Publications
Selected Publications
Slade, P., Atkeson, C. G., Donelan, J. M., Houdijk, H., Ingraham, K. A., Kim, M., Kong, K., Poggensee, K. L., Riener, R., Steinert, M., Zhang, J., Collins, S. H. (2024) On human-in-the-loop optimization of human-robot interaction. Nature, 633:779-788. Article | PDF
Krimsky, E., Collins, S. H. (2024) Elastic energy-recycling actuators for efficient robots. Science Robotics, 9:adj7246. Article | PDF | Supplementary Material | Double-Clutch | Exploded View | Step Response | Bandwidth Test | Representative Tasks | Presentation
Slade, P., Kochenderfer, M. J., Delp, S. L., Collins, S. H. (2022) Personalizing exoskeleton assistance while walking in the real world. Nature, 610:277-282. Article | PDF | High-Speed Video | Time-Lapse Video | Results Data | Optimization Code | Training Data and Code | Exoskeleton CAD | Explainer Video
Poggensee, K. L., Collins, S. H. (2021) How adaptation, training, and customization contribute to benefits from exoskeleton assistance. Science Robotics, 6:eabf1078.
Article | PDF | SuppMatt | Optimization Video | Validation Video | Data
Bryan*, G. M., Franks*, P. W., Klein, S. C., Peuchen, R. J., Collins, S. H. (2020) A hip–knee–ankle exoskeleton emulator for studying gait assistance. International Journal of Robotics Research, 40:722-746.
Article | PDF | Walking | Adjusting | Benchtop | Survey | BoM | CAD | Thread
Chiu, V. L., Voloshina, A. S., Collins, S. H. (2019) An ankle-foot prosthesis emulator capable of modulating center of pressure. Transactions on Biomedical Engineering, 67:166-176.
Article | PDF | Cover | CAD | Photos | Explainer Video | Thread
Zhang, J., Fiers, P., Witte, K. A., Jackson, R. W., Poggensee, K. L., Atkeson, C. G., Collins, S. H. (2017) Human-in-the-loop optimization of exoskeleton assistance during walking. Science, 356:1280-1284.
Article | PDF | Supplementary PDF | Optimization Code | Study Data | Photos | Videos
Diller, S., Majidi, C., Collins, S. H. (2016) A lightweight, low-power electroadhesive clutch and spring for exoskeleton actuation. In Proceedings International Conference on Robotics and Automation, pages 682-689.
Article | PDF | Videos | Explainer Video | Thread
Collins, S. H., Wiggin, M. B., Sawicki, G. S. (2015) Reducing the energy cost of human walking using an unpowered exoskeleton. Nature, 522:212-215.
Article | PDF | SuppMat | Drawings | CAD | Results Table | Data | Photos | Videos
Caputo, J. M., Collins, S. H. (2014) A universal ankle-foot prosthesis emulator for human locomotion experiments. Journal of Biomechanical Engineering, 136:035002.
Article | PDF | History | 3D PDF | BoM | CAD Files | Code | Videos
Collins, S. H., Adamczyk, P. G., Kuo, A. D. (2009) Dynamic arm swinging in human walking. Proceedings of the Royal Society of London B., 276:3679-3688. Article | PDF | Supporting PDF | Videos
Collins, S. H., Ruina, A., Tedrake, R., Wisse, M. (2005) Efficient bipedal robots based on passive dynamic walkers. Science, 307:1082-1085. Article | PDF | Supporting PDF | Videos
Collins, S. H., Wisse, M., Ruina, A. (2001) A three-dimensional passive-dynamic walking robot with two legs and knees. The International Journal of Robotics Research, 20:607-615. Article | PDF | Videos
Additional Journal Articles
Raitor, M., Ruggles, S., Delp, S. L., Liu, C. K., Collins, S. H. (2024) Lower-limb exoskeletons appeal to both clinicians and older adults, especially for fall prevention and joint pain reduction. Transactions on Neural Systems and Rehabilitation Engineering, 32:1577-1585. Article | PDF | Supplementary Materials
Lakmazaheri, A., Song, S., Vuong, B. B., Biskner, B., Kado, D. M., Collins, S.H. (2024) Optimizing exoskeleton assistance to improve walking speed and energy economy for older adults. Journal of NeuroEngineering and Rehabilitation, 21:1. Article | PDF
Poggensee, K. L., Collins, S.H. (2024) Lower limb biomechanics of fully trained exoskeleton users reveal complex mechanisms behind the reductions in energy cost with human-in-the-loop optimization. Frontiers in Robotics and AI, 11:1283080. Article | PDF | Validation Video | Data
Werling, K., Bianco, N.A., Raitor, M., Stingel, J., Hicks, J.L., Collins, S.H., Delp, S.L., Liu, C.K. (2023) AddBiomechanics: Automating model scaling, inverse kinematics, and inverse dynamics from human motion data through sequential optimization. PLoS ONE, 18:e0295152.
Article | PDF | Code | addbiomechanics.org
Welker, C. G., Collins, S. H., Okamura, A. M. (2022) Human perception of wrist flexion and extension torque during upper and lower extremity movement. Transactions on Haptics, 15:741-752.
Article | PDF
Butterfield, J. K., Simha, S. N., Donelan, J. M., Collins, S. H. (2022) The split-belt rimless wheel. The International Journal of Robotics Research, 41:955-1076.
Article | PDF | Split-Belt Machine | Simulation Video | CAD | Robot Video
Miller, D. E., Tan, G. R., Farina, E. M., Sheets-Singer, A. L., Collins, S. H. (2022) Characterizing the relationship between peak assistance torque and metabolic cost reduction during running with ankle exoskeletons. Journal of NeuroEngineering and Rehabilitation, 19:46.
Article | PDF | Thread
Franks, P. W., Bryan, G. M., Reyes, R., O'Donovan, M. P., Gregorczyk, K. N., Collins, S. H. (2022) The effects of incline level on optimized lower-limb exoskeleton assistance: a case series. Transactions on Neural Systems and Rehabilitation Engineering, 30:2494-2505.
Article | PDF
Abram, S. J., Poggensee, K. L., Sánchez, N., Simha, S. N., Finley, J. M., Collins, S. H., Donelan, J. M. (2022) General variability leads to specific adaptation toward optimal movement policies. Current Biology, 32:1-11.
Article | PDF | Thread
Butterfield, J. K., Collins, S. H. (2022) The energy cost of split-belt walking for a variety of belt speed combinations. Journal of Biomechanics, 132:110905.
Article | PDF | Thread | Split-Belt Machine
Song, S., Collins, S. H. (2021) Optimizing exoskeleton assistance for faster self-selected walking. Transactions on Neural Systems & Rehabilitation Engineering, 29:786-795.Article | PDF | Condition Video | Participants Video | Thread
Franks, P. W., Bryan, G. M., Martin, R. M., Reyes, R., Lakmazaheri, A. C., Collins, S. H. (2021) Comparing optimized exoskeleton assistance of the hip, knee, and ankle in single and multi-joint configurations. Wearable Technologies, 2:e16. Article | PDF
Chiu, V. L., Voloshina, A. S., Collins, S. H. (2021) The effects of ground-irregularity-cancelling prosthesis control on balance over uneven surfaces. Royal Society Open Science, 8:201235.Article | PDF | Conditions Video | Slow Motion | Treadmill Build Guide | Thread
Slade, P., Kochenderfer, M. J., Delp, S. L., Collins, S. H. (2021) Sensing leg movement enhances wearable monitoring of energy expenditure. Nature Communications, 12:1-11.
Article | PDF | Explainer Video
Yang, G. Z., Collins, S. H., Dario, P., Fischer, P., Goldberg, K., Laschi, C., McNutt, M. K (2021) Five years of Science Robotics. Science Robotics, 6:eabn2720.
Article | PDF
Caputo, J. M., Dvorak, E., Shipley, K., Miknevich, M. A., Adamczyk, P. G., Collins, S. H. (2021) Robotic emulation of candidate prosthetic foot designs may enable efficient, evidence-based, and individualized prescriptions. Journal of Prosthetics and Orthotics.
Article | PDF
Bryan, G. M., Franks, P. W., Song, S., Reyes, R., O'Donovan, M. P., Gregorczyk, K. N., Collins, S. H. (2021) Optimized hip-knee-ankle exoskeleton assistance reduces the metabolic cost of walking with worn loads. Journal of NeuroEngineering and Rehabilitation, 18:161.
Article | PDF | Thread
Chiu, V. L., Raitor, M., Collins, S. H. (2021) Design of a hip exoskeleton with actuation in frontal and sagittal planes. Transactions on Medical Robotics and Bionics, 3:773-782.
Article | PDF | Video | CAD
Bryan, G. M., Franks, P. W., Song, S., Voloshina, A. S., Reyes, R., O'Donovan, M. P., Gregorczyk, K. N., Collins, S. H. (2021) Optimized hip–knee–ankle exoskeleton assistance at a range of walking speeds. Journal of NeuroEngineering and Rehabilitation, 18:152.
Article | PDF | Supplementary PDF | Thread
Welker, C. G., Chiu, V. L., Voloshina, A. S., Collins, S. H. (2021) Shortcomings of human-in-the-loop optimization of an ankle-foot prosthesis emulator: a case series. Royal Society Open Science, 8:202020.
Article | PDF | Thread
Zhang, J., Collins, S. H. (2021) The iterative learning gain that optimizes real-time torque tracking for ankle exoskeletons in human walking under gait variations. Frontiers in Neurorobotics, 15:65.
Article | PDF
Welker, C. G., Chiu, V. L., Voloshina, A., Collins, S. H., Okamura, A. M. (2021) Teleoperation of an ankle-foot prosthesis with a wrist exoskeleton. Transactions on Biomedical Engineering, 68:1714-1725.
Article | PDF | Cover | Video | Thread
Tan*, G. R., Raitor*, M., Collins, S. H. (2020) Bump’em: an open-source, bump-emulation system for studying human balance and gait. In Proceedings International Conference on Robotics and Automation, pages 9093-9099.Article | PDF | System Video | Talk Video | Design Materials | Thread
Witte, K. A., Fiers, P., Sheets-Singer, A. L., Collins, S. H. (2020) Improving the energy economy of human running with powered and unpowered ankle exoskeleton assistance. Science Robotics, 5:eaay9108.Article | PDF | Supplementary PDF | Experiment Video | Explainer Video | Thread
Song, S., Choi, H., Collins, S. H. (2020) Using force data to self-pace an instrumented treadmill and measure self-selected walking speed. Journal of NeuroEngineering and Rehabilitation, 17:68.Article | PDF | Video | Data | Code and Instructions | Thread
Nguyen, T. M., Jackson, R. W., Aucie, Y., de Kam, D., Collins, S. H., Torres-Oviedo, G. (2020) Self-selected step length asymmetry is not explained by energy cost minimization in individuals with chronic stroke. Journal of NeuroEngineering and Rehabilitation, 17:119.
Article | PDF | Thread
Kim, M., Lyness, H., Chen, T., Collins, S. H. (2020) The effects of prosthesis inversion/eversion stiffness on balance-related variability during level walking: a pilot study. Journal of Biomechanical Engineering, 142:091011.
Article | PDF
Yang, G.-Z., Nelson, B. J., Murphy, R. R., Choset, H., Christensen, H., Collins, S. H., Dario, P., Goldberg, K., Ikuta, K., Jacobstein, N., Kragic, D., Taylor, R. H., McNutt, M. (2020) Combating COVID-19—The role of robotics in managing public health and infectious diseases. Science Robotics, 5:eabb5589.
Article | PDF
Simpson, C.S., Welker, C.G., Uhlrich, S.D., Sketch, S.M., Jackson, R.W., Delp, S.L., Collins, S.H., Selinger, J.C., Hawkes, E.W. (2019) Connecting the legs with a spring improves human running economy. Journal of Experimental Biology, 222:jeb202895.
Article | PDF | Supplementary Information | Cover
Jackson, R. W., Collins, S. H. (2019) Heuristic-based ankle exoskeleton control for co-adaptive assistance of human locomotion. Transactions on Neural Systems and Rehabilitation Engineering, 27:2059-2069.
Article | PDF | Video
Slade, P., Troutman, R., Kochenderfer, M. J., Collins, S. H., Delp, S. L. (2019) Rapid energy expenditure estimation for ankle assisted and inclined loaded walking. Journal of NeuroEngineering and Rehabilitation, 16:67.
Article | PDF
Diller, S. B., Collins, S. H., Majidi, C. (2018) The effects of electroadhesive clutch design parameters on performance characteristics. Journal of Intelligent Material Systems and Structures, 29:3804-3828.
Article | PDF | Videos
Kim, M., Chen, T., Chen, T., Collins, S. H. (2018) An ankle-foot prosthesis emulator with control of plantarflexion and inversion-eversion torque. Transactions on Robotics, 34:1183-1194.
Article | PDF | Main Video | Walking Video | Two Toes | Talk Video
Jackson, R. W., Dembia, C. L., Delp, S. L., Collins, S. H. (2017) Muscle-tendon mechanics explain unexpected effects of exoskeleton assistance on metabolic rate during walking. Journal of Experimental Biology, 220:2082-2095.
Article | PDF | Supplementary PDF
Kim, M., Collins, S. H. (2017) Once-per-step control of ankle push-off work improves balance in a three-dimensional simulation of bipedal walking. Transaction on Robotics, 33:406-418.
Article | PDF | Animation
Zhang, J., Collins, S. H. (2017) The passive series stiffness that optimizes torque tracking for a lower-limb exoskeleton in human walking. Frontiers in Neurorobotics, 11:68.
Article | PDF
Kim, M., Collins, S. H. (2017) Step-to-step ankle inversion/eversion torque modulation can reduce effort associated with balance. Frontiers in Neurorobotics, 11:62.
Article | PDF
Steele, K. M., Jackson, R. W., Shuman, B., Collins, S. H. (2017) Muscle recruitment and coordination with an ankle exoskeleton. Journal of Biomechanics, 59:50-58.
Article | PDF
Galle, S., Malcolm, P., Collins, S. H., De Clercq, D. (2017) Reducing the metabolic cost of walking with an ankle exoskeleton: interaction between actuation timing and power. Journal of NeuroEngineering and Rehabilitation, 14:35.
Article | PDF | Supplementary PDF
Quesada, R. E., Caputo J. M., Collins, S.H. (2016) Increasing ankle push-off work with a powered prosthesis does not necessarily reduce metabolic rate for transtibial amputees. Journal of Biomechanics, 49:3452-3459.
Article | PDF | Supplementary PDF | Source Data
Jackson, R. W., Collins, S. H. (2015) An experimental comparison of the relative benefits of work and torque assistance in ankle exoskeletons. Journal of Applied Physiology, 119:541-557.
Article | PDF | Data | Video
Kim, M., Collins, S. H. (2015) Once-per-step control of ankle-foot prosthesis push-off work reduces effort associated with balance during human walking. Journal of NeuroEngineering and Rehabilitation, 12:43.
Article | PDF | Supplementary PDF | Video
Malcolm, P., Quesada, R. E., Caputo, J. M., Collins, S. H. (2015) The influence of push-off timing in a robotic ankle-foot prosthesis on the energetics and mechanics of walking. Journal of NeuroEngineering and Rehabilitation, 12:21.
Article | PDF | Supplementary PDF | Video
Caputo, J. M., Collins, S. H. (2014) Prosthetic ankle push-off work reduces metabolic rate but not collision work in non-amputee walking. Scientific Reports, 4:7213.
Article | PDF | Supplementary PDF | Video
Collins, S. H., Kuo, A. D. (2010) Recycling energy to restore impaired ankle function during human walking. Public Library of Science ONE, 5:e9307.
Article | PDF | Supporting PDF | High-speed Video | Images
Additional Book Chapters
Witte, K. A., and Collins, S. H. (2020) Design of lower-limb exoskeletons and emulator systems. In Wearable Robotics: Systems and Applications, with editors Ferguson, P. W., Rosen, J., Elsevier, Chapter 22, pages 251-274.
Chapter | PDF | BOM | CAD
Voloshina, A. S., and Collins, S. H. (2020) Lower limb active prosthetic systems—overview. In Wearable Robotics: Systems and Applications, with editors Ferguson, P. W., Rosen, J., Elsevier, Chapter 23, pages 469-486.
Chapter | PDF
Zhang, J., Cheah, C. C., and Collins, S. H. (2017) Torque control in legged locomotion. In Bio-Inspired Legged Locomotion: Models, Concepts, Control and Applications, with editors Sharbafi, M., Seyfarth, A., Butterworth-Heinemann, Chapter 5, pages: 347-395.
Book | Chapter PDF | Supplementary PDF
Additional Conference Proceedings
Bryan, G. M., Franks, P. W., Song, S., Collins, S. H. (2024) Pilot comparison of customized and generalized hip-knee-ankle exoskeleton torque profiles. In Proceedings International Conference on Robotics and Automation, pages 3256-3261.
Article | PDF
Krimsky, E., Collins, S. H. (2020) Optimal control of an energy-recycling actuator for mobile robotics applications. In Proceedings International Conference on Robotics and Automation, pages 3559-3565.
Article | PDF | Video | Talk Video
Franks*, P. W., Bianco*, N. A., Bryan, G. M., Hicks, J. L., Delp, S. L., Collins, S. H. (2020) Testing simulated assistance strategies on a hip-knee-ankle exoskeleton: a case study. In Proceedings IEEE International Conference on Biomedical Robotics and Biomechatronics, pages 700-707. *contributed equally.
Article | PDF | Talk Video | Video | Thread
Witte, K. A., Fatschel, A. M., Collins, S. H. (2017) Design of a lightweight, tethered, torque-controlled knee exoskeleton. In Proceedings IEEE International Conference on Rehabilitation Robotics, pages 1646-1653.
Article | PDF | Bandwidth Video
Caputo, J. M., Adamczyk, P. G., Collins, S. H. (2015) Informing ankle-foot prosthesis prescription through haptic emulation of candidate devices. In Proceedings IEEE International Conference on Robotics and Automation, pages 6445-6450.
Article | PDF | Video
Collins, S. H., Kim, M., Chen, T., Chen, T. (2015) An ankle-foot prosthesis emulator with control of plantarflexion and inversion-eversion torque. In Proceedings IEEE International Conference on Robotics and Automation, pages 1210-1216.
Article | PDF | Main Video | Walking Video | Two Toes | Talk Video
Witte, K. A., Zhang, J., Jackson, R. W., Collins, S.H. (2015) Design of two lightweight, high-bandwidth torque-controlled ankle exoskeletons. In Proceedings IEEE International Conference on Robotics and Automation, pages 1223-1228.
Article | PDF | Video
Zhang, J., Cheah, C., C., Collins, S.H. (2015) Experimental comparison of torque control methods on an ankle exoskeleton during human walking. In Proceedings IEEE International Conference on Robotics and Automation, pages 5584-5589.
Article | PDF
Collins, S. H., Caputo, J. M., Adamczyk, P. G. (2014) Emulating prosthetic feet during the prescription process to improve outcomes and justifications. In Proceedings IEEE Workshop on Advanced Robotics and its Social Impacts, pages 127-128.
Article | PDF
Collins, S. H. (2013) What do walking humans want from mechatronics? (Invited presentation). In Proceedings International Conference on Mechatronics, pages 24-27.
Article | PDF
Collins, S. H., Jackson, R. W. (2013) Inducing self-selected human engagement in robotic locomotion training. In Proceedings International Conference on Rehabilitation Robotics, 6 pages.
Article | PDF
Kim, M., Collins, S. H. (2013) Stabilization of a three-dimensional limit cycle walking model through step-to-step ankle control. In Proceedings International Conference on Rehabilitation Robotics, 6 pages.
Article | PDF
Caputo, J. M., Collins, S. H. (2013) An experimental robotic testbed for accelerated development of ankle prostheses. In Proceedings International Conference on Robotics and Automation, pages 2630-2635.
Article | PDF
Zhang, J., Cheah, C. C., Collins, S. H. (2013) Stable human-robot interaction control for upper-limb rehabilitation robotics. In Proceedings International Conference on Robotics and Automation, pages 2201-2206.
Article | PDF
Song, S., LaMontagna, C., Collins, S. H., Geyer, H. (2013) The effect of foot compliance encoded in the windlass mechanism on the energetics of human walking. In Proceedings International Conference of the Engineering in Medicine and Biology Society, pages 3179-3182.
Article | PDF
Wiggin, M. B., Sawicki, G. S., Collins, S. H. (2011) An exoskeleton using controlled energy storage and release to aid ankle propulsion. In Proceedings International Conference on Rehabilitation Robotics, 6 pages.
Article | PDF
Collins, S. H., Ruina, A. (2005) A bipedal walking robot with efficient and human-like gait. In Proceedings International Conference on Robotics and Automation, pages 1983-1988.
Article | PDF
Pratt, J. E., Krupp, B. T., Morse, C. J., Collins, S. H. (2004) The RoboKnee: an exoskeleton for enhancing strength and endurance during walking. In Proceedings International Conference on Robotics and Automation, pages 2430-2435.
Article | PDF | Video
Preprints
Wu, M. R., Adamczyk, P. G., Collins, S. H. (2021) Weighted shoes in the wild: Initial insights into the relationship between the effort of walking and the amount of walking performed. On bioRxiv. Article
Dissertations and Theses
Guan Rong Tan (2023) Design of exoskeletons and robotic tools for improving mobility. PhD Dissertation, Dept. of Mechanical Engineering, Stanford University, 95 pages. PDF
Erez Krimsky (2023) Elastic energy-recycling actuators for efficient robotics. PhD Dissertation, Dept. of Mechanical Engineering, Stanford University, 122 pages. PDF
Julia K. Butterfield (2022) The energetics of split-belt walking. PhD Dissertation, Dept. of Mechanical Engineering, Stanford University, 168 pages. PDF
Thu Nguyen (2022) Towards assisting walking in individuals with chronic stroke using exoskeletons. PhD Dissertation, Dept. of Mechanical Engineering, Stanford University, 71 pages. PDF
Patrick Slade (2021) Wearable systems for monitoring physical activity and optimizing exoskeletons. PhD Dissertation, Dept. of Mechanical Engineering, Stanford University, 79 pages. PDF
Cara G. Welker (2021) Sensorimotor control of lower-limb assistive devices. PhD Dissertation, Dept. of Bioengineering, Stanford University, 139 pages. PDF
Gwendolyn M. Bryan (2021) Development of effective hip-knee-ankle exoskeleton assistance for different walking conditions. PhD Dissertation, Dept. of Mechanical Engineering, Stanford University, 138 pages. PDF
Patrick W. Franks (2021) Designing multi-joint exoskeleton assistance. PhD Dissertation, Dept. of Mechanical Engineering, Stanford University, 152 pages. PDF
Katherine L. Poggensee (2021) Understanding the human contribution to the human-exoskeleton system. PhD Dissertation, Department of Mechanical Engineering, Stanford University, 152 pages. PDF
Vincent L. Chiu (2021) Design and testing of an ankle-foot prosthesis and a hip exoskeleton to improve balance-related outcomes and prevent falls. PhD Dissertation, Department of Mechanical Engineering, Stanford University, 128 pages. PDF
Stuart B. Diller (2018) Design, characterization, and implementation of lightwieght and energy-efficient electroadhesive clutches for robotics. PhD Dissertation, Department of Mechanical Engineering, Carnegie Mellon University, 125 pages. PDF
Kirby Ann Witte (2018) Design, characterization, and implementation of lower-limb exoskeletons for performance augmentation during walking and running. PhD Dissertation, Department of Mechanical Engineering, Carnegie Mellon University, 166 pages. PDF
Rachel W. Jackson (2017) Developing ankle exoskeleton assistance strategies by leveraging the mechanisms involved in human locomotion. PhD Dissertation, Department of Mechanical Engineering, Carnegie Mellon University, 152 pages. PDF
Juanjuan Zhang (2016) Towards systematic controller design in rehabilitation robots. PhD Dissertation, Department of Mechanical Engineering, Carnegie Mellon University, 271 pages. PDF
Blair J. Emanuel (2016) A Disturbance emulation device for stability and recovery testing. Master's thesis, Department of Mechanical Engineering, Carnegie Mellon University, 6 pages. PDF
James Gabriel (2016) Design and Deployment of a knee prosthesis emulator system. Master's thesis, Department of Mechanical Engineering, Carnegie Mellon University, 6 pages. PDF
Myunghee Kim (2015) Ankle controller design for robotic ankle-foot prostheses to reduce balance-related effort during walking using a dynamic walking approach. PhD Dissertation, Department of Mechanical Engineering, Carnegie Mellon University, 205 pages. PDF
Joshua M. Caputo (2015) Informing ankle-foot prosthesis design and prescription through systematic experimentation with a tethered robotic prosthesis. PhD Dissertation, Department of Mechanical Engineering, Carnegie Mellon University, 154 pages. PDF
van Zijl, L. H. F. (2009) Changing Speed in a Simple Walker with Dynamic One-Step Transitions. Master's thesis, Department of BioMechanical Engineering, Delft University of Technology, 20 pages. PDF
Additional prior publications by Prof. Collins are available at his archive website. You can learn more about our spinoff companies on our commercial translation page. Please contact us if you have difficulty accessing any article or related materials: stevecollins@stanford.edu.