| Duplication： a Mechanism Producing Disassortative Mixing Networks in Biology |
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| 引用本文： | 赵丹,刘曾荣,王家赠.Duplication： a Mechanism Producing Disassortative Mixing Networks in Biology[J].中国物理快报,2007,24(10):2766-2768. |
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| 作者姓名： | 赵丹 刘曾荣 王家赠 |
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| 作者单位： | [1]Department of Mathematics, Shanghai University, Shanghai 200444 [2]Institute of Systems Biology, Shanghai University, Shanghai 200444 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No 10672093, and the Innovation Foundation of Shanghai University for Postgraduate Students. |
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| 摘 要： | Assortative/disassortative mixing is an important topological property of a network. A network is called assortative mixing if the nodes in the network tend to connect to their connectivity peers, or disassortative mixing if nodes with low degrees are more likely to connect with high-degree nodes. We have known that biological networks such as protein-protein interaction networks （PPI）, gene regulatory networks, and metabolic networks tend to be disassortative. On the other hand, in biological evolution, duplication and divergence are two fundamental processes. In order to make the relationship between the property of disassortative mixing and the two basic biological principles clear and to study the cause of the disassortative mixing property in biological networks, we present a random duplication model and an anti-preference duplication model. Our results show that disassortative mixing networks can be obtained by both kinds of models from uncorrelated initial networks. Moreover, with the growth of the network size, the disassortative mixing property becomes more obvious.
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| 关 键 词： | 双蛋白质 相互作用 机械作用 混合网络 |
| 收稿时间： | 2007-7-9 |
| 修稿时间： | 2007-07-09 |
Duplication: a Mechanism Producing Disassortative Mixing Networks in Biology |
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| ZHAO Dan,LIU Zeng-Rong,WANG Jia-Zeng.Duplication: a Mechanism Producing Disassortative Mixing Networks in Biology[J].Chinese Physics Letters,2007,24(10):2766-2768. |
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| Authors: | ZHAO Dan LIU Zeng-Rong WANG Jia-Zeng |
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| Affiliation: | 1. Department of Mathematics, Shanghai University, Shanghai 200444 ; 2.Institute of Systems Biology, Shanghai University, Shanghai 200444 |
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| Abstract: | Assortative/disassortative mixing is an important topological property of a network. A network is called assortative mixing if the nodes in the network tend to connect to their connectivity peers, or disassortative mixing if nodes with low degrees are more likely to connect with high-degree nodes. We have known that biological networks such as protein--protein interaction networks (PPI), gene regulatory networks, and metabolic networks tend to be disassortative. On the other hand, in biological evolution, duplication and divergence are two fundamental processes. In order to make the relationship between the property of disassortative mixing and the two basic biologicalprinciples clear and to study the cause of the disassortative mixing property in biological networks, we present a random duplication model and an anti-preference duplication model. Our results show that disassortative mixing networks can be obtained by both kinds of models from uncorrelated initial networks. Moreover, with the growth of the network size, the disassortative mixing property becomes more obvious. |
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| Keywords: | 05 45 Ra 05 45 Xt 89 75 -k |
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