论文标题
部分可观测时空混沌系统的无模型预测
The SIRAH force-field and interactions between short DNA duplexes
论文作者
论文摘要
储层计算是预测湍流的有力工具，其简单的架构具有处理大型系统的计算效率。然而，其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间，然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用，该系统模拟了湍流的若干特征。我们表明，使用径向基函数作为非线性投影器，即使只有部分观测并且不知道控制方程，也能稳健地捕捉复杂的系统非线性。最后，我们表明，当测量稀疏、不完整且带有噪声，甚至控制方程变得不准确时，我们的网络仍然可以产生相当准确的预测，从而为实际湍流系统的无模型预测铺平了道路。
In recent years, short DNA duplexes have been studied as an interesting self-assembling system and a building block for DNA-based nanotechnologies. Numerical simulation studies for the determination of the full phase diagram of short duplexes require, as an input ingredient, a simplified but reliable force-field able to capture the main features of duplex-duplex interaction. We used the coarse-grained SIRAH force field in the implicit solvent approximation to study the interaction between two short duplexes of double-strand DNA as a function of the relative positions and orientations and the salt concentration, in the cases of 8 and 20 base pairs. We discuss the consequences of our study to determine new simple but qualitatively reliable model potentials.
