On the Optimization of Initial Conditions for a Model Parameter Estimation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F17%3A00476436" target="_blank" >RIV/67985807:_____/17:00476436 - isvavai.cz</a>
Result on the web
<a href="http://hdl.handle.net/10338.dmlcz/703000" target="_blank" >http://hdl.handle.net/10338.dmlcz/703000</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/panm.2016.09" target="_blank" >10.21136/panm.2016.09</a>
Alternative languages
Result language
angličtina
Original language name
On the Optimization of Initial Conditions for a Model Parameter Estimation
Original language description
The design of an experiment, e.g., the setting of initial conditions, strongly influences the accuracy of the process of determining model parameters from data. The key concept relies on the analysis of the sensitivity of the measured output with respect to the model parameters. Based on this approach we optimize an experimental design factor, the initial condition for an inverse problem of a model parameter estimation. Our approach, although case independent, is illustrated at the FRAP (Fluorescence Recovery After Photobleaching) experimental technique. The core idea resides in the maximization of a sensitivity measure, which depends on the initial condition. Numerical experiments show that the discretized optimal initial condition attains only two values. The number of jumps between these values is inversely proportional to the value of a diffusion coefficient D (characterizing the biophysical and numerical process). The smaller value of D is, the larger number of jumps occurs.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Programs and algorithms of numerical mathematics 18
ISBN
978-80-85823-67-7
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
73-80
Publisher name
Institute of Mathematics CAS
Place of publication
Prague
Event location
Janov nad Nisou
Event date
Jun 19, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000467646600009