Quantification of SPIO nanoparticles in vivo using the finite perturber method

Name: Work Video:
Duration: 3 min 30 s
Jason Langley; Wei Liu; Elaine Jordan; Joseph A. Frank; Qun Zhao
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1427, 1799, 1897, 1998, 2282, 2847, 4595], 'nanoparticles': [15, 412, 626, 648, 1345, 1369, 1414, 1432, 1898], 'vivo': [17, 500, 542, 591, 677, 1294, 2700, 4265, 4336, 4550, 4695], 'using': [18, 492, 546, 757, 965, 1322, 1946, 2036, 2076, 2373, 2533, 3302, 4013, 4617, 4626, 4651], 'the': [19, 373, 383, 443, 449, 483, 530, 537, 556, 572, 576, 584, 589, 593, 601, 611, 681, 695, 722, 732, 742, 753, 758, 765, 771, 803, 811, 841, 850, 861, 890, 900, 912, 915, 920, 923, 939, 950, 953, 961, 977, 993, 997, 1000, 1017, 1029, 1057, 1063, 1068, 1077, 1083, 1119, 1135, 1189, 1194, 1206, 1223, 1228, 1235, 1240, 1244, 1253, 1256, 1270, 1283, 1305, 1310, 1323, 1347, 1350, 1361, 1367, 1373, 1381, 1394, 1404, 1452, 1463, 1468, 1479, 1485, 1488, 1492, 1497, 1505, 1509, 1519, 1535, 1552, 1556, 1575, 1581, 1583, 1591, 1594, 1598, 1602, 1610, 1617, 1627, 1632, 1636, 1644, 1647, 1655, 1659, 1673, 1676, 1695, 1707, 1713, 1722, 1727, 1730, 1738, 1741, 1748, 1759, 1765, 1772, 1775, 1777, 1787, 1790, 1798, 1814, 1818, 1828, 1834, 1840, 1844, 1858, 1861, 1868, 1877, 1887, 1903, 1911, 1915, 1925, 1931, 1959, 1975, 2027, 2033, 2037, 2094, 2134, 2139, 2142, 2149, 2158, 2179, 2185, 2278, 2281, 2296, 2301, 2307, 2324, 2338, 2346, 2349, 2354, 2357, 2364, 2369, 2384, 2406, 2412, 2418, 2421, 2426, 2432, 2442, 2445, 2450, 2453, 2460, 2466, 2471, 2475, 2486, 2492, 2495, 2502, 2508, 2511, 2522, 2539, 2542, 2551, 2557, 2561, 2564, 2572, 2578, 2581, 2588, 2591, 2599, 2602, 2607, 2614, 2629, 2632, 2636, 2639, 2642, 2645, 2662, 2665, 2672, 2675, 2679, 2682, 2694, 2704, 2706, 2709, 2717, 2723, 2735, 2741, 2748, 2753, 2763, 2773, 2781, 2787, 2809, 2813, 2831, 2841, 2846, 2855, 2862, 2867, 2878, 2893, 2903, 2924, 2943, 2950, 2964, 2984, 3021, 3075, 3129, 3165, 3169, 3174, 3183, 3186, 3196, 3199, 3203, 3206, 3225, 3228, 3241, 3246, 3252, 3257, 3263, 3272, 3275, 3303, 3326, 3331, 3338, 3346, 3356, 3359, 3370, 3378, 3381, 3385, 3388, 3393, 3407, 3412, 3428, 3437, 3447, 3450, 3461, 3464, 3477, 3483, 3490, 3498, 3504, 3511, 3519, 3530, 3557, 3570, 3577, 3585, 3592, 3597, 3604, 3612, 3629, 3641, 3658, 3673, 3677, 3683, 3690, 3699, 3702, 3710, 3724, 3731, 3736, 3792, 3798, 3809, 3819, 3823, 3826, 3831, 3835, 3839, 3842, 3849, 3864, 3880, 3883, 3892, 3900, 3911, 3916, 3924, 3928, 3935, 3942, 3952, 3956, 3975, 3978, 3981, 3991, 3994, 3997, 4004, 4007, 4010, 4017, 4022, 4029, 4033, 4038, 4041, 4048, 4052, 4057, 4064, 4069, 4128, 4132, 4140, 4144, 4147, 4156, 4166, 4174, 4184, 4191, 4201, 4205, 4208, 4213, 4217, 4221, 4224, 4231, 4248, 4251, 4255, 4258, 4263, 4274, 4277, 4283, 4286, 4291, 4300, 4303, 4308, 4311, 4321, 4324, 4334, 4346, 4349, 4354, 4357, 4365, 4370, 4373, 4390, 4396, 4400, 4406, 4415, 4421, 4428, 4434, 4441, 4447, 4454, 4460, 4466, 4469, 4482, 4496, 4504, 4507, 4519, 4523, 4528, 4532, 4544, 4548, 4557, 4562, 4565, 4568, 4576, 4581, 4584, 4587, 4594, 4598, 4608, 4614, 4627, 4630, 4639, 4652, 4655, 4664, 4680, 4684, 4693, 4700, 4706], 'finite': [20, 484, 1136, 1139, 1199, 1523], 'perturber': [21, 485, 1200, 1524], 'method': [22, 460, 465, 489, 594, 1007, 1018, 1080, 1084, 1176, 1201, 1215, 1286, 1313, 1388, 1525, 1542, 3685, 4012, 4375, 4398], 'Jason': [23, 25, 177, 179], 'Langley,': [24, 178], 'Langley': [26, 180], 'Department': [27, 142, 160, 181, 296, 314], 'Physics': [29, 144, 162, 183, 298, 316], 'and': [30, 74, 100, 120, 145, 163, 184, 228, 254, 274, 299, 317, 355, 359, 371, 378, 397, 498, 563, 671, 690, 700, 715, 730, 768, 875, 937, 1016, 1116, 1153, 1232, 1292, 1346, 1376, 1447, 1502, 1607, 1635, 1670, 1756, 1768, 1789, 1820, 1848, 1884, 2101, 2112, 2167, 2236, 2242, 2267, 2303, 2351, 2397, 2415, 2560, 2611, 2698, 2745, 2758, 2866, 2916, 2931, 2955, 2991, 2998, 3011, 3105, 3114, 3136, 3143, 3182, 3198, 3212, 3224, 3368, 3384, 3411, 3559, 3583, 3596, 3653, 3676, 3695, 3830, 3851, 3866, 3961, 4040, 4212, 4233, 4254, 4307, 4399, 4486, 4503, 4517, 4527, 4610, 4646, 4671], 'Astronomy,': [31, 146, 164, 185, 300, 318], 'BioImaging': [32, 147, 186, 301], 'Research': [33, 53, 113, 148, 187, 207, 267, 302, 2084], 'Center': [34, 149, 188, 303], '(BIRC),': [35, 150, 189, 304], 'The': [36, 151, 190, 305, 403, 463, 487, 503, 540, 718, 749, 778, 791, 885, 926, 955, 968, 1006, 1123, 1174, 1213, 1260, 1307, 1352, 1363, 1384, 1455, 1476, 1522, 1559, 1651, 1715, 1825, 1852, 1894, 2000, 2154, 2173, 2309, 2328, 2366, 2429, 2525, 2547, 2622, 2653, 2720, 2767, 2799, 2874, 2920, 2980, 3017, 3059, 3071, 3117, 3125, 3147, 3171, 3192, 3215, 3267, 3288, 3351, 3441, 3455, 3495, 3508, 3516, 3527, 3538, 3567, 3574, 3608, 3634, 3728, 3788, 3805, 3815, 3846, 3860, 3971, 3987, 4061, 4124, 4187, 4197, 4228, 4315, 4330, 4412, 4425, 4438, 4451, 4463, 4493, 4553, 4572, 4591, 4623, 4648, 4673], 'University': [37, 152, 165, 191, 306, 319], 'Georgia,': [39, 41, 154, 156, 167, 193, 195, 308, 310, 321], 'Athens,': [40, 155, 168, 194, 309, 322], 'USASearch': [42, 59, 85, 128, 196, 213, 239, 282], 'for': [43, 60, 86, 129, 171, 197, 214, 240, 283, 325, 426, 652, 815, 1209, 1500, 1518, 1551, 1562, 1658, 1680, 1734, 2133, 2431, 2470, 2722, 2840, 2871, 2877, 2923, 2946, 3020, 3062, 3074, 3128, 3150, 3173, 3185, 3217, 3227, 3256, 3309, 3314, 3486, 3523, 3563, 3611, 3692, 3712, 3863, 3927, 3955, 4032, 4051, 4333, 4490, 4547, 4593, 4692], 'more': [44, 61, 87, 130, 172, 198, 215, 241, 284, 326, 2837], 'papers': [45, 62, 88, 131, 173, 199, 216, 242, 285, 327], 'by': [46, 63, 89, 132, 174, 200, 217, 243, 286, 328, 407, 441, 448, 470, 740, 843, 944, 960, 1104, 1243, 1337, 1366, 1392, 1491, 1712, 1726, 1752, 1797, 1832, 1901, 1910, 2192, 2317, 2586, 2613, 2771, 2845, 3245, 3330, 3482, 3503, 3535, 3899, 4395, 4405, 4420, 4433, 4446, 4459], 'this': [47, 64, 90, 133, 175, 201, 218, 244, 287, 329, 392, 453, 1165, 1281, 2792, 2860, 2968], 'authorWei': [48, 202], 'Liu,': [49, 203], 'Wei': [50, 204], 'Liu': [51, 205], 'Phillips': [52, 206], 'Laboratories,': [54, 208, 1990], 'Briarcliff': [55, 209], 'Manor,': [56, 210], 'New': [57, 211], 'York,': [58, 212], 'authorE.': [65, 219], 'Kay': [66, 69, 220, 223], 'Jordan,': [67, 221], 'E.': [68, 222], 'Jordan': [70, 224], 'Frank': [71, 96, 97, 225, 250, 251], 'Laboratory,': [72, 98, 226, 252], 'Radiology': [73, 99, 227, 253], 'Imaging': [75, 101, 119, 229, 255, 273], 'Sciences,': [76, 102, 230, 256], 'Clinical': [77, 103, 231, 257], 'Center,': [78, 104, 232, 258], 'National': [79, 105, 115, 122, 233, 259, 269, 276], 'Institutes': [80, 106, 123, 234, 260, 277], 'Health,': [82, 108, 125, 236, 262, 279], 'Bethesda,': [83, 109, 126, 237, 263, 280], 'Maryland,': [84, 110, 127, 238, 264, 281], 'authorJ.': [91, 245], 'A.': [92, 95, 246, 249], 'Frank,': [93, 247], 'J.': [94, 248], 'USA': [111, 265], 'Intramural': [112, 266], 'Program,': [114, 268], 'Institute': [116, 270], 'Biomedical': [118, 272], 'Bioengineering,': [121, 275], 'authorQun': [134, 288], 'Zhao,': [135, 289], 'Corresponding': [136, 290], 'Author': [137, 291], 'Qun': [138, 292], 'Zhao': [139, 293], '[email': [140, 294], 'protected]': [141, 295], 'USA201': [157, 311], 'Cedar': [158, 312], 'Street,': [159, 313], 'GA': [169, 323], '30602===Search': [170, 324], 'author': [176, 330], 'First': [331], 'published:': [332], '30': [333], 'November': [334], '2010': [335, 619], 'https://doi.org/10.1002/mrm.22727Citations:': [336], '16AboutSectionsPDF': [337], 'ToolsRequest': [338], 'permissionExport': [339], 'citationAdd': [340], 'to': [341, 363, 386, 481, 529, 533, 597, 610, 692, 829, 948, 999, 1027, 1109, 1167, 1187, 1204, 1239, 1466, 1484, 1549, 1640, 1701, 1721, 1747, 1785, 1923, 2032, 2136, 2147, 2295, 2388, 2402, 2440, 2490, 2618, 2634, 2660, 2812, 2830, 2836, 3628, 3649, 3667, 3722, 3797, 4155, 4173, 4638, 4663, 4682], 'favoritesTrack': [342], 'citation': [343], 'ShareShare': [344], 'Give': [345], 'accessShare': [346, 349], 'full': [347], 'text': [348], 'full-text': [350, 365, 389], 'accessPlease': [351], 'review': [352], 'our': [353, 2272], 'Terms': [354, 377], 'Conditions': [356, 379], 'Use': [358], 'check': [360], 'box': [361], 'below': [362, 385], 'share': [364, 387], 'version': [366, 390], 'article.I': [368], 'have': [369, 1416, 1434], 'read': [370], 'accept': [372], 'Wiley': [374], 'Online': [375], 'Library': [376], 'UseShareable': [381], 'LinkUse': [382], 'link': [384], 'a': [388, 438, 455, 496, 628, 653, 737, 872, 986, 1023, 1032, 1040, 1091, 1170, 1178, 1247, 1315, 1341, 1417, 1459, 1531, 1544, 1563, 1567, 1571, 1641, 1681, 1688, 1807, 1947, 1984, 1993, 2004, 2012, 2077, 2318, 2341, 2374, 2380, 2391, 2534, 2568, 2596, 2687, 2804, 2817, 3123, 3279, 3589, 3601, 4245, 4502], 'article': [393], 'with': [394, 510, 558, 787, 881, 894, 1090, 1103, 1169, 1297, 1332, 1534, 1587, 1649, 1687, 1966, 2026, 2096, 2205, 2213, 2288, 2379, 2393, 2595, 2649, 2780, 2896, 2932, 3030, 3085, 3122, 4073, 4282], 'your': [395], 'friends': [396], 'colleagues.': [398], 'Learn': [399], 'more.Copy': [400], 'URL': [401], 'Abstract': [402], 'susceptibility': [404, 630, 1338], 'gradients': [405, 1710, 3480, 3562, 3888, 3895, 4393, 4403, 4498, 4509], 'generated': [406, 447, 943, 1242, 1336, 1711, 1796, 2844, 3244, 3329, 3481, 3502, 3534, 3898, 4394, 4404, 4419, 4432, 4445, 4458], 'super-paramagnetic': [408], 'iron': [409, 623, 1052, 1069], 'oxide': [410, 624], '(SPIO)': [411, 625], 'make': [413], 'them': [414, 633], 'an': [415, 507, 634, 1012, 1088, 1685, 1703, 1872, 2263, 2286, 2457, 2499, 3706], 'ideal': [416, 635, 2800, 2832], 'contrast': [417, 429, 450, 636, 686, 882, 906, 916, 924, 1036, 1180, 1391, 1916, 1994, 2001, 2395, 3247, 3332], 'agent': [418, 637, 687, 704, 883, 907, 1037, 1995, 2002, 2396], 'magnetic': [420, 444, 467, 478, 639, 761, 772, 940, 956, 978, 994, 1001, 1064, 1120, 1207, 1353, 1470, 1473, 1560, 1564, 1611, 1656, 1678, 1708, 1717, 1731, 1743, 1791, 2683, 2710, 2842, 3242, 3327, 3389, 3478, 3499, 3886, 3893, 3982, 3998, 4259, 4287, 4358, 4391, 4401, 4416, 4429, 4442, 4455, 4569, 4588], 'resonance': [421, 640], 'imaging.': [422], 'Traditional': [423], 'quantification': [424, 459, 705, 928, 1045, 1079, 1160, 1195, 1278, 1285, 1312, 2283], 'methods': [425, 706, 714, 720, 751, 780, 827, 839, 852, 868, 929, 1046, 1059, 1132, 1141, 1143, 1151, 1155], 'nanoparticle-based': [428], 'agents': [430, 644], 'rely': [431, 930], 'on': [432, 646, 931, 1061, 1134, 1289, 1997, 2692, 3735, 4068, 4699, 4710], 'either': [433], 'mapping': [434, 741, 1387, 1393], 'T': [435, 2017, 2410, 2610], 'values': [436, 1881, 1891, 2650, 4641, 4666], 'within': [437, 603, 736, 747, 1039, 1538, 1555, 1597, 1737, 1817, 1827, 1974, 2178, 2348, 2368, 2390, 2550, 2762, 3205, 3902, 4597], 'region': [439, 874, 1342, 1773, 2742], 'or': [440, 784, 988, 1138, 4689], 'modeling': [442, 976], 'field': [445, 468, 762, 773, 941, 957, 979, 995, 1002, 1065, 1121, 1208, 1329, 1354, 1456, 1474, 1480, 1561, 1657, 1679, 1709, 1718, 1732, 1744, 1792, 2013, 2210, 2684, 2711, 3082, 3317, 3390, 3409, 3414, 3430, 3439, 3479, 3500, 3513, 3521, 3532, 3561, 3571, 3578, 3594, 3887, 3894, 3983, 3999, 4260, 4288, 4305, 4313, 4359, 4392, 4402, 4417, 4430, 4443, 4456, 4484, 4488, 4497, 4508, 4525, 4534, 4570, 4589], 'inhomogeneities': [446, 469, 763, 774, 942, 958, 980, 1003, 1066, 1355, 2712, 3391, 4261, 4289], 'agent.': [451, 925, 1917, 3248, 3333], 'In': [452, 1280, 1403, 1802, 2703, 2791, 3365, 3580, 4016, 4131, 4514, 4711], 'study,': [454], 'new': [456, 1158], 'model-based': [457, 716, 750, 927, 1078, 1277], 'is': [461, 817, 896, 972, 1081, 1095, 1162, 1202, 1263, 1287, 1319, 1482, 1577, 1601, 1629, 1724, 1750, 1816, 1830, 1866, 1921, 2182, 2337, 2353, 2411, 2726, 2734, 2747, 2803, 2887, 2953, 3003, 3008, 3014, 3120, 3178, 3188, 3220, 3234, 3283, 3800, 3855, 3921, 3939, 4149, 4237, 4601], 'introduced.': [462], 'proposed': [464, 488, 538, 577, 1175, 1214, 1284, 1311, 2454, 2496, 3382, 3684, 4011, 4252, 4278, 4374, 4397, 4624, 4649], 'models': [466, 933, 1296, 1526, 2839], 'approximating': [471], 'regions': [472, 1399, 2399], 'containing': [473, 516, 789, 946, 1343], 'SPIOs': [474, 735, 746, 756, 816, 947, 962, 971, 1217, 3901], 'as': [475, 482, 775, 981, 985, 1053, 1183, 1530, 2260, 2332, 2716, 2728, 3650, 3668], 'ensembles': [476], 'dipoles,': [479], 'referred': [480, 3648, 3666], 'method.': [486, 539], 'was': [490, 526, 544, 552, 579, 595, 1512, 1899, 1964, 2090, 2161, 2247, 2293, 2312, 2330, 2434, 2463, 2477, 2482, 2505, 2513, 2518, 2531, 2545, 2584, 2647, 2655, 2690, 2714, 3626, 3646, 3656, 3664, 4025, 4044, 4162, 4180], 'verified': [491], 'data': [493, 532, 574, 1325, 1942, 2072, 2298, 2473, 2696, 2701, 2856, 2864, 2869, 2881, 2926, 2986, 3023, 3077, 3131, 3176, 3265, 3281, 3348, 3395, 3492, 3614, 3632, 3644, 3681, 3870, 3965, 4035, 4054, 4267, 4293, 4337, 4551, 4618, 4696], 'acquired': [494, 545, 1004, 1229, 1945, 2025, 2075, 2204, 3630], 'from': [495, 697, 725, 764, 1067, 2345, 2425, 2778, 2808, 3822, 3838, 3915, 3974, 3990, 4204, 4220, 4372, 4561, 4580], 'phantom': [497, 504, 531, 573, 1291, 1324, 1963, 1976, 2028, 2297, 2350, 2370, 2385, 2472, 2695, 2863, 2880, 2925, 2985, 3022, 3130, 3175, 3207, 3264, 3347, 3394, 3491, 3613, 3643, 3680, 3869, 3964, 4034, 4053], 'mouse': [501, 1295, 2071, 2089, 2868, 3063, 3076, 3280, 4266, 4292], 'models.': [502], 'consisted': [505], 'agar': [508, 1962], 'solution': [509, 1033], 'four': [511, 1130, 1967, 2361, 4366, 4620, 4688], 'embedded': [512, 1537, 1596, 1973], 'vials,': [513], 'each': [514, 549, 1528, 1539, 1735, 2529, 3716, 3813, 3903, 3932, 4195], 'vial': [515, 1982, 2392, 2433, 3006, 3012, 3260, 3343, 3487, 3524, 3536, 3564, 3713, 3793, 3919, 4129], 'known': [517, 612, 1182, 3810, 4192, 4640, 4665], 'but': [518, 1438], 'different': [519, 698, 1106, 1985, 4621], 'concentrations': [520, 1411, 1425, 2901], 'nanoparticles.': [523, 1362, 1402, 1428, 1999, 2848], 'Gaussian': [524], 'noise': [525, 2292, 2886, 2930, 2934, 3625, 3655], 'also': [527, 1320], 'added': [528, 2294, 2884, 2897, 2929, 2933, 3627, 3657], 'test': [534], 'performance': [535, 1308, 2279, 2451, 2493], 'dataset': [543], 'five': [547, 4690], 'mice,': [548], 'which': [551, 1780, 4606], 'subcutaneously': [553, 2091], 'implanted': [554, 2092, 2526, 3118, 3229], 'flanks': [557, 2095, 2140], '1': [559, 564, 1812, 2056, 2097, 2102, 2404, 2851, 3002, 3047, 3261, 3344, 3755, 4091, 4730], '×': [560, 565, 2063, 2098, 2103, 2218, 2230, 3054, 3099], '105': [561, 2099], 'labeled': [562, 674, 800, 1299, 1800, 2100, 2165, 2180, 2565, 2640, 2906, 2951, 3004, 3009, 3015, 3121, 3276, 3360, 4407, 4435, 4461], '106': [566, 2104, 2127], 'unlabeled': [567, 2171], 'C6': [568, 1300, 2106, 2128, 2150], 'glioma': [569, 1301, 2107, 2129, 2151], 'cells.': [570, 2172, 2255], 'For': [571, 588, 1684, 3671, 3715, 3931], 'set,': [575, 2474], 'algorithm': [578, 1161, 2284, 2455, 2497], 'generate': [580, 627], 'accurate': [581, 1704, 2838, 3687, 3707], 'estimations': [582, 599, 3610, 3688, 3821, 3837, 4203, 4219, 4636, 4661], 'concentration': [585, 602, 733, 754, 842, 895, 921, 951, 969, 1895, 1986, 2175, 3609, 3691, 3711, 3743, 3811, 3820, 3836, 3853, 4039, 4148, 4193, 4202, 4218, 4235, 4596, 4615, 4635, 4660, 4685, 4718], 'SPIOs.': [587, 790, 954], 'dataset,': [592], 'able': [596], 'give': [598], 'SPIO-labeled': [604, 2548], 'tumors': [605, 4600], 'that': [606, 858, 877, 887, 1082, 1144, 1623, 1794, 1838, 1856, 1929, 2480, 2516, 2760, 3424, 3544, 3889, 3896, 4021, 4024, 4043, 4160, 4178, 4345, 4369], 'are': [607, 649, 963, 1071, 1335, 1665, 1699, 1795, 2131, 2769, 2825, 2935, 2970, 2994, 3139, 3208, 3293, 3397, 3545, 3616, 3872, 3897, 3906, 4339, 4499, 4510], 'reasonably': [608], 'close': [609, 4637, 4662], 'concentration.': [613, 884, 3725, 4058], 'Magn': [614], 'Reson': [615], 'Med,': [616], '2011.': [617], '©': [618], 'Wiley-Liss,': [620], 'Inc.': [621], 'Superparamagnetic': [622], 'strong': [629], 'gradient': [631, 1185, 1225, 1237, 1241, 1262, 1386, 1406, 1420, 1437, 1448, 1477, 1486, 1674, 1719, 1733, 1745, 2021, 2207, 2443, 2540, 2570, 2589, 2600, 2663, 2673, 2680, 2707, 3027, 3379, 3386, 3410, 3415, 3431, 3501, 3522, 3533, 3595, 3704, 3828, 3844, 3979, 3995, 4210, 4226, 4249, 4256, 4275, 4284, 4306, 4347, 4355, 4418, 4431, 4444, 4457, 4485, 4489, 4526, 4566, 4585, 4632, 4657], 'making': [632], 'imaging': [641, 665], '(MRI).': [642], 'Contrast': [643, 703], 'based': [645, 1133, 1996], 'ideally': [650], 'suited': [651], 'wide': [654], 'range': [655], 'applications': [657], 'MRI.': [659], 'Applications': [660], 'include:': [663], 'liver': [664], '(1,': [666], '2),': [667], 'MR': [668, 728, 1230, 1953, 2201, 2427, 3631], 'angiography': [669], '(3),': [670], 'tracking': [672], 'cells': [675, 801, 1302, 2108, 2116, 2130, 2152, 2160, 2166, 2549], '(4-7).': [678], 'total': [682, 862, 1716, 1742, 1760, 2193, 2198, 2736, 4674], 'amount': [683, 2194], 'SPIO-based': [685, 1035, 2394], 'allows': [688], 'researchers': [689], 'clinicians': [691], 'quantitatively': [693], 'evaluate': [694, 2277], 'results': [696, 4005, 4371], 'treatments': [699], 'studies': [701, 2257], '(7).': [702], 'can': [707, 1100, 1126, 1450], 'be': [708, 1101, 1127, 1621, 1782, 2389, 2403, 3422], 'broken': [709], 'into': [710, 1111, 1129, 2314], 'two': [711, 819, 1058, 1219, 2853], 'categories:': [712, 1131], 'relaxometry': [713, 719, 779, 826, 838], 'methods.': [717, 1279], 'use': [721, 938, 2268], 'magnitude': [723, 1374, 2419, 2543, 2558, 2573, 2592, 2603, 2875, 2894, 2944, 2981, 3060], 'information': [724, 759, 4135], 'multiple': [726, 854, 1692], 'complex-valued': [727, 2422], 'images': [729, 2023, 2202], 'quantify': [731, 752, 840, 949], 'given': [738, 1460, 1725, 1751], 'area': [739, 1645, 2343, 2583, 3258, 3273, 3357], 'relaxation': [743, 794, 891, 902], 'rate': [744, 892, 903], 'tissue.': [748], 'about': [760, 4136], 'phase': [766, 966, 1184, 1190, 1224, 1236, 1261, 1271, 1378, 1382, 1385, 1397, 1405, 1419, 1436, 1453, 1489, 1510, 2921, 2960, 3126, 3148, 3254, 3269, 3298, 3304, 3340, 3353, 3606, 3703, 3827, 3843, 4209, 4225, 4631, 4656], 'map': [767, 869, 1226, 1238, 1457, 1481, 1490, 1511, 3127, 3149, 3255, 3270, 3305, 3341, 3354, 3829, 4211], 'then': [769, 1117, 2435], 'model': [770, 998, 1015, 1026, 1049, 1205, 2755, 3383, 3485, 3884, 4253, 4279], 'simple': [776, 935, 982], 'geometries.': [777], 'utilize': [781, 853, 1145], 'signal': [782, 2382, 2554], 'enhancement': [783], 'decay': [785], 'associated': [786, 1331], 'areas': [788, 945, 1348, 1408, 1422, 1430, 2362], 'effective': [792], 'transverse': [793], 'rate,': [795], 'denoted': [796, 2609], 'R,': [797], 'satisfies': [802], 'static': [804], 'dephasing': [805, 1364], 'regime': [806], 'theory': [807], '(8,': [808], '9).': [809], 'Since': [810], 'value': [812, 1835, 1853, 1904, 1926, 2597], 'R2': [814, 833], 'approximately': [818], 'orders': [820], 'smaller': [821, 2464, 2484, 4027, 4182], 'than': [822, 1421, 2465, 2485, 2507, 2521, 2606, 3923, 4028, 4047, 4165, 4183], 'R': [823, 831, 870, 878, 898, 1589], '(9),': [824], 'most': [825], 'attempt': [828], 'measure': [830, 1028, 2669], 'over': [832, 2197], '(10,': [834], '11).': [835], 'However,': [836, 1056], 'some': [837], 'measuring': [844], 'R1': [845], '(12).': [846], 'Recent': [847], 'advances': [848], 'relaxometry-based': [851], 'acquisition': [855, 2065, 3018, 3056, 3072], 'pulse': [856], 'sequences': [857], 'significantly': [859], 'reduce': [860], 'number': [863, 1761, 2737, 2749, 2782, 4675], 'scans': [865], '(13).': [866], 'Relaxometry': [867], 'particular': [873], 'assume': [876], 'varies': [879], 'linearly': [880], 'equation': [886], 'governs': [888], 'how': [889, 1062, 2670], 'changes': [893, 4138], '(1)where': [897], 'denotes': [899, 911, 919, 1496, 1504, 1580, 1590, 1609, 1876, 1886, 2417], 'intrinsic': [901], '(e.g.,': [904], 'no': [905, 1435, 2821], 'tissue),': [909], 'r': [910, 1573, 1638], 'relaxivity': [913], 'agent,': [917], 'c': [918], 'analytic': [932], 'geometries': [936, 983, 1211], 'created': [959, 2585], 'identified': [964], 'maps.': [967], 'quantified': [973], 'by,': [974], 'first,': [975, 1221], 'such': [984], 'sphere': [987, 1536, 1595], 'infinite': [989, 1013], 'cylinder;': [990], 'then,': [991], 'fitting': [992, 1234], 'experimentally.': [1005], 'presented': [1008, 1019, 3306], '(14)': [1010], 'used': [1011, 1022, 1203, 2146, 2436, 2656, 2715, 2785, 2966, 3167, 3721, 4142, 4678], 'cylinder': [1014], '(15)': [1021], 'spherical': [1024, 1054, 1250, 1532, 1660], 'dipole': [1025, 1533, 1565, 1648, 1661], 'magnetization': [1030, 1826, 1913, 2006], 'suspended': [1038, 2118], 'phantom.': [1041, 2365], 'Recently': [1042], 'published': [1043], 'phase-based': [1044], '(16,': [1047], '17)': [1048], 'distributions': [1050, 1070], 'dipoles.': [1055], 'differ': [1060], 'calculated.': [1072, 2546], 'One': [1073], 'major': [1074], 'limitation': [1075, 1099], 'breaks': [1085], 'down': [1086], 'when': [1087, 1508], 'object': [1089, 1257, 1686, 1723, 1749], 'complex': [1092, 1114, 1171, 1210, 1689], 'geometric': [1093, 1172, 1690], 'shape': [1094], 'encountered': [1096], '(16).': [1097], 'This': [1098, 1541], 'dealt': [1102], 'applying': [1105], 'numerical': [1107, 1124], 'techniques': [1108, 1125], 'take': [1110], 'account': [1112, 1550], 'geometry': [1115, 1254, 1819, 1829], 'calculate': [1118, 2441, 2661], 'inhomogeneities.': [1122, 1475, 3984, 4000, 4571, 4590], 'divided': [1128], 'element': [1137], 'difference': [1140, 2754, 2775], '(18-20),': [1142], 'boundary': [1146, 2562, 2579, 2646], 'conditions': [1147], '(21,': [1148], '22),': [1149], 'approximation': [1150, 1705], '(23),': [1152], 'Fourier-based': [1154], '(23-27).': [1156], 'A': [1157, 1197, 1918, 2124, 2575, 3335, 3375, 3474, 3949, 4387, 4541], 'introduced': [1163], 'work': [1166, 2969], 'deal': [1168], 'case.': [1173], 'utilizes': [1177], 'positive': [1179, 1390], 'technique,': [1181], 'mapping,': [1186], 'bypass': [1188], 'unwrapping': [1191, 1272], 'step': [1192, 1273], 'process.': [1196], 'modified': [1198, 2325], '(23).': [1212, 1558], 'quantifies': [1216], 'steps:': [1220], 'calculating': [1222, 1833], 'data;': [1231], 'second,': [1233], 'theoretical': [1245, 2446, 2666, 3408, 3429, 3484, 3505, 3520, 3560, 3593, 4304, 4422, 4448, 4483, 4524], 'model,': [1246, 2676, 4350], 'distribution': [1248], 'dipoles': [1251, 3243, 3328], 'occupying': [1252, 1694], 'under': [1258], 'consideration.': [1259], 'considered': [1264, 2858], 'because': [1265], 'it': [1266, 2481, 2517, 4161, 4179], 'does': [1267], 'not': [1268, 4377], 'require': [1269], 'present': [1274], 'previous': [1276], 'work,': [1282], 'validated': [1288], 'both': [1290, 2113, 2693, 3366, 3425, 3434, 3581, 3672, 4515], 'injected': [1303, 2159, 4599], 'flanks.': [1306], 'low': [1316, 2289, 2381, 2992, 3137, 3669, 3678, 3867, 3962], 'SNR': [1317, 2329, 2990, 2993, 3135, 3138, 3636, 3660, 3675, 3679, 3741, 3799, 3868, 3958, 3963], 'environment': [1318, 2287, 2458, 2500], 'evaluated': [1321], 'set.': [1326, 3266, 3349, 3493, 3633, 4268, 4294], 'THEORY': [1327], 'inhomogeneities,': [1330, 1442, 2685, 4360], 'nanoparticles,': [1334], 'differences': [1339], 'between': [1340, 1843, 3377, 4247, 4687], 'these': [1344], 'surrounding': [1349, 1409, 1423, 1646, 1774, 3259, 3274, 3342, 3358], 'region.': [1351], 'dephase': [1356], 'spins': [1357], 'voxels': [1359, 1693, 1763, 2739, 2751], 'neighboring': [1360, 1400], 'caused': [1365], 'creates': [1370, 1389], 'hypointensities': [1371], 'image': [1375, 1461, 2311, 2315, 2423, 2544, 2559, 2604, 2876, 2895, 2945, 2982, 3061], 'induces': [1377], 'disturbances': [1379], 'map.': [1383, 2961, 3845, 4227], 'rapidly': [1395], 'changing': [1396], 'map,': [1407, 4633, 4658], 'higher': [1410], 'should': [1415, 1433, 1620, 3421], 'larger': [1418, 2506, 2520, 4046, 4164], 'lower': [1424, 3922], 'Ideally,': [1429], 'without': [1431, 2883, 2928], 'eddy': [1439], 'currents,': [1440], 'B0': [1441, 2034], 'air-tissue': [1443], 'interfaces,': [1444, 1446], 'tissue–tissue': [1445], 'instabilities': [1449], 'influence': [1451], 'gradient.': [1454, 3440, 3514, 3607, 4314, 4535], 'displays': [1462, 2628, 2852, 2892, 2942, 2958, 3251, 3404, 3588, 3600, 3808, 3818, 3834, 4003, 4190, 4200, 4216, 4244, 4297, 4522, 4531, 4556, 4575], 'z-component': [1464], '(parallel': [1465], 'B0,': [1467, 1588], 'main': [1469], 'field)': [1471], 'related': [1483], 'relation': [1493], '(2)where': [1494], 'γ': [1495], 'gyromagnetic': [1498], 'ratio': [1499], 'hydrogen': [1501], 'TE': [1503, 2040, 2237, 3031, 3067, 3106, 3154], 'echo': [1506, 2022, 2211, 3028, 3083, 4380], 'time': [1507], 'taken': [1513], '(28).': [1514], 'Finite': [1515], 'Perturber': [1516], 'Method': [1517, 3734, 4067, 4709], 'Phase': [1520], 'Gradient': [1521], '(23)': [1527], 'voxel': [1529, 1557, 1576, 1736], 'voxel.': [1540, 1683], 'uses': [1543], 'scaling': [1545], 'factor': [1546], '(6/π)': [1548], 'excess': [1553], 'volume': [1554, 1615, 1696, 2643], 'at': [1566, 1570, 1631, 2011, 2271, 2988, 3066, 3133, 3153], 'point,': [1568], 'p,': [1569], 'distance': [1572], 'outside': [1574, 2363], '(3)where': [1578], 'θ': [1579], 'angle': [1582, 2049, 3040], 'point': [1584, 1633, 1642, 1815, 2810, 2814], 'p': [1585, 1634], 'makes': [1586], 'radius': [1592], 'voxel,': [1599], 'μ0': [1600], 'permeability': [1603], 'free': [1605], 'space,': [1606], 'm': [1608, 1837, 1855, 1906, 1928], 'moment': [1612], 'per': [1613], 'unit': [1614], 'object.': [1618, 1714, 1739], 'It': [1619, 3420], 'noted': [1622, 3423], 'Eq.': [1625, 1803, 1864, 1908, 1934, 2438, 2625, 2658], '3,': [1626, 2190, 4605, 4645, 4669], 'origin': [1628], 'located': [1630], 'variable': [1637], 'refers': [1639], 'p≠r.': [1650], 'partial': [1652], 'derivatives': [1653], 'Cartesian': [1663], 'coordinates': [1664], '(4)and': [1666], '(5)': [1667], 'Equations': [1668], '4': [1669, 2078, 3065, 3152, 3219, 3233, 4763], 'display': [1672, 3460, 3540, 4320, 4465], 'induced': [1677], 'single': [1682], 'structure,': [1691], 'interest': [1698, 2744], 'needed': [1700], 'provide': [1702], 'due': [1720, 1746], 'sum': [1728], 'Mathematically': [1740], '(6)where': [1753], 'Nx,': [1754], 'Ny,': [1755], 'Nz': [1757], 'denote': [1758], 'along': [1764, 3295, 3373, 3941], 'x,': [1766], 'y,': [1767], 'z': [1769], 'axes': [1770], 'tumor,': [1776, 2633, 2641], 'size': [1778, 2227, 3096, 4137], 'must': [1781], 'large': [1783], 'enough': [1784], 'encompass': [1786], 'tumor': [1788, 2135, 2181, 2254, 2527, 2552, 2566, 2582, 2952, 3119, 3230, 3277, 3361, 4408], 'perturbations': [1793], 'tumor.': [1801, 4436, 4462], '6,': [1804], 'α': [1805], 'represents': [1806, 1871], 'mask': [1808, 2430, 2462, 2476, 2504, 2512, 2576, 2623, 2637, 2654, 3172, 3184, 3194, 3201, 3216, 3226, 4023, 4031, 4042, 4050, 4157, 4175], 'where': [1809, 2335, 2459, 2501, 2732, 2949], 'α(n,p,r)': [1810, 1821], '=': [1811, 1822, 2041, 2045, 2050, 2055, 2059, 2215, 2223, 2228, 2233, 2238, 2730, 3032, 3036, 3041, 3046, 3050, 3068, 3087, 3092, 3097, 3102, 3107, 3155], 'if': [1813, 4271], '0': [1823], 'otherwise.': [1824], 'obtained': [1831, 2424], 'minimizes': [1839, 1857], 'squared': [1841], 'error': [1842], 'components': [1845, 3426, 3435, 3753, 4089, 4301, 4309, 4728], '▿BModel': [1847, 1883, 2713, 2757, 2779], '▿(ΔB),': [1849, 2686, 4361], 'i.e.,': [1850, 2408, 2620, 2789], '(7)': [1851], 'x-component': [1859, 3496, 3509, 3746, 3824, 3917, 3976, 4082, 4206, 4413, 4426, 4494, 4563, 4628, 4721], 'expression': [1862], '7': [1865, 4243, 4296, 4319], '(8)where': [1867], 'symbol': [1869], '·': [1870], 'inner': [1873], 'product,': [1874], '▿BModel(:)': [1875], 'vector': [1878, 1888], 'all': [1880, 1890, 3638, 3662, 4363], '▿(ΔB(:))': [1885], '▿(ΔB).': [1893], 'found': [1900, 4020], 'dividing': [1902, 2772], '8': [1909], 'saturation': [1912, 2005], 'similar': [1919], 'procedure': [1920, 4681], 'followed': [1922], 'find': [1924], 'minimized': [1930], 'y-component': [1932, 3517, 3528, 3700, 3749, 3840, 3992, 4085, 4222, 4439, 4452, 4582, 4653, 4724], '7.': [1935], 'METHODS': [1936], 'AND': [1937], 'MATERIALS': [1938], 'Data': [1939, 2274, 3738, 4071, 4714], 'Acquisition': [1940], 'All': [1941, 2256], 'sets': [1943, 2073, 2857, 3871, 3966, 4338], 'were': [1944, 2024, 2074, 2117, 2145, 2203, 2258, 2371, 2386, 2400, 2616, 2797, 2911, 3300, 3720], 'whole-body': [1948], 'Philips': [1949], '3T': [1950], 'Achieva': [1951], 'clinical': [1952], 'scanner': [1954], '(Phillips': [1955, 2083], 'Medical': [1956], 'Systems,': [1957], 'Best,': [1958], 'Netherlands).': [1960], 'An': [1961], 'constructed': [1965], 'vials': [1968, 2347, 2367, 2905, 3187, 3197, 3204, 3693], '(8': [1969], 'mm': [1970, 2217], 'diameter)': [1972], '(5': [1977], 'cm': [1978, 2079], 'diameter).': [1980], 'Each': [1981, 2088], 'contained': [1983], 'Ferumoxides': [1988, 2144, 2177, 2900], '(Berlex': [1989], 'Wayne,': [1991], 'NJ),': [1992], 'has': [2003, 2567], '∼93.6': [2008], 'emu/g': [2009], 'Fe': [2010, 2155, 2196], 'strength': [2014], '3.0': [2016], '(29).': [2018], 'Multiple': [2019], '2D': [2020, 2319, 3026], 'standing': [2029], 'upright': [2030], '(perpendicular': [2031], 'direction)': [2035], 'following': [2038, 2251], 'parameters:': [2039], '15': [2042, 3033, 3069], 'ms,': [2043, 2047, 2235, 2244, 3034, 3038, 3104, 3109, 3111, 3113], 'TR': [2044, 2232, 3035, 3101], '50': [2046, 3037], 'flip': [2048, 3039], '25': [2051, 3042], 'degrees,': [2052, 3043], 'slice': [2053, 2221, 3044, 3090], 'thickness': [2054, 2222, 3045, 3091], 'mm,': [2057, 2061, 2220, 2225, 3048, 3052, 3089, 3094], 'FOV': [2058, 2214, 3049, 3086], '70': [2060, 3051], '256': [2062, 2064, 2229, 3053, 3055, 3098], 'matrix,': [2066], '24': [2067], 'coronal': [2068], 'slices.': [2069], 'Five': [2070], 'receive-only': [2080], 'RF': [2081], 'coil': [2082], 'Europe,': [2085], 'Hamburg,': [2086], 'Germany).': [2087], 'Unlabeled': [2105], '(ATCC,': [2109], 'Manassas,': [2110], 'VA),': [2111], 'groups': [2114], '100': [2120], 'μl': [2121], 'PBS.': [2123], 'minimum': [2125], 'required': [2132], 'implant': [2137], 'mouse.': [2143], 'label': [2148], '(30).': [2153], 'content': [2156], '∼19.4': [2162], 'pg/cell': [2163, 2169], '1.2': [2168], 'estimated': [2174, 2191, 2461, 2503, 4616], 'shown': [2183, 2995, 3140, 3179, 3209, 3235, 3284, 3416, 3801, 3873, 4340, 4602], 'first': [2186, 3789, 4125, 4554], 'column': [2187, 3790, 3803, 3807, 3817, 3833, 3858, 4126, 4189, 4199, 4215, 4240], 'Table': [2189, 3619, 3726, 4001, 4059, 4604, 4702], 'injection': [2199], 'volume.': [2200], '3D': [2206, 3080], 'echo-based': [2208], 'fast': [2209, 2320, 3081], 'sequence': [2212, 3029, 3084], '40': [2216, 2219, 2917, 3088, 3779, 3784, 4115, 4120], '0.5': [2224, 3093], 'matrix': [2226, 3095], '256,': [2231, 3100], '12.6': [2234, 3103], '4.6,': [2239], '6.9,': [2240], '9.2,': [2241], '11.5': [2243, 3115], 'respectively.': [2245, 2919, 3000, 3145, 3214], 'MRI': [2246], 'performed': [2248, 2259, 2691], '1–3': [2249], 'days': [2250], 'implantation': [2252], 'part': [2261], 'approved': [2264], 'animal': [2265], 'care': [2266], 'community': [2269], 'protocol': [2270], 'institution.': [2273], 'Processing': [2275], 'To': [2276, 2448, 2668], 'SNR,': [2290, 3652], 'gaussian': [2291, 2885, 2898, 3624], 'set': [2299, 2697, 2865, 2870, 2882, 2927, 2987, 3024, 3078, 3132, 3177, 3282, 3396, 3615, 3645, 4036, 4055], 'real': [2302], 'imaginary': [2304], 'parts': [2305], 'k-space.': [2308], 'noisy': [2310], 'transformed': [2313], 'space': [2316], 'Fourier': [2321], 'transform': [2322], 'k-space': [2326], 'data.': [2327], 'calculated': [2331, 3914, 4560, 4579], 'S0/(1.53': [2333], 'σN),': [2334], 'S0': [2336], 'mean': [2339, 2355, 4609], 'homogeneous': [2342], 'away': [2344], 'σN': [2352], 'standard': [2358, 4611], 'deviation': [2359, 4612], 'segmented': [2372, 2532], 'simplistic': [2375], 'thresholding': [2376, 2587], 'technique.': [2377], 'Areas': [2378], 'inside': [2383, 2644], 'assumed': [2387], 'those': [2398], 'defined': [2401, 2727], 'mask,': [2407, 2468, 2510], '(9)where': [2409], 'chosen': [2413, 2612], 'threshold': [2414, 2725, 2765], 'ρ(x,y,z)': [2416], 'scanner.': [2428], '6': [2439, 2659], 'model.': [2447, 2667, 3506, 4423, 4449], 'assess': [2449, 2491], 'true': [2467, 2487, 2509, 2523], 'α(m,n,p),': [2469], 'eroded': [2478, 3193, 4176], 'so': [2479, 2515, 4159, 4177], '10%': [2483, 2519, 4026, 4045, 4163, 4181], 'mask.': [2488, 2524, 4168, 4186], 'Conversely,': [2489], 'dilated': [2514, 3200, 4158], 'subject': [2530, 2872, 2947, 3064, 3151, 3218, 3232, 3363, 4491], 'gradient-based': [2535], 'segmentation': [2536], 'algorithm.': [2537], 'First,': [2538], 'cause': [2553], 'loss': [2555], 'steep': [2569], 'image.': [2574, 2593], 'Voxels': [2594], 'greater': [2605], 'threshold,': [2608, 3937], 'user,': [2615], 'mapped': [2617], '1,': [2619, 3005, 4644], '(10)': [2621], '10': [2626], 'only': [2627, 3312, 3698], 'edges': [2630], 'construct': [2635], 'filled': [2648], '1.': [2652, 3620, 3714, 3727], 'closely': [2671, 3432, 3890, 4352], '▿BModel,': [2677, 4351], 'matches': [2678, 4353], 'sensitivity': [2688, 2721, 2793, 2801, 2818, 2833, 3861, 3881, 3912, 3925, 3933, 3953, 3972, 3988, 4331, 4545, 4558, 4577], 'analysis': [2689, 4008], 'sets.': [2702, 4552], 'analysis,': [2705, 2788, 2794, 4018], '"ground': [2718], 'truth."': [2719], 'ith': [2724, 2764], 'Si': [2729], 'Ti/NT': [2731], 'NT': [2733], 'Ti': [2746], '▿(ΔB)': [2759, 2777], 'fall': [2761], 'Ti,.': [2766], 'thresholds': [2768, 2784, 2796, 2824], 'determined': [2770], 'maximum': [2774], '(11)': [2790], 'thirty': [2795], 'used.': [2798], 'curve': [2802, 2834, 3913, 3973, 3989], 'horizontal': [2805], 'line': [2806, 3587, 3599, 4521, 4530], 'stretching': [2807], '(0,1)': [2811], '(1,1),': [2815], 'representing': [2816], 'one': [2820], 'matter': [2822], 'what': [2823], 'applied.': [2826], 'Sensitivity': [2827], 'curves': [2828, 3862, 3926, 4332, 4546, 4559, 4578], 'closer': [2829], 'correspond': [2835, 4154, 4172], 'fields': [2843], 'RESULTS': [2849], 'Figure': [2850, 2940, 2975, 3158, 3238, 3249, 3319, 3402, 3469, 3548, 3550, 3944, 4242, 4295, 4382, 4473, 4475, 4536], 'work:': [2861], '4.': [2873, 3364, 3401, 3419, 4492, 4647], 'original': [2879, 3642, 4030, 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3696, 3777, 3920, 4113, 4752], '3.': [3016, 4703], 'parameters': [3019, 3073], 'are:': [3025, 3079], 'matrix.': [3057], 'c:': [3058, 3515, 3970, 4437], 'ms.': [3070, 3116, 3157], '4.6': [3108, 4748], '6.9': [3110], '9.2': [3112], 'circle.': [3124], '(d)': [3142], '(e),': [3144], 'f:': [3146], '6.8': [3156], '2Open': [3159], 'Illustration': [3163, 3324], 'analysis.': [3170], '(b).': [3191, 4513], '(c)': [3211], '(d),': [3213], '(e)': [3223], '(f).': [3237], 'illustrates': [3240], '3a': [3250], 'unwrapped': [3253, 3268, 3301, 3339, 3352], '3b.': [3287], 'arrows': [3289], '3a,b': [3292], 'aligned': [3294], 'B0.': [3296, 3374], 'Both': [3297], '(31)': [3308], 'demonstration': [3310], 'purposes': [3311], '(not': [3313], 'calculation': [3315, 4145], 'gradients).': [3318], '3Open': [3320], 'a:': [3334, 3494, 3566, 4411], 'view': [3336], 'b:': [3350, 3507, 3573, 4424], 'arrow': [3371], 'points': [3372], 'comparison': [3376, 3475, 3950, 4246, 4388, 4542], 'profiles': [3405, 3451, 3465, 3543, 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