Do Genetic Networks Obey Kirchhoff's and Ohm's Laws?

M. Xiong and J. Arnold (USA)

Keywords

Genetic networks, circuit theory, Current law, mathematical mdels

Abstract

Using biological networks to model biological systems is not a new approach1 , but biological networks have many unique features and pose a significant challenge because of their scale and unprecedented complexity. In this report, we develop a linear circuit theory as a general framework for genetic network analysis. We first introduce concepts of transcriptional potential, current, and resistance that can be used to quantify the operation of a genetic network. Kirchhoff’s Current Law and Ohm’s Law are fundamental to electrical circuits. Applications of linear circuit theory to genetic networks lead to similar laws in a genetic network. Due to lack of experimental methods for measuring resistance of a transcript, we develop computational algorithms to estimate transcriptional resistance based on a structural equation model for genetic networks. Finally, to illustrate the generalized circuit analysis of genetic networks, the proposed models and algorithms are applied to a part of an apoptosis network in humans.

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