We have developed a theoretical framework for developing patterns in multiple dimensions using controllable diffusion and designed reactions implemented in DNA. This includes so-called strand displacement reactions in which one single-stranded DNA hybridizes to a hemi-duplex DNA and displaces another single-stranded DNA, reversibly or irreversibly. These reactions can be designed to proceed with designed rate and molecular specificity. By also controlling diffusion by partial complementarity to a stationary, cross-linked DNA, we can generate predictable patterns. We demonstrate this with several simulations showing deterministic, predictable shapes in space.

中文翻译：

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在DNA反应网络中建模可扩展模式生成。

我们已经开发了一种理论框架，可以使用可控扩散和设计在DNA中实现的反应来在多个维度上开发模式。这包括所谓的链置换反应，其中一个单链DNA与半双链DNA杂交，然后将另一个单链DNA可逆或不可逆地置换。可以将这些反应设计为以设计的速率和分子特异性进行。通过还通过与固定的，交联的DNA的部分互补来控制扩散，我们可以生成可预测的模式。我们通过一些模拟来证明这一点，这些模拟显示了空间中确定的，可预测的形状。