Alexi Bonament, Morgan Madec and Christophe Lallement
Compact modeling of reaction-diffusion-advection mechanisms
for the virtual prototyping of lab-on-chip
2021 IEEE International Symposium on Circuits and Systems (ISCAS), 2021, pp. 1-5,
doi: 10.1109/ISCAS51556.2021.9401396.
Abstract: The topic of this paper is the development of compact models reaction-advection-diffusion phenomenon compatible with a SPICE simulation environment. From a mathematical perspective, biological systems that involve such phenomena are described by partial differential equations, which are not naturally handeled by SPICE. Our approach consists of discretizing these equations according to the finite-difference method and converting the resulting set of ordinary differential equations into an assembly of elementary equivalent electronic circuits written in Verilog-A. The main interest of this approach is the capability of coupling such models with third-party SPICE models of electronic circuits, sensors and transducers as well as biochemical models that can also be written in SPICE. The tool is validated both on simple problems for which analytical solutions are known and by comparison with a finite element simulator of reference
Fig: Core modules of the designed tool. Labels indicate the programming language.
Acknowledgment: This research was supported by the European Regional Development Fund (ERDF) and the Interreg V Upper Rhine Offensive Sciences Program (Project 3.14 – Water Pollution Sensor).
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