Recycling Circuit Simulation Techniques for Mass-Action Biochemical Kinetics

Author(s):  
Jared E. Toettcher ◽  
Joshua F. Apgar ◽  
Anya R. Castillo ◽  
Bruce Tidor ◽  
Jacob White
2007 ◽  
Vol 8 (2) ◽  
pp. 77-82 ◽  
Author(s):  
Sanghoon Shin ◽  
Sridhar Kanamaluru

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Jorge F. Oliveira ◽  
José C. Pedro

This paper reviews some of the promising doors that functional analysis techniques have recently opened in the field of electronic circuit simulation. Because of the modulated nature of radio frequency (RF) signals, the corresponding electronic circuits seem to operate in a slow time scale for the aperiodic information and another, much faster, time scale for the periodic carrier. This apparent multirate behavior can be appropriately described using partial differential equations (PDEs) within a bivariate framework, which can be solved in an efficient way using hybrid time-frequency techniques. With these techniques, the aperiodic information dimension is treated in the discrete time domain, while the periodic carrier dimension is processed in the frequency domain, in which the solution is evaluated within a space of harmonically related sinusoidal functions. The objective of this paper is thus to provide a general overview on the most important hybrid time-frequency techniques, as the ones found in commercial tools or the ones recently published in the literature.


1998 ◽  
Vol 09 (03) ◽  
pp. 783-805
Author(s):  
TROND YTTERDAL ◽  
TOR A. FJELDLY ◽  
MICHAEL S. SHUR

We present a review of modern analog simulation techniques based on time- and frequency-domain algorithms. For time-domain techniques, important topics such as circuit decomposition, relaxation methods, latency, multirate integration, continuation methods, parallel algorithms, and finite difference time-domain methods are discussed. Frequency-domain simulation techniques included are harmonic balance, harmonic relaxation, harmonic-Newton, spectral balance, methods for quasiperiodic circuits, and device modeling for frequency domain simulators. Also included are examples of modern simulators.


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