Results 101 to 110 of about 437,891 (285)
Traveling waves and spreading speed on a lattice model with age structure
Electronic Journal of Differential Equations, 2012 In this article, we study a lattice differential model for a single species with distributed age-structure in an infinite patchy environment. Using method of approaches by Diekmann and Thieme, we develop a comparison principle and construct a suitable
Zongyi Wang
doaj
Journal of Biological DynamicsThis paper concerns the invasion dynamics of the lattice pioneer-climax competition model with parameter regions in which the system is non-monotone. We estimate the spreading speeds and establish appropriate conditions under which the spreading speeds ...
Haifeng Song, Yuxiang Zhang
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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
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
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Generalized spreading speeds for lattice differential equations with time and space dependence
Electronic Journal of Differential Equations, 2019 This article concerns the spatial spreading speeds for lattice differential equations with general time and space dependence. Firstly, we give the concept of spreading speed intervals.
Ning Wang, Zhi-Cheng Wang
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Spreading dynamics on networks: the role of burstiness, topology and non-stationarity
New Journal of Physics, 2014 Spreading on networks is influenced by a number of factors, including different parts of the inter-event time distribution (IETD), the topology of the network and non-stationarity. In order to understand the role of these factors we study the SI model on
Dávid X Horváth, János Kertész
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RIPK4 function interferes with melanoma cell adhesion and metastasis
Molecular Oncology, EarlyView.RIPK4 promotes melanoma growth and spread. RIPK4 levels increase as skin lesions progress to melanoma. CRISPR/Cas9‐mediated deletion of RIPK4 causes melanoma cells to form less compact spheroids, reduces their migratory and invasive abilities and limits tumour growth and dissemination in mouse models.
Norbert Wronski +9 more
wiley +1 more source
Asymptotic spreading of predator-prey populations in a shifting environment
Mathematics in Applied Sciences and EngineeringInspired by a recent study associating shifting temperature conditions with changes in the efficiency with which predators convert prey to offspring, we propose a predator prey model of reaction-diffusion type to analyze the consequence of such effects ...
King-Yeung Lam, Ray Lee
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Asymptotic Behavior for Radially Symmetric Solutions of a Logistic Equation with a Free Boundary
Mathematical Modelling and Analysis, 2017 In this paper we investigate a logistic equation with a new free boundary condition appearing in ecology, we aim to describe the spreading of a new or invasive species by studying the asymptotic behavior of the radially symmetric solutions of the problem.
Jingjing Cai, Quanjun Wu
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A discrete time model for epidemic spread: traveling waves and spreading speeds
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2017 In this paper, we aim to study spread of an epidemic in a spatiallystratifed population with non-overlapping generations. We consider mean field equation of an endemic chain-binomial process and allow individuals to disperse in the spatial habitat. To be able to model the spatial movement, we used an averaging kernel.
openaire +2 more sources