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An Algorithm for the Inverse Problem of Matrix Processing: DNA Chains, Their Distance Matrices and Reconstructing
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作者 Boris F. Melnikov Ye Zhang dmitrii chaikovskii 《Journal of Biosciences and Medicines》 CAS 2023年第5期310-320,共11页
We continue to consider one of the cybernetic methods in biology related to the study of DNA chains. Exactly, we are considering the problem of reconstructing the distance matrix for DNA chains. Such a matrix is forme... We continue to consider one of the cybernetic methods in biology related to the study of DNA chains. Exactly, we are considering the problem of reconstructing the distance matrix for DNA chains. Such a matrix is formed on the basis of any of the possible algorithms for determining the distances between DNA chains, as well as any specific object of study. At the same time, for example, the practical programming results show that on an average modern computer, it takes about a day to build such a 30 × 30 matrix for mnDNAs using the Needleman-Wunsch algorithm;therefore, for such a 300 × 300 matrix, about 3 months of continuous computer operation is expected. Thus, even for a relatively small number of species, calculating the distance matrix on conventional computers is hardly feasible and the supercomputers are usually not available. Therefore, we started publishing our variants of the algorithms for calculating the distance between two DNA chains, then we publish algorithms for restoring partially filled matrices, i.e., the inverse problem of matrix processing. Previously, we used the method of branches and boundaries, but in this paper we propose to use another new algorithm for restoring the distance matrix for DNA chains. Our recent work has shown that even greater improvement in the quality of the algorithm can often be achieved without improving the auxiliary heuristics of the branches and boundaries method. Thus, we are improving the algorithms that formulate the greedy function of this method only. . 展开更多
关键词 DNA Chains Distance Matrix Optimization Problem Restoring Algorithm Greedy Algorithm HEURISTICS
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具有罗宾边值条件的一类奇摄动微分方程的内部层
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作者 德米 倪明康 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2020年第2期23-34,共12页
本文研究了一类具有罗宾边值条件的二阶奇摄动右端不连续微分方程,用边界层函数法构造了该类方程解的渐近表达式,最后用缝接法证明了该问题解的存在性,并给出了渐近解的余项估计.
关键词 奇摄动 渐近表达式 罗宾边值条件 内部层
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