| 1. | How far can we push chemical self - assembly
化学自装配技术能够发展到什么程度 |
| 2. | Many researchers try to develop various self - assembly model based dna molecules to solve the mathematical problem
研究者们就是针对各种具体问题建立基于dna的自装配模型。 |
| 3. | His works only consider the uniform case . in this paper , i develop his theory and study the non - uniform case focusing on equilibrium
本文把adleman的理论推广到结合率和分离率不一致的情况，研究了自装配的平衡特性。 |
| 4. | Self - assembly of dna is to use dna strands to encode information and apply some operations to these strands , then the result strands will be generated automatically
那么， dna分子的计算的主要机制是什么?事实上，其计算机制是dna分子的自装配。 |
| 5. | A state of self - assembly of dna was specified by a vector ( xi , x2 . . . xn ) . when a equilibrium is reached , there is a probability distribution of the states
为了能够从一般的角度来考虑dna自装配的能力，建立一个自装配的抽象的模型是很有必要的。 |
| 6. | Recently , however , there has been an increasing awareness of the need for alternative model of computation , quantum computation and dna computing being two notable examples
然而，非标准计算的模型越来越受到人们的关注，特别是量子计算和dna计算。而自装配理论是dna计算中最为重要的机制。 |
| 7. | Winfree proved that self - assembling tile systems in a plane are capable of doing universal computation , and when restricted to a line are exactly as powerful as discrete finite automa
Winfree已经证明平面上的片装配系统能做通用的计算，而线性自装配模型的计算能力相当于离散的有限自动机。 |
| 8. | I prove that the linear self - assembly ultimately reach equilibrium in this case . i also show that if the fraction of association - rates to dissociation - rates is uniform , the equilibrium value of each tile is the same
我证明了当结合率和分离率不一致时，自装配能够达到平衡：而且证明了如果结合率和分离率的比值相等，则每类片的平衡值相同。 |
| 9. | The mathematical theory of linear self - assembly was mainly developed by adleman . he presented a mathematical formal model of linear self - assembly and studied the character of dynamics of the model - time - complexity and equilibrium
Adleman发展了线性自装配的数学理论，系统地提出了线性自装配的形式模型，并且研究了这个模型的动力学特征? ?时间复杂性和自装配的平衡特性。 |
| 10. | Then a probability distribution of the states at the equilibrium corresponding a self - assembly model . all the possible can form a manifold called s , and the probability distribution of the states self - assembly system reached form a submanifold of 5 " , called a . so the difference of two self - assembly model is the division of two probability distribution at the manifold
这里，我们利用信息几何的知识给出了dna自装配的一个形式化模型，以分子两两构成的组合的个数为分量组成的向量表示自装配过程中的一个状态，那么，当每自装配系统达到平衡时，就有一个关于这些状态的一个概率分布，所有可能的概率分布形成了一个微分流形s 。 |
