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Your search keyword '"Wang, Chenyuan"' showing total 171 results
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171 results on '"Wang, Chenyuan"'

2. Spatial Heterogeneity Localizes Turing Patterns in Reaction-Cross-Diffusion Systems

Author

Gaffney, Eamonn A., Krause, Andrew L., Maini, Philip K., and Wang, Chenyuan

Subjects
Nonlinear Sciences - Pattern Formation and Solitons, Quantitative Biology - Cell Behavior, Quantitative Biology - Populations and Evolution, Primary: 35B36, 35K57, Secondary: 92C15
Abstract

Motivated by bacterial chemotaxis and multi-species ecological interactions in heterogeneous environments, we study a general one-dimensional reaction-cross-diffusion system in the presence of spatial heterogeneity in both transport and reaction terms. Under a suitable asymptotic assumption that the transport is slow over the domain, while gradients in the reaction heterogeneity are not too sharp, we study the stability of a heterogeneous steady state approximated by the system in the absence of transport. Using a WKB ansatz, we find that this steady state can undergo a Turing-type instability in subsets of the domain, leading to the formation of localized patterns. The boundaries of the pattern-forming regions are given asymptotically by `local' Turing conditions corresponding to a spatially homogeneous analysis parameterized by the spatial variable. We developed a general open-source code which is freely available, and show numerical examples of this localized pattern formation in a Schnakenberg cross-diffusion system, a Keller-Segel chemotaxis model, and the Shigesada-Kawasaki-Teramoto model with heterogeneous parameters. We numerically show that the patterns may undergo secondary instabilities leading to spatiotemporal movement of spikes, though these remain approximately within the asymptotically predicted localized regions. This theory can elegantly differentiate between spatial structure due to background heterogeneity, from spatial patterns emergent from Turing-type instabilities., Comment: 34 pages, 6 figures

Published
2022

19. Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems.

Author

Gaffney, Eamonn A., Krause, Andrew L., Maini, Philip K., and Wang, Chenyuan

Subjects
HETEROGENEITY, SPATIAL systems, CHEMOTAXIS
Abstract

Motivated by bacterial chemotaxis and multi-species ecological interactions in heterogeneous environments, we study a general one-dimensional reaction-cross-diffusion system in the presence of spatial heterogeneity in both transport and reaction terms. Under a suitable asymptotic assumption that the transport is slow over the domain, while gradients in the reaction heterogeneity are not too sharp, we study the stability of a heterogeneous steady state approximated by the system in the absence of transport. Using a WKB ansatz, we find that this steady state can undergo a Turing-type instability in subsets of the domain, leading to the formation of localized patterns. The boundaries of the pattern-forming regions are given asymptotically by 'local' Turing conditions corresponding to a spatially homogeneous analysis parameterized by the spatial variable. We developed a general open-source code which is freely available, and show numerical examples of this localized pattern formation in a Schnakenberg cross-diffusion system, a Keller-Segel chemotaxis model, and the Shigesada-Kawasaki-Teramoto model with heterogeneous parameters. We numerically show that the patterns may undergo secondary instabilities leading to spatiotemporal movement of spikes, though these remain approximately within the asymptotically predicted localized regions. This theory can elegantly differentiate between spatial structure due to background heterogeneity, from spatial patterns emergent from Turing-type instabilities. [ABSTRACT FROM AUTHOR]

Published
2023
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23. Hypoxia-Induced Cardiomyocyte Apoptosis Exacerbates Cardiomyocyte Hypertrophy and Myocardial Injury through p38 MAPK Pathway in SD Rats

Author

Li, Xiaoxu, primary, Pu, Zhijun, additional, Xu, Gang, additional, Yang, Yidong, additional, Cui, Yu, additional, Zhou, Xiaoying, additional, Wang, Chenyuan, additional, Zhong, Zhifeng, additional, Zhou, Simin, additional, Yi, Jun, additional, Shan, Fabo, additional, Yang, Chengzhong, additional, Jiao, Li, additional, Chen, Dewei, additional, and Huang, Jian, additional

Published
2023
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37. Impact Assessment of the M s 7.0 Earthquake on Jiuzhaigou Valley from the Perspective of Vegetation Net Primary Productivity.

Author

Wang, Chenyuan, Hu, Xudong, Hu, Kaiheng, Liu, Shuang, and Zhong, Wei

Subjects
*EARTHQUAKE intensity, *WENCHUAN Earthquake, China, 2008, *EARTHQUAKES, *WORLD Heritage Sites, *DEBRIS avalanches
Abstract

In order to assess the impact of the Ms7.0 Jiuzhaigou earthquake that occurred on 8 August 2017 on vegetation, the Carnegie-Ames-Stanford Approach (CASA) model was adopted to estimate the vegetation net primary productivity (NPP) of Jiuzhaigou Valley, one of the World Heritage Sites, in July, August and September from 2015 to 2019. Then the characteristics of the impact of different earthquake-induced geohazards on vegetation were discussed, and a vulnerability-resilience assessment system concerning the seismic intensity was proposed. The results show that the NPPmax and NPPmean values in Jiuzhaigou Valley first decreased and then increased and were 151.5–261.9 gC/m2 and 54.6–116.3 gC/m2, respectively. The NPP value of more than 70% area was 90–150 gC/m2 in July. In August, the NPPmean values decreased, and the areas with lower values became larger; the NPPmean values of most areas affected by geohazards were 60–150 gC/m2. During the earthquake, the NPPmean values of areas hit by geohazards sharply declined by 27.2% (landslide), 22.4% (debris flow) and 15.7% (collapse) compared with those in the same month in 2016. Vegetation in debris flow zones showed a stronger recovery, with a maximum NPP value increase of about 23.0% in September 2017. The vegetation gradually recovered after the earthquake, as indicated by the uptrend of the NPP values in the corresponding period in 2018 and 2019. In general, the reduction magnitude of NPP values decreased year by year in comparison to that in 2015 and 2016, and the decrease slowed down after the earthquake. The vulnerability and resilience index corresponding to the three seismic intensity ranges were 0.470–0.669 and 0.642–0.693, respectively, and those of Jiuzhaigou Valley were 0.473 and 0.671, respectively. The impact coefficient defined to represent the impact of the earthquake on NPP was 0.146–0.213. This paper provides a theoretical reference and guidance for the impact assessment of earthquakes on the ecosystem. [ABSTRACT FROM AUTHOR]

Published
2022
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