Studies of human locomotion via optimal programming. (English) Zbl 0215.59305


92C99 Physiological, cellular and medical topics
Full Text: DOI


[1] Bernstein, N., Technique of the study of movements, (1934), Gossidat Moscow
[2] Fenn, W.O., The mechanics of muscular contraction in man, J. appl. physiol., 9, 165, (1938)
[3] Fenn, W.O., Work against gravity and work due to velocity changes in running, Amer. J. physiol., 93, 433, (1930), No.
[4] Steindler, A., Mechanics of normal and pathological locomotion, (1935), Charles C. Thomas, Publisher Springfield, Ill
[5] Elftman, H., Biomechanics of muscle, J. bone and joint surgery, 48A, (March, 1966), No. 2
[6] Elftman, H., The basic pattern of human locomotion, Ann. New York acad. sci., 51, 1207, (1951), No.
[7] Elftman, H., Skeletal and muscular systems: structure and function, (), 1420
[8] Elftman, H., Forces and energy changes in the leg during walking, Amer. J. physiol., 125, 339-356, (1939)
[9] Liberson, W.T., Biomechanics of gait: a method of study, Arch. phys. med. rehabilitation, (Jan. 1965)
[10] Wilson, P.D.; Klopsteg, P.E., Human limbs and their substitutes, (1968), McGraw-Hill New York
[11] Close, J.R., Motor function in the lower extremity, ()
[12] Fundamental studies of human locomotion and other information relating to design of artificial limbs, Rep. to national research council artificial limbs, (1947)
[13] Bresler, B.; Frankel, J.P., The forces and moments in the leg during level walking, Trans. amer. soc. mech. engs., 27, (Jan. 1950)
[14] Crochetierre, W.J.; Vodvnik, L.; Reswick, J.B., Electrical stimulation of skeletal muscle—a study of muscle as an actuator, Med. bio. eng., 5, 111-125, (1967)
[15] Crochetierre, W.J.; Vodvnik, L.; Reswick, J.B., Control of a skeletal joint by electrical stimulation of antagonists, Med. bio. eng., 5, 97-109, (1967)
[16] Scott, R.N., Myo-electric control systems, ()
[17] Milner, M.; Quanbury, A.O.; Edwards, E.P., Progress report no. 1—human locomotion by ordered electro-stimulation of the available musculature, ()
[18] Milner, M.; Quanbury, A.O.; Edwards, E.P., Progress report no. 2—human locomotion by ordered electro-stimulation of the available musculature, ()
[19] Milner, M.; Quanbury, A.O.; Edwards, E.P., Progress report no. 3—analysis of footswitch data in walking, ()
[20] Milner, M.; Quanbury, A.O.; Edwards, E.P., Progress report no. 4—analysis of muscle activities at various speeds and pace periods from EMG’s with indwelling electrodes, ()
[21] Mountcastle, V.B., Medical physiology, Vol. 2, (1968), C.V. Mosby St. Louis
[22] Vukobratovic, M.; Juričič, D., Contribution to the synthesis biped gait, IEEE trans. bio-med. eng., BME-16, (1969), No. 1
[23] Vukobratovic, M.; Frank, A.A.; Juričič, D., On the stability of biped locomotion, IEEE trans. bio-med. eng., BME-17, (1970), No. 1
[24] Tomovic, R., Outline of a control theory of prosthetics, () · Zbl 0103.12404
[25] Ralston, H.J., Energy-speed relations and optimal speed during level walking, Int. S. angew. physiol. einschl arbeitsphysiol., 17, 277-283, (1958)
[26] Cotes, J.E.; Meade, F., The energy expenditure and mechanical energy demand in walking, Ergonomics, (Apr., 1960)
[27] Nubar, Y.; Contini, R., A minimal principle in bio-mechanics, Bull. math. biophys., 23, 377-390, (1961) · Zbl 0108.32802
[28] Beckett, R.; Chang, K., An evaluation of the kinematics of gait by minimum energy, T. biomech., 1, 147-159, (1968)
[29] Vukobratovic, M.; Marić, M.; Garvilovic, M., An approach to the synthesis of lower-extremity control, (), 206-211
[30] Hill, J.C., A model of the human postural control system, 8th IEEE symp. adaptive processes: decision and control, (Dec. 1969)
[31] Inman, V.T., Human locomotion, Can. med. assoc. J., 94, 1047-1054, (1966)
[32] Lissner, H.R.; Williams, W., Biomechanics of human motion, (1962), W.B. Sanders Philadelphia
[33] Galiana, H.L., Modelling the human leg in walking, () · Zbl 0721.92005
[34] Wallach, J.; Saibel, E., Control mechanism performance criterion for an above-knee leg prosthesis, J. biomech., 3, 87-97, (1970)
[35] Lasdon, L.S.; Waren, A.D.; Rice, R.K., An interior penalty for inequality constrained optimal control problems, IEEE trans. automatic control, AC-12, (1967), No. 4
[36] Wilkie, D.R., Facts and theories about muscle, Prog. biophysics biophys. chem., 4, 288, (1954)
[37] Wilkie, D.R., The relation between force and velocity in human muscle, J. physiol., 110, 249 ff, (1950)
[38] Vickers, W., A physiologically based model of neuromuscular system dynamics, IEEE trans. man-machine syst., MMS-9, 2, 21 ff, (1968)
[39] McRuer, D., A neuromuscular actuation system model, IEEE trans. man-machine syst., MMS-9, 3, 61 ff, (1968)
[40] Bigland, B.; Lippold, O.C.J., The relation between force, velocity and integrated electrical activity in human muscle, J. physiol., 123, 214 ff, (1954)
[41] Stark, L., (), 302 ff
[42] Houk, J., A mathematical model of the stretch reflex in human muscle systems, (), The application of control theory to physiological systems, (1963), Chap. 17
[43] Bryson, A.E.; Ho, Y.C., Applied optimal control: optimization, estimation and control, (1968), Blaisdell Publishing Company Waltham, Mass
[44] Lele, M.M.; Jacobson, D.H., A proof of the convergence of the Kelley-bryson penalty function technique for state-constrained control problems, J. math. anal. appl., 26, 163-170, (1969) · Zbl 0169.42802
[45] McGhee, R.B., Some finite state aspects of legged locomotion, Math. biosciences, 2, 2, 67-84, (1968) · Zbl 0169.22804
[46] McGhee, R.B.; Frank, A.A., On the stability properties of quadruped creeping gaits, Math. biosciences, 3, 331, (1968) · Zbl 0186.53902
[47] Tomovic, R.; McGhee, R.B., A finite state approach to the synthsis of bio-engineering control systems, IEEE trans. human factors in electronics, HFE-7, 2, (1966)
[48] Tomovic, R., Multi-level control of mechanical multivariate system as applied to prosthetics, IEEE trans. automatic control, AC-13, (Feb. 1968), (short papers)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.