In Haughton's footsteps: Mathematical insights into bioengineering and rehabilitation

Irish Journal of Medical Science

Volumn 167, Issue 3, 1998, Pages 170-180

  De Paor, Annraoi ^a  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

AUTONOMIC NERVOUS SYSTEM; AUTOREGULATION; BIOENGINEERING; BIOLOGICAL MODEL; FLOW; KIDNEY FUNCTION; MATHEMATICAL MODEL; MUSCLE CONTRACTION; MUSCLE REFLEX; MUSCLE SPINDLE; NERVE PARALYSIS; OSCILLATOR; REHABILITATION; REVIEW; SKELETAL MUSCLE; SPASTIC PARESIS; TORQUE;

EID: 0031772670     PISSN: 00211265     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02937932     Document Type: Review

References (23)

1. French, P. Prose, poems and parodies, Talbot Press, Dublin, 1929.
2. Coakley, D. Irish Masters of Medicine, Town House, Dublin, 1992.
3. Fox, S. I. Human Physiology. Wm. C. Brown Publishers, Dubuque, Iowa, 1994, (4th edition).
4. Basar, E. Biophysical and Physiological Systems Analysis, Addison-Wesley, Reading, Mass., 1976.
5. de Paor, A. M., Timmons, P. A feedback oscillator model for circulatory autoregulation. Int. J. Control. 1986; vol 43: 679-688.
6. Clynes, M. Unidirectional Rate sensitivity: a biocybernetic law of reflex and humoral systems as physiologic channels of control and communication. Ann. N.Y. Acad. Sci. 1961; 92: 946-969.
7. Øien, A. H., Aukland, K. Mathematical analysis of the myogenic hypothesis, with special reference to autoregulation of renal blood flow. Circ. Res. 1983; 52: 241-252.
8. Johnson, P. C., Wayland, H. Regulation of blood flow in single capillaries. Am. J. Physiol. 1967; 212: 1405-1415.
9. Keane, A. M. Spasticity and Electrical stimulation in the Spinal Cord Injured. M. Med. Sc. thesis, National University of Ireland (UCD), 1994.
10. de Paor, A. Some contributions to Rehabilitation Engineering in Ireland. Lékar a Technika 1995; 26: 3-8.
11. McMillan, N. D. Rev. Samuel Haughton and the Age of the earth controversy, pp. 151-161 of Nudds, J., McMillan, N., Weaire, D., McKenna Lawlor, S. (eds). Science in Ireland 1800-1930: tradition and reform, Trinity College Dublin, 1988.
12. Haughton, S. Principles of Animal Mechanics, Longmans, Green, London, 1873.
13. Hildebrandt, S., Tromba, A. The Parsimonious Universe: shape and form in the natural world, Copernicus (Springer Verlag), New York, 1996.
14. Haughton, S. On the forms of the cells made by various wasps and by the honey-bee. Proc. Natural Hist. Soc. Dublin 1863; 3: 128-140.
15. Maxwell, J. C. On Governors. Proc. Roy. Soc. 1868; 16: 270-283.
16. Routh, E. J. The advanced part of a treatise on the dynamics of rigid bodies. Macmillan & Co., London, 1884 (4th edition). The stability criterion described on pp. 166-176 was first given by Routh in his Adams Prize essay at Cambridge, 1877.
17. de Paor, A. Fifty years of Root Locus: some new thoughts, Proceedings of the 2nd IFAC Workshop on New Trends in the Design of Control Systems, Smolenice, Slovak Republic, September 7-190 1997, pp. 110-115.
18. Tyldesley, B., Grieve, J. I. Muscles, nerves and movement: Kinesiology in daily living. Blackwell Publications, Oxford, 1989.
19. Stark, L. Neurologic Control Systems: studies in bioengineering, Plenum Press, New York, 1968.
20. Granit, R. Receptors and Sensory Perception, Yale University Press, New Haven, Conn., 1955 (5th printing 1967).
21. Gordon, A. M., Huxley, A. F., Julian, F. J. The variation in isometric tension with sarcomere length in vertebrate muscle fibres. J. Physiol. 1966; 184: 170-192.
22. Joyce, G. C., Rack, P. H. M., Westbury, D. R. The mechanical properties of cat soleus muscle during controlled lengthening and shortening movements. J. Physiol. 1969; 204: 461-474.
23. Murray, C. D., de Paor, A. M. Modelling the force velocity relation of muscle. Proceedings of the 17th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Montreal, Canada, September 20-23, 1995, 2pp. (Not paginated on CD-ROM).