Results 81 to 90 of about 32,448 (189)
Turing mechanism underlying a branching model for lung morphogenesis. [PDF]
PLoS ONE, 2017 The mammalian lung develops through branching morphogenesis. Two primary forms of branching, which occur in order, in the lung have been identified: tip bifurcation and side branching.
Hui Xu, Mingzhu Sun, Xin Zhao
doaj +1 more source
Mathematical Biosciences and Engineering, 2022 In this paper, we study the general mechanism of Turing-pattern in a tree-grass competition model with cross diffusion and time delay. The properties of four equilibrium points, the existence of Hopf bifurcation and the sufficient conditions for Turing ...
Rina Su, Chunrui Zhang
doaj +1 more source
Turing instabilities in a mathematical model for signaling networks [PDF]
Journal of Mathematical Biology, 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.
Rätz, Andreas, Röger, Matthias
openaire +5 more sources
Advanced Science, Volume 13, Issue 5, 27 January 2026.We show that solutal Marangoni flows in thin films climbing the outer surfaces of hydrophilic obstacles break circular Belousov‐Zhabotinsky waves into striking flower‐like patterns. Evaporation‐driven surface‐tension gradients, coupled with gravity, trigger the instability; above a threshold, petal number scales linearly with obstacle diameter ...
Sangram Gore +9 more
wiley +1 more source
Stochastic Turing Patterns on a Network
, 2012 The process of stochastic Turing instability on a network is discussed for a specific case study, the stochastic Brusselator model. The system is shown to spontaneously differentiate into activator-rich and activator-poor nodes, outside the region of ...
C. W. Gardiner +4 more
core +1 more source
Pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients [PDF]
, 1992 Reaction-diffusion models for biological pattern formation have been studied extensively in a variety of embryonic and ecological contexts. However, despite experimental evidence pointing to the existence of spatial inhomogeneities in various biological ...
Benson, D. L. +2 more
core +3 more sources
Journal of Biophotonics, Volume 19, Issue 1, January 2026.Unmixed maps showing vascular oxygen saturation (sO2), relative collagen, and relative melanin distributions. Maps were extracted from multispectral imaging of B6 and SKH1 Nude mouse abdominal skin using the proposed MS‐LS‐PAM system. ABSTRACT We present a single pump‐source, multispectral laser‐scanning photoacoustic microscopy (MS‐LS‐PAM) platform ...
Amir Khansari +6 more
wiley +1 more source
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.Rumor propagation significantly impacts both individual well‐being and societal stability, with various factors influencing its spread. While existing research has primarily focused on the role of interpersonal familiarity in rumor diffusion, this study introduces a different perspective: an individual’s familiarity with the subject matter itself plays
Weijun Yan, Yuhan Hu, Mengxin Chen
wiley +1 more source
Decrypting cancer's spatial code: from single cells to tissue niches
Molecular Oncology, Volume 19, Issue 12, Page 3465-3485, December 2025.Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik +4 more
wiley +1 more source
Spikes for the gierer-meinhardt system with many segments of different diffusivities [PDF]
, 2008 We rigorously prove results on spiky patterns for the Gierer-Meinhardt system with a large number of jump discontinuities in the diffusion coefficient of the inhibitor.
Tse, W, Wei, J, Winter, M
core +2 more sources