Application of Quasi-Steady-State Methods to Nonlinear Models of Intracellular Transport by Molecular Motors

2017 ◽  
Vol 79 (9) ◽  
pp. 1923-1978 ◽  
Author(s):  
Cole Zmurchok ◽  
Tim Small ◽  
Michael J. Ward ◽  
Leah Edelstein-Keshet
Keyword(s):  
Steady State ◽  
Molecular Motors ◽  
Intracellular Transport ◽  
Nonlinear Models ◽  
Quasi Steady State

Implicit Quasi-Steady-State Approximation and Application to a Power Plant Evaporator

2006 ◽  
Vol 129 (1) ◽  
pp. 66-71 ◽  
Author(s):  
Eduard Eitelberg ◽  
Edward Boje
Keyword(s):  
Steady State ◽  
Power Plant ◽  
Nonlinear Models ◽  
Low Frequency ◽  
Perturbation Parameter ◽  
Perturbation Approach ◽  
Quasi Steady State ◽  
Reduced Order ◽  
First Order ◽  
Time Scale Separation

Construction of reduced order models using the conventional quasi-steady-state (QSS) or singular perturbation approach may not yield good low frequency approximations, especially if there is not a distinct time scale separation into slow and fast subsystems. An implicit QSS technique is proposed for general nonlinear models. The resulting reduced order model is accurate to first order in the perturbation parameter and its linearization is accurate to first order in frequency. An example is included showing the application of the proposed method to model reduction on a power plant evaporator.

Network reconstruction based on steady-state data

2008 ◽  
Vol 45 ◽  
pp. 161-176 ◽  
Author(s):  
Eduardo D. Sontag
Keyword(s):  
Steady State ◽  
Reverse Engineering ◽  
Theoretical Method ◽  
Network Reconstruction ◽  
Quasi Steady State ◽  
State Data

This paper discusses a theoretical method for the “reverse engineering” of networks based solely on steady-state (and quasi-steady-state) data.

Quasi-steady-state performance of a heat pipe subjected to transient acceleration loadings

10.2514/3.895 ◽  
1997 ◽  
Vol 11 ◽  
pp. 306-309 ◽  
Author(s):  
Edwin H. Olmstead ◽  
Edward S. Taylor ◽  
Meng Wang ◽  
Parviz Moin ◽  
Scott K. Thomas ◽  
...  
Keyword(s):  
Steady State ◽  
Heat Pipe ◽  
Quasi Steady State ◽  
Steady State Performance

A Graphical Method for Storage Coefficient Determination from Quasi-Steady State Flow Data

1996 ◽  
Vol 27 (4) ◽  
pp. 247-254 ◽  
Author(s):  
Zekâi Şen
Keyword(s):  
Steady State ◽  
Graphical Method ◽  
Pumping Test ◽  
Quasi Steady State ◽  
Flow Data ◽  
Steady State Flow ◽  
Storage Coefficient ◽  
State Flow ◽  
Aquifer Test

A simple, approximate but practical graphical method is proposed for estimating the storage coefficient independently from the transmissivity value, provided that quasi-steady state flow data are available from a pumping test. In the past, quasi-steady state flow distance-drawdown data have been used for the determination of transmissivity only. The method is applicable to confined and leaky aquifers. The application of the method has been performed for various aquifer test data available in the groundwater literature. The results are within the practical limits of approximation compared with the unsteady state flow solutions.

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