Národní úložiště šedé literatury Nalezeno 57 záznamů.  1 - 10dalšíkonec  přejít na záznam: Hledání trvalo 0.01 vteřin. 
Mathematics and Optimal control theory meet Pharmacy: Towards application of special techniques in modeling, control and optimization of biochemical networks
Papáček, Štěpán ; Matonoha, Ctirad ; Duintjer Tebbens, Jurjen
Similarly to other scienti c domains, the expenses related to in silico modeling in pharmacology need not be extensively apologized. Vis a vis both in vitro and in vivo experiments, physiologically-based pharmacokinetic (PBPK) and pharmacodynamic models represent an important tool for the assessment of drug safety before its approval, as well as a viable option in designing dosing regimens. In this contribution, some special techniques related to the mathematical modeling, control and optimization of biochemical networks are presented on a paradigmatic example of enzyme kinetics.
Hybrid Methods for Nonlinear Least Squares Problems
Lukšan, Ladislav ; Matonoha, Ctirad ; Vlček, Jan
This contribution contains a description and analysis of effective methods for minimization of the nonlinear least squares function F(x) = (1=2)fT (x)f(x), where x ∈ Rn and f ∈ Rm, together with extensive computational tests and comparisons of the introduced methods. All hybrid methods are described in detail and their global convergence is proved in a unified way. Some proofs concerning trust region methods, which are difficult to find in the literature, are also added. In particular, the report contains an analysis of a new simple hybrid method with Jacobian corrections (Section 8) and an investigation of the simple hybrid method for sparse least squares problems proposed previously in [33] (Section 14).
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On the Optimal Initial Conditions for an Inverse Problem of Model Parameter Estimation - a Complementarity Principle
Matonoha, Ctirad ; Papáček, Š.
This contribution represents an extension of our earlier studies on the paradigmatic example of the inverse problem of the diffusion parameter estimation from spatio-temporal measurements of fluorescent particle concentration, see [6, 1, 3, 4, 5]. More precisely, we continue to look for an optimal bleaching pattern used in FRAP (Fluorescence Recovery After Photobleaching), being the initial condition of the Fickian diffusion equation maximizing a sensitivity measure. As follows, we define an optimization problem and we show the special feature (so-called complementarity principle) of the optimal binary-valued initial conditions.
Problems for Nonlinear Least Squares and Nonlinear Equations
Lukšan, Ladislav ; Matonoha, Ctirad ; Vlček, Jan
This report contains a description of subroutines which can be used for testing large-scale optimization codes. These subroutines can easily be obtained from the web page http://www.cs.cas.cz/~luksan/test.html. Furthermore, all test problems contained in these subroutines are presented in the analytic form.
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Sparse Test Problems for Nonlinear Least Squares
Lukšan, Ladislav ; Matonoha, Ctirad ; Vlček, Jan
This report contains a description of subroutines which can be used for testing large-scale optimization codes. These subroutines can easily be obtained from the web page http://www.cs.cas.cz/~luksan/test.html. Furthermore, all test problems contained in these subroutines are presented in the analytic form.
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Mocnění intervalových matic
Říha, David ; Hartman, David (vedoucí práce) ; Matonoha, Ctirad (oponent)
Cílem práce je prozkoumat způsoby jak spočítat intervalovou obálku pro mocninu intervalové matice, najít speciální případy, kdy je mocnění jednodušší než v obecném případě a tyto vyzkoumané způsoby implementovat pro program MATLAB. V práci budou představeny dva algoritmy pro výpočet obálky mocniny obecné intervalové matice. Jeden využívá spektrální rozklad, tedy rozklad založený na vlastních číslech a vlastních vektorech a druhý je založen na známém postupu binárního umocňování. Speciální případy zahrnují například nezáporné intervalové matice, nebo třetí mocninu diagonálně intervalových matic. Pro vyzkoumané metody je vysvětlena teorie, na které jsou postaveny a samotné metody jsou popsány jak slovně, tak kódem. Na konci práce je provedeno testování kvality výsledných intervalových obálek a časové náročnosti výpočtu.
UFO 2017. Interactive System for Universal Functional Optimization
Lukšan, Ladislav ; Tůma, Miroslav ; Matonoha, Ctirad ; Vlček, Jan ; Ramešová, Nina ; Šiška, M. ; Hartman, J.
This report contains a description of the interactive system for universal functional optimization UFO, version 2017. This version contains interfaces to the MATLAB and SCILAB graphics environments.
On the Optimization of Initial Conditions for a Model Parameter Estimation
Matonoha, Ctirad ; Papáček, Š. ; Kindermann, S.
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.

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