Solving dynamical inverse problems by means of Metabolic P systems

BioSystems

Volumn 109, Issue 1, 2012, Pages 78-86

  Manca, V ^a   Marchetti, L ^a  

^a UNIVERSITY OF VERONA   (Italy)

Author keywords

Dynamical inverse problems; Dynamical systems; Metabolic P systems; Stepwise regression

Indexed keywords

ALGORITHM; DISCRETE ELEMENT METHOD; INVERSE PROBLEM; METABOLISM; NUMERICAL MODEL; REGRESSION ANALYSIS; STOICHIOMETRY; SYSTEMS ANALYSIS;

ALGORITHM; ARTICLE; CONTROLLED STUDY; LOGGAIN STOICHIOMETRIC STEPWISE REGRESSION; MATHEMATICAL MODEL; METABOLIC P SYSTEM; METABOLIC PARAMETERS; METABOLISM; PROBLEM SOLVING; REGRESSION ANALYSIS; STUDENT T TEST;

EID: 84861818200     PISSN: 03032647     EISSN: 18728324     Source Type: Journal    
DOI: 10.1016/j.biosystems.2011.12.006     Document Type: Article

References (31)

1. Aczel A.D., Sounderpandian J. Complete Business Statistics 2006, Mc Graw Hill, International Edition.
2. Bailey J. Mathematical modeling and analysis in biochemical engineering: past accomplishments and future opportunities. Biotechnology Progress 1998, 14:8-20.
3. Bertalanffy L. General Systems Theory: Foundations, Developments, Applications 1967, George Braziller Inc., New York.
4. Brazhnik P., de la Fuente A., Mendes P. Gene networks: how to put the function in genomics. Trends in Biotechnology 2002, 20(11):467-472.
5. Draper N., Smith H. Applied Regression Analysis, 2nd edition 1981, John Wiley & Sons, New York.
6. Gaetano A.D., Arino O. Mathematical modelling of the intravenous glucose tolerance test. Journal of Mathematical Biology 2000, 40(2):136-168.
7. Goldbeter A. A minimal cascade model for the mitotic oscillator involving cyclin and cdc2 kinase. PNAS 1991, 88(20):9107-9111.
8. Hocking R. The analysis and selection of variables in linear regression. Biometrics 1976, 32.
9. Hoops S., Sahle S., Gauges R., Lee C., Pahle J. COPASI-a COmplex PAthway SImulator. Bioinformatics 2006, 22(24).
10. Ideker T., Galitski T., Hood L. A new approach to decoding life: systems biology. Annual Review of Genomics and Human Genetics 2001, 2:343-372.
11. Johnson S. Hierarchical clustering schemes. Psychometrika 1967, 2:241-254.
12. Karya T., Kurata H. Generalized Least Squares 2004, Wiley.
13. Kitano H. Systems biology: a brief overview. Science 2002, 295(5560):1662-1664.
14. Luenberger D. Optimization by Vector Space Methods 1969, John Wiley & Sons Inc.
15. Maiwald T., Timmer J. Dynamical modeling and multi-experiment fitting with PottersWheel. Bioinformatics 2008, 24(18):2037-2043.
16. Manca V. The metabolic algorithm for P systems: principles and applications. Theoretical Computer Science 2008, 404:142-155.
17. Manca V. Log-gain principles for Metabolic P systems. Algorithmic Bioprocesses. Natural Computing 2009, Springer-Verlag, (Chapter 28), pp. 585-605.
18. Manca, V., 2010. Fundamentals of Metabolic P Systems. In: Paun, Rozenberg (Eds.) (Chaper 19).
19. Manca V., Bianco L. Biological networks in metabolic P systems. BioSystems 2008, 91(3):489-498.
20. Manca V., Bianco L., Fontana F. Evolutions and oscillations of P systems: theoretical considerations and application to biological phenomena. LNCS 2005, (3365):63-84.
21. Manca V., Marchetti L. Goldbeter's mitotic oscillator entirely modeled by MP systems. CMC 2010. LNCS 2010, 6501:273-284.
22. Manca V., Marchetti L. Metabolic approximation of real periodical functions. The Journal of Logic and Algebraic Programming 2010, 79:363-373.
23. Manca V., Marchetti L. Log-Gain Stoichiometic Stepwise regression for MP systems. International Journal of Foundations of Computer Science 2011, 22(1):97-106.
24. Manca V., Marchetti L., Pagliarini R. MP modelling of glucose-insulin interactions in the Intravenous Glucose Tolerance Test. International Journal of Natural Computing Research 2011, 2(3):13-24.
25. Marchetti L., Manca V. A methodology based on MP theory for gene expression analysis. CMC 2011, LNCS 2012, 7184:300-313.
26. Mukhopadhyay A., De Gaetano A., Arino O. Modelling the intravenous glucose tolerance test: a global study for single-distributed-delay model. Discrete and Continuous Dynamical Systems-Series B (DCDS-B) 2004, 4(2):407-417.
27. Panunzi S., Palumbo P., De Gaetano A. A discrete single-delay model for the Intra-Venous Glucose Tolerance Test. Theoretical Biology and Medical Modelling 2007, 4(35).
28. Pâun G. Membrane Computing. An Introduction 2002, Springer.
29. Pâun G., Rozenberg G. Oxford Handbook of Membrane Computing 2010, Oxford University Press.
30. Pearson K. Notes on the history of correlation. Biometrika 1920, 13(1):25-45.
31. Strutz T. Data Fitting and Uncertainty. A Practical Introduction to Weighted Least Squares and Beyond 2010, Vieweg+Teubner.