globalchange  > 气候变化与战略
DOI: 10.1073/pnas.2013061117
论文题名:
Origin of exponential growth in nonlinear reaction networks
作者: Lin W.-H.; Kussell E.; Young L.-S.; Jacobs-Wagner C.
刊名: Proceedings of the National Academy of Sciences of the United States of America
ISSN: 0027-8424
出版年: 2020
卷: 117, 期:45
起始页码: 27795
结束页码: 27804
语种: 英语
英文关键词: Exponential growth | reaction networks | systems biology | ergodic theory
Scopus关键词: article ; catalysis ; cell cycle ; conceptual framework ; ecosystem ; growth rate ; noise ; systems biology
英文摘要: Exponentially growing systems are prevalent in nature, spanning all scales from biochemical reaction networks in single cells to food webs of ecosystems. How exponential growth emerges in nonlinear systems is mathematically unclear. Here, we describe a general theoretical framework that reveals underlying principles of long-term growth: scalability of flux functions and ergodicity of the rescaled systems. Our theory shows that nonlinear fluxes can generate not only balanced growth but also oscillatory or chaotic growth modalities, explaining nonequilibrium dynamics observed in cell cycles and ecosystems. Our mathematical framework is broadly useful in predicting long-term growth rates from natural and synthetic networks, analyzing the effects of system noise and perturbations, validating empirical and phenomenological laws on growth rate, and studying autocatalysis and network evolution. © 2020 National Academy of Sciences. All rights reserved.
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资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/163959
Appears in Collections:气候变化与战略

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作者单位: Lin, W.-H., Microbial Science Institute, Yale University, West Haven, CT 06516, United States, Department of Molecular, Cellular and Developmental Biology, Yale University, New Haven, CT 06511, United States, Howard Hughes Medical Institute, Yale University, New Haven, CT 06510, United States, Department of Biology, Stanford University, Palo Alto, CA 94305, United States, Chemistry, Engineering & Medicine for Human Health (ChEM-H) Institute, Stanford University, Palo Alto, CA 94305, United States; Kussell, E., Center of Genomics and Systems Biology, Department of Biology, New York University, New York, NY 10003, United States, Department of Physics, New York University, New York, NY 10003, United States; Young, L.-S., Courant Institute of Mathematical Science, New York University, New York, NY 10012, United States, School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540, United States, School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, United States; Jacobs-Wagner, C., Microbial Science Institute, Yale University, West Haven, CT 06516, United States, Department of Molecular, Cellular and Developmental Biology, Yale University, New Haven, CT 06511, United States, Howard Hughes Medical Institute, Yale University, New Haven, CT 06510, United States, Department of Biology, Stanford University, Palo Alto, CA 94305, United States, Chemistry, Engineering & Medicine for Human Health (ChEM-H) Institute, Stanford University, Palo Alto, CA 94305, United States, Department of Microbial Pathogenesis, Yale School of Medicine, New Haven, CT 06510, United States

Recommended Citation:
Lin W.-H.,Kussell E.,Young L.-S.,et al. Origin of exponential growth in nonlinear reaction networks[J]. Proceedings of the National Academy of Sciences of the United States of America,2020-01-01,117(45)
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