Modeling the genetic etiology of pharmacokinetic-pharmacodynamic links with the ARMA process

Journal of Biopharmaceutical Statistics

Volumn 20, Issue 2, 2010, Pages 351-372

  Lin, Min ^a   Berg, Arthur ^c   Wu, Rongling ^b,c  

^a DUKE UNIVERSITY SCHOOL OF MEDICINE   (United States)

^b PENN STATE COLLEGE OF MEDICINE   (United States)

^c PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

ARMA; Drug response; Haplotype; PK PD; Sequence mapping

Indexed keywords

ALGORITHM; ARTICLE; AUTOREGRESSIVE MOVING AVERAGE PROCESS; DNA SEQUENCE; DNA STRUCTURE; DRUG BIOAVAILABILITY; DRUG EFFECT; DRUG RESPONSE; GENE MAPPING; GENETIC VARIABILITY; HAPLOTYPE; HYPOTHESIS; PHARMACODYNAMICS; PHARMACOGENETICS; PLASMA CONCENTRATION-TIME CURVE; PRIORITY JOURNAL; SEQUENCE ANALYSIS; SIMULATION; SINGLE NUCLEOTIDE POLYMORPHISM; STATISTICAL MODEL;

ALGORITHMS; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; DOSE-RESPONSE RELATIONSHIP, DRUG; HAPLOTYPES; HUMANS; LIKELIHOOD FUNCTIONS; MODELS, STATISTICAL; PHARMACOGENETICS; PHARMACOKINETICS; POLYMORPHISM, SINGLE NUCLEOTIDE; REPRODUCIBILITY OF RESULTS; RISK ASSESSMENT; RISK FACTORS; TREATMENT OUTCOME;

EID: 77951274759     PISSN: 10543406     EISSN: 15205711     Source Type: Journal    
DOI: 10.1080/10543400903572795     Document Type: Article

References (31)

1. Bennett, J. H. (1954). On the theory of random mating. Annals of Eugenics 18:311-317.
2. Box, G., Jenkins, G., Reinsel, G. (1994). Time Series Analysis: Forecasting and Control. Englewood Cliffs, NJ: Prentice Hall.
3. Churchill, G. A., Doerge, R. W. (1994). Empirical threshold values for quantitative trait mapping. Genetics 138:963-971.
4. Dawson, E., Abecasis, G. R., Bumpstead, S., Chen, Y., Hunt, S., Beare, D. M., Pabial, J., Dibling, T., Tinsley, E., Kirby, S., Carter, D., Papaspyridonos, M., Livingstone, S., Ganske, R., Löhmussaar, E., Zernant, J., Tõnisson, N., Remm, M., Mägi, R., Puurand, T., Vilo, J., Kurg, A., Rice, K., Deloukas, P., Mott, R., Metspalu, A., Bentley, D. R., Cardon, L. R., Dunham, I. (2002). A first-generation linkage disequilibrium map of human chromosome 22. Nature 18:544-548.
5. Dempster, A. P., Laird, N. M., Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal Statistical Society Series B 39:1-38.
6. Derendorf, H., Meibohm, B. (1999). Modeling of pharmacokinetic/ pharmacodynamic (PK/PD) relationships: Concepts and perspectives.
7. Diggle, P. J., Heagerty, P., Liang, K. Y., Zeger, S. L. (2002). Analysis of Longitudinal Data. Oxford, UK: Oxford University Press.
8. Evans, W. E., McLeod, H. L. (2003). Pharmacogenomics-Drug disposition, drug targets, and side effects. New England Journal of Medicine 348:538-549.
9. Gabriel, S. B., Schaffner, S. F., Nguyen, H., Moore, J. M., Roy, J., Blumenstiel, B., Higgins, J., DeFelice, M., Lochner, A., Faggart, M., Lin-Cordero, S. N., Rotimi, C., Adeyemo, A., Copper, R., Ward, R., Lander, E. S., Daily, M. J., Altshuler, D. (2002). The structure of haplotype blocks in the human genome. Science 296:2225-2229.
10. Giraldo, J. (2003). Empirical models and Hill coefficients. Trends in Pharmacological Sciences 24:63-65.
11. Haddad, J. N. (2004). On the closed form of the covariance matrix and its inverse of the casual ARMA process. Journal of Time Series Analysis 25:443-448.
12. Hochhaus, G., Derendorf, H. (1995). Dose optimization based on pharmaco-kineticpharmacodynamic modeling. In: Hochhaus, G., Derendorf, H., eds. Handbook of Pharmacokinetic/Pharmacodynamic Correlation. Boca Raton, FL: CRC Press, pp. 59-120.
13. International HapMap Consortium. (2003). The International HapMap Project. Nature 426:789-794.
14. Lin, M., Aquilante, C., Johnson, J. A., Wu, R. L. (2005). Sequencing drug response with HapMap. Pharmacogenomics Journal 5:149-156.
15. Lynch, M., Walsh, B. (1998). Genetics and Analysis of Quantitative Traits. Sunderland MA: Sinauer.
16. Ma, C. X., Casella, G., Wu, R. L. (2002). Functional mapping of quantitative trait loci underlying the character process: a theoretical framework. Genetics 161:1751-1762.
17. McClish, D. K., Roberts, J. D. (2003). Phase I studies of weekly administration of cytotoxic agents: Implications of a mathematical model. Investigational New Drugs 21:299-308.
18. Nelder, J. A., Mead, R. A simplex method for function minimization. Computer Journal 7:308-313.
19. Núñez-Antón, V., Woodworth, G. G. (1994). Analysis of longitudinal data with unequally spaced observations and time-dependent correlated errors. Biometrics 50:445-456.
20. Patil, N., Berno, A. J., Hinds, D. A., Barrett, W. A., Doshi, J. M., Hacker, C. R., Kautzer, C. R., Lee, D. H., Marjoribanks, C., McDonough, D. P., Nguyen, B. T., Norris, M. C., Sheehan, J. B., Shen, N., Stern, D., Stokowski, R. P., Thomas, D. J., Trulson, M. O., Vyas, K. R., Frazer, K. A., Fodor, S. P., Cox, D. R. (2001). Blocks of limited haplotype diversity revealed by high-resolution scanning of human chromosome 21. Science 294:1719-1723.
21. Rao, C. R. (1994). Linear Statistical Inference and Its Application. New York: Wiley.
22. van der Leeuw, J. (1994). The covariance matrix of ARMA errors in closed form. Journal of Econometrics 63:397-405.
23. Watters, J. W., McLeod, H. L. (2003). Using genome-wide mapping in the mouse to identify genes that influence drug response. Trends in Pharmacological Sciences 24:55-58.
24. Weinshilboum, R. (2003). Inheritance and drug response. New England Journal of Medicine 348:529-537.
25. Wu, R. L., Lin, M. (2006). Functional mapping-How to study the genetic architecture of dynamic complex traits. Nature Reviews Genetics 2006:229-237.
26. Wu, R. L., Ma, C. X., Littell, R. C., Wu, S. S., Yin, T. M., Huang, M., Wang, M., Casella, G. (2002). A logistic mixture model for characterizing genetic determinants causing differentiation in growth trajectories. Genetical Research 19:235-245.
27. Wu, R. L., Ma, C. X., Zhao, W., Casella, G. (2003). Functional mapping of quantitative trait loci underlying growth rates: a parametric model. Physiological Genomics 14:241-249.
28. Wu, R. L., Ma, C. X., Lin, M., Casella, G. (2004a). A general framework for analyzing the genetic architecture of developmental characteristics. Genetics 166:1541-1551.
29. Wu, R. L., Ma, C. X., Lin, M., Wang, Z. H., Casella, G. (2004b). Functional mapping of quantitative trait loci underlying growth trajectories using a transform-both-sides logistic model. Biometrics 60:729-738.
30. Zhao, W., Wu, R. L., Ma, C. X., Casella, G. (2004). A fast algorithm for functional mapping of complex traits. Genetics 167:2133-2137. (Pubitemid 39265944)
31. Zimmerman, D. L., Núñez-Antón, V. (2001). Parametric modeling of growth curve data: an overview (with discussion). Test 10:1-73.