TY - GEN
T1 - Parameter estimation and sensitivity analysis of biological systems with memory
AU - Rihan, Fathalla A.
N1 - Funding Information:
This work is supported by NRF and UPAR Projects (UAE University, UAE).
Publisher Copyright:
Copyright ISCA.
PY - 2016
Y1 - 2016
N2 - Parameter estimation for biological systems is an important topic and considered as an inverse problem. In this paper, we provide a general computational technique for parameter estimations of biological systems described by delay differential equations, using least squares approach. Sensitivity analysis is an important tool for understanding a particular model, which is considered as an issue of stability with respect to structural perturbations in the model. We introduce a variational method to evaluate sensitivity of the state variables to small perturbations in the initial conditions and parameters appear in the model. The consistency of neutral delay differential equations with bacterial cell growth is shown, as a numerical example, by fitting the model to real observations.
AB - Parameter estimation for biological systems is an important topic and considered as an inverse problem. In this paper, we provide a general computational technique for parameter estimations of biological systems described by delay differential equations, using least squares approach. Sensitivity analysis is an important tool for understanding a particular model, which is considered as an issue of stability with respect to structural perturbations in the model. We introduce a variational method to evaluate sensitivity of the state variables to small perturbations in the initial conditions and parameters appear in the model. The consistency of neutral delay differential equations with bacterial cell growth is shown, as a numerical example, by fitting the model to real observations.
KW - Biological systems
KW - DDEs
KW - Parameter estimation
KW - Sensitivity analysis
KW - Time-lags
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M3 - Conference contribution
AN - SCOPUS:84973596245
T3 - Proceedings of the 8th International Conference on Bioinformatics and Computational Biology, BICOB 2016
SP - 97
EP - 102
BT - Proceedings of the 8th International Conference on Bioinformatics and Computational Biology, BICOB 2016
A2 - Haspel, Nurit
A2 - Ioerger, Thomas
PB - The International Society for Computers and Their Applications (ISCA)
T2 - 8th International Conference on Bioinformatics and Computational Biology, BICOB 2016
Y2 - 4 April 2016 through 6 April 2016
ER -