Skip to main content

Is Design of New Drugs a Challenge for Kinematics?

  • Chapter
Advances in Robot Kinematics

Abstract

The systematic study of kinematics can be traced to the writings of the ancient Greeks, Egyptians, Romans and Persians as far back as 500 B.C.. For many centuries kinematics (along with geometry) was regarded as one of the basic sciences that explained observed physical phenomena, and was used to engineer machines. Though it may seem unlikely, today a valid claim may be that: kinematics (and in particular robot kinematics) is one of the disciplines that can significantly contribute to the understanding of the function of the biological systems at the microscopic level, and can be utilized to engineer new diagnostic tools, treatments and drugs for various diseases. Given the vast body of knowledge in the theoretical, applied and analytical kinematics and robotics, the obvious absence of the kinematics community and their contribution in the field of protein fold prediction, protein docking, protein engineering and drug design is puzzling. In this paper we will discuss these potential areas and challenges in biotechnology that might be pertinent and of interest to the kinematics and robotics research community.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Branden C. and Tooze J. (1991), Introduction to Protein Structure, 2nd edition, Garland Publishing.

    Google Scholar 

  • Burkert U. and Allinger N. (1982), Molecular Mechanics, Oxford Press.

    Google Scholar 

  • Cantor, C.R. and Schimmel, P.R. (1997), Biophysical Chemistry. The conformation of biological macromolecules, W.H. Freeman and Co. 1997.

    Google Scholar 

  • Chase, M. (1964), Vector analysis of Linkages, Transactions of the ASME Journal of Engineering for Industry, Vol. 85, No. 2, June 196, pp 300–308.

    Google Scholar 

  • Chirikjian, G.S. and Wang, Y.F., (2000), Conformational Statistics of Stiff Macromolecules as Solutions to PDEs on the Rotation and Motion Groups, Physical Review, pp. 880–892, Vol. 62, No. 1, July 2000.

    Google Scholar 

  • Chirikjian, G.S. (2001), Conformational Statistics of Macromolecules Using Generalized Convolution, Computational and Theoretical Polymer Science, pp 143–153, Vol. 11, February 2001.

    Article  Google Scholar 

  • Chirikjian, G.S. and Kyatkin, A.B. (2000), An Operational Calculus for the Euclidean Motion Group: Applications in Robotics and Polymer Science, Journal of Fourier Analysis and Applications, Vol. 6, No. 6, pp. 583–606, 2000.

    Article  MathSciNet  MATH  Google Scholar 

  • Denavit, J. and Hartenberg, R. S. (1955), A Kinematic Notation for Lower-Pair Mechanisms Based on Matrices, ASME Journal of Applied Mechanics, 1955, pp. 215–221.

    Google Scholar 

  • Engh R.A. and Huber R. (1991), Accurate bond and Angle parameters for X-ray protein structure refinement, Acrta Cryst, A47, 392–400.

    Article  Google Scholar 

  • Floudas C. A., Klepeis, J. L., and Pardalos, P. M., (2000), Global Optimization Approaches in Protein Folding and Peptide Docking, DIMACS Series in Discrete Mathematics, and Theoretical Computer Science.

    Google Scholar 

  • Gupta, K.C. (1986), Kinematic Analysis of Manipulators Using the Zero Reference Position Description, The International J. of Robotic Research, Vol. 5, No. 2, pp. 5–13.

    Article  Google Scholar 

  • Kavraki. L. (1996), Geometry and the discovery of new ligands, In Proc. Int. Workshop on Algorithmic Foundations of Robotics (WAFR), pages 435–448, 1996.

    Google Scholar 

  • Kavraki, L. and Latombe J.C. (1998), Probabilistic roadmaps for robot path planning Practical Motion Planning in Robotic, K. Gupta and A. del Pobil ( Eds ), Wiley Press, 1998.

    Google Scholar 

  • Kazerounian, K. and Qian, Z. (1989), Kinematics Calibration of Robotic Manipulators, ASME J. of Mech. Trans. and Aut. in Des., Vol. 111.

    Google Scholar 

  • Kazerounian, K., Nedungadi, A. (1989), A Local Solution with Global Characteristics for torque optimization in Redundant Manipulators, Intl. J. of Robotic Systems, Vol. 6. 5.

    Google Scholar 

  • Kazerounian, K. and Nedungadi, A. (1988), Redundancy Resolution of Serial Manipulators Based on Robot Dynamics, Mechanism and Machine Theory, Vol. 22, No. 4.

    Google Scholar 

  • Kazerounian, K. and Wang, Z. (1988), Global Versus Local Optimization in Redundancy Resolution of Robotic Manipulators, The International J. of Robotics Research, Vol. 7, No. 5.

    Google Scholar 

  • Kazerounian K. (1987), Optimal Manipulation of Redundant Robots, The International J. of Robotics and Automation, Vol. 2, No. 2.

    Google Scholar 

  • Kislitsin A.P., (1954), Tensor Methods in the Theory of Spatial Mechanisms, Truth Seminar Po Teroii Mashin I Mekhanizmov, Akedemia Nauk, USSR, Vol 14, 1954, pp. 51–57.

    Google Scholar 

  • Lesk A.M. (2001), Introduction to Protein Architecture, Oxford University Press, 2001.

    Google Scholar 

  • Moult, J. (1999), Predicting Protein Three-dimensional Structure, Current Opinions in Biotechnology, 10: pp. 583–588, 1999.

    Article  Google Scholar 

  • Osman, M.O. and Mansour W. M. (1971), The Proximity Pertubation Method for the Kinematic Analysis of Six Link Mechanisms, Journal of Mechanisms, Vol. 6, No. 2, pp. 203–212.

    Article  Google Scholar 

  • Osman, M.O. and Segaev, D.N. (1972), Kinematic Analysis of Spatial Mechanisms by Means of Constant Distance Equations, Transactions of the Canadian Society of Mechanical Engineers, Vol 1, No. 3, pp 129–134.

    Google Scholar 

  • Osman, M.O., Bahgat, B. M. and Dukkipati, R.V. (1981), Kinematic Analysis of Spatial Mechanisms Using Train Components, Transaction of the ASME Journal of Mechanical Design, Vol 103, pp. 823–830.

    Article  Google Scholar 

  • Parsons, D. and Canny, J. F. (1994), Geometric Problems in Molecular Biology and Robotics, In Proceedings of the Second International Conference on Intelligent Systems for Molecular Biology, Palo Alto, CA, August, 1994.

    Google Scholar 

  • Rappe, A. Casewit, C. (1991), Molecular Mechanics Across Chemistry, University Science Books.

    Google Scholar 

  • Sandor, G. N. (1968), Principles of General Quaternion-Operator Method of Spatial Kinematic Synthesis, ASME paper number 68-APM-1.

    Google Scholar 

  • Song, G. and Amato, N. M. (2000), Motion planning approach to folding: From paper craft to protein structure prediction. Technical Report TR00–001, Department of Computer Science, Texas A&M University.

    Google Scholar 

  • Voet, D. and Voet, J. (1995), Biochemistry,2nd Ed., John Wiley and Sons.

    Google Scholar 

  • Yang, A.T. and Freudenstein, F. (1964), Application of Dual-Number Quaternions Algebra to the Analysis of Spatial Mechanisms, Transactions of the ASME Journal of Applied Mechanics,Vol 86, No. 2, pp. 300–308.

    Article  MathSciNet  Google Scholar 

  • Yuan, M. S. and Freudenstien, F. (1971), Kinematic Analysis of Spatial Mechanisms by Means of Screw Coordinates, Transactions of the ASME, Journal of Engineering for Industry, Vol 93, No. 1, pp. 61–73.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Kazerounian, K. (2002). Is Design of New Drugs a Challenge for Kinematics?. In: Lenarčič, J., Thomas, F. (eds) Advances in Robot Kinematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0657-5_15

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-0657-5_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6054-9

  • Online ISBN: 978-94-017-0657-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics