Abstract
The study of blood-tissue exchange by the multiple indicator dilution technique often needs frequent sampling in the blood of the indicator dilution curves (IDC). Usually, this requires the use of a catheter supported by a pump. This causes a distortion in the IDC, which must be removed for proper interpretation of the data. A deconvolution-based methodology to remove IDC distortion is presented. First, the catheter impulse response is modelled by means of data obtained from a suitable experiment. Then the reconstruction of the blood IDC is tackled by a new nonparametric deconvolution algorithm, which provides (quasi) time-continuous signals and exploits statistically based criteria for the choice of the regularisation parameter. The methodology is applied to the removal of cathether distortion in studies of glucose blood-tissue exchange in the human forearm and myocardium.
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References
Beck, J. W. andArnold, K. J. (1977): ‘Parameter estimation in engineering and science’, (Wiley, New York).
Bertero, M. (1989): ‘Linear inverse and ill-posed problems’,Adv. Electron. Electron Phys.,75, pp. 1–120.
Bonadonna, R., Lehtovirta, M., Laurila, E., Vicini, P., Menotto, F. andGroop, L. (1995): ‘Transcapillary transfer of glucose in human skeletal muscle is not mediated by an insulin sensitive mechanism of facilitated diffusion’,Diabetes,44, Suppl. 1, p. 195A.
Carson, E., Cobelli, C., andFinkelstein, L. (1983): ‘The mathematical modelling of metabolic and endocrine systems’ (Wiley, New York).
Charter, M. K. andGull, S. F. (1991): ‘Maximum entropy and drug absorption’,J. Pharmacokinet. Biopharm.,19, pp. 497–520.
Commenges, D. (1984): ‘The deconvolution problem: fast algorithms including the preconditioned conjugate-gradient to compute a MAP estimator’,IEEE Trans. Autom. Control.,29, (3), pp. 229–243.
Cutler, D. J. (1978): ‘Numerical deconvolution by least squares: use of prescribed input functions’,J. Pharmacokin. Biopharm,6, (3), pp. 227–241.
De Nicolao, G., Liberati, D. andSartorio, A. (1995): ‘Deconvolution of infrequently sampled data for the estimation of growth hormone secretion’,IEEE Trans. Biomed. Eng.,42, pp. 678–687.
De Nicolao, G., Sparacino, G. andCobelli, C. (1997): ‘Nonparametric input estimation in physiological systems: problems, methods, case studies’,Automatica,33, (5), pp. 851–870.
Golub, G., Heath, M. andWahba, G. (1979): ‘Generalized crossvalidation as a method for choosing a good ridge parameter’,Technometrics,21, pp. 215–224.
Goresky, C. A. andSilverman, M. (1964): ‘Effect of correction of catheter distortion on calculated sinusoidal volumes’Am. J. Physiol.,207, pp. 883–892.
Hall, P. andTitterington, D. M. (1987): ‘Common structure of techniques for choosing smoothing parameters in regression problems’,J. Roy. Statist. Soc. Ser. B,49, pp. 184–198.
Hansen, P. C. (1992): ‘Numerical tools for analysis and solutions of Fredholm integral equations of the first kind’,Inverse Problems,8, pp. 849–872.
Landaw, E. M. andDiStefano, J. J. (1984): ‘Multiexponential, multicompartmental, and noncompartmental modelling. II. Data analysis and statistical considerations’,Am. J. Physiol.,246, pp. R665-R677.
Norwich, K. (1977): ‘Molecular dynamics in biosystems’ (Pergamon Press, UK).
Milnor, W. R. andJose, A. D. (1960): ‘Distortion of indicatordilution curves by sampling systems’,J. Appl. Physiol.,15, pp. 177–180.
Phillips, D. L. (1962): ‘A technique for the numerical solution of certain integral equations of the first kind’,J. Assoc. Comput. Mach.,9, pp. 97–101.
Sparacino, G. andCobelli, C. (1996): ‘A stochastic deconvolution method to reconstruct insulin secretion rate after a glucose stimulus’IEEE Trans. Biomed. Eng.,43, pp. 512–529.
Tikhonov, A. N. (1963): ‘Solution of incorrectly formulated problems and the regularisation method’,Soviet. Math. Dokl.,4, pp. 1035–1038.
Twomey, S. (1965): ‘The application of numerical filtering to the solution of integral equations encountered in the indirect sensing measurements’,J. Franklin. Inst.,279, pp. 95–109.
Veng-Pedersen, P. (1980): ‘An algorithm and computer program for deconvolution in linear pharmacokinetics’,J. Pharmacokinet. Biopharm.,8, pp. 463–481.
Verotta, D. (1993): ‘Estimation and model selection in constrained deconvolution’,Ann. Biomed. Eng.,21, pp. 605–620.
Vicini, P., Pasinato, S., Saccomani, M. P., Frascerra, S., Pecori, N., Ferrannini, E., Bonadonna, R. andCobelli, C. (1994): ‘A multi-region distributed model of glucose kinetics in the human myocardium’. Proceedings of the IFAC Symposium on Modelling and Control in Biomedical Systems, Galveston, Texas (Omnipress, Madison WI) pp. 229–230.
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Sparacino, G., Vicini, P., Bonadonna, R. et al. Removal of catheter distortion in multiple indicator dilution studies: a deconvolution-based method and case studies on glucose blood-tissue exchange. Med. Biol. Eng. Comput. 35, 337–342 (1997). https://doi.org/10.1007/BF02534087
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DOI: https://doi.org/10.1007/BF02534087