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http://dx.doi.org/10.12989/anr.2022.12.2.197

Computerized bone age estimation system based on China-05 standard  

Yin, Chuangao (Anhui Provincial Children's Hospital)
Zhang, Miao (Shijiazhuang Kid Grow Science and Technology Co. Ltd)
Wang, Chang (Anhui Provincial Children's Hospital)
Lin, Huihui (Anhui Provincial Children's Hospital)
Li, Gengwu (Anhui Provincial Children's Hospital)
Zhu, Lichun (Anhui Provincial Children's Hospital)
Fei, Weimin (Anhui Provincial Children's Hospital)
Wang, Xiaoyu (Anhui Medical University)
Publication Information
Advances in nano research / v.12, no.2, 2022 , pp. 197-212 More about this Journal
Abstract
The purpose of this study is to develop an automatic software system for bone age evaluation and to evaluate its accuracy in testing and feasibility in clinical practice. 20394 left-hand radiographs of healthy children (2-18 years old) were collected from China Skeletal Development Survey data of 1998 and China Skeletal Development Survey data of 2005. Three experienced radiologists and China-05 standard maker jointly evaluate the stages of bone development and the reference bone age was determined by consensus. 1020 from 20394 radiographs were picked randomly as test set and the remaining 19374 radiographs as training set and validation set. Accuracy of the automatic software system for bone age assessment is evaluated in test set and two clinical test sets. Compared with the reference standard, the automatic software system based on RUS-CHN for bone age assessment has a 0.04 years old mean difference, ±0.40 years old in 95% confidence interval by single reading, a 85.6% percentage agreement of ratings, a 93.7% bone age accuracy rate, 0.17 years old of MAD, 0.29 years old of RMS; Compared with the reference standard, the automatic software system based on TW3-C RUS has a 0.04 years old mean difference, a ±0.38 years old in 95% confidence interval by single reading, a 90.9% percentage agreement of ratings, a 93.2% bone age accuracy rate, a 0.16 years of MAD, and a 0.28 years of RMS. Automatic software system, AI-China-05 showed reliably accuracy in bone age estimation and steady determination in different clinical test sets.
Keywords
AI-China-05; bone age; deep learning; RUS-CHN; TW3-C RUS;
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Times Cited By KSCI : 8  (Citation Analysis)
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1 Ghadiri, M., Shafiei, N. and Alireza Mousavi, S. (2016c), "Vibration analysis of a rotating functionally graded tapered microbeam based on the modified couple stress theory by DQEM", Appl. Phys. A, 122(9), 837. https://doi.org/10.1007/s00339-016-0364-5.   DOI
2 Ghadiri, M., Shafiei, N. and Alavi, H. (2017b), "Thermo-mechanical vibration of orthotropic cantilever and propped cantilever nanoplate using generalized differential quadrature method", Mech. Adv. Mater. Struct., 24(8), 636-646. https://doi.org/10.1080/15376494.2016.1196770.   DOI
3 Ghadiri, M., Shafiei, N. and Safarpour, H. (2017e), "Influence of surface effects on vibration behavior of a rotary functionally graded nanobeam based on Eringen's nonlocal elasticity", Microsyst. Technol., 23(4), 1045-1065. https://doi.org/10.1007/s00542-016-2822-6.   DOI
4 Shafiei, N., Kazemi, M. and Fatahi, L. (2017b), "Transverse vibration of rotary tapered microbeam based on modified couple stress theory and generalized differential quadrature element method", Mech. Adv. Mater. Struct., 24(3), 240-252. https://doi.org/10.1080/15376494.2015.1128025.   DOI
5 Shafiei, N., Mirjavadi, S.S., Afshari, B.M., Rabby, S. and Hamouda, A.M.S. (2017c), "Nonlinear thermal buckling of axially functionally graded micro and nanobeams", Compos. Struct., 168, 428-439. https://doi.org/10.1016/j.compstruct.2017.02.048.   DOI
6 Shafiei, N. and She, G.L. (2018), "On vibration of functionally graded nano-tubes in the thermal environment", Int. J. Eng. Sci., 133, 84-98. https://doi.org/10.1016/j.ijengsci.2018.08.004.   DOI
7 Cheshmeh, E., Karbon, M., Eyvazian, A., Jung, D.w., Habibi, M. and Safarpour, M. (2020), "Buckling and vibration analysis of FG-CNTRC plate subjected to thermo-mechanical load based on higher order shear deformation theory", Mech. Based Des. Struct., 1-24. https://doi.org/10.1080/15397734.2020.1744005.   DOI
8 Dai, Z., Zhang, L., Bolandi, S.Y. and Habibi, M. (2021b), "On the vibrations of the non-polynomial viscoelastic composite open-type shell under residual stresses", Compos. Struct., 263, 113599. https://doi.org/10.1016/j.compstruct.2021.113599.   DOI
9 Guo, Y., Liang, H. and Deng, H. (2012), "Advances in the molecular genetics of brachydactyly", Yi Chuan = Hereditas, 34(12), 1522-1528. https://doi.org/10.3724/sp.j.1005.2012.01522.   DOI
10 Najaafi, N., Jamali, M., Habibi, M., Sadeghi, S., Jung, D.w. and Nabipour, N. (2021), "Dynamic instability responses of the substructure living biological cells in the cytoplasm environment using stress-strain size-dependent theory", J. Biomol. Struct. Dyn., 39(7), 2543-2554. https://doi.org/10.1080/07391102.2020.1751297.   DOI
11 Shaoyan, Z., Zhenlie, W. and Xunzhang, S. (2006), "The standards of skeletal maturity of hand and wrist for Chinese-China 05 II. Reliability of assessing skeletal age by RUS-CHN and TW_3-C carpal methods", Chinese J. Sports Med., 6.   DOI
12 Shafiei, N., Ghadiri, M., Makvandi, H. and Hosseini, S.A. (2017a), "Vibration analysis of Nano-Rotor's Blade applying Eringen nonlocal elasticity and generalized differential quadrature method", Appl. Math. Modell., 43, 191-206. https://doi.org/10.1016/j.apm.2016.10.061.   DOI
13 Shafiei, N., Mirjavadi, S.S., MohaselAfshari, B., Rabby, S. and Kazemi, M. (2017d), "Vibration of two-dimensional imperfect functionally graded (2D-FG) porous nano-/micro-beams", Comput. Method Appl. Mech. Eng., 322, 615-632. https://doi.org/10.1016/j.cma.2017.05.007.   DOI
14 Shafiei, N., Hamisi, M. and Ghadiri, M. (2020), "Vibration analysis of rotary tapered axially functionally graded Timoshenko nanobeam in thermal environment", J. Solid Mech., 12(1), 16-32.
15 Shivanian, E., Ghadiri, M. and Shafiei, N. (2017), "Influence of size effect on flapwise vibration behavior of rotary microbeam and its analysis through spectral meshless radial point interpolation", Appl. Phys. A, 123(5), 329. https://doi.org/10.1007/s00339-017-0955-9.   DOI
16 Ehyaei, J., Akbarshahi, A. and Shafiei, N. (2017), "Influence of porosity and axial preload on vibration behavior of rotating FG nanobeam", 5(2), 141-169. https://doi.org/10.12989/anr.2017.5.2.141.   DOI
17 Dong, J., Cong, Y., Sun, G., Fang, Z. and Ding, Z. (2021), "Where and how to transfer: Knowledge aggregation-induced transferability perception for unsupervised domain adaptation", IEEE T. Pattern Anal., 1-1. https://doi.org/10.1109/TPAMI.2021.3128560.   DOI
18 Ebrahimi, F. and Shafiei, N. (2017), "Influence of initial shear stress on the vibration behavior of single-layered graphene sheets embedded in an elastic medium based on Reddy's higher-order shear deformation plate theory", Mech. Adv. Mater. Struct., 24(9), 761-772. https://doi.org/10.1080/15376494.2016.1196781.   DOI
19 Ebrahimi, F., Shafiei, N., Kazemi, M. and Mousavi Abdollahi, S.M. (2017), "Thermo-mechanical vibration analysis of rotating nonlocal nanoplates applying generalized differential quadrature method", Mech. Adv. Mater. Struct., 24(15), 1257-1273. https://doi.org/10.1080/15376494.2016.1227499.   DOI
20 Shafiei, N., Ghadiri, M. and Mahinzare, M. (2019), "Flapwise bending vibration analysis of rotary tapered functionally graded nanobeam in thermal environment", Mech. Adv. Mater. Struct., 26(2), 139-155. https://doi.org/10.1080/15376494.2017.1365982.   DOI
21 Shao, Y., Zhao, Y., Gao, J. and Habibi, M. (2021), "Energy absorption of the strengthened viscoelastic multi-curved composite panel under friction force", Arch. Civil Mech. Eng., 21(4), 141. https://doi.org/10.1007/s43452-021-00279-3.   DOI
22 Azimi, M., Mirjavadi, S.S., Shafiei, N., Hamouda, A.M.S. and Davari, E. (2018), "Vibration of rotating functionally graded Timoshenko nano-beams with nonlinear thermal distribution", Mech. Adv. Mater. Struct., 25(6), 467-480. https://doi.org/10.1080/15376494.2017.1285455.   DOI
23 Acheson, R.M., Vicinus, J.H. and Fowler, G.B. (1966), "Studies in the reliability of assessing skeletal maturity from x-rays: Part III. Greulich-Pyle Atlas and Tanner-Whitehouse method contrasted", Human Biol., 204-218.
24 Alipour, M., Torabi, M.A., Sareban, M., Lashini, H., Sadeghi, E., Fazaeli, A., Habibi, M. and Hashemi, R. (2020), "Finite element and experimental method for analyzing the effects of martensite morphologies on the formability of DP steels", Mech. Based Des. Struct., 48(5), 525-541. https://doi.org/10.1080/15397734.2019.1633343.   DOI
25 Azimi, M., Mirjavadi, S.S., Shafiei, N. and Hamouda, A.M.S. (2016), "Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam", Appl. Phys. A, 123(1), 104. https://doi.org/10.1007/s00339-016-0712-5.   DOI
26 Bull, R.K., Edwards, P.D., Kemp, P.M., Fry, S. and Hughes, I.A. (1999), "Bone age assessment: a large scale comparison of the Greulich and Pyle, and Tanner and Whitehouse (TW2) methods", Arch. Dis. Child., 81(2), 172-173. https://doi.org/10.1136/adc.81.2.172.   DOI
27 Zhao, Y., Moradi, Z., Davoudi, M. and Zhuang, J. (2021b), "Bending and stress responses of the hybrid axisymmetric system via state-space method and 3D-elasticity theory", Eng. Comput., 1-23. https://doi.org/10.1007/s00366-020-01242-1.   DOI
28 Raschka, S. (2015), Python machine learning, Packt Publishing Ltd, Mumbai, India.
29 Li, Y., Li, S., Guo, K., Fang, X. and Habibi, M. (2020b), "On the modeling of bending responses of graphene-reinforced higher order annular plate via two-dimensional continuum mechanics approach", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-020-01166-w.   DOI
30 Zhou, X.L., Wang, E.G., Lin, Q., Dong, G.P., Wu, W., Huang, K., Lai, C., Yu, G., Zhou, H.C., Ma, X.H., Jia, X., Shi, L., Zheng, Y.S., Liu, L.X., Ha, D., Ni, H., Yang, J. and Fu, J.F. (2020b), "Diagnostic performance of convolutional neural network-based Tanner-Whitehouse 3 bone age assessment system", Quant Imag. Med. Surg., 10(3), 657-667. https://doi.org/10.21037/qims.2020.02.20.   DOI
31 Habibi, M., Hashemi, R., Fallah Tafti, M. and Assempour, A. (2018), "Experimental investigation of mechanical properties, formability and forming limit diagrams for tailor-welded blanks produced by friction stir welding", J. Manuf. Proc., 31, 310-323. https://doi.org/10.1016/j.jmapro.2017.11.009.   DOI
32 Son, S.J., Song, Y., Kim, N., Do, Y., Kwak, N., Lee, M.S. and Lee, B.D. (2019), "TW3-based fully automated bone age assessment system using deep neural networks", IEEE Access, 7, 33346-33358. https://doi.org/10.1109/ACCESS.2019.2903131.   DOI
33 Szegedy, C., Ioffe, S., Vanhoucke, V. and Alemi, A.A. (2017). "Inception-v4, inception-resnet and the impact of residual connections on learning", Proceeding of the 31st AAAI Conference on Artificial Intelligence, California, U.S.A. February.
34 Thompson, N.C., Greenewald, K., Lee, K. and Manso, G.F. (2020), "The computational limits of deep learning", arXiv preprint arXiv:2007.05558.
35 Ghazanfari, A., Soleimani, S.S., Keshavarzzadeh, M., Habibi, M., Assempuor, A. and Hashemi, R. (2020), "Prediction of FLD for sheet metal by considering through-thickness shear stresses", Mech. Based Des. Struct., 48(6), 755-772. https://doi.org/10.1080/15397734.2019.1662310.   DOI
36 Guo, Y., Mi, H. and Habibi, M. (2021b), "Electromechanical energy absorption, resonance frequency, and low-velocity impact analysis of the piezoelectric doubly curved system", Mech. Syst. Signal Proc., 157, 107723. https://doi.org/10.1016/j.ymssp.2021.107723.   DOI
37 Zheng, W., Xun, Y., Wu, X., Deng, Z., Chen, X. and Sui, Y. (2021), "A comparative study of class rebalancing methods for security bug report classification", IEEE T. Reliab., 70(4), 1658-1670. https://doi.org/10.1109/TR.2021.3118026.   DOI
38 Zhou, W., Yu, L., Zhou, Y., Qiu, W., Wu, M.W. and Luo, T. (2018), "Local and global feature learning for blind quality evaluation of screen content and natural scene images", IEEE T. Image Process., 27(5), 2086-2095. https://doi.org/10.1109/TIP.2018.2794207.   DOI
39 Shafiei, N., Kazemi, M. and Ghadiri, M. (2016d), "On size-dependent vibration of rotary axially functionally graded microbeam", Int. J. Eng. Sci., 101, 29-44. https://doi.org/10.1016/j.ijengsci.2015.12.008.   DOI
40 Shafiei, N., Kazemi, M. and Ghadiri, M. (2016a), "Comparison of modeling of the rotating tapered axially functionally graded Timoshenko and Euler-Bernoulli microbeams", Physica E, 83, 74-87. https://doi.org/10.1016/j.physe.2016.04.011.   DOI
41 Hosseini, S.M.R., Habibi, M. and Assempour, A. (2018), "Experimental and numerical determination of forming limit diagram of steel-copper two-layer sheet considering the interface between the layers", Modares Mech. Eng., 18(6), 174-181.
42 Zhang, X., Shamsodin, M., Wang, H., NoormohammadiArani, O., Khan, A.M., Habibi, M. and Al-Furjan, M.S.H. (2021c), "Dynamic information of the time-dependent tobullian biomolecular structure using a high-accuracy size-dependent theory", J. Biomol. Struct. Dyn., 39(9), 3128-3143. https://doi.org/10.1080/07391102.2020.1760939.   DOI
43 Wang, T., Wei, X., Wang, J., Huang, T., Peng, H., Song, X., Cabrera, L.V. and Perez-Jimenez, M.J. (2020a), "A weighted corrective fuzzy reasoning spiking neural P system for fault diagnosis in power systems with variable topologies", Eng. Appl. Artif. Intell., 92, 103680. https://doi.org/10.1016/j.engappai.2020.103680.   DOI
44 Zhou, C., Zhao, Y., Zhang, J., Fang, Y. and Habibi, M. (2020a), "Vibrational characteristics of multi-phase nanocomposite reinforced circular/annular system", Adv. Nano Res., 9(4), 295-307. https://doi.org/10.12989/anr.2020.9.4.295.   DOI
45 Li, J., Tang, F. and Habibi, M. (2020a), "Bi-directional thermal buckling and resonance frequency characteristics of a GNP-reinforced composite nanostructure", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-020-01110-y.   DOI
46 Huang, X., Hao, H., Oslub, K., Habibi, M. and Tounsi, A. (2021a), "Dynamic stability/instability simulation of the rotary size-dependent functionally graded microsystem", Eng. Comput., 1-17. https://doi.org/10.1007/s00366-021-01399-3.   DOI
47 Shariati, A., Jung, D.W., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020b), "Stability and dynamics of viscoelastic moving rayleigh beams with an asymmetrical distribution of material parameters", Symmetry, 12(4), 586. https://doi.org/10.3390/sym12040586.   DOI
48 Shariati, A., Jung, D.w., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020a), "On the vibrations and stability of moving viscoelastic axially functionally graded nanobeams", Materials, 13(7), 1707. https://doi.org/10.3390/ma13071707.   DOI
49 Shariati, A., Habibi, M., Tounsi, A., Safarpour, H. and Safa, M. (2021), "Application of exact continuum size-dependent theory for stability and frequency analysis of a curved cantilevered microtubule by considering viscoelastic properties", Eng. Comput., 37(4), 3629-3648. https://doi.org/10.1007/s00366-020-01024-9.   DOI
50 Huang, X., Zhu, Y., Vafaei, P., Moradi, Z. and Davoudi, M. (2021c), "An iterative simulation algorithm for large oscillation of the applicable 2D-electrical system on a complex nonlinear substrate", Eng. Comput., 1-13. https://doi.org/10.1007/s00366-021-01320-y.   DOI
51 Wenzel, A. and Melsen, B.J.H.b. (1982), "Replicability of assessing radiographs by the Tanner and Whitehouse-2 method", Human Biol., 575-581.
52 Larson, D.B., Chen, M.C., Lungren, M.P., Halabi, S.S., Stence, N.V. and Langlotz, C.P. (2018), "Performance of a deep-learning neural network model in assessing skeletal maturity on pediatric hand radiographs", Radiology. 287(1), 313-322. https://doi.org/10.1148/radiol.2017170236.   DOI
53 Halabi, S.S., Prevedello, L.M., Kalpathy-Cramer, J., Mamonov, A.B., Bilbily, A., Cicero, M., Pan, I., Pereira, L.A., Sousa, R.T., Abdala, N., Kitamura, F.C., Thodberg, H.H., Chen, L., Shih, G., Andriole, K., Kohli, M.D., Erickson, B.J. and Flanders, A.E. (2018), "The RSNA pediatric bone age machine learning challenge", Radiology. 290(2), 498-503. https://doi.org/10.1148/radiol.2018180736.   DOI
54 He, S., Guo, F., Zou, Q. and HuiDing (2020a), "MRMD2.0: A python tool for machine learning with feature ranking and reduction", Curr. Bioinform., 15(10), 1213-1221. https://doi.org/10.2174/1574893615999200503030350.   DOI
55 Shi, X., Li, J. and Habibi, M. (2020), "On the statics and dynamics of an electro-thermo-mechanically porous GPLRC nanoshell conveying fluid flow", Mech. Based Des. Struct., 1-37. https://doi.org/10.1080/15397734.2020.1772088.   DOI
56 Yildiz, M., Guvenis, A., Guven, E., Talat, D. and Haktan, M. (2011), "Implementation and statistical evaluation of a web-based software for bone age assessment", J. Med. Syst., 35(6), 1485-1489. https://doi.org/10.1007/s10916-009-9425-z.   DOI
57 Huo, J., Zhang, G., Ghabussi, A. and Habibi, M. (2021), "Bending analysis of FG-GPLRC axisymmetric circular/annular sector plates by considering elastic foundation and horizontal friction force using 3D-poroelasticity theory", Compos. Struct., 276, 114438. https://doi.org/10.1016/j.compstruct.2021.114438.   DOI
58 Liu, Z., Su, S., Xi, D. and Habibi, M. (2020a), "Vibrational responses of a MHC viscoelastic thick annular plate in thermal environment using GDQ method", Mech. Based Des. Struct., 1-26. https://doi.org/10.1080/15397734.2020.1784201.   DOI
59 Liu, Z., Wu, X., Yu, M. and Habibi, M. (2020b), "Large-amplitude dynamical behavior of multilayer graphene platelets reinforced nanocomposite annular plate under thermo-mechanical loadings", Mech. Based Des. Struct., 1-25. https://doi.org/10.1080/15397734.2020.1815544.   DOI
60 Liu, H., Zhao, Y., Pishbin, M., Habibi, M., Bashir, M.O. and Issakhov, A. (2021b), "A comprehensive mathematical simulation of the composite size-dependent rotary 3D microsystem via two-dimensional generalized differential quadrature method", Eng. Comput., 1-16. https://doi.org/10.1007/s00366-021-01419-2.   DOI
61 Zhang, B., Chen, Y.X., Wang, Z.G., Li, J.Q. and Ji, H.H. (2021a), "Influence of mach number of main flow on film cooling characteristics under supersonic condition", Symmetry, 13(1), 127. https://doi.org/10.3390/sym13010127.   DOI
62 Shafiei, N., Mousavi, A. and Ghadiri, M. (2016g), "Vibration behavior of a rotating non-uniform FG microbeam based on the modified couple stress theory and GDQEM", Compos. Struct., 149, 157-169. https://doi.org/10.1016/j.compstruct.2016.04.024.   DOI
63 Wu, X., Zheng, W., Xia, X. and Lo, D. (2021), "Data quality matters: A case study on data label correctness for security bug report prediction", IEEE T. Softw. Eng., 1-1. https://doi.org/10.1109/TSE.2021.3063727.   DOI
64 Yu, X., Maalla, A. and Moradi, Z. (2022), "Electroelastic highorder computational continuum strategy for critical voltage and frequency of piezoelectric NEMS via modified multi-physical couple stress theory", Mech. Syst. Signal Proc., 165, 108373. https://doi.org/10.1016/j.ymssp.2021.108373.   DOI
65 Woo, S., Park, J., Lee, J.Y. and Kweon, I.S. (2018). "Cbam: Convolutional block attention module", Proceedings of the European conference on computer vision (ECCV), Munich, Germany, September.
66 He, Y., Dai, L. and Zhang, H. (2020b), "Multi-branch deep residual learning for clustering and beamforming in user-centric network", IEEE Commun. Lett., 24(10), 2221-2225. https://doi.org/10.1109/LCOMM.2020.3005947.   DOI
67 Hou, F., Wu, S., Moradi, Z. and Shafiei, N. (2021), "The computational modeling for the static analysis of axially functionally graded micro-cylindrical imperfect beam applying the computer simulation", Eng. Comput., 1-19. https://doi.org/10.1007/s00366-021-01456-x.   DOI
68 Liu, R., Wang, X., Lu, H., Wu, Z., Fan, Q., Li, S. and Jin, X. (2021c), "SCCGAN: Style and characters inpainting based on CGAN", Mobile Netw. Appl., 26(1), 3-12. https://doi.org/10.1007/s11036-020-01717-x.   DOI
69 Lv, Z., Qiao, L., Hossain, M.S. and Choi, B.J. (2021b), "Analysis of using blockchain to protect the privacy of drone big data", IEEE Netw., 35(1), 44-49. https://doi.org/10.1109/MNET.011.2000154.   DOI
70 Wang, K., Wang, H. and Li, S. (2022), "Renewable quantile regression for streaming datasets", Knowl. Based Syst., 235, 107675. https://doi.org/10.1016/j.knosys.2021.107675.   DOI
71 Wu, J. and Habibi, M. (2021), "Dynamic simulation of the ultra-fast-rotating sandwich cantilever disk via finite element and semi-numerical methods", Eng. Comput., 1-17. https://doi.org/10.1007/s00366-021-01396-6.   DOI
72 Xu, W., Pan, G., Moradi, Z. and Shafiei, N. (2021), "Nonlinear forced vibration analysis of functionally graded non-uniform cylindrical microbeams applying the semi-analytical solution", Compos. Struct., 275, 114395. https://doi.org/10.1016/j.compstruct.2021.114395.   DOI
73 Zhang, S.Y., Liu, G., Ma, C.G., Han, Y.S., Shen, X.Z., Xu, R.L. and Thodberg, H.H. (2013), "Automated determination of bone age in a modern Chinese population", Int. Scholar. Res. Notices, 2013, 874570. https://doi.org/10.5402/2013/874570.   DOI
74 Zhang, Y., Shi, X., Zhang, H., Cao, Y. and Terzija, V. (2022), "Review on deep learning applications in frequency analysis and control of modern power system", Int. J. Electr. Power, 136, 107744. https://doi.org/10.1016/j.ijepes.2021.107744.   DOI
75 Zhang, A., Sayre, J.W., Vachon, L., Liu, B.J. and Huang, H.K. (2009), "Racial differences in growth patterns of children assessed on the basis of bone age", Radiology, 250(1), 228-235. https://doi.org/10.1148/radiol.2493080468.   DOI
76 Oyarhossein, M.A., Alizadeh, A.a., Habibi, M., Makkiabadi, M., Daman, M., Safarpour, H. and Jung, D.W. (2020), "Dynamic response of the nonlocal strain-stress gradient in laminated polymer composites micro-tubes", Sci. Rep., 10(1), 5616. https://doi.org/10.1038/s41598-020-61855-w.   DOI
77 Guo, J., Baharvand, A., Tazeddinova, D., Habibi, M., Safarpour, H., Roco-Videla, A. and Selmi, A. (2021a), "An intelligent computer method for vibration responses of the spinning multilayer symmetric nanosystem using multi-physics modeling", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-021-01433-4.   DOI
78 Zhao, Q., Sheng, T., Wang, Y., Tang, Z., Chen, Y., Cai, L. and Ling, H. (2019), "M2Det: A single-shot object detector based on multi-level feature pyramid network", Proceedings of the AAAI Conference on Artificial Intelligence, 33(1), 9259-9266. https://doi.org/10.1609/aaai.v33i01.33019259.   DOI
79 Fazaeli, A., Habibi, M. and Ekrami, A.A. (2016), "Experimental and finite element comparison of mechanical properties and formability of dual phase steel and ferrite - pearlite steel with the same chemical composition %J Metallurgical Engineering", Metall. Eng., 19(2), 84-93. https://doi.org/10.22076/me.2017.41458.1064.   DOI
80 Zhang, L., Chen, Z., Habibi, M., Ghabussi, A. and Alyousef, R. (2021b), "Low-velocity impact, resonance, and frequency responses of FG-GPLRC viscoelastic doubly curved panel", Compos. Struct., 269, 114000. https://doi.org/10.1016/j.compstruct.2021.114000.   DOI
81 Shafiei, N., Mousavi, A. and Ghadiri, M. (2016f), "On size-dependent nonlinear vibration of porous and imperfect functionally graded tapered microbeams", Int. J. Eng. Sci., 106, 42-56. https://doi.org/10.1016/j.ijengsci.2016.05.007.   DOI
82 Zhang, Y., Wang, Z., Tazeddinova, D., Ebrahimi, F., Habibi, M. and Safarpour, H. (2021d), "Enhancing active vibration control performances in a smart rotary sandwich thick nanostructure conveying viscous fluid flow by a PD controller", Wave. Random Complex., 1-24. https://doi.org/10.1080/17455030.2021.1948627.   DOI
83 Peng, D., Chen, S., Darabi, R., Ghabussi, A. and Habibi, M. (2021), "Prediction of the bending and out-of-plane loading effects on formability response of the steel sheets", Arch. Civil Mech. Eng., 21(2), 74. https://doi.org/10.1007/s43452-021-00227-1.   DOI
84 Roche, A.F., Roberts, J. and Hamill, P.V. (1974), Skeletal Maturity of Children 6-11 Years: Racial, Geographic Area, and Socioeconomic Differentials, United States, National Center for Health Statistics, Washington, D.C., U.S.A.
85 Ghadiri, M. and Shafiei, N. (2016a), "Nonlinear bending vibration of a rotating nanobeam based on nonlocal Eringen's theory using differential quadrature method", Microsyst. Technol., 22(12), 2853-2867. https://doi.org/10.1007/s00542-015-2662-9.   DOI
86 Shafiei, N., Kazemi, M. and Ghadiri, M. (2016b), "Nonlinear vibration behavior of a rotating nanobeam under thermal stress using Eringen's nonlocal elasticity and DQM", Appl. Phys. A, 122(8), 728. https://doi.org/10.1007/s00339-016-0245-y.   DOI
87 Shafiei, N., Kazemi, M. and Ghadiri, M. (2016c), "Nonlinear vibration of axially functionally graded tapered microbeams", Int. J. Eng. Sci., 102, 12-26. https://doi.org/10.1016/j.ijengsci.2016.02.007.   DOI
88 Shafiei, N., Kazemi, M., Safi, M. and Ghadiri, M. (2016e), "Nonlinear vibration of axially functionally graded non-uniform nanobeams", Int. J. Eng. Sci., 106, 77-94. https://doi.org/10.1016/j.ijengsci.2016.05.009.   DOI
89 Ghadiri, M., Hosseini, S.H.S. and Shafiei, N. (2016a), "A power series for vibration of a rotating nanobeam with considering thermal effect", Mech. Adv. Mater. Struct., 23(12), 1414-1420. https://doi.org/10.1080/15376494.2015.1091527.   DOI
90 Ghadiri, M. and Shafiei, N. (2016b), "Vibration analysis of a nano-turbine blade based on Eringen nonlocal elasticity applying the differential quadrature method", J. Vib. Control, 23(19), 3247-3265. https://doi.org/10.1177/1077546315627723.   DOI
91 Ghadiri, M., Shafiei, N., Salekdeh, S.H., Mottaghi, P. and Mirzaie, T. (2016d), "Investigation of the dental implant geometry effect on stress distribution at dental implant-bone interface", J. Brazil. Soc. Mech. Sci. Eng., 38(2), 335-343. https://doi.org/10.1007/s40430-015-0472-8.   DOI
92 Ghadiri, M., Mahinzare, M., Shafiei, N. and Ghorbani, K. (2017a), "On size-dependent thermal buckling and free vibration of circular FG Microplates in thermal environments", Microsyst. Technol., 23(10), 4989-5001. https://doi.org/10.1007/s00542-017-3308-x.   DOI
93 Ghadiri, M., Shafiei, N. and Alavi, H. (2017c), "Vibration analysis of a rotating nanoplate using nonlocal elasticity theory", J. Solid Mech., 9(2), 319-337.
94 Ghadiri, M., Shafiei, N. and Babaei, R. (2017d), "Vibration of a rotary FG plate with consideration of thermal and Coriolis effects", Steel Compos. Struct., 25(2), 197-207. https://doi.org/10.12989/SCS.2017.25.2.197.   DOI
95 Mirjavadi, S.S., Rabby, S., Shafiei, N., Afshari, B.M. and Kazemi, M. (2017d), "On size-dependent free vibration and thermal buckling of axially functionally graded nanobeams in thermal environment", Appl. Phys. A, 123(5), 315. https://doi.org/10.1007/s00339-017-0918-1.   DOI
96 Song, J., Gong, P., Gao, C., Han, Q., Li, X., Zhu, Z., Chen, H., Yu, Y. and Fang, X. (2019), "Construction and clinical preliminary validation of an automaticbone age assessment model based on deep learning", Chinese J. Radiol., 974-978.
97 Liu, H., Shen, S., Oslub, K., Habibi, M. and Safarpour, H. (2021a), "Amplitude motion and frequency simulation of a composite viscoelastic microsystem within modified couple stress elasticity", Eng. Comput., 1-15. https://doi.org/10.1007/s00366-021-01316-8.   DOI
98 Liu, Y., Wang, W., He, T., Moradi, Z. and Larco Benitez, M.A. (2021d), "On the modelling of the vibration behaviors via discrete singular convolution method for a high-order sector annular system", Eng. Comput., 1-23. https://doi.org/10.1007/s00366-021-01454-z.   DOI
99 Lv, Z., Singh, A.K. and Li, J. (2021c), "Deep learning for security problems in 5g heterogeneous networks", IEEE Netw., 35(2), 67-73. https://doi.org/10.1109/MNET.011.2000229.   DOI
100 Mirjavadi, S.S., Afshari, B.M., Shafiei, N., Hamouda, A., Kazemi, M. and Structures, C. (2017a), "Thermal vibration of two-dimensional functionally graded (2D-FG) porous Timoshenko nanobeams", Steel Compos. Struct., 25(4), 415-426. https://doi.org/10.12989/scs.2017.25.4.415.   DOI
101 Ghazanfari, A., Assempour, A., Habibi, M. and Hashemi, R. (2016), "Investigation on the effective range of the through thickness shear stress on forming limit diagram using a modified Marciniak-Kuczynski model", Modares Mech. Eng., 16(1), 137-143.
102 Zhong, L., Fang, Z., Liu, F., Yuan, B., Zhang, G. and Lu, J. (2021), "Bridging the theoretical bound and deep algorithms for open set domain adaptation", IEEE T. Neural Network., 1-15. https://doi.org/10.1109/TNNLS.2021.3119965.   DOI
103 Roche, A.F., Roberts, J. and Hamill, P.V. (1978), Skeletal Maturity of Youths 12-17 Years: Racial, Geographic Area, and Socioeconomic Differentials, National Center for Health Statistics, Washington, D.C., U.S.A.
104 Ghadiri, M., Shafiei, N. and Akbarshahi, A. (2016b), "Influence of thermal and surface effects on vibration behavior of nonlocal rotating Timoshenko nanobeam", Appl. Phys. A, 122(7), 673. https://doi.org/10.1007/s00339-016-0196-3.   DOI
105 Zhao, C., Liu, X., Zhong, S., Shi, K., Liao, D. and Zhong, Q. (2021a), "Secure consensus of multi-agent systems with redundant signal and communication interference via distributed dynamic event-triggered control", ISA T., 112, 89-98. https://doi.org/10.1016/j.isatra.2020.11.030.   DOI
106 Beunen, G. and Cameron, N. (1980), "The reproducibility of TW2 skeletal age assessments by a self-taught assessor", Annal. Human Biol., 7(2), 155-162. https://doi.org/10.1080/03014468000004181.   DOI
107 Moayedi, H., Ebrahimi, F., Habibi, M., Safarpour, H. and Foong, L.K. (2020c), "Application of nonlocal strain-stress gradient theory and GDQEM for thermo-vibration responses of a laminated composite nanoshell", Eng. Comput., 37(4), 3359-3374. https://doi.org/10.1007/s00366-020-01002-1.   DOI
108 Omidi, S., Oskooee, M.B. and Shafiei, N. (2013), "Finite element analysis of an ultra-fine grained Titanium dental implant covered by different thicknesses of hydroxyapatite layer", Indian J. Dentistry, 4(1), 1-4. https://doi.org/10.1016/j.ijd.2012.https://doi.org/10.002.   DOI
109 Lv, Z., Li, Y., Feng, H. and Lv, H. (2021a), "Deep learning for security in digital twins of cooperative intelligent transportation systems", IEEE T. Intell. Transp., 1-10. https://doi.org/10.1109/TITS.2021.3113779.   DOI
110 Wang, Z., Yu, S., Xiao, Z. and Habibi, M. (2020b), "Frequency and buckling responses of a high-speed rotating fiber metal laminated cantilevered microdisk", Mech. Adv. Mater. Struct., 1-14. https://doi.org/10.1080/15376494.2020.1824284.   DOI
111 Ghadiri, M. and Shafiei, N. (2016c), "Vibration analysis of rotating functionally graded Timoshenko microbeam based on modified couple stress theory under different temperature distributions", Acta Astronaut., 121, 221-240. https://doi.org/https://doi.org/10.1016/j.actaastro.2016.01.003.   DOI
112 Habibi, M., Hashemi, R., Ghazanfari, A., Naghdabadi, R. and Assempour, A. (2016), "Forming limit diagrams by including the M-K model in finite element simulation considering the effect of bending", Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications. 232(8), 625-636. https://doi.org/10.1177/1464420716642258.   DOI
113 Dai, Z., Jiang, Z., Zhang, L. and Habibi, M. (2021a), "Frequency characteristics and sensitivity analysis of a size-dependent laminated nanoshell", Adv. Nano Res., 10(2), 175-189. https://doi.org/10.12989/ANR.2021.10.2.175.   DOI
114 Ebrahimi, F. and Shafiei, N. (2016), "Application of Eringen's nonlocal elasticity theory for vibration analysis of rotating functionally graded nanobeams", Smart Struct. Syst., 17(5), 837-857. https://doi.org/10.12989/sss.2016.17.5.837.   DOI
115 Ebrahimi, F., Mohammadi, K., Barouti, M.M. and Habibi, M. (2021), "Wave propagation analysis of a spinning porous graphene nanoplatelet-reinforced nanoshell", Wave. Random Complex., 31(6), 1655-1681. https://doi.org/10.1080/17455030.2019.1694729.   DOI
116 Ghabussi, A., Habibi, M., NoormohammadiArani, O., Shavalipour, A., Moayedi, H. and Safarpour, H. (2020), "Frequency characteristics of a viscoelastic graphene nanoplatelet-reinforced composite circular microplate", J. Vib. Control, 27(1-2), 101-118. https://doi.org/10.1177/1077546320923930.   DOI
117 Jiao, J., Ghoreishi, S.M., Moradi, Z. and Oslub, K. (2021), "Coupled particle swarm optimization method with genetic algorithm for the static-dynamic performance of the magneto-electro-elastic nanosystem", Eng. Comput., 1-15. https://doi.org/10.1007/s00366-021-01391-x.   DOI
118 Shafiei, N. and Kazemi, M. (2017a), "Buckling analysis on the bi-dimensional functionally graded porous tapered nano-/micro-scale beams", Aerosp. Sci. Technol., 66, 1-11. https://doi.org/10.1016/j.ast.2017.02.019.   DOI
119 Shafiei, N. and Kazemi, M. (2017b), "Nonlinear buckling of functionally graded nano-/micro-scaled porous beams", Compos. Struct., 178, 483-492. https://doi.org/10.1016/j.compstruct.2017.07.045.   DOI
120 Hashemi, H.R., Alizadeh, A.a., Oyarhossein, M.A., Shavalipour, A., Makkiabadi, M. and Habibi, M. (2021), "Influence of imperfection on amplitude and resonance frequency of a reinforcement compositionally graded nanostructure", Wave. Random Complex., 31(6), 1340-1366. https://doi.org/10.1080/17455030.2019.1662968.   DOI
121 Moayedi, H., Aliakbarlou, H., Jebeli, M., Noormohammadiarani, O., Habibi, M., Safarpour, H. and Foong, L.K. (2020a), "Thermal buckling responses of a graphene reinforced composite micropanel structure", 12(1), 2050010. https://doi.org/10.1142/s1758825120500106.   DOI
122 Huang, X., Zhang, Y., Moradi, Z. and Shafiei, N. (2021b), "Computer simulation via a couple of homotopy perturbation methods and the generalized differential quadrature method for nonlinear vibration of functionally graded non-uniform micro-tube", Eng. Comput., 1-18. https://doi.org/10.1007/s00366-021-01395-7.   DOI
123 Ma, L., Liu, X. and Moradi, Z. (2021), "On the chaotic behavior of graphene-reinforced annular systems under harmonic excitation", Eng. Comput., 1-25. https://doi.org/10.1007/s00366-020-01210-9.   DOI
124 Medicus, H., Gron, A.M. and Moorrees, C.F.A. (1971), "Reproducibility of rating stages of osseous development. (Tanner-Whitehouse system)", 35(3), 359-371. https://doi.org/10.1002/ajpa.1330350311.   DOI
125 Mirjavadi, S.S., Matin, A., Shafiei, N., Rabby, S. and Mohasel Afshari, B. (2017b), "Thermal buckling behavior of two-dimensional imperfect functionally graded microscale-tapered porous beam", J. Therm. Stress., 40(10), 1201-1214. https://doi.org/10.1080/01495739.2017.1332962.   DOI
126 Mirjavadi, S.S., Mohasel Afshari, B., Shafiei, N., Rabby, S. and Kazemi, M. (2017c), "Effect of temperature and porosity on the vibration behavior of two-dimensional functionally graded micro-scale Timoshenko beam", J. Vib. Control, 24(18), 4211-4225. https://doi.org/10.1177/1077546317721871.   DOI
127 Moradi, Z., Davoudi, M., Ebrahimi, F. and Ehyaei, A.F. (2021), "Intelligent wave dispersion control of an inhomogeneous micro-shell using a proportional-derivative smart controller", Wave. Random Complex., 1-24. https://doi.org/10.1080/17455030.2021.1926572.   DOI
128 Alshamrani, K., Messina, F. and Offiah, A.C. (2019), "Is the Greulich and Pyle atlas applicable to all ethnicities? A systematic review and meta-analysis", Eur. Radiol., 29(6), 2910-2923. https://doi.org/10.1007/s00330-018-5792-5.   DOI
129 Moayedi, H., Darabi, R., Ghabussi, A., Habibi, M. and Foong, L.K. (2020b), "Weld orientation effects on the formability of tailor welded thin steel sheets", Thin Wall. Struct., 149, 106669. https://doi.org/https://doi.org/10.1016/j.tws.2020.106669.   DOI