Numerical Simulation and Modelling of Electronic and Biochemical Systems
Foundations and Trends® in
Electronic Design Automation
Volume 3 Issue 2-3
Numerical Simulation and Modelling of Electronic and Biochemical Systems
Jaijeet Roychowdhury
University of California, Berkeley
SUGGESTED CITATION:
Jaijeet Roychowdhury (2009)
"Numerical Simulation and Modelling of Electronic and Biochemical Systems",
Foundations and Trends® in Electronic Design Automation: Vol. 3: No 2-3, pp 97303.
http:/dx.doi.org/10.1561/1000000009
Abstract
Numerical simulation and modelling are witnessing a resurgence.
Designing systems with integrated wireless components, mixed-signal blocks and
nanoscale, multi-GHz “digital” circuits is requiring extensive low-level modelling
and simulation. Analysis and design in non-electronic domains, notably in systems
biology, are also relying increasingly on numerical computation. Chapters 2–8 of
this Monograph provide an introduction to the fundamentals of numerical simulation,
and to the basics of modelling electronic circuits and biochemical reactions. The
focus is on a minimal set of concepts that will enable the reader to further explore
the field independently. Differential-algebraic equation models of electronic circuits and
biochemical reactions, together with basic numerical techniques – quiescent, transient and
linear frequency domain analyses, as well as sensitivity and noise analyses – for solving
these differential equations are developed. Downloadable MATLAB implementations are provided.
The last two chapters provide an introduction to computational methods for nonlinear periodic
steady states and multi-time PDE formulations, followed by an overview of model order reduction
(MOR) and, at the end, a glimpse of some applications of oscillator MOR – in circuits (PLLs),
biochemical reaction-diffusion systems and nanoelectronics.