Skip to main content

3D Virus Structures from Model-Based Inverse Problems

  • Chapter
System Theory

Abstract

Many problems in the computational structural biology of viruses can be considered using tools from system theory. Several approaches to one such problem, the computation of 3D viral structure from solution x-ray scattering data, are described. Each approach involves mathematical models of the viral particles and of the measurement system in an essential way and applies nonlinear programming methods to compute solutions of the inverse problems.

Funded by National Science Foundation grants BIR-9513594 and DBI-9630497.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

  1. Yibin Zheng and Peter C. Doerschu. “Explicit orthonormal fixed bases for spaces of functions that are totally symmetric under the rotational symmetries of a Platonic solid,” Acta Cryst., A52:221–235, 1996.

    MathSciNet  Google Scholar 

  2. Yibin Zheng and Peter C. Doerschuk. “Symbolic symmetry verification for harmonic functions invariant under polyhedral symmetries,” Comput. in Phys., 9(4):433–437, July/August 1995.

    Article  Google Scholar 

  3. Yibin Zheng, Peter C. Doerschuk, and John E. Johnson. “Determination of three-dimensional low-resolution viral structure from solution x-ray scattering data,” Biophys. J., 69(2):619–639, August 1995.

    Article  Google Scholar 

  4. Yibin Zheng and Peter C. Doerschuk. “Iterative reconstruction of three-dimensional objects from averaged Fourier-transform magnitude: solution and fiber x-ray scattering problems,” J. Opt. Soc. Am. A, 13(7):1483–1494, July 1996.

    Article  Google Scholar 

  5. Yibin Zheng and Peter C. Doerschuk. “3D image reconstruction from averaged Fourier transform magnitude by parameter estimation,” IEEE Trans. Image Proc.,7(11):1561–1570, November 1998.

    Article  MathSciNet  MATH  Google Scholar 

  6. Otto Laporte. “Polyhedral harmonics,” Z. Naturforschg., 3a:447–456, 1948.

    MathSciNet  Google Scholar 

  7. William H. Press, Brian P. Flannery, Saul A. Teukolsky, and William T. Vetterling. Numerical Recipes in C: The Art of Scientific Computing. Cambridge Univ. Press, Cambridge, 2 edition, 1992.

    Google Scholar 

  8. Zhongguo Chen, Cynthia V. Stauffacher, and John E. Johnson, “Capsid structure and RNA packaging in comoviruses,” Seminars in Virology, vol. 1, pp. 453–466, 1990.

    Google Scholar 

  9. Tim Schmidt, John E. Johnson, and Walter E. Phillips. “The spherically averaged structures of cowpea mosaic virus components by x-ray solution scattering,” Virology, 127:65–73, 1983.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media New York

About this chapter

Cite this chapter

Zheng, Y., Doerschuk, P.C. (2000). 3D Virus Structures from Model-Based Inverse Problems. In: Djaferis, T.E., Schick, I.C. (eds) System Theory. The Springer International Series in Engineering and Computer Science, vol 518. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5223-9_21

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-5223-9_21

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7380-3

  • Online ISBN: 978-1-4615-5223-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics