Visualization-based analysis of multiparameter models using environment for N-dimensional model analysis

Computers and Biomedical Research

Volumn 30, Issue 3, 1997, Pages 171-187

  Bosan, Sorel ^a   Harris, Thomas R ^a  

^a VANDERBILT UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CAPILLARY FLOW; COMPUTER GRAPHICS; COMPUTER INTERFACE; COMPUTER PROGRAM; LUNG CAPILLARY; PRIORITY JOURNAL; STATISTICAL ANALYSIS; VISUAL AID;

EID: 0031172352     PISSN: 00104809     EISSN: None     Source Type: Journal    
DOI: 10.1006/cbmr.1997.1429     Document Type: Article

References (24)

1. Bellman R., Roth R. Quasilinearization and the Identification Problem. 1983;Lee Printing Co. Singapore.
2. Beck T. J., Arnold K. T. Parameter Estimation in Engineering and Science. 1977;Wiley, New York.
3. Norton J. P. An Introduction to Identification. 1986;Academic Press, New York.
4. Eisen M. Mathematical Methods and Models in the Biological Sciences. 1988;Prentice-Hall, Englewood Cliffs.
5. Doucet P., Sloep P. B. Mathematical Modeling in the Life Sciences. 1992;Ellis Horwood Limited, Chichester.
6. Tomovic R., Vukobratovic M. General Sensitivity Theory. 1970;Elsevier, New York.
7. Frank P. M. Introduction to System Sensitivity Theory. 1978;Academic Press, New York.
8. Doctor P. G. Sensitivity and uncertainty analysis for performance assessment modeling. Eng. Geol. 26:1989;411-429.
9. Vera D. R., Scheibe P. O., Krohn K. A., Trudeau W. L., Stadalnik R. C. Goodness-of-fit and local identifiability of a recepto binding radiopharmacokinetic system. IEEE Trans. Biomed. Eng. 39:1992;356-367.
10. Marquardt D. W. An algorithm for least-squares estimation of nonlinear parameters. J. Soc. Ind. Appl. Math. 11:1963;431-462.
11. Scales L. E. Introduction to Non-Linear Optimization. 1985;Springer-Verlag, New York.
12. Haselton F. R., Roselli R. J., Parker R. E., Harris T. R. An effective-diffusivity model of pulmonary capillary exchange: general theory, limiting cases, and sensitivity analysis. Math. Biosci. 70:1984;237-263.
13. Bosan S., Harris T. R. A visualization-based analysis method for multi-parameter models of capillary tissue-exchange. Ann. Biomed. Eng. 24:1996;124-138.
14. Olson L. E., Pou A., Harris T. R. Surface area-independent assessment of lung microvascular permeability with an amphipathic tracer. J. Appl. Physiol. 70:1991;1085-1096.
15. J. Leblanc, M. O. Ward, N. Wittels, Oct. 1990, Exploring n-dimensional databases, IEEE Conference on Visualization, 230, 237.
16. Rowlett R. D., Harris T. R. Comparative study of organ models and numerical methods for the evaluation of capillary permeability from multiple-indicator data. Math. Biosci. 29:1976;273-298.
17. Burden R. L., Faires J. D. Numerical Analysis. 1989;PSW-KENT Publishing Co. Boston.
18. Bellman R., Astrom K. J. On structural identifiability. Math. Biosci. 7:1970;329-339.
19. Delforge J. Relations between the main approaches to linear system identifiability: application to calculation of jacobian matrices' determinants. Int. J. Systems Sci. 20:1989;1079-1097.
20. Sangren W. C., Sheppard C. W. A mathematical derivation of the exchange of a labeled substance between a liquid flowing in a vessel and an external compartment. Bull. Math. Biophys. 15:1953;387-394.
21. Bosan S., Harris T. R. GLANSE, Graphical lung analysis and simulation environment. Comp. Methods Prog. Biomed. 49:1996;211-228.
22. Mihalisin T., Timlin J., Schwegler J. Visualizing multivariate functions, data, and distributions. IEEE Comp. Graphics Appl. May 1991;28-35.
23. Haselton R. F., Parker R. E., Roselli R. J., Harris T. R. Lung multiple tracer analysis with an effective diffusivity model of capillary-tissue exchange. J. Appl. Physiol. 57:1984;98-109.
24. Harris P. A., Bosan S., Harris T. R., Laughlin M. H., Overholser K. A. Parameter identification in coronary pressure flow models: a graphical approach. Ann. Biomed. Eng. 22:1994;622-637.