Derivation of a bacterial nutrient-taxis system with doubly degenerate cross-diffusion as the parabolic limit of a velocity-jump process
Author:
Funder
DGAPA-UNAM
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Modelling and Simulation
Link
http://link.springer.com/article/10.1007/s00285-018-1323-x/fulltext.html
Reference60 articles.
1. Alt W (1980) Biased random walk models for chemotaxis and related diffusion approximations. J Math Biol 9(2):147–177
2. Aronson DG (1980) Density-dependent interaction-diffusion systems. In: Stewart WE, Ray WH, Conley CC (eds) Dynamics and modelling of reactive systems (Proc. Adv. Sem., Math. Res. Center, Univ. Wisconsin, Madison, Wisconsin, 1979), Publication of the Mathematics Research Center, University of Wisconsin, vol 44. Academic Press, New York, London, pp 161–176
3. Arouh S, Levine H (2000) Nutrient chemotaxis suppression of a diffusive instability in bacterial colony dynamics. Phys Rev E 62(1):1444–1447
4. Ben-Jacob E, Levine H (2006) Self-engineering capabilities of bacteria. J R Soc Interface 3(6):197–214
5. Ben-Jacob E, Cohen I, Levine H (2000) Cooperative self-organization of microorganisms. Adv Phys 49(4):395–554
Cited by 23 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. A Hamilton–Jacobi approach to nonlocal kinetic equations;Nonlinearity;2024-09-13
2. L∞ bounds in a two-dimensional doubly degenerate nutrient taxis system with general cross-diffusive flux;Journal of Differential Equations;2024-08
3. Superlinear degradation in a doubly degenerate nutrient taxis system;Nonlinear Analysis: Real World Applications;2024-06
4. On a mathematical model for cancer invasion with repellent pH-taxis and nonlocal intraspecific interaction;Zeitschrift für angewandte Mathematik und Physik;2024-02-14
5. Mathematical modeling of glioma invasion and therapy approaches via kinetic theory of active particles;Mathematical Models and Methods in Applied Sciences;2023-03-31
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3