... can
be used to estimate the parameters ofdynamic systems
• A validated solver for parametric ODEs is used to construct bounds on the
states ofdynamic systems
• An efficient constraint propagation ... Optimization for Parameter Estimation of
Dynamic Systems
Youdong Lin and Mark A. Stadtherr
Department of Chemical and Biomolecular Engineering
University of Notre Dame
Notre Dame, IN 46556
AIChE ... Energy
18
Background
• Parameter estimation is a key step in development of mathematical models
• Models of interest may be ODEs/DAEs
• Minimization of a weighted squared error
min
θ,z
µ
φ =
m∈M
r
µ=1
(z
µ,m
−...
... can
be used to estimate the parameters ofdynamic systems
• A validated solver for parametric ODEs is used to construct bounds on the
states ofdynamic systems
• An efficient constraint propagation ... Optimization for Parameter Estimation of
Dynamic Systems
Youdong Lin and Mark A. Stadtherr
Department of Chemical and Biomolecular Engineering
University of Notre Dame
Notre Dame, IN 46556
AIChE ... can also be defined.
• It is possible to compute Taylor models of complex functions.
7
Deterministic Global Optimization with Dynamic Systems
• Much recent interest, e.g.
– Esposito and Floudas...
... bottom up chart parsing, can also be seen
as a systemof parallel finite state filters. The PSI
(Parallel Sequential Incrementation) systemof pro-
sodic analysis being developed by myself ... levels of representation. FST
systems are conceptually bidirectional; they may
easily be processed in either direction with the
same finite state mechanism; the problem of the
recoverability of ... properties of the tone
sandhi systems of Tern and Bade very clearly, in
particular the contextual dependencies (sandhi).
The reverse (recognition) simulations show the ef-
fects of tone neutralization:...
...
thermodynamics is one of the area of interest.
Juan Carlos Moreno-Piraján
Department of Chemistry
University of the Andes
Colombia
Thermodynamics – Kinetics ofDynamic Systems ... exchanges of energy,
work and heat based on the laws of thermodynamics. The first law of thermodynamics is a
principle of conservation of energy and defines a specific internal energy which is a state ... processes of chemical
equilibrium. He deduced the phase rule which determines the degrees of freedom
of a physicochemical system based on the number ofsystem components and the
number of phases....
... experimental predictions of Dorofeeva et al. (Dorofeeva et al., 1985),
which reported the population of BC to be in a range of 91–98%, at 332 K. There is indeed a
contribution of ca. 8% of the CROWN form ... of equilibrium geometries, relative energies, spectroscopic and
thermodynamic properties of minimum energy and transition state structures (Dos Santos &
Thermodynamics – Kinetics ofDynamic ... degrees) calculated for the global minimum TC form of the
cycloheptane molecule at different levels of theory.
Thermodynamics – Kinetics ofDynamic Systems
40
thermal energies (
) for...
... region.
Thermodynamics – Kinetics ofDynamic Systems
70
5. Steady state analysis of condensate gas pipeline
5.1 Basic equations
While steady operation, the variation of each parameter ...
Structure and Composition of the Rotational Conformers
of 1,2-Difluoroethane as
Thermodynamics – Kinetics ofDynamic Systems
52
shown. It can be seen that in the case of cyclodecane the low ... The flow chart of the
whole solving procedures is depicted in Fig.3.
gl
mΔ
Fig. 3. Solving procedures of steady state model
First Principles of Prediction of Thermodynamic Properties...
... independent state variables can be regarded as a “coordinate system
in the space which consists of thermodynamic states. A set of values of the coordinates
corresponds to a particular non-equilibrium state. ... (54)
108
Thermodynamics – Kinetics ofDynamic Systems
Thermodynamics – Kinetics ofDynamic Systems
82
Fig. 15. Liquid hold up variation along the pipeline
Compared with steady state, the ... strength of
dissipative fluxes is limited so that the “second order approximation of equations ofstate is appropriate:
90
Thermodynamics – Kinetics ofDynamic Systems
Extended Irreversible Thermodynamics...
... for transition metals,
134
Thermodynamics – Kinetics ofDynamic Systems
Thermodynamics – Kinetics ofDynamic Systems
120
Fig. 6. Structure of B domain of protein A (BdpA)
Successful folding ... factor
1
2
appears to avoid double-counting of bonds for E
tot
=
∑
E
α
.
136
Thermodynamics – Kinetics ofDynamic Systems
Thermodynamics – Kinetics ofDynamic Systems
122
design protein (FSD) ... (3)
in the system. K
OHN and SHAM mapped the problem of a systemof N interacting electrons
onto the problem of a set of systems of non-interacting electrons in the effective potential v
eff
of the...
... (Cu) the elastic constants of
146
Thermodynamics – Kinetics ofDynamic Systems
Thermodynamics – Kinetics ofDynamic Systems
168
was the main motivation of the authors of PR-EOS which in general ... (34)
¯
ρ
(e)
α
=
∑
β
ˆ
y
β
(ρ
B
−ρ
A
)+ρ
A
(35)
144
Thermodynamics – Kinetics ofDynamic Systems
Thermodynamics – Kinetics ofDynamic Systems
166
Fig. 1. Pressure volume diagram of a pure component
An EOS can represent the phase behavior of ... Ferrante, J. (1984). Universal features of the equation of
state of metals. Phys.Rev.B, Vol. 29, 2963–2969.
Stølen, S. & Grande, T. (2003). Chemical thermodynamics of materials - macroscopic and microscopic
aspects,...
... induced state.
It is of interest to elicit the influence of the nucleocy-
toplasmic shuttling of KlGal1p on the behavior of the
switch. The steady -state model is simulated by varying
the value of the ... operation of the GAL switch.
The steady -state model has been evaluated for regu-
latory designs of the GAL system. It is of interest to
ascertain the role of autoregulation in the synthesis of
activator ... species of yeast are related evolutionarily, with
similar regulatory components, it is of interest to com-
pare the steady -state performances of the GAL systems
of the two organisms. The steady-state...
... the event of the outbreak of a financial crisis is
that of lender of last resort. Owing to the many types of interaction which take place nowadays
between markets, the possible causes of systemic ... appear in the statements of
account of credit institutions, provide only a very sketchy picture of the development of companies’
financing requirements. As is shown by the data of the Central ... the
direction of the analyses by studying to what extent macroeconomic developments of a real nature can
affect the stability of the financial system.
2. Theoretical outline of the determinants of financial...