Results 71 to 80 of about 893,395 (191)
Coexistence state of a reaction-diffusion system
Electronic Journal of Differential Equations, 2007 Taking the spatial diffusion into account, we consider a reaction-diffusion system that models three species on a growth-limiting, nonreproducing resources in an unstirred chemostat.
Yifu Wang, Yijie Meng
doaj
Attractor for a Reaction-Diffusion System Modeling Cancer Network
Abstract and Applied Analysis, 2014 A reaction-diffusion cancer network regulated by microRNA is considered in this paper. We study the asymptotic behavior of solution and show the existence of global uniformly bounded solution to the system in a bounded domain Ω⊂Rn.
Xueyong Chen +2 more
doaj +1 more source
Emergent thermophoretic behavior in chemical reaction systems
New Journal of Physics, 2022 Exposing a solution to a temperature gradient can lead to the accumulation of particles on either the cold or warm side. This phenomenon is known as thermophoresis, and its microscopic origin is still debated.
Shiling Liang (梁师翎) +2 more
doaj +1 more source
Mathematics, 2022 The Allee effect is widespread among endangered plants and animals in ecosystems, suggesting that a minimum population density or size is necessary for population survival.
Yangyang Shao, Yan Meng, Xinyue Xu
doaj +1 more source
Correlation of the differential expression of PIK3R1 and its spliced variant, p55α, in pan‐cancer
Molecular Oncology, EarlyView.PIK3R1 undergoes alternative splicing to generate the isoforms, p85α and p55α. By combining large patient datasets with laboratory experiments, we show that PIK3R1 spliced variants shape cancer behavior. While tumors lose the protective p85α isoform, p55α is overexpressed, changes linked to poorer survival and more pronounced in African American ...
Ishita Gupta +10 more
wiley +1 more source
Decay Process for Three - Species Reaction - Diffusion System
, 1999 We propose the deterministic rate equation of three-species in the reaction - diffusion system. For this case, our purpose is to carry out the decay process in our three-species reaction-diffusion model of the form $A+B+C\to D$.
Avnir D. +9 more
core +1 more source
Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
Turing instabilities in a mathematical model for signaling networks
, 2011 GTPase molecules are important regulators in cells that continuously run through an activation/deactivation and membrane-attachment/membrane-detachment cycle. Activated GTPase is able to localize in parts of the membranes and to induce cell polarity.
AB Goryachev +27 more
core +1 more source
, 2013 Cooperative behaviors arising from bacterial cell-to-cell communication can be modeled by reaction-diffusion equations having only a single diffusible component.
Hara, Shinji +2 more
core +1 more source
A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates [PDF]
, 2003 We consider a nonlocal eigenvalue problem which arises in the study of stability of spike solutions for reaction-diffusion systems with fractional reaction rates such as the Sel'kov model, the Gray-Scott system, the hypercycle Eigen and Schuster ...
Dancer E. N. +11 more
core +1 more source