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81.
《Physics letters. A》2020,384(36):126935
Neurodegenerative diseases are closely associated with the amplification and invasion of toxic proteins. In particular Alzheimer's disease is characterized by the systematic progression of amyloid-β and τ-proteins in the brain. These two protein families are coupled and it is believed that their joint presence greatly enhances the resulting damage. Here, we examine a class of coupled chemical kinetics models of healthy and toxic proteins in two spatial dimensions. The anisotropic diffusion expected to take place within the brain along axonal pathways is factored in the models and produces a filamentary, predominantly one-dimensional transmission. Nevertheless, the potential of the anisotropic models towards generating interactions taking advantage of the two-dimensional landscape is showcased. Finally, a reduction of the models into a simpler family of generalized Fisher-Kolmogorov-Petrovskii-Piskunov (FKPP) type systems is examined. It is seen that the latter captures well the qualitative propagation features, although it may somewhat underestimate the concentrations of the toxic proteins. 相似文献
82.
83.
We provide a complexity analysis of the problem of optimal routing of a server on a transportation network in the presence of a competing server. The server that reaches a node first gets the profit from the node. The objective is to maximize the worst-case profit. 相似文献
84.
本提出一种用凸包收缩来解决旅行推销员问题。首先形成一个凸包初始环路。然后,逐个考察凸包内的点,按照增加值从小到大的顺序依次插入,直至考察完所有的点。从而得到一个包含所有点的环路,即旅行推销员问题的一个满意解。 相似文献
85.
The Traveling Tournament Problem (TTP) is a combinatorial problem that combines features from the traveling salesman problem
and the tournament scheduling problem. We propose a family of tabu search solvers for the solution of TTP that make use of
complex combination of many neighborhood structures. The different neighborhoods have been thoroughly analyzed and experimentally
compared. We evaluate the solvers on three sets of publicly available benchmarks and we show a comparison of their outcomes
with previous results presented in the literature. The results show that our algorithm is competitive with those in the literature. 相似文献
86.
Andreas Westerlund Maud Göthe-Lundgren Torbjörn Larsson 《Operations Research Letters》2006,34(3):275-282
We study a class of graph problems which includes as special cases the Held and Karp 1-tree problem, and the minimum spanning tree problem with one degree constraint studied by Glover and Klingman. For another special case, we note a mistake in a paper by Ramesh, Yoon and Karwan. 相似文献
87.
Abdul-Majid Wazwaz 《Physics letters. A》2006,350(5-6):367-370
We use the tanh method and a variable separated ODE method for solving the double sine-Gordon equation and a generalized form of this equation. Several exact travelling wave solutions are formally derived. The two methods provide distinct solutions of different physical structures. 相似文献
88.
A number of heuristics for the traveling salesman problem (TSP) rely on the assumption that the triangle inequality (TI) is satisfied. When TI does not hold, the paper proposes a transformation such that for the transformed problem the TI holds. Consequently, the bounds obtained for heuristics are valid with appropriate modification. Moreover, for a TSP satisfying TI the same transformation strengthens such bounds. The transformation essentially maps the problem into one that is minimal with respect to the property that TI holds. For the symmetric TSP the transformation is particularly simple. For an application of the transformation in the asymmetric case we need the dual solution of an assignment problem. 相似文献
89.
Patrick Jaillet 《Annals of Operations Research》1995,61(1):1-20
In this paper, we present results dealing with properties of well-known geometric random problems in the plane, together with their motivations. The paper specifically concentrates on the traveling salesman and minimum spanning tree problems, even though most of the results apply to other problems such as the Steiner tree problem and the minimum weight matching problem. 相似文献
90.
本文利用Schauder不动点定理的方法和上、下解技巧,研究了时滞格微分方程组的行波解,给出了当系统的非线性项满足“拟单调条件”和“指数拟单调条件”时行波解的存在性. 相似文献