1. Bone Bioengineering Laboratory, Department of Biomedical Engineering, Columbia University, New York, NY 10027
2. Bone Bioengineering Laboratory, Department of Biomedical Engineering, Columbia University, New York, NY 10027;
3. Department of Orthopedic Surgery, First Affiliated Hospital, School of Medicine, Shihezi University, Shihezi, Xinjiang 94720, China
4. Orthopaedic Biomechanics Laboratory, Department of Mechanical Engineering, University of California, Berkeley, CA 94720
5. Division of Endocrinology, Department of Medicine, Columbia University, New York, NY 10031
6. Bone Bioengineering Laboratory, Department of Biomedical Engineering, Columbia University, 351 Engineering Terrace, Amsterdam Avenue, New York, NY 10027 e-mail: