TY - JOUR
T1 - Sensitivity analysis and practical identifiability of the mathematical model for partial differential equations
AU - Krivorotko, O.
AU - Andornaya, D.
N1 - Funding Information:
The work is supported by Mathematical Center in Akademgorodok, the agreement with Ministry of Science and High Education of the Russian Federation number 075-15-2019-1675.
Publisher Copyright:
© 2021 Institute of Physics Publishing. All rights reserved.
PY - 2021/12/20
Y1 - 2021/12/20
N2 - A sensitivity-based identifiability analysis of mathematical model for partial differential equations is carried out using an orthogonal method and an eigenvalue method. These methods are used to study the properties of the sensitivity matrix and the effects of changes in the model coefficients on the simulation results. Practical identifiability is investigated to determine whether the coefficients can be reconstructed with noisy experimental data. The analysis is performed using correlation matrix method with allowance for Gaussian noise in the measurements. The results of numerical calculations to obtain identifiable sets of parameters for the mathematical model arising in social networks are presented and discussed.
AB - A sensitivity-based identifiability analysis of mathematical model for partial differential equations is carried out using an orthogonal method and an eigenvalue method. These methods are used to study the properties of the sensitivity matrix and the effects of changes in the model coefficients on the simulation results. Practical identifiability is investigated to determine whether the coefficients can be reconstructed with noisy experimental data. The analysis is performed using correlation matrix method with allowance for Gaussian noise in the measurements. The results of numerical calculations to obtain identifiable sets of parameters for the mathematical model arising in social networks are presented and discussed.
UR - http://www.scopus.com/inward/record.url?scp=85123982510&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/2092/1/012012
DO - 10.1088/1742-6596/2092/1/012012
M3 - Conference article
AN - SCOPUS:85123982510
VL - 2092
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012012
T2 - 11th International Scientific Conference and Young Scientist School on Theory and Computational Methods for Inverse and Ill-posed Problems
Y2 - 26 August 2019 through 4 September 2019
ER -