Computational Design of Reaction-Diffusion Patterns Using DNA-Based Chemical Reaction Networks

نویسندگان

  • Neil Dalchau
  • Georg Seelig
  • Andrew Phillips
چکیده

DNA self-assembly is a powerful technology for controlling matter at the nanometre to micron scale, with potential applications in high-precision organisation and positioning of molecular components. However, the ability to program DNA-only self-organisation beyond the microscopic scale is currently lacking. In this paper we propose a computational method for programming spatial organisation of DNA at the centimetre scale, by means of DNA strand displacement reaction diffusion systems. We use this method to analyse the spatiotemporal dynamics of an autocatalytic system, a predator-prey oscillator and a two-species consensus network. We find that both autocatalytic and oscillating systems can support travelling waves across centimetre distances, and that consensus in a spatial context results in the spontaneous formation of distinct spatial domains, in which one species is completely eliminated. Together, our results suggest that programmed spatial self-organisation of DNA, through a reaction diffusion mechanism, is achievable with current DNA strand displacement technology.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Kinetic Mechanism Reduction Using Genetic Algorithms, Case Study on H2/O2 Reaction

For large and complex reacting systems, computational efficiency becomes a critical issue in process simulation, optimization and model-based control. Mechanism simplification is often a necessity to improve computational speed. We present a novel approach to simplification of reaction networks that formulates the model reduction problem as an optimization problem and solves it using geneti...

متن کامل

A numerical treatment of a reaction-diffusion model of spatial pattern in the embryo

In this work the mathematical model of a spatial pattern in chemical and biological systems is investigated numerically. The proposed model considered as a nonlinear reaction-diffusion equation. A computational approach based on finite difference and RBF-collocation methods is conducted to solve the equation with respect to the appropriate initial and boundary conditions. The ability and robust...

متن کامل

Combined effect of hall current and chemical reaction on MHD flow through porous medium with heat generation past an impulsively started vertical plate with constant wall temperature and mass diffusion

Unsteady flow with magneto-hydrodynamics and heat generation through porous medium past an impulsively started vertical plate with constant wall temperature and mass diffusion is considered here. The effect studied is a combination of Hall current and chemical reaction. The motivation behind this study is the applications of such kind of problems in industry. In many industrial applications ele...

متن کامل

Designing modular reaction-diffusion programs for complex pattern formation

Cells use sophisticated, multiscale spatial patterns of chemical instructions to control cell fate and tissue growth. While some types of synthetic pattern formation have been well studied, it remains unclear how to design chemical processes that can reproducibly create similar spatial patterns. Here we describe a scalable approach for the design of processes that generate such patterns, which ...

متن کامل

A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon

This paper deals with the numerical solution of a class of reaction diffusion equations arises from ecological phenomena. When two species are introduced into unoccupied habitat, they can spread across the environment as two travelling waves with the wave of the faster reproducer moving ahead of the slower.The mathematical modelling of invasions of species in more complex settings that include ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014