Inverse scattering solution of the weak noise theory of the Kardar-Parisi-Zhang equation with flat and Brownian initial conditions [PDF]
, 2021 We present the solution of the weak noise theory (WNT) for the Kardar-Parisi-Zhang equation in one dimension at short time for flat initial condition (IC). The non-linear hydrodynamic equations of the WNT are solved analytically through a connexion to the Zakharov-Shabat (ZS) system using its classical integrability.
arxiv +1 more source
A Daple-Akt feed-forward loop enhances noncanonical Wnt signals by compartmentalizing β-catenin. [PDF]
, 2017 Cellular proliferation is antagonistically regulated by canonical and noncanonical Wnt signals; their dysbalance triggers cancers. We previously showed that a multimodular signal transducer, Daple, enhances PI3-K→Akt signals within the noncanonical Wnt ...
Aznar, Nicolas +5 more
core +2 more sources
Evaluating the Role of Wnt Signal Transduction in Promoting the Development of the Heart
The Scientific World Journal, 2007 Wnts are a family of secreted signaling proteins that are encoded by 19 distinct genes in the vertebrate genome. These molecules initiate several signal transduction pathways: the canonical Wnt, Wnt/Ca2+, and Wnt/planar cell polarity pathways.
Leonard M. Eisenberg, Carol A. Eisenberg
doaj +1 more source
Frizzled-8 integrates Wnt-11 and transforming growth factor-β signaling in prostate cancer [PDF]
, 2018 Wnt-11 promotes cancer cell migration and invasion independently of β-catenin but the receptors involved remain unknown. Here, we provide evidence that FZD8 is a major Wnt-11 receptor in prostate cancer that integrates Wnt-11 and TGF-β signals to promote
Carton, J +8 more
core +3 more sources
Chimeric Wnt proteins define the amino-terminus of Wnt-1 as a transformation-specific determinant [PDF]
Oncogene, 1999 Wnt-1 induces morphological transformation of C57MG mammary epithelial cells and accumulation of cytosolic beta-catenin whereas Wnt-5a has no effect. To identify regions within the 370 amino acid Wnt-1 protein required for these functions we tested eleven chimeric genes that contained variable amounts of Wnt-1 and Wnt-5a sequence.
Martin A. Julius +2 more
openaire +2 more sources
Frontiers in Pharmacology, 2021 The Wnt/β-catenin signaling pathway plays important roles in embryonic development and tissue homeostasis. Wnt signaling is induced, and β-catenin is activated, associated with the development and progression of renal fibrosis. Wnt/β-catenin controls the
Shan-Shan Li +8 more
doaj +1 more source
Reaction-diffusion models for morphological patterning of hESCs [PDF]
arXiv, 2021 In this paper we consider mathematical modeling of the dynamics of self-organized patterning of spatially confined human embryonic stem cells (hESCs) treated with BMP4 (gastruloids) described in recent experimental works. In the first part of the paper we use the activator-inhibitor equations of Gierer and Meinhardt to identify 3 reaction-diffusion ...
arxiv
Deletion of Porcn in mice leads to multiple developmental defects and models human focal dermal hypoplasia (Goltz syndrome). [PDF]
PLoS ONE, 2012 Focal Dermal Hypoplasia (FDH) is a genetic disorder characterized by developmental defects in skin, skeleton and ectodermal appendages. FDH is caused by dominant loss-of-function mutations in X-linked PORCN.
Wei Liu +7 more
doaj +1 more source
An inversion in the wiring of an intercellular signal: evolution of Wnt signaling in the nematode vulva [PDF]
BioEssays 27 (2005) 765-769, 2005 Signal transduction pathways are largely conserved throughout the animal kingdom. The repertoire of pathways is limited and each pathway is used in different intercellular signaling events during the development of a given animal. For example, Wnt signaling is recruited, sometimes redundantly with other molecular pathways, in four cell specification ...
arxiv +1 more source
Planar cell polarity genes Frizzled3a, Vangl2, and Scribble are required for spinal commissural axon guidance [PDF]
, 2016 Background A fundamental feature of early nervous system development is the guidance of axonal projections to their targets in order to assemble neural circuits that control behavior.
Purdy, Ashley M. +2 more
core +2 more sources