkl_cahgukdZgbjh\Zgby[ueZg_
h^bgZdh\hc Ijbqbghc ih-\b^bfhfm y\ey_lky \ukhdZy qm\kl\bl_evghklv
qZklhlgh-k_e_dlb\guo f_lh^h\ d g_h^ghjh^ghklyf fZ]gblguo ihe_c b g_
^hklZlhqghlhqgu_j_amevlZlubaf_j_gbyeZjfhjh\hcqZklhluihemqZ_fu_
\ jZfdZo ijhp_^mju Z\lhfZlbq_kdhc gZkljhcdb Ih^h[gu_ ijh[e_fu bf_
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\oh^ys_c\khklZ\ijh]jZffgh]hh[_ki_q_gbylhfh]jZnZ
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dbTIW bebfk—^ey\h^ufk—^eykebabklhcTIF = 80
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gby<j_fykdZgbjh\Zgby^eydZ`^h]hpbdeZkt_fdbijbbkihevah\Zgbb
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djh\hbaebygbyhimohebfha]Z
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SIA/SINbldZg_\hcdhgljZkl— CIihhlghr_gbxdghjfZevgufldZgyf—
kibggh-fha]h\hc `b^dhklb [_ehfm \_s_kl\m fha]Z b `bjm ih nhjfme_
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gb\Z_fhcldZgbghjfZevghcldZgbbrmfZkhhl\_lkl\_gghMjh\_gvrm
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eyekylZd`_iZjZf_ljdhgljZklrmf— CNR (Contrast to Noise Ratiodh
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aZgguok]ebhaghcljZgknhjfZpb_c\Zah]_ggufhl_dhffha]ZbbgnZjd
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CI
CNR
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Ghjf
ldZgv
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FLAIR
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RARE
IR
RARE
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2.20
3.44
11.56
21.70
11.77
48.93
6,32
4,19
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1.14
0.44
1.51
24.31
10.35
11.99
18.48
19,32
7,02
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0.56
0.18
2.83
14.84
7.39
14.51
28.64
31,00
4,87
48.14
27,44
19,89
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LZ[ebpZAgZq_gbySNRZlZd`_iZjZf_ljh\CIbCNRhlghkbl_evghghjfZev
guoldZg_c^eybgnZjdlZfha]ZijbjZaguoj_`bfZokdZgbjh\Zgby
CI
CNR
SNR
Ghjf
ldZgv
T2Double T2Double T2Double
FLAIR
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–0,16
3,37
3,21
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27,81
17,63
50,32
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1,26
0,60
2,40
31,95
13,05
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0,45
3,55
23,64
10,50
18,87
19,2
4,84
2,86
50,14
30,42
16,37
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qb\Z_lkyg_[he__q_fgZ %.
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guo aZimkdh\ ij_^r_kl\mxsbo hkgh\ghfm pbdem kdZgbjh\Zgby J_amev
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DZd ihdZaZeb wdki_jbf_glu ^ey j_`bfZ k h^gh\j_f_gguf ih^Z\e_gb_f
kb]gZeh\ \h^u b `bjZ jZkrbj_gb_ ^bgZfbq_kdh]h ^bZiZahgZ ijb_fgbdZ
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guf ^ey ^bZ]ghklbdb kb]gZehf `bjZ Hlf_lbf lZd`_ qlh \f_klh FSE–
FLAIR \h fgh]bo kemqZyo ijbf_ju ijb\_^_gu \ ij_^u^msbo jZa^_eZo
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k^_eZlvkhihklZ\b\jZagbpm\dhgljZkl_^eybah[jZ`_gbcFSE–TbFSE–
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r_gb_njZdpbck\h[h^guobk\yaZgguoijhlhgh\wnn_dlb\gmxdhgklZg
lm kdhjhklb djhkk-j_eZdkZpbb \j_f_gZ ijh^hevghc b ihi_j_qghc j_eZd
kZpbb hl^_evguo njZdpbc Ba\_klgh ijbf_g_gb_ klZpbhgZjghc =ki_dljhkdhibb \ fZ]gblgh-j_ahgZgkghc fbdjhlhfh]jZnbb eZ[hjZlhjguo
`b\hlguodjukuin vivo [66].
IjbdeZ^ghc Zki_dl bamq_gby djhkk-j_eZdkZpbb \ [bheh]bq_kdbo h[t
_dlZo\hkgh\ghfk\yaZgkjZajZ[hldhcbhilbfbaZpb_cf_lh^bdfZ]gblghj_ahgZgkghclhfh]jZnbbFJLgZhkgh\_i_j_ghkZgZfZ]gbq_gghklbI_
j_ghkgZfZ]gbq_gghklb[ue\i_j\u_ij_^eh`_gdijbf_g_gbx\FJL>@
\ dZq_kl\_ kihkh[Z ihemq_gby ki_pbnbq_kdh]h dhgljZklZ bah[jZ`_gbc
ijbgpbibZevghhlebqZxs_]hkyhlljZ^bpbhgghbkihevam_fuolbih\dhg
ljZklZ hkgh\Zgguo gZ jZaebqbyo \j_f_g j_eZdkZpbb b iehlghklb ijhlh
gh\\[bheh]bq_kdboldZgyoWdki_jbf_glZevgh_gZ[ex^_gb_wnn_dlZi_
j_ghkZgZfZ]gbq_gghklbhkgh\ZghgZJQh[emq_gbbh[t_dlZbfimevkghf
beb g_ij_ju\ghf ijb ^hklZlhqgh [hevrhc hlkljhcd_ hl j_ahgZgkZ qlh
iha\hey_l ihemqblv qZklbqgh_ gZkus_gb_ gZfZ]gbq_gghklb k\yaZgguo
ijhlhgh\ ijb fbgbfZevghf \ha^_ckl\bb gZ gZfZ]gbq_gghklv k\h[h^guo
ijhlhgh\>@I_j_ghkgZkus_gby\ke_^kl\b_djhkk-j_eZdkZpbbijb
\h^bl d kgb`_gbx wdki_jbf_glZevgh baf_jy_fhcbgl_gkb\ghklbkb]gZeZ
k\h[h^guo ijhlhgh\ < gZklhys__ \j_fy ijbf_g_gb_ i_j_ghkZ gZfZ]gb
q_gghklb\FJL\hkgh\ghfh]jZgbqb\Z_lkyaZ^ZqZfbmemqr_gbydhgljZ
klZ bah[jZ`_gbc \ g_dhlhjuo ki_pbZevguo f_lh^bdZo \j_fyijhe_lgZy
Zg]bh]jZnby >@ FJL k dhgljZklguf mkbe_gb_f >@ ih\ur_gb_ dhg
ljZklZ f_`^m`b^dhklvxbojys_\hcldZgvx\ihke_^h\Zl_evghklyo]jZ
98
=eZ\Z
^b_glgh]hwoZijbbkke_^h\ZgbbkmklZ\h\biha\hghqgbdZ>@I_jki_d
lb\guf gZijZ\e_gb_f bkke_^h\Zgbc y\ey_lky ihemq_gb_ dhebq_kl\_gguo
oZjZdl_jbklbdghjfZevguobiZlheh]bq_kdboldZg_cin vivogZhkgh\_i_
j_ghkZ gZfZ]gbq_gghklb ihkdhevdm ij_^iheZ]Z_lky qlh wnn_dlb\ghklv
i_j_ghkZ gZfZ]gbq_gghklb ^he`gZ [ulv \_kvfZ qm\kl\bl_evgZ d iZlheh
]bq_kdbfbaf_g_gbyf[bhihebf_jh\bde_lhqguof_f[jZg
< gZklhys__ \j_fy dhebq_kl\_ggZy hp_gdZ wnn_dlZ i_j_ghkZ gZfZ]
gbq_gghklb ijh\h^blky ijb ihfhsb hlghr_gby i_j_ghkZ gZfZ]gbq_ggh
klbMTR) [77]:
MTR = ( S 0 − S mt ) S 0
(1)
]^_S0bSmt —bgl_gkb\ghklbFJ-kb]gZeZkhhl\_lkl\_ggh\hlkmlkl\bbb
ijbkmlkl\bb \g_j_ahgZgkgh]h gZkus_gby DZd ihdZaZe jy^ debgbq_kdbo
bkke_^h\Zgbc >–@ agZq_gby MTR y\eyxlky i_jki_dlb\guf bklhqgb
dhf^bZ]ghklbq_kdhcbgnhjfZpbbijbiZlheh]byo]heh\gh]hfha]Z\qZ
klghklb ijb himoheyo > @ b ^_fb_ebgbabjmxsbo aZ[he_\Zgbyo >
@Kms_kl\_ggh_ aZljm^g_gb_ \ dhebq_kl\_gghc FJL k i_j_ghkhf gZ
fZ]gbq_gghklb h[mkeh\e_gh l_f qlh \_ebqbgu MTR \ agZqbl_evghc kl_
i_gbih^\_j`_gu\ebygbxZiiZjZlmjguonZdlhjh\iZjZf_ljubfimevk
ghc ihke_^h\Zl_evghklb fhsghklv b ^ebl_evghklv JQ gZkus_gby >@
G_kfhljy gZ ihiuldb klZg^ZjlbaZpbb f_lh^bdb >@ khihklZ\e_gb_ j_
amevlZlh\jZaebqguo]jmiiy\ey_lky\_kvfZijh[e_fZlbqgufba-aZl_ogh
eh]bq_kdbo hlebqbc bfimevkguo ihke_^h\Zl_evghkl_c k i_j_ghkhf gZ
fZ]gbq_gghklbihklZ\ey_fuojZagufbnbjfZfb-ijhba\h^bl_eyfb\dhf
ie_dlZoijh]jZffgh]hh[_ki_q_gbyFJ-lhfh]jZnh\
IjbieZgbjh\Zgbbwdki_jbf_glh\ihFJLkbkihevah\Zgb_fwnn_dlZ
i_j_ghkZgZfZ]gbq_gghklb\dhlhjuoij_^iheZ]Z_lkyihemqblvdhebq_kl
\_ggu_ hp_gdb [bhnbabq_kdbo ijhp_kkh\ baf_j_gb_ \_ebqbgu MTR g_
^hklZlhqgh Wlh k\yaZgh g_ lhevdh k ZiiZjZlmjgufb ijh[e_fZfb gh b
l_fqlhwlZ\_ebqbgZkeh`gufh[jZahfaZ\bkblhlkljmdlmjguoiZjZf_l
jh\ — khhlghr_gby njZdpbc kdhjhklb djhkk-j_eZdkZpbb b li <hafh`
gufj_r_gb_f^Zgghcijh[e_fuy\ey_lkyhij_^_e_gb_gZb[he__\Z`guo
ldZg_-ki_pbnbqguoiZjZf_ljh\bjZajZ[hldmf_lh^bdbobaf_j_gbyf_lh
^Zfb FJL k bkihevah\Zgb_f ijb_fh\ Zijh[bjh\Zgguo \ =ki_dljhkdhibb H^gZdh ijyfh_ ijbf_g_gb_ f_lh^bd jZa\bluo \ =ki_dljhkdhibb \ h[eZklv FJL q_eh\_dZ k\yaZgh k k_jv_agufb wdki_jb
f_glZevgufb b l_hj_lbq_kdbfb ijh[e_fZfb IjbgpbibZevgh_ jZaebqb_
f_`^ml_ogbdhcwdki_jbf_glZ\=-ki_dljhkdhibbbFJLki_j_ghkhfgZ
fZ]gbq_gghklb aZdexqZ_lky \ lhf qlh \ FJL ijZdlbq_kdb g_\hafh`gh
^hklb`_gb_klZpbhgZjgh]hkhklhygbygZfZ]gbq_gghklbdhlhjh_y\ey_lky
g_h[oh^bfufmkeh\b_f\=-ki_dljhkdhibb>ey^hklb`_gbyklZpbhgZjgh
BfimevkgZydjhkk-j_eZdkZpbhggZyki_dljhkdhiby
99
]h khklhygby \ =-ki_dljhkdhibb ijbf_gy_lky JQ h[emq_gb_ \ l_q_gb_ –
5 k^eydZ`^h]hpbdeZbfimevkghcihke_^h\Zl_evghklbLZdb_\j_f_ggu_
iZjZf_ljug_ijb_fe_fu^eyFJL`b\uoh[t_dlh\ihkdhevdmijb\h^yld
kebrdhf [hevrhc ^ebl_evghklb wdki_jbf_glZ Djhf_ lh]h ^ebl_evgh_
g_ij_ju\gh_JQ\ha^_ckl\b_g_^himklbfh\FJLq_eh\_dZbf_xs_c^hk
lZlhqgh`_kldb_h]jZgbq_gbyihih]ehsZ_fhch[t_dlhffhsghklbJQih
eyIhwlhfm\kh\j_f_gghcFJLki_j_ghkhfgZfZ]gbq_gghklbbkihevam
_lkybfimevkgh_\g_j_ahgZgkgh_gZkus_gb_>@H[uqghijbf_gyxlgZ
kusZxsb_ JQ bfimevku ^ebl_evghklvx g_ [he__ – fk ijb h[s_c
^ebl_evghklb pbdeZ bfimevkghc ihke_^h\Zl_evghklb TR = 40– fk
>ey hibkZgby wdki_jbf_glZevgh ihemqZ_fuo ZgZeh]h\ Z-ki_dljh\ lj_[m
_lky hkh[uc fZl_fZlbq_kdbc ZiiZjZl ihkdhevdm a^_kv g_evay bkihevah
\Zlvj_amevlZluZgZebaZijh\_^_ggh]h^eyklZpbhgZjgh]hJQgZkus_gby
Hkh[_gghklvxlhfh]jZnbq_kdh]hkdZgbjh\Zgbyy\ey_lky\hafh`ghklv
[ukljh]hih\lhj_gbybfimevkghcihke_^h\Zl_evghklbTR << L 1, L2qlh
kihkh[kl\m_l j_ZebaZpbb lg bfimevkgh]h klZpbhgZjgh]h khklhygby oZ
jZdl_jbamxs_]hky gme_\uf kmffZjguf ijbjZs_gb_f \_dlhjZ gZfZ]gb
q_gghklb\l_q_gb_ihegh]hpbdeZbfimevkghcihke_^h\Zl_evghklbLZdZy
kblmZpbybf__lf_klh\[ukljuobfimevkguoihke_^h\Zl_evghklyo]jZ^b
_glgh]h woZ ^ey FJL qZklh ijbf_gy_fuo \ dhf[bgZpbb k bfimevkghc
l_ogbdhc i_j_ghkZ gZfZ]gbq_gghklb >Zevg_cr__ jZa\blb_ dhebq_kl\_g
guoih^oh^h\\FJLki_j_ghkhfgZfZ]gbq_gghklbk\yaZghkjZajZ[hldhc
fZl_fZlbq_kdbofh^_e_ci_j_ghkZgZfZ]gbq_gghklb\mkeh\byobfimevk
gh]hklZpbhgZjgh]hkhklhygby<jZ[hl_>@[ueijh\_^_gl_hj_lbq_kdbc
ZgZeba ^ey b^_Zebabjh\Zggh]h kemqZy i_jbh^bq_kdb ih\lhjyxsboky dh
jhldbo\g_j_ahgZgkguogZkusZxsbobfimevkh\ghijbwlhfg_[uehmq
l_gh \ha^_ckl\b_ kqblu\Zxs_]h bfimevkZ bf_xs__ f_klh \ j_Zevguo
bfimevkguoihke_^h\Zl_evghklyo
< jZ[hl_ >@ ij_^klZ\e_gZ l_hjby djhkk-j_eZdkZpbhgghc ^bgZfbdb
gZfZ]gbq_gghklb \ mkeh\byo bfimevkgh]h klZpbhgZjgh]h khklhygby ^ey
bfimevkghc ihke_^h\Zl_evghklb ]jZ^b_glgh]h woZ GZ hkgh\Zgbb ^Zgghc
l_hjbb [ue ij_^eh`_g gh\uc wdki_jbf_glZevguc f_lh^ bfimevkghc
djhkk-j_eZdkZpbhgghcki_dljhkdhibbbihdZaZgZ\hafh`ghklv_]hijbf_
g_gby\debgbq_kdhcFJ-lhfh]jZnbbq_eh\_dZ
L_hjby
>bgZfbdZ gZfZ]gbq_gghklb \ kbkl_fZo djhkk-j_eZdkZpbhggh k\yaZg
guokibgh\hibku\Z_lkymjZ\g_gbyfb;ehoZ\fh^bnbdZpbbFZdDhgg_eZ
>@mqblu\Zxsbfbh[f_gf_`^mZ-dhfihg_glZfbgZfZ]gbq_gghklb>ey
=eZ\Z
100
kemqZy^\monjZdpbck\h[h^guobk\yaZgguoijhlhgh\kbkl_fZmjZ\g_gbc
;ehoZ–FZdDhgg_eZbf__l\b^
dM XF /dt = − R2F M XF + 2ŒûM YF ,
dM YF /dt = −2 ŒûM XF − R2F M YF + &1M ZF ,
dM ZF / dt = −ω1M YF − ( R1F + k )M ZF + k f M ZB + R1F M 0 ,
dM XB /dt = − R2B M XB + 2ŒûM YB ,
dM YB /dt = −2ŒûM XB − R2B M YB + &1M ZB ,
dM ZB / dt = −ω1M YB − ( R1B + k f )M ZB + kM ZF + R1B fM 0 ,
(2)
(3)
BfimevkgZydjhkk-j_eZdkZpbhggZyki_dljhkdhiby
101
b tr khhl\_lkl\_gghGZkusZxsbcbfimevkbkihevam_lky^eybg^mpbjh\Z
gby i_j_ghkZ gZfZ]gbq_gghklb b bf__l hlkljhcdm ∆ Kqblu\Zxsbc bf
imevk nhjfbjm_l ihi_j_qgmx gZfZ]gbq_gghklv baf_jy_fmx \ \b^_ kb]
gZeZ]jZ^b_glgh]hwoZbijbf_gy_lkygZj_ahgZgkghcqZklhl_∆ Hl
f_lbfqlhihhdhgqZgbbbgl_j\Zeh\\j_f_gbtm b tr^eymkljZg_gbyhklZ
lhqguo ihi_j_qguo dhfihg_gl gZfZ]gbq_gghklb ijbf_gyxlky bfimevk
gu_\dexq_gby]jZ^b_glguofZ]gblguoihe_c]jZ^b_glguckihcebg]
(4)
(5)
(6)
(7)
F,B
]^_ M X,Y,Z
— X-, Y- b Z-dhfihg_glu gZfZ]gbq_gghklb k\h[h^guo F b
k\yaZgguo B ijhlhgh\ R1F,B = 1/T1F,B , R2F,B = 1/T2F,B — kdhjhklb ijh
^hevghcbihi_j_qghcj_eZdkZpbb ∆ = ν − ν 0 —hlkljhcdZJQiheyhlj_
ahgZgkZ ν 0 —eZjfhjh\ZqZklhlZh^bgZdh\Zy^eyk\h[h^guobk\yaZgguo
ijhlhgh\ ω1 = γB1 —Zfieblm^ZJQihey\ujZ`_ggZy\_^bgbpZoqZklhlu
(γ— ]bjhfZ]gblgh_ hlghr_gb_ f — fheyjgh_ hlghr_gb_ njZdpbc k\h
[h^guo b k\yaZgguo ijhlhgh\ k — wnn_dlb\gZy dhgklZglZ kdhjhklb
djhkk-j_eZdkZpbb n_ghf_gheh]bq_kdb hibku\ZxsZy \deZ^u y^_jgh]h
wnn_dlZH\_joZma_jZbobfbq_kdh]hh[f_gZM0 —jZ\gh\_kgZygZfZ]gb
q_gghklv njZdpbb k\h[h^guo ijhlhgh\ JZ\gh\_kgZy gZfZ]gbq_gghklv
k\yaZgguo ijhlhgh\ M 0B \ mjZ\g_gbb \ujZ`_gZ q_j_a \_ebqbgu f b
M0: M 0B = f M0.
GZ hkgh\_ mjZ\g_gbc – jZkkfhljbf bfimevkgh_ klZpbhgZjgh_
khklhygb_ \hagbdZxs__ \ j_amevlZl_ ih\lhjyxs_]hky \ha^_ckl\by bf
imevkghc ihke_^h\Zl_evghklb ]jZ^b_glgh]h woZ k \g_j_ahgZgkguf bf
imevkhf^eyi_j_ghkZgZfZ]gbq_gghklbjbkH^bgpbdebfimevkghc
ihke_^h\Zl_evghklb fh`gh jZa^_eblv gZ \j_f_gguo bgl_j\ZeZ gZku
sZxsbc bfimevk aZ^_j`dZ ^ey \dexq_gby hqbsZxs_]h ]jZ^b_glZkqb
lu\Zxsbcbfimevkbj_eZdkZpbhggZyaZ^_j`dZk^ebl_evghklyfbtm, ts, tp,
Jbk>bZ]jZffZbfimevkghcihke_^h\Zl_evghklb]jZ^b_glgh]hwoZki_j_ghkhf
gZfZ]gbq_gghklb
>ey \u\h^Z mjZ\g_gbc hibku\Zxsbo gZfZ]gbq_gghklv \ mkeh\byo
bfimevkgh]h klZpbhgZjgh]h khklhygby jZkkfhljbf hl^_evgh ^bgZfbdm
ijh^hevguo dhfihg_gl gZfZ]gbq_gghklb\l_q_gb_i_j_qbke_gguo\ur_
hlj_adh\ \j_f_gb <\_^_f \_dlhju Mm, Ms, Mp b Mr khklhysb_ ba Zdhfihg_glgZfZ]gbq_gghklbk\h[h^guobk\yaZgguoijhlhgh\ihhdhgqZ
gbbbgl_j\Zeh\tm, ts, tpb tr:
 M F ( t = ti )
M i =  ZB
,
 M Z ( t = ti )
i = m, s , p , r .
=eZ\Z
102
<hlkmlkl\b_JQihe_cbgl_j\Zeu\j_f_gb tsb trw\hexpbyijh^hev
guodhfihg_glg_aZ\bkbfZhlihi_j_qguobhibku\Z_lkymjZ\g_gbyfb
b ijb ω1 = 0 J_r_gby^eygZqZevguomkeh\bckhhl\_lkl\mxsbokh
klhygbxgZfZ]gbq_gghklbihke_gZkusZxs_]hbkqblu\Zxs_]hbfimev
kh\ts = 0, Ms(0) = Mm b tr = 0, Mr(0) = Mpfh`ghaZibkZlv\fZljbqghf
\b^_
M s = exp(Rt s )⋅ M m + (I − exp(Rt s ))⋅ M 0 ,
(8)
M r = exp(Rt r )⋅ M p + (I − exp(Rt r ))⋅ M 0 ,
(9)
]^_R —j_eZdkZpbhggZyfZljbpZ
− R F − k
R= 1
k

BfimevkgZydjhkk-j_eZdkZpbhggZyki_dljhkdhiby
(
)
dM ZB / dt = − R1B + k f + RrfB M ZB + kM ZF + R1B fM 0 ,
103
(11)
]^_ RrfB — kdhjhklv ml_qdb ijh^hevghc gZfZ]gbq_gghklb k\yaZgguo kib
gh\ih^^_ckl\b_fJQh[emq_gby
RrfB =
ω12T2B
(2πûT ) + 1
B 2
2
.
(12)
MjZ\g_gby b ihemq_gu gZ hkgh\_ klZpbhgZjgh]h ijb[eb`_
gby^eyihi_j_qguodhfihg_glk\yaZgguoijhlhgh\dhlhjh_\uihegy_l
ky_keb T2B << t m >Zggh_mkeh\b_kijZ\_^eb\h^ey[hevrbgkl\Z[bheh]b
q_kdbofZl_jbZeh\ T2B hl^hfdkbJQbfimevkh\ijbf_gy_fuo\

k/ f
 ;
B
− R1 − k / f 
FJLtmh[uqgh\ij_^_eZo–fk
G_h[oh^bfh hlf_lblv qlh iZjZf_lj RrfB g_ihkj_^kl\_ggh k\yaZg k
M0 —\_dlhjjZ\gh\_kghcgZfZ]gbq_gghklb
1
M0 = M 0   ;
f
nhjfhcebgbbih]ehs_gbyk\yaZgguokibgh\ g( 2π∆ ) [5,6]:
I —_^bgbqgZyfZljbpZMjZ\g_gbybhibku\Zxl^\mowdkihg_gpb
Zevgmx j_eZdkZpbx ijh^hevguo dhfihg_gl k dhgklZglZfb kdhjhklb hi
j_^_ey_fufbkh[kl\_ggufbagZq_gbyfbfZljbpuR.
L_hj_lbq_kdh_ hibkZgb_ ^_ckl\by gZkusZxs_]h bfimevkZ gZ kibgh
\mxkbkl_fm\h[s_fkemqZ_lj_[m_lj_r_gbymjZ\g_gbckbkl_fu–(7)
bg_fh`_l[ulv\ujZ`_ghZgZeblbq_kdbH^gZdh\hafh`ghkms_kl\_ggh
mijhklblv fZl_fZlbq_kdh_ hibkZgb_ _keb ij_g_[j_qv g_ihkj_^kl\_gguf
\ebygb_f JQ \ha^_ckl\by gZ gZfZ]gbq_gghklv k\h[h^ghc njZdpbb >ey
wlh]h \ oh^_ wdki_jbf_glZ g_h[oh^bfh aZ^Zlv ^hklZlhqgh [hevrmx hl
kljhcdm b gbadmx fhsghklv JQ ihey < wlhf kemqZ_ ihi_j_qgu_ dhfih
g_glugZfZ]gbq_gghklbk\h[h^guoijhlhgh\\uiZ^ZxlbamjZ\g_gbc–
qlh iha\hey_l kgbablv jZaf_jghklv kbkl_fu k ^h L_hj_lbq_kdbc
ZgZeba>@bqbke_ggh_fh^_ebjh\Zgb_>@bfimevkgh]hi_j_ghkZgZfZ]
gbq_gghklbijb^Zgghfij_^iheh`_gbbihdZaZebqlh^bgZfbdZgZfZ]gb
q_gghklb\l_q_gb_gZkusZxs_]hbfimevkZk\ukhdhclhqghklvxhibku
\Z_lkywnn_dlb\gufbmjZ\g_gbyfb^eyijh^hevguodhfihg_gl
<ujZ`_gb_ khhl\_lkl\m_l ehj_gp_\hcnhjf_ebgbbbke_^m_lba
klZpbhgZjgh]hj_r_gbymjZ\g_gbc;ehoZ:evl_jgZlb\gu_nmgdpbbnhj
fuebgbbwfibjbq_kdbijbf_gy_fu_\YFJmihjy^hq_gguokj_^lZd`_
fh`gh\\_klb\bke_^h\Zl_evgh\mjZ\g_gb_<qZklghklb\klZ
pbhgZjghc =-ki_dljhkdhibb [bheh]bq_kdbo fZl_jbZeh\ bkihevah\Zebkv
]Zmkkh\Z>@
(
)
dM ZF / dt = − R1F + k M ZF + k f M ZB + R1F M 0
RrfB = ω12 πg( 2π∆ ) .
(10)
(
(13)
)
2
T2B
 1
exp − 2π∆T2B 
π
 2

(14)
2
 
2π∆T2B  

exp − 2
 sinθdθ
| 3cos 2 θ − 1 |
  3cos 2 θ − 1  


(15)
g (2π∆ ) =
bkmi_jehj_gp_\Z>@
g( 2π∆ ) =
2
π
π2
∫
0
T2B
nhjfu ebgbb Nmgdpby dZd [ueh ihdZaZgh ^ey jy^Z [bheh]bq_kdbo
ldZg_cin vitro [64] b\_s_kl\Zfha]Zdjukuin vivo>@h[_ki_qb\Z_lemq
rmx ZiijhdkbfZpbx wdki_jbf_glZevguo ^Zgguo q_f ehj_gp_\Z b ]Zmk
=eZ\Z
104
kh\Z nhjfu ebgbb >Zggh_ h[klhyl_evkl\h h[mkeh\beh \u[hj kmi_jeh
j_gp_\hcnhjfuebgbb\gZklhys_cjZ[hl_h^gZdh\hafh`ghg_h[oh^b
fh^Zevg_cr__bamq_gb_\hijhkZh[hilbfZevghcnhjf_ebgbbk\yaZgguo
ijhlhgh\ \ dhgl_dkl_ bkke_^h\Zgbc gZ q_eh\_d_ in vivo k ijbf_g_gb_f
ij_^eh`_ggh]hf_lh^Zbfimevkghcdjhkk-j_eZdkZpbhgghcki_dljhkdhibb
FZljbqgh_j_r_gb_kbkl_fumjZ\g_gbc^eybgl_j\ZeZ\j_
f_gb
tmbgZqZevguomkeh\bctm = 0, Mm(0) = Mrbf__l\b^
(
)
(
(
))
M m = exp R rf t m ⋅ M r + I − exp R rf t m ⋅ M SS ,
(16)
]^_
R rf
− R F − k
= 1
k

F
M ZSS
=
(
B
= fM 0
M ZSS
)(
(R
F
1
k f +
+k f
(19)
]^_C —^bZ]hgZevgZyfZljbpZ
cosα 0
C=
.
1
 0
MjZ\g_gbyby\eyxlkyhkgh\hc^eyjZkq_lZijh^hev
ghc gZfZ]gbq_gghklb \ mkeh\byo bfimevkgh]h klZpbhgZjgh]h khklhygby
^eyex[h]hfhf_glZ\j_f_gbJ_r_gb_mjZ\g_gbcbhlgh
kbl_evghMsbf__l\b^
[
(
)
{[
(
)
]
[
)]
(
)
)
+ k R1B + k f + RrfB − k 2 f
,
(17)
.
(18)
MjZ\g_gb_ hibku\Z_l ^\mowdkihg_gpbZevgmx w\hexpbx ijh
^hevghcgZfZ]gbq_gghklbdklZpbhgZjghfmkhklhygbxIjbwlhfy\
ey_lkymjZ\g_gb_fnhjfuebgbbklZpbhgZjgh]h=-ki_dljZijbhlkmlkl\bb
ijyfh]hJQgZkus_gbygZfZ]gbq_gghklbk\h[h^guoijhlhgh\
>eyhibkZgby^_ckl\bykqblu\Zxs_]hbfimevkZ[m^_fij_^iheZ]Zlv
qlh hg g_ hdZau\Z_l agZqbfh]h \ebygby gZ gZfZ]gbq_gghklv k\yaZgguo
kibgh\ \\b^m ^hklZlhqgh gbadhc fhsghklb b dhjhldhc ^ebl_evghklb
>_ckl\b_ ^Zggh]h bfimevkZ gZ kibgh\mx kbkl_fm fh`gh ij_^klZ\blv
dZdih\hjhl\_dlhjZgZfZ]gbq_gghklbk\h[h^ghcnjZdpbbgZm]heα?keb
ihi_j_qgu_ dhfihg_glu hlkmlkl\mxl i_j_^ kqblu\Zxsbf bfimevkhf
k\yavf_`^m\_dlhjZfbMpbMsbf__l\b^
}
.
(20)
Ba j_r_gby mjZ\g_gbc fh`gh \uqbkeblv ijh^hevgmx gZfZ]gb
F
\oh^ys_c\\_dlhjMsdhlhjZyijyfh
q_gghklvk\h[h^ghcnjZdpbb M ZS
ijhihjpbhgZevgZwdki_jbf_glZevghbaf_jy_fhcbgl_gkb\ghklbkb]gZeZ
(
R1B k + R1F RrfB
+ RrfB − k 2 f
]
− exp(Rt s ) ⋅ I − exp R rf t m ⋅ (M 0 − M SS )
)
F
S mt = M ZS
exp − TE / T2* sinα ,
R1F R1B + R1F k f + R1B k
)(
M p = C ⋅ Ms ,
× I − exp R rf t m ⋅ exp(Rt s ) ⋅ exp(Rt r ) ⋅ M 0 −
M F 
,
M SS =  ZSS
B 
 M ZSS 
R1F
R1B
105
M s = I − exp R rf t m ⋅ exp(Rt s ) ⋅ exp(Rt r ) ⋅ C −1 ×

B
B;
− R1 − k / f − Rrf 
k/ f
MSS — \_dlhj klZpbhgZjghc gZfZ]gbq_gghklb k we_f_glZfb khhl\_lkl
\mxsbfbagZq_gbyf
ijh^hevguodhfihg_glijbklZpbhgZjghfgZkus_gbb
R1F R1B +
M0 F
R1 + k
BfimevkgZydjhkk-j_eZdkZpbhggZyki_dljhkdhiby
(21)
]^_ T2* — wnn_dlb\gh_ \j_fy ihi_j_qghc j_eZdkZpbb k mq_lhf g_h^gh
jh^ghkl_cfZ]gblgh]hihey
MjZ\g_gb_ihdZau\Z_lqlhgZfZ]gbq_gghklv\mkeh\byobfimevk
gh]hklZpbhgZjgh]hkhklhygbyfh`ghijyfh\ujZablvq_j_ajZ\gh\_kgmx
klZpbhgZjgmx gZfZ]gbq_gghklv b iZjZf_lju bfimevkghc ihke_^h\Zl_ev
ghklb>Zggh_mjZ\g_gb_ij_^klZ\ey_lky[he__m^h[guf^eyfZl_fZlbq_
kdh]hfh^_ebjh\Zgbybfimevkgh]hi_j_ghkZgZfZ]gbq_gghklbq_fih^oh
^u hkgh\Zggu_ gZ qbke_gghf j_r_gbb ^bnn_j_gpbZevguo mjZ\g_gbc
;ehoZ-FZdDhgg_eZ>–@<lh`_\j_fyZgZeblbq_kdh_\ujZ`_gb_
F
dhlhjh_fh`_l[ulvihemq_ghbahdZau\Z_lkyqj_a\uqZcgh
^ey M ZS
keh`guf b ijZdlbq_kdb [_kihe_aguf ^ey ZgZebaZ wdki_jbf_glZevguo
^Zgguoqlh^bdlm_lg_h[oh^bfhklv^Zevg_crbomijhs_gbc
KijZdlbq_kdhclhqdbaj_gbybgl_j_kghjZkkfhlj_lvkemqZcij_^_ev
gh dhjhldbo \j_f_g tm, ts, tr b fZeh]h m]eZ α qlh khhl\_lkl\m_l f_lh^m
FJL FLASH (Fast Low-Angle Shot >@ m^h[ghfm ^ey ijh\_^_gby D-
=eZ\Z
106
kdZgbjh\Zgby\dhf[bgZpbbki_j_ghkhfgZfZ]gbq_gghklb:iijhdkbfb
jmyFRVαdZd
cosα = exp (ln cos α ) ≈ 1 + ln cos α ,
BfimevkgZydjhkk-j_eZdkZpbhggZyki_dljhkdhiby
( ) M (R
F
m S ≡ S mt S 0 = M ZS
R rfB
bkihevamybf__f
jZaeZ]ZyfZljbqgu_wdkihg_glu\jy^bij_g_[j_]Zyqe_gZfb\ur_i_j\h
]hihjy^dZbaihemqZ_f
[
] [
]
M s ≈ R rf t m + R (t s + t r ) + lnC −1 ⋅ R ⋅ M 0 (t s + t r ) + R rf ⋅ M SS t m .
]^_
(22)
Mqblu\Zyqlh75≈ tm + ts + tr_keb^ebl_evghklvkqblu\Zxs_]hbf
imevkZij_g_[j_`bfhfZeZbijbf_gyylh`^_kl\h
 RF 
R ⋅ M 0 = R rf ⋅ M SS = − M 0  1 B  ,
 fR1 
\ujZ`_gb_fh`ghaZibkZlv\\b^_
−1
]^_s —kd\Z`ghklvgZkusZxsbobfimevkh\ s = t m TR Bake_^m_l
F
ijb[eb`_gb_i_j\h]hihjy^dZihα ^ey M ZS
:
≈ M0
(R
R1F R1B + R1F k f + R1B k + R1F sR rfB
F
1 +k
)(
)
− (ln cos. ) TR R1B + k f + sR rfB − k 2 f
P=
(
P + (Q − 1) R rfB
P + QR rfB
(
B
rf
)
= 0 = 1 − MTR
,
(26)
)
R S R S − R1B + k f (ln cos. ) TR
k
Q=
(
R S − R1B
(
k (R
(ln cos. ) TR )
R S R1F + k − (lncos. ) TR
B
S − R1
(25)
(lncos. ) TR )
),
(27)
),
(28)
RS = R1F R1B + R1F k f + R1B k .
F 
− R1F − k − (ln cos. ) TR

 M ZS
 R1F 
k/f
, (23)
 B  ≈ M0
B
B ⋅ 
B
k
− R1 − k / f − sR rf 
 fR1 

 M ZS 
F
M ZS
mS =
F
ZS
107
.
(24)
<ujZ`_gb_\u]ey^blZgZeh]bqghklZpbhgZjghfmagZq_gbx\
dhlhjhf \f_klh RrfB b R1F ijbkmlkl\mxl wnn_dlb\gu_ agZq_gby sRrfB
b R1F − (ln cos . ) TR aZ\bkysb_hliZjZf_ljh\bfimevkghcihke_^h\Zl_ev
ghklbMqblu\ZygZebqb_\g_hij_^_e_gghcdhgklZglu M 0 ^eyZgZ
ebaZ wdki_jbf_glZevguo ^Zgguo g_h[oh^bfZ ghjfbjh\dZ gZ bgl_gkb\
ghklv kb]gZeZ ijb hlkmlkl\bb gZkusZxs_]h bfimevkZ S 0 ZgZeh]bqgh
jZkq_lm MTR IheZ]Zy qlh ^ey S0 kijZ\_^eb\h \ujZ`_gb_ k
F
M ZS
jZkkqblZggufijb RrfB = 0 kh]eZkghbeb^eyghjfbjh\Zg
ghc\_ebqbgu
(29)
MjZ\g_gb_hibku\Z_lnhjfmebgbb=-ki_dljZihemq_ggh]h\mk
eh\byobfimevkgh]hklZpbhgZjgh]hkhklhygbygZfZ]gbq_gghklbIjbwlhf
aZ\bkbfhklv kb]gZeZ hl hlkljhcdb b fhsghklb JQ ihey hij_^_ey_lky
nmgdpb_c RrfB \khhl\_lkl\bbk\ujZ`_gbyfbbIZjZf_ljuP, Q
b T2B iheghklvx hij_^_eyxl nhjfm ebgbb =-ki_dljZ b fh]ml [ulv gZc^_
gu gZijbf_j k ihfhsvx g_ebg_cgh]h f_lh^Z gZbf_gvrbo d\Z^jZlh\
FGD ba k_jbb baf_j_gbc bgl_gkb\ghkl_c ijb jZaebqguo agZq_gbyo
fhsghklb b hlkljhcdb gZkusZxs_]h bfimevkZ G_kfhljy gZ lh qlh dh
wnnbpb_glu P b Qy\eyxlky^hklZlhqghkeh`gufbdhf[bgZpbyfbfhe_
dmeyjgh-nbabq_kdboiZjZf_ljh\hij_^_eyxsbo^bgZfbdmgZfZ]gbq_ggh
klbbokfukefh`ghijhykgblv\ij_g_[j_`_gbb\_ebqbghc R1B << k f .
LZd`_ g_h[oh^bfh hlf_lblv qlh kh]eZkgh ^Zgguf klZpbhgZjghc =ki_dljhkdhibb\_ebqbgZ R1B g_ih^^Z_lkygZ^_`ghfmwdki_jbf_glZevgh
fmhij_^_e_gbx—\jZ[hlZo>–@ijb\h^ylkyagZq_gbywlhc\_ebqbgu
B
khagZqbl_evgufjZa[jhkhf–k–1 Nbabq_kdbij_g_[j_`_gb_ R rf ha
gZqZ_l qlh ^hfbgbjmxsbfb f_oZgbafZfb i_j_ghkZ a__fZgh\kdhc wg_j
]bb ^ey k\yaZgguo kibgh\ y\eyxlky JQ gZkus_gb_ b djhkk-j_eZdkZpby
Ijb R1B << k f bf__f
(
)
P ≈ R1F − (ln cos α ) TR f ,
(30)
=eZ\Z
108
Q ≈ 1+
(
R1F −
(ln cos α ) TR ) k .
(31)
LZdbfh[jZahfiZjZf_ljuPb Qijb^hklZlhqghfZeuom]eZoα^Zxl
hp_gdbhlghr_gbc R1F f b R1F k .
BfimevkgZydjhkk-j_eZdkZpbhggZyki_dljhkdhiby
109
H[hkgh\Zgghklvijbf_g_gbyijb[eb`_gbyi_j\h]hihjy^dZijbgylh
]h ijb \u\h^_ \ujZ`_gbc b [ueZ mklZgh\e_gZ gZ hkgh\Zgbb
kjZ\g_gby j_amevlZlh\ qbke_ggh]h fh^_ebjh\Zgby kh]eZkgh mjZ\g_gbyf
b Ijb mkeh\byo wdki_jbf_glZ jZaebqb_ f_`^m lhqguf b
ijb[eb`_ggufj_r_gbyfbg_ij_\urZeh %.
H[jZ[hldZ djhkk-j_eZdkZpbhgguo ki_dljh\ ijh\h^beZkv ijb ihfhsb
ki_pbZevgh jZajZ[hlZgghc dhfivxl_jghc ijh]jZffu j_Zebamxs_c hi
lbfbaZpbx wdki_jbf_glZevguo aZ\bkbfhkl_c k ihfhsvx g_ebg_cgh]h
FGD \ jZfdZo fZl_fZlbq_kdhc fh^_eb hibku\Z_fhc mjZ\g_gbyfb (13), (15).
J_amevlZlubh[km`^_gb_
JbkIjbf_juihkljh_gbyjZkq_lguo]jZnbdh\^eyZ-ki_dljh\ijbjZaebqguo
ZiiZjZlmjguoiZjZf_ljZoB1bαZlZd`_iZjZf_ljZoh[f_gZ— kbfIh]hjb
ahglZevghc hkb hleh`_gh agZq_gb_ hlkljhcdb û \ d=p AgZq_gby nbdkbjh\Zgguo
iZjZf_ljh\^eyij_^klZ\e_gguo]jZnbdh\bdhff_glZjbbijb\_^_gu\jZ[hl_>@
Wdki_jbf_glZevgZyqZklv
Wdki_jbf_glu ih FJL \uihegyebkv gZ Le lhfh]jZn_TOMIKON
S50 (BRUKER>eybaf_j_gbydjhkk-j_eZdkZpbhgguoki_dljh\bkihevah
\Zebkv lhfh]jZffu ihemq_ggu_ k ihfhsvx bfimevkghc ihke_^h\Zl_ev
ghklb D ]jZ^b_glgh]h woZ k i_j_ghkhf gZfZ]gbq_gghklb TR fk
TE fk α = 8°I_j_ghk gZfZ]gbq_gghklb hkms_kl\eyeky k ihfhsvx
gZkusZxs_]h JQ bfimevkZ k ]Zmkkh\hc nhjfhc h]b[Zxs_c ^ebl_evgh
klvx tm fk>ebl_evghklbbgl_j\Zeh\bfimevkghcihke_^h\Zl_evgh
klb ts, tpb tr jbkkhklZ\eyebbfkBaf_j_gbyijh\h^bebkv
^eyk_jbbagZq_gbc∆\bgl_j\Ze_–d=pb^\moagZq_gbcB1 fdLb
fdLgZkusZxs_]hbfimevkZ=jZ^b_glguckihcebg]hkms_kl\eyekyijb
ihfhsb^\mobfimevkh\k_e_dlbjmxs_]h]jZ^b_glZk^ebl_evghklvxfk
b Zfieblm^hc fLf Ijhlhdhe kdZgbjh\Zgby \dexqZe gZdhie_gb_ -o
f_jghc fZljbpu ^Zgguo jZaf_jhf ×108× ijhkljZgkl\_ggh_ jZaj_
r_gb_×1.6×ffijbmkj_^g_gbbkb]gZeh\<j_fykdZgbjh\Zgbykh
klZ\eyeh fbg H[s__ \j_fy wdki_jbf_glZ ^ey ihemq_gby djhkkj_eZdkZpbhgguoki_dljh\lhq_d—hdhehq
<dZq_kl\_beexkljZpbbddebgbq_kdhfmijbf_g_gbxjZajZ[hlZggh]h
f_lh^Z bfimevkghc djhkk-j_eZdkZpbhgghc ki_dljhkdhibb ijb\h^ylky j_
amevlZluwdki_jbf_glZ\uiheg_ggh]hijbbkke_^h\Zgbb]heh\gh]hfha]Z
[hevgh]h jZkk_ygguf kde_jhahf HqZ]b ihjZ`_gby [ueb ehdZebah\Zgu
\bamZevgh ih ljZ^bpbhggh ijbf_gy_fuf \ ^bZ]ghklbd_ L2-\a\_r_gguf
bah[jZ`_gbyf T<B b k ihfhsvx f_lh^bdb )/$,5 h[_ki_qb\Zxs_c
dhgljZkl [ebadbc d T<B ijb ih^Z\e_gbb kb]gZeZ k\h[h^ghc `b^dhklb
jbkA, BIZlheh]bq_kdbbaf_g_ggh_[_eh_\_s_kl\hoZjZdl_jbam_lky
]bi_jbgl_gkb\gufkb]gZehfgZT<Bb)/$,5-lhfh]jZffZoIjbwlhf\
jZkkfZljb\Z_fhf kemqZ_ hlkmlkl\m_l \ujZ`_ggh_ ih\ur_gb_ L1 \ hqZ]Zo
ihjZ`_gby qlh beexkljbjm_lky bahbgl_gkb\guf kb]gZehf gZ T<B
jbk 78 C).
Jbk FZ]gblgh-j_ahgZgkgu_ lhfh]jZffu ]heh\gh]h fha]Z [hevgh]h jZkk_yg
guf kde_jhahf A — T<B B — FLAIR; C — dZjlZ MTR ijb ∆ d=p <1 = 5
fdLDbE —dZjlu^eyPbQkhhl\_lkl\_gghHqZ]bihjZ`_gbyhlf_q_guklj_e
dZfb
110
=eZ\Z
Bah[jZ`_gb_ ihkljh_ggh_ ih jZkij_^_e_gbx MTR (MTR-dZjlbjh\Zgb_ ^_fhgkljbjm_l \ujZ`_ggh_ kgb`_gb_ \_ebqbgu MTR \ ahgZo ihjZ
`_gbyjbkDqlhgZoh^blky\ohjhr_fkhhl\_lkl\bbkebl_jZlmjgu
fb^Zggufb>@
>ey^\mohqZ]h\ihjZ`_gbyZlZd`_^eyghjfZevgh]h[_eh]hbk_jh]h
\_s_kl\Z fha]Z ih ^Zgguf k_jbb baf_j_gbc hibkZgguo \ wdki_jbf_g
lZevghcqZklb[uebihkljh_gudjhkk-j_eZdkZpbhggu_ki_dljuJbk
BfimevkgZydjhkk-j_eZdkZpbhggZyki_dljhkdhiby
LZ[ebpZJ_amevlZluh[jZ[hldbdjhkk-j_eZdkZpbhgguoki_dljh\]heh\gh]h
fha]Z[hevgh]hjZkk_yggufkde_jhahf
IZjZf_ljuZ-ki_dljZ
J_]bhg
;_eh_\_s_kl\h
K_jh_\_s_kl\h
HqZ]
HqZ]
JbkBfimevkgu_djhkk-j_eZdkZpbhggu_ki_dljuA —[_eh]h\_s_kl\ZB —
k_jh]h \_s_kl\Z b C, D — hqZ]h\ ihjZ`_gby ]heh\gh]h fha]Z [hevgh]h jZkk_yg
guf kde_jhahf wdki_jbf_glZevgu_ agZq_gby ijb B1 fdL gb`gyy \_l\v b fdL\_jogyy\_l\vl_hj_lbq_kdb_ki_dljukiehrgu_ebgbbjZkkqblZgu^eyiZ
jZf_ljh\baLZ[eihmjZ\g_gbyfIh]hjbahglZevghchkbhleh`_
gZhlkljhcdZ∆\d=p
Hilbfbabjh\Zggu_ k ihfhsvx g_ebg_cgh]h FGD ^ey \k_]h gZ[hjZ
wdki_jbf_glZevguo ^Zgguo iZjZf_lju P,Q b T2B Z lZd`_ wdki_jbf_g
lZevgu_agZq_gby MTRijb\_^_gu\lZ[eDZd\b^ghbajbkij_^eh
`_ggZy l_hj_lbq_kdZy fh^_ev ^hklZlhqgh Z^_d\Zlgh hibku\Z_l wdki_jb
f_glZevgu_ aZ\bkbfhklb JZaebqby nhjfu ebgbb djhkk-j_eZdkZpbhgguo
ki_dljh\^eyghjfZevgh]hbiZlheh]bq_kdbbaf_g_ggh]h\_s_kl\Zfha]Z\
hkgh\ghfhij_^_eyxlkyiZjZf_ljZfbP b Q.
Ijb wlhf \_ebqbgZ T2B hibku\ZxsZy rbjbgm kmi_jehj_gp_\hc eb
gbb ih]ehs_gby k\yaZgguo ijhlhgh\ hdZau\Z_lky ijZdlbq_kdb h^bgZdh
\hc^ey\k_oki_dljh\>Zgguc\u\h^ohjhrhkh]eZkm_lkykj_amevlZlZfb
bkke_^h\Zgbc ih klZpbhgZjghc =-ki_dljhkdhibb > @ kh]eZkgh dhlh
juf \ ij_^iheh`_gbb kmi_jehj_gp_\hc nhjfu ebgbb agZq_gby T2B ^ey
jZaebqguoldZg_cqj_a\uqZcgh[ebadbbe_`Zl\ij_^_eZo–fdk
111
T2B fdk
9.1 ± 0.6
8.8 ± 0.5
8.9 ± 0.7
8.6 ± 0.6
P=p
Q
20.5 ± 1.5
23.6 ± 1.4
32.6 ± 2.5
27.9 ± 1.9
1.31± 0.16
1.36 ± 0.15
1.38 ± 0.26
1.43 ± 0.21
MTR, %
Ijb
∆ = 2 d=p
<1 = 5 fdL
41.6 ± 1.5
37.7 ± 1.5
31.5 ± 1.8
32.7 ± 1.7
KhihklZ\e_gb_^ZgguolZ[ebpuiha\hey_lhp_gblv^bZ]ghklbq_kdb_
b bkke_^h\Zl_evkdb_ i_jki_dlb\u djhkk-j_eZdkZphgghc ki_dljhkdhibb
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