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Journal articles on the topic 'Invasion boundary'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Gabrielli, Andrea, Raffaele Cafiero, and Guido Caldarelli. "Theory of boundary effects in invasion percolation." Journal of Physics A: Mathematical and General 31, no. 37 (1998): 7429–46. http://dx.doi.org/10.1088/0305-4470/31/37/006.

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2

Chang, Feng-Ming, Siang-Jie Hong, Yu-Jane Sheng, and Heng-Kwong Tsao. "Wetting Invasion and Retreat across a Corner Boundary." Journal of Physical Chemistry C 114, no. 3 (2010): 1615–21. http://dx.doi.org/10.1021/jp9097588.

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3

Liang, Wanwan, Liem Tran, Jerome Grant, and Vivek Srivastava. "Estimating Invasion Dynamics with Geopolitical Unit-Level Records: The Optimal Method Depends on Irregularity and Stochasticity of Spread." Sustainability 12, no. 20 (2020): 8526. http://dx.doi.org/10.3390/su12208526.

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Biological invasions are an ongoing threat for sustainability of ecosystems, and estimating the spread of invasive species is critical for making management decisions. Geopolitical unit-level data (GULD) are often used to estimate invasions due to their wide availability, and researchers had evaluated the abilities of multiple methods to estimate invasion with GULD. However, earlier studies were case based and only addressed limited information on the spread, thus making it inadequate to determine which method to choose to estimate invasions with GULD under various spread scenarios. Here, we c

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4

Li, Gao, Wen-Xi Ren, Ying-Feng Meng, Feng Yi, Ai-Sheng Sun, and Heng-Zhi Chu. "Boundary effect on liquid invasion in tight gas reservoirs." Thermal Science 19, no. 4 (2015): 1393–96. http://dx.doi.org/10.2298/tsci1504393l.

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Liquid invasion is an important transport phenomenon in many geophysical and environmental applications. A new capillary model considering boundary effect is proposed to reveal its mechanism. The boundary fluid layer not only reduces the effective flow radius, but also changes the viscosity of fluid. Thus the capillary force and viscosity resistance increases, however, the increase of capillary force is faster than that of viscosity resistance, therefore the invasion front arrives at the critical distance earlier.

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Khapugin, Anatoliy A., Elena V. Vargot, Gennadiy G. Chugunov, and Nikita I. Shugaev. "Invasion of alien plants in fire-damaged forests at southern boundary of the taiga zone." Forest Systems 25, no. 3 (2016): eSC13. http://dx.doi.org/10.5424/fs/2016253-09461.

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Aim of study: Biological invasions are one of the most important areas of forest research. In this study, we revealed invasibility of fire-damaged forests at the southern boundary of the taiga zone.Area of study: The Mordovia State Nature Reserve (Central Russia).Material and Methods: Altogether, 11 square plots of each 100 ×100 m were established in different types of fire-damaged forests. To test plant invasion outside the established plots, field researches were carried out by route method in fire-damaged area of the Mordovia Reserve.Main Results: Six alien species (Erigeron canadensis, E.

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Trucu, Dumitru, Ping Lin, Mark A. J. Chaplain, and Yangfan Wang. "A Multiscale Moving Boundary Model Arising in Cancer Invasion." Multiscale Modeling & Simulation 11, no. 1 (2013): 309–35. http://dx.doi.org/10.1137/110839011.

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7

D'ACUNTO, B., L. FRUNZO, V. LUONGO, and M. R. MATTEI. "Invasion moving boundary problem for a biofilm reactor model." European Journal of Applied Mathematics 29, no. 6 (2018): 1079–109. http://dx.doi.org/10.1017/s0956792518000165.

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The work presents the analysis of the free boundary value problem related to the one-dimensional invasion model of new species in biofilm reactors. In the framework of continuum approach to mathematical modelling of biofilm growth, the problem consists of a system of non-linear hyperbolic partial differential equations governing the microbial species growth and a system of semi-linear elliptic partial differential equations describing the substrate trends. The model is completed with a system of elliptic partial differential equations governing the diffusion and reaction of planktonic cells, w

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8

El-Hachem, Maud, Scott W. McCue, and Matthew J. Simpson. "A sharp-front moving boundary model for malignant invasion." Physica D: Nonlinear Phenomena 412 (November 2020): 132639. http://dx.doi.org/10.1016/j.physd.2020.132639.

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9

Tian, Canrong, and Shigui Ruan. "A free boundary problem for Aedes aegypti mosquito invasion." Applied Mathematical Modelling 46 (June 2017): 203–17. http://dx.doi.org/10.1016/j.apm.2017.01.050.

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10

Park, Youngjae, Jinhee Park, and Gil-Jin Jang. "Efficient Perineural Invasion Detection of Histopathological Images Using U-Net." Electronics 11, no. 10 (2022): 1649. http://dx.doi.org/10.3390/electronics11101649.

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Perineural invasion (PNI), a sign of poor diagnosis and tumor metastasis, is common in a variety of malignant tumors. The infiltrating patterns and morphologies of tumors vary by organ and histological diversity, making PNI detection difficult in biopsy, which must be performed manually by pathologists. As the diameters of PNI nerves are measured on a millimeter scale, the PNI region is extremely small compared to the whole pathological image. In this study, an efficient deep learning-based method is proposed for detecting PNI regions in multiple types of cancers using only PNI annotations wit

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11

Belouard, Nadège, Bona Sebastiano De, Matthew R. Helmus, Isabella G. Smith, and Jocelyn E. Behm. "A method to quantify jump dispersal of invasive species from occurrence data: the case of the spotted lanternfly, Lycorma delicatula." NeoBiota 98 (May 19, 2025): 319–34. https://doi.org/10.3897/neobiota.98.147310.

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The accuracy of predicting the spread of biological invasions is improved if models explicitly incorporate the two main dispersal mechanisms: diffusive spread and jump dispersal. However, quantitative methods for differentiating these two mechanisms in spatial occurrence data are lacking. We present jumpID, an R package using directional analysis of occurrence data to distinguish between jump dispersal and diffusive spread in biological invasions. We applied this method to occurrence data from the spotted lanternfly (<i>Lycorma delicatula</i>) invasion in the US, a pest rapidly expanding its r

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12

Neri, Franco M., Francisco J. Pérez-Reche, Sergei N. Taraskin, and Christopher A. Gilligan. "Heterogeneity in susceptible–infected–removed (SIR) epidemics on lattices." Journal of The Royal Society Interface 8, no. 55 (2010): 201–9. http://dx.doi.org/10.1098/rsif.2010.0325.

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The percolation paradigm is widely used in spatially explicit epidemic models where disease spreads between neighbouring hosts. It has been successful in identifying epidemic thresholds for invasion, separating non-invasive regimes, where the disease never invades the system, from invasive regimes where the probability of invasion is positive. However, its power is mainly limited to homogeneous systems. When heterogeneity (environmental stochasticity) is introduced, the value of the epidemic threshold is, in general, not predictable without numerical simulations. Here, we analyse the role of h

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13

Leung, Brian, Oscar J. Cacho, and Daniel Spring. "Searching for non-indigenous species: rapidly delimiting the invasion boundary." Diversity and Distributions 16, no. 3 (2010): 451–60. http://dx.doi.org/10.1111/j.1472-4642.2010.00653.x.

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14

Frunzo, L., and M. R. Mattei. "Qualitative analysis of the invasion free boundary problem in biofilms." Ricerche di Matematica 66, no. 1 (2016): 171–88. http://dx.doi.org/10.1007/s11587-016-0295-7.

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15

Price, S. A., L. Schmitz, C. E. Oufiero, et al. "Two waves of colonization straddling the K–Pg boundary formed the modern reef fish fauna." Proceedings of the Royal Society B: Biological Sciences 281, no. 1783 (2014): 20140321. http://dx.doi.org/10.1098/rspb.2014.0321.

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Living reef fishes are one of the most diverse vertebrate assemblages on Earth. Despite its prominence and ecological importance, the origins and assembly of the reef fish fauna is poorly described. A patchy fossil record suggests that the major colonization of reef habitats must have occurred in the Late Cretaceous and early Palaeogene, with the earliest known modern fossil coral reef fish assemblage dated to 50 Ma. Using a phylogenetic approach, we analysed the early evolutionary dynamics of modern reef fishes. We find that reef lineages successively colonized reef habitats throughout the La

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16

Kye, Geunho, Jonathan Machta, Karen C. Abbott, et al. "Sharp boundary formation and invasion between spatially adjacent periodical cicada broods." Journal of Theoretical Biology 515 (April 2021): 110600. http://dx.doi.org/10.1016/j.jtbi.2021.110600.

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17

Mahemuti, Rouzimaimaiti, Ahmadjan Muhammadhaji, and Takashi Suzuki. "Research on the Solution of Cell Invasion Model with Free Boundary." Open Journal of Applied Sciences 07, no. 06 (2017): 242–61. http://dx.doi.org/10.4236/ojapps.2017.76021.

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18

Bu, Fanxi, Yang Liu, Shuangqing Chen, et al. "Analysis and Prediction of Methane Invasion Distance Considering Real Ground Boundary." ACS Omega 6, no. 43 (2021): 29111–25. http://dx.doi.org/10.1021/acsomega.1c04322.

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19

Rubenson, Erika S., and Julian D. Olden. "An invader in salmonid rearing habitat: current and future distributions of smallmouth bass (Micropterus dolomieu) in the Columbia River Basin." Canadian Journal of Fisheries and Aquatic Sciences 77, no. 2 (2020): 314–25. http://dx.doi.org/10.1139/cjfas-2018-0357.

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Invasive species and climate change are leading threats to freshwater ecosystems. In the Columbia River Basin (CRB), nonnative fishes are a critical consideration in salmon recovery, yet managers lament a lack of distribution information. Combining a species distribution model (SDM) with environmental DNA (eDNA), we locate range boundary regions of nonnative smallmouth bass (Micropterus dolomieu) and evaluate its overlap with native salmonids. A combination of thermal, hydrological, and geomorphic variables predict that smallmouth bass is distributed across ∼18 000 river kilometres and overlap

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20

Yuan, Sanling, Yu Zhao, and Anfeng Xiao. "Competition between Plasmid-Bearing and Plasmid-Free Organisms in a Chemostat with Pulsed Input and Washout." Mathematical Problems in Engineering 2009 (2009): 1–17. http://dx.doi.org/10.1155/2009/204632.

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We consider a model of competition between plasmid-bearing and plasmid-free organisms in the chemostat with pulsed input and washout. We investigate the subsystem with nutrient and plasmid-free organism and study the stability of the boundary periodic solutions, which are the boundary periodic solutions of the system. The stability analysis of the boundary periodic solution yields the invasion threshold of the plasmid-bearing organism. By using the standard techniques of bifurcation theory, we prove that above this threshold there are periodic oscillations in substrate, plasmid-free, and plasm

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21

Carraro, Thomas, Sven E. Wetterauer, Ana Victoria Ponce Bobadilla, and Dumitru Trucu. "A level-set approach for a multi-scale cancer invasion model." Mathematics in Applied Sciences and Engineering 2, no. 1 (2021): 32–54. http://dx.doi.org/10.5206/mase/11087.

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The quest for a deeper understanding of the cancer growth and spread process focuses on the naturally multiscale nature of cancer invasion, which requires an appropriate multiscale modeling and analysis approach. The cross-talk between the dynamics of the cancer cell population on the tissue scale (macroscale) and the proteolytic molecular processes along the tumor border on the cell scale (microscale) plays a particularly important role within the invasion processes, leading to dramatic changes in tumor morphology and influencing the overall pattern of cancer spread. Building on the multiscal

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22

Pegler, Samuel S., Emily L. Bain, Herbert E. Huppert, and Jerome A. Neufeld. "Fluid invasion of an unsaturated leaky porous layer." Journal of Fluid Mechanics 777 (July 21, 2015): 97–121. http://dx.doi.org/10.1017/jfm.2015.315.

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We study the flow and leakage of gravity currents injected into an unsaturated (dry), vertically confined porous layer containing a localized outlet or leakage point in its lower boundary. The leakage is driven by the combination of the gravitational hydrostatic pressure head of the current above the outlet and the pressure build-up from driving fluid downstream of the leakage point. Model solutions illustrate transitions towards one of three long-term regimes of flow, depending on the value of a dimensionless parameter $D$, which, when positive, represents the ratio of the hydrostatic head ab

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23

Rouillard, Andrew D., and Jeffrey W. Holmes. "Mechanical Boundary Conditions Bias Fibroblast Invasion in a Collagen-Fibrin Wound Model." Biophysical Journal 106, no. 4 (2014): 932–43. http://dx.doi.org/10.1016/j.bpj.2013.12.002.

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24

Guan, Liu-Yuan, Jian-Qing Lv, De-Qing Zhang, and Bo Li. "Collective Polarization of Cancer Cells at the Monolayer Boundary." Micromachines 12, no. 2 (2021): 112. http://dx.doi.org/10.3390/mi12020112.

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Cell polarization, a process depending on both intracellular and intercellular interactions, is crucial for collective cell migration that commonly emerges in embryonic development, tissue morphogenesis, wound healing and cancer metastasis. Although invasive cancer cells display weak cell–cell interactions, they can invade host tissues through a collective mode. Yet, how cancer cells without stable cell–cell junctions polarize collectively to migrate and invade is not fully understood. Here, using a wound-healing assay, we elucidate the polarization of carcinoma cells at the population level.

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25

Abubakar, Aria, Tarek M. Habashy, Vladimir Druskin, Leonid Knizhnerman, and Sofia Davydycheva. "A 3D parametric inversion algorithm for triaxial induction data." GEOPHYSICS 71, no. 1 (2006): G1—G9. http://dx.doi.org/10.1190/1.2168009.

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We develop a parametric inversion algorithm to determine simultaneously the horizontal and vertical resistivities of both the formation and invasion zones, invasion radius, bed boundary upper location and thickness, and relative dip angle from electromagnetic triaxial induction logging data. This is a full 3D inverse scattering problem in transversally isotropic media. To acquire sufficient sensitivity to invert for all of these parameters, we collect the data using a multicomponent, multispacing induction array. For each transmitter-receiver spacing this multicomponent tool has sets of three

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26

Li, Yijie, Zhiming Guo, and Yanyuan Xing. "Modeling Wolbachia Diffusion in Mosquito Populations by Discrete Competition Model." Discrete Dynamics in Nature and Society 2020 (February 27, 2020): 1–11. http://dx.doi.org/10.1155/2020/8987490.

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Dengue fever is caused by dengue virus and transmitted by Aedes mosquitoes. A promising avenue to control this disease is to infect the wild Aedes population with the bacterium Wolbachia driven by cytoplasmic incompatibility (CI). To study the invasion of Wolbachia into wild mosquito population, we formulate a discrete competition model and analyze the competition between released mosquitoes and wild mosquitoes. We show the global asymptotic properties of the trivial equilibrium, boundary equilibrium, and positive equilibrium and give the conditions for the successful invasion of Wolbachia. Fi

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27

Coveney, P. V., J. B. Maillet, J. L. Wilson, P. W. Fowler, O. Al-Mushadani, and B. M. Boghosian. "Lattice-Gas Simulations of Ternary Amphiphilic Fluid Flow in Porous Media." International Journal of Modern Physics C 09, no. 08 (1998): 1479–90. http://dx.doi.org/10.1142/s0129183198001345.

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We develop our existing two-dimensional lattice-gas model to simulate the flow of single phase, binary immiscible and ternary amphiphilic fluids. This involves the inclusion of fixed obstacles on the lattice, together with the inclusion of "no-slip" boundary conditions. Here we report on preliminary applications of this model to the flow of such fluids within model porous media. We also construct fluid invasion boundary conditions, and the effects of invading aqueous solutions of surfactant on oil-saturated rock during imbibition and drainage are described.

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28

Suveges, Szabolcs, Kismet Hossain-Ibrahim, J. Douglas Steele, Raluca Eftimie, and Dumitru Trucu. "Mathematical Modelling of Glioblastomas Invasion within the Brain: A 3D Multi-Scale Moving-Boundary Approach." Mathematics 9, no. 18 (2021): 2214. http://dx.doi.org/10.3390/math9182214.

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Brain-related experiments are limited by nature, and so biological insights are often limited or absent. This is particularly problematic in the context of brain cancers, which have very poor survival rates. To generate and test new biological hypotheses, researchers have started using mathematical models that can simulate tumour evolution. However, most of these models focus on single-scale 2D cell dynamics, and cannot capture the complex multi-scale tumour invasion patterns in 3D brains. A particular role in these invasion patterns is likely played by the distribution of micro-fibres. To inv

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29

Goess, Ruediger, Ayse Mutgan, Umut Çalışan, et al. "Patterns and Relevance of Langerhans Islet Invasion in Pancreatic Cancer." Cancers 13, no. 2 (2021): 249. http://dx.doi.org/10.3390/cancers13020249.

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Background: Pancreatic cancer‐associated diabetes mellitus (PC‐DM) is present in most patients with pancreatic cancer, but its pathogenesis remains poorly understood. Therefore, we aimed to characterize tumor infiltration in Langerhans islets in pancreatic cancer and determine its clinical relevance. Methods: Langerhans islet invasion was systematically analyzed in 68 patients with pancreatic ductal adenocarcinoma (PDAC) using histopathological examination and 3D in vitro migration assays were performed to assess chemoattraction of pancreatic cancer cells to islet cells. Results: Langerhans is

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30

Goess, Ruediger, Ayse Ceren Mutgan, Umut Çalışan, et al. "Patterns and Relevance of Langerhans Islet Invasion in Pancreatic Cancer." Cancers 13, no. 2 (2021): 249. http://dx.doi.org/10.3390/cancers13020249.

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Background: Pancreatic cancer‐associated diabetes mellitus (PC‐DM) is present in most patients with pancreatic cancer, but its pathogenesis remains poorly understood. Therefore, we aimed to characterize tumor infiltration in Langerhans islets in pancreatic cancer and determine its clinical relevance. Methods: Langerhans islet invasion was systematically analyzed in 68 patientswith pancreatic ductal adenocarcinoma (PDAC) using histopathological examination and 3D in vitro migration assays were performed to assess chemoattraction of pancreatic cancer cells to isletcells. Results: Langerhans isle

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31

Pan, Huanglei, Xiaolong Yu, Dishi Liu, Dalin Shi, Shengyun Yang, and Weiran Pan. "Marine Environmental Regionalization for the Beibu Gulf Based on a Physical-Biological Model." Journal of Marine Science and Engineering 9, no. 2 (2021): 187. http://dx.doi.org/10.3390/jmse9020187.

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A physical–biological ocean model was employed to investigate characteristics of the Beibu Gulf in the northwest South China Sea (SCS) from 2011 to 2015. We adopted the spatially constrained multivariate clustering method to determine the refined marine environmental regionalization using 10 variables from the model output, and compared regionalization differences in ENSO (El Niño–Southern Oscillation) years. The simulated physical and biochemical variables display a wide spectrum of patterns in space and time. The regionalization maps indicated that the Qiongzhou Strait and its adjacent area

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32

Berestycki, Henri, Anne-Charline Coulon, Jean-Michel Roquejoffre, and Luca Rossi. "The effect of a line with nonlocal diffusion on Fisher-KPP propagation." Mathematical Models and Methods in Applied Sciences 25, no. 13 (2015): 2519–62. http://dx.doi.org/10.1142/s0218202515400175.

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We propose a new model of accelerating fronts, consisting of one equation with nonlocal diffusion on a line, coupled via the boundary condition with a reaction–diffusion equation in the upper half-plane. The underlying biological question is to understand how transportation networks may enhance biological invasions. We show that the line accelerates the propagation in the direction of the line and enhances the overall propagation in the plane and that the propagation is directed by diffusion on the line, where it is exponentially fast in time. We also describe completely the invasion in the up

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33

Shuttleworth, Robyn, and Dumitru Trucu. "Multiscale Modelling of Fibres Dynamics and Cell Adhesion within Moving Boundary Cancer Invasion." Bulletin of Mathematical Biology 81, no. 7 (2019): 2176–219. http://dx.doi.org/10.1007/s11538-019-00598-w.

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34

Li, Dan, Chunlai Mu, and Pan Zheng. "Boundedness and large time behavior in a quasilinear chemotaxis model for tumor invasion." Mathematical Models and Methods in Applied Sciences 28, no. 07 (2018): 1413–51. http://dx.doi.org/10.1142/s0218202518500380.

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This paper deals with the quasilinear chemotaxis system modeling tumor invasion [Formula: see text] under homogenous Neumann boundary conditions in a smoothly convex bounded domain [Formula: see text] [Formula: see text], where [Formula: see text] is a given function satisfying [Formula: see text] for all [Formula: see text] with [Formula: see text] and [Formula: see text]. Here the matrix-valued function [Formula: see text] fulfills [Formula: see text] for all [Formula: see text] with some [Formula: see text] and [Formula: see text]. It is shown that for all reasonably regular initial data, a

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35

Roth, Louise Marie. "The Right to Privacy Is Political: Power, the Boundary Between Public and Private, and Sexual Harassment." Law & Social Inquiry 24, no. 01 (1999): 45–71. http://dx.doi.org/10.1111/j.1747-4469.1999.tb00792.x.

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This paper concerns the relationship between power and the ability to defend the night of privacy. The discourse of public and private spheres has shifted historically, engendering arbitrary and changing legal and cultural definitions of the boundary between public and private. Historic specifications of this boundary have become untenable as increasing numbers of women entered the paid labor force. Recent formulations define the boundary of privacy as an area within each individual's life. However, greater social power increases the ability to protect personal privacy because it offers the ab

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36

Caifeng, Zhao, and V. M. Dubovoi. "Research on melanoma depth of invasion prediction method." Optoelectronic Information-Power Technologies 49, no. 1 (2025): 147–56. https://doi.org/10.31649/1681-7893-2025-49-1-147-156.

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Melanoma, a highly malignant skin tumor, relies on its Depth of Invasion (DoI) as a critical metric for assessing tumor malignancy, predicting patient prognosis, and guiding treatment strategies. Traditional DoI measurement methods are manual, time-consuming, and prone to errors due to complex tissue morphologies and the need for fine annotations. This study introduces a novel Convolutional Neural Network (CNN)-based framework that integrates image patch classification with morphological processing to achieve high-precision DoI prediction under coarse annotations. The approach comprises four m

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37

Satik, C., and Y. C. Yortsos. "A Pore-Network Study of Bubble Growth in Porous Media Driven by Heat Transfer." Journal of Heat Transfer 118, no. 2 (1996): 455–62. http://dx.doi.org/10.1115/1.2825866.

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We present experimental and theoretical investigations of vapor phase growth in pore-network models of porous media. Visualization experiments of boiling of ethyl alcohol in horizontal etched-glass micromodels were conducted. The vapor phase was observed to grow into a disordered pattern following a sequence of pressurization and pore-filling steps. At sufficiently small cluster sizes, growth occurred “one pore at a time,” leading to invasion percolation patterns. Single-bubble (cluster) growth was next simulated with a pore-network simulator that includes heat transfer (convection and conduct

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38

PEI, YONGZHEN, YONG YANG, and CHANGGUO LI. "BIFURCATION OF A MUTUALISTIC SYSTEM WITH VARIABLE COEFFICIENTS AND IMPULSIVE EFFECTS." International Journal of Biomathematics 02, no. 03 (2009): 363–75. http://dx.doi.org/10.1142/s1793524509000649.

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In this paper, we introduce and study an impulsive mutualistic model with variable coefficients. By using Floquent theorem, the invasion threshold and the stability of the boundary periodic solution are obtained. Furthermore, by using standard techniques of bifurcation theory, the existent condition of the positive periodic solution is obtained. Finally, numerical simulations are carried out to confirm the main theorems.

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39

Tang, Li Qiang, Yong Yang, and Jing Yuan Yang. "Fracture Analysis on the Invasion Problem of the Porous Material." Key Engineering Materials 348-349 (September 2007): 805–8. http://dx.doi.org/10.4028/www.scientific.net/kem.348-349.805.

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The power law hardening constitutive relations for porous material were established by the material yield function. An idealized interface fracture model was established in which the indenter as rigidity was embedded in the porous material. Under the condition of plane strain, through the analysis of the singularity of the stress and strain and combining the motion and compatibility equations, the governing equation of the wedge-tip was deduced. With the help of numerical calculations and boundary conditions, the asymptotic solutions of the stress and strain near the wedge-tip were obtained. F

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40

Pettres, Roberto. "A first dynamic population invasion study from reactive-telegraph equation and boundary element formulation." Engineering Analysis with Boundary Elements 122 (January 2021): 214–31. http://dx.doi.org/10.1016/j.enganabound.2020.11.002.

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41

Goto, Kazuhisa, Ryuji Tada, Eiichi Tajika, Timothy J. Bralower, Takashi Hasegawa, and Takafumi Matsui. "Evidence for ocean water invasion into the Chicxulub crater at the Cretaceous/Tertiary boundary." Meteoritics & Planetary Science 39, no. 8 (2004): 1233–47. http://dx.doi.org/10.1111/j.1945-5100.2004.tb00943.x.

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42

GOTO, Kazuhisa, Ryuji TADA, Eiichi TAJIKA, Timothy J. BRALOWER, Takashi HASEGAWA, and Takafumi MATSUI. "Evidence for ocean water invasion into the Chicxulub crater at the Cretaceous/Tertiary boundary." Meteoritics & Planetary Science 39, no. 7 (2004): 1233–47. http://dx.doi.org/10.1111/j.1945-5100.2004.tb01139.x.

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43

Rubenson, Erika S., and Julian D. Olden. "Dynamism in the upstream invasion edge of a freshwater fish exposes range boundary constraints." Oecologia 184, no. 2 (2017): 453–67. http://dx.doi.org/10.1007/s00442-017-3885-5.

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44

Chen, Jian-Ping, Ri-Hui Yang, Tian-Hui Zhang, Li-An Liao, Yu-Ting Guan, and Hai-Yang Dai. "Pre-operative enhanced magnetic resonance imaging combined with clinical features predict early recurrence of hepatocellular carcinoma after radical resection." World Journal of Gastrointestinal Oncology 16, no. 4 (2024): 1192–203. http://dx.doi.org/10.4251/wjgo.v16.i4.1192.

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BACKGROUND Indentifying predictive factors for postoperative recurrence of hepatocellular carcinoma (HCC) has great significance for patient prognosis. AIM To explore the value of gadolinium ethoxybenzyl diethylenetriamine pentaacetic acid (Gd-EOB-DTPA) enhanced magnetic resonance imaging (MRI) combined with clinical features in predicting early recurrence of HCC after resection. METHODS A total of 161 patients with pathologically confirmed HCC were enrolled. The patients were divided into early recurrence and non-early recurrence group based on the follow-up results. The clinical, laboratory,

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Ngo, Thi Kim Ngan, Thanh-Huy Nguyen, Fang-Yu Lin, and Ting-Yuan Tu. "Abstract 2306: A deep learning framework for automated segmentation and analysis of 3D breast cancer spheroid invasion dynamics." Cancer Research 84, no. 6_Supplement (2024): 2306. http://dx.doi.org/10.1158/1538-7445.am2024-2306.

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Abstract Invasion of neighboring tissues is a cardinal feature of malignancy, notably observed in aggressive cancers like breast cancer, where it can lead to significant morbidity. To explore cancer invasion dynamics, the implementation of a three-dimensional (3D) tumor spheroid invasion assay offers a swift approach to mimicking a tumor micro-region or micro-metastasis. Differential Interference Contrast (DIC) time-lapse imaging was chosen for its fluorescence-free and non-destructive advantages in capturing live spheroid movement. However, the subsequent analysis posed challenges, including

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Tian, Hong, Xiaoli Chu, Qi Guan, Juan Liu, and Ying Liu. "Hypotaurine promotes glioma cell invasion by hypermethylating the Wnt5a promoter." PLOS One 20, no. 5 (2025): e0312055. https://doi.org/10.1371/journal.pone.0312055.

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Glioma is a particularly lethal central nervous system tumor. Identifying the boundary between gliomas and normal tissues is difficult due to their infiltrative and invasive growth characteristics. This can result in the inevitable recurrence of the tumor after surgery. Preventing the residual tumor from growing or spreading is a major obstacle in treating gliomas. An earlier study suggested that hypotaurine could enhance the invasion of glioma cells while inhibiting the activity of demethylases. The hypotaurine synthesis-deficient U251 cell line usage showed a decrease in the cells’ invasion

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Rumelili, Bahar. "Regional intergovernmental organizations and macropolitical boundary work." International Affairs 101, no. 3 (2025): 821–40. https://doi.org/10.1093/ia/iiaf015.

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Abstract Russia's full-scale invasion of Ukraine in 2022 has thrown into the spotlight the significance of where and how regional intergovernmental organizations (RIOs) such as the European Union draw their macropolitical boundaries. This article develops the notion of macropolitical boundaries to synthesize extant literatures on RIOs and their external relations, and presents a conceptual framework to study how different types of macropolitical boundaries are (re)made through the practices of RIOs and non-member states. The article identifies three dimensions of variation in macropolitical bo

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Tao, Youshan, and Michael Winkler. "Boundedness and stabilization in a multi-dimensional chemotaxis—haptotaxis model." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 144, no. 5 (2014): 1067–84. http://dx.doi.org/10.1017/s0308210512000571.

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This paper deals with the coupled chemotaxis-haptotaxis model of cancer invasion given bywhereχ, ξandμare positive parameters andΩ ⊂ ℝn(n≥ 1) is a bounded domain with smooth boundary. Under zero-flux boundary conditions, it is shown that, for anyμ>χand any sufficiently smooth initial data (u0,w0) satisfyingu0≥ 0 andw0> 0, the associated initial–boundary-value problem possesses a unique global smooth solution that is uniformly bounded. Moreover, we analyse the stability and attractivity properties of the non-trivial homogeneous equilibrium (u, v, w) ≡ (1,1, 0) and establish a quantitative

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Wu, Hao, Yuxin Liu, Tiantian Zhang, Mingxia Xu, and Benqiang Rao. "Impacts of Soil Properties on Species Diversity and Structure in Alternanthera philoxeroides-Invaded and Native Plant Communities." Plants 13, no. 9 (2024): 1196. http://dx.doi.org/10.3390/plants13091196.

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Soil properties can affect plant population dynamics and the coexistence of native and invasive plants, thus potentially affecting community structure and invasion trends. However, the different impacts of soil physicochemical properties on species diversity and structure in native and invaded plant communities remain unclear. In this study, we established a total of 30 Alternanthera philoxeroides-invaded plots and 30 control plots in an area at the geographical boundary between North and South China. We compared the differences in species composition between the invaded and native plant commu

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Liu, Meng, and Yuxiang Li. "Global generalized solutions of a haptotaxis model describing cancer cells invasion and metastatic spread." Communications on Pure & Applied Analysis 21, no. 3 (2022): 927. http://dx.doi.org/10.3934/cpaa.2022004.

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<p style='text-indent:20px;'>In this paper, we consider the following haptotaxis model describing cancer cells invasion and metastatic spread</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1a"> \begin{document}$\begin{array}{*{20}{c}}{\left\{ {\begin{array}{*{20}{l}}{{u_t} = \Delta u - \chi \nabla \cdot (u\nabla w),}&amp;{x \in \Omega ,\;t &gt; 0,}\\{{v_t} = {d_v}\Delta v - \xi \nabla \cdot (v\nabla w),}&amp;{x \in \Omega ,\;t &gt; 0,}\\{{m_t} = {d_m}\Delta m + u - m,}&amp;{x \in \Omega ,\;t &gt; 0,}\\{{w_t} =

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