Multi-objective Optimization and Stochastic Analysis in Focused Ultrasonic Therapy Simulation

T. Clees, N. Hornung, I. Nikitin, L. Nikitina, D. Steffes-lai

2013

Abstract

We present new results in stochastic multi-objective optimization applied to focused ultrasonic therapy planning. This type of non-invasive therapy uses focused ultrasound for the destruction of tumor cells and magnetic resonance tomography for identification of tumor volume and healthy organs. During the therapy planning the treatment parameters, such as frequency and intensity of ultrasound, are adjusted to achieve maximal tumor destruction and minimal influence to the healthy organs. For this purpose multi-objective optimization is used. RBF metamodeling is employed for continuous representation of discretely sampled results of numerical simulation and for evaluation of inherent uncertainties. We apply two algorithms for multi-objective optimization capable of non-convex Pareto front detection in the considered problem. Cross-validation procedure and sensitivity analysis are used for estimation of uncertainties. A realistic application case demonstrates the efficiency of the approach.

References

  1. Georgii, J., Dresky, C. V., Meier, S., Demedts, D., Schumann, C., Preusser, T., Focused Ultrasound - Efficient GPU Simulation Methods for Therapy Planning, in Proc. Workshop on Virtual Reality Interaction and Physical Simulation VRIPHYS, Lyon, France, 2011, J. Bender, K. Erleben, and E. Galin (Editors), Eurographics Association 2011, pp. 119- 128.
  2. Nandlall, S., Arora, M., Schiffter, H. A., Coussios, C.-C.: On the Applicability of the Thermal Dose Cumulative Equivalent Minutes Metric to the Denaturation of Bovine Serum Albumin in a Polyacrylamide Tissue Phantom. Proc. 8th Int. Symp. Therapeutic Ultrasound (AIP), 1113:205-209, 2009.
  3. Pearce, J. A.: Relationships between Arrhenius models of thermal dose damage and the CEM 43 thermal dose. Energy-based Treatment of Tissue and Assessment V (Proceedings of SPIE), editor: Ryan, T.P., 7181, 2009.
  4. Ehrgott, M., Gandibleux, X., (Eds.), Multiple criteria optimization: state of the art annotated bibliographic surveys, Kluwer 2002.
  5. H. T. Kung, F. Luccio, and F. P. Preparata. On finding the maxima of a set of vectors. Journal of the ACM, 22(4):469-476, 1975.
  6. Hornung, N., Nikitina, L., Clees, T., Multi-objective optimization using surrogate functions, in Proc. 2nd International Conference on Engineering Optimization, September 6-9, 2010, Lisbon, Portugal.
  7. Buhmann, M. D., Radial Basis Functions: theory and implementations, Cambridge University Press, 2003.
  8. Borsotto D., Clees T., Nikitin, I., Nikitina, L., Steffes-lai D., Thole C.-A., Sensitivity and robustness aspects in focused ultrasonic therapy simulation, in J.Herskovits, Ed., CDROM Proc. EngOpt 2012, third Int. Conf. on Engineering Optimization, Rio de Janeiro, Brazil, July 1-5, 2012, #268.
  9. Nikitin, I., Nikitina, L., Clees, T., Nonlinear metamodeling of bulky data and applications in automotive design, in M. Günther et al (eds), Progress in industrial mathematics at ECMI 2010, Mathematics in Industry (17), Springer, 2012, pp. 295-301.
  10. Clees, T., Nikitin, I., Nikitina, L., Thole, C.-A., Analysis of bulky crash simulation results: deterministic and stochastic aspects, in N.Pina et al (Eds.): Simulation and Modeling Methodologies, Technologies and Applications, AISC 197, Springer 2012, pp.225-237.
  11. Peters, K., Experimentelle Untersuchungen zur nichtinvasiven Gewebeablation durch hochenergetischen fokussierten Ultraschall (HIFU), Dissertation 2007, Ludwig-Maximilians-University, Munich (in German).
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Paper Citation


in Harvard Style

Clees T., Hornung N., Nikitin I., Nikitina L. and Steffes-lai D. (2013). Multi-objective Optimization and Stochastic Analysis in Focused Ultrasonic Therapy Simulation . In Proceedings of the 3rd International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH, ISBN 978-989-8565-69-3, pages 43-48. DOI: 10.5220/0004421900430048


in Bibtex Style

@conference{simultech13,
author={T. Clees and N. Hornung and I. Nikitin and L. Nikitina and D. Steffes-lai},
title={Multi-objective Optimization and Stochastic Analysis in Focused Ultrasonic Therapy Simulation},
booktitle={Proceedings of the 3rd International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,},
year={2013},
pages={43-48},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004421900430048},
isbn={978-989-8565-69-3},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 3rd International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,
TI - Multi-objective Optimization and Stochastic Analysis in Focused Ultrasonic Therapy Simulation
SN - 978-989-8565-69-3
AU - Clees T.
AU - Hornung N.
AU - Nikitin I.
AU - Nikitina L.
AU - Steffes-lai D.
PY - 2013
SP - 43
EP - 48
DO - 10.5220/0004421900430048