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Synthetic biology is an interdisciplinary science that involves using principles from disciplines such as engineering, molecular biology, cell biology, and systems biology. It involves remodeling existing organisms from nature or constructing completely new synthetic organisms for applications such as protein or enzyme production, bioremediation, value-added macromolecule production, and the addition of desirable traits to crops, to name a few.
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Automated Robotic Liquid Handling Assembly of Modular DNA Devices
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Formal reasoning about synthetic biology using higher-order-logic theorem proving.

Sa'ed Abed1, Adnan Rashid2, Osman Hasan2

  • 1Computer Engineering Department, College of Engineering and Petroleum, Kuwait University, Kuwait. s.abed@ku.edu.kw.

IET Systems Biology
|October 23, 2020
PubMed
Summary

Higher-order-logic theorem proving enhances synthetic biology analysis. This method uses mathematical models and deductive reasoning for accurate analysis of biological systems, improving upon traditional methods.

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Area of Science:

  • Synthetic biology
  • Formal methods
  • Computational biology

Background:

  • Traditional analysis of biological systems in synthetic biology relies on paper-and-pencil proofs and simulations.
  • These conventional methods have inherent limitations, often failing to ensure accurate results.
  • There is a need for more rigorous and accurate analytical approaches in synthetic biology.

Purpose of the Study:

  • To propose and utilize higher-order-logic (HOL) theorem proving as a complementary approach for analyzing linear biological systems.
  • To develop a HOL-based mathematical model for genetic circuits and bio-controllers.
  • To ensure accuracy in the analysis of synthetic biology systems through deductive reasoning.

Main Methods:

  • Developing mathematical models of genetic circuits and bio-controllers using HOL.
  • Employing deductive reasoning within an interactive theorem prover for analysis.
  • Modeling continuous dynamics using differential equations and performing transfer function analysis with Laplace transforms within a theorem prover.

Main Results:

  • Formal analysis of genetic circuits including activated/repressed expressions and autoactivation of proteins.
  • Analysis of phase lag and lead controllers used in biological applications.
  • Demonstration of HOL theorem proving's capability to accurately analyze complex biological system dynamics.

Conclusions:

  • Higher-order-logic theorem proving offers a robust and accurate method for analyzing synthetic biology systems.
  • This approach overcomes limitations of conventional analysis techniques.
  • The integration of logic, mathematics, and deductive reasoning ensures reliable results for biological circuit and controller analysis.