Pruettha Aruvornlop, Sekkarin Ploypetch, Walasinee Sakcamduang
et al.
Feline mammary carcinoma (FMC) is the most prevalent reproductive tumor in queens and is characterized by aggressive metastatic progression and short survival. Protein phosphorylation is a crucial process in cell regulation, with dysregulation linked to cancer progression, including human breast cancer. Although phosphoproteins have emerged as diagnostic and predictive markers in human breast cancer, knowledge remains limited on their role in FMC. In this study, the phosphoproteomic profiles of specimens for FMC grades 1 (n = 6), grade 2 (n = 11), grade 3 (n = 14), and normal controls (n = 6) were compared by phosphoprotein enrichment coupled with liquid chromatography–tandem mass spectrometry. Seventeen downregulated phosphoproteins were identified across all FMC grades, many of which have established roles in human breast cancer pathogenesis and prognosis. Serine/threonine–protein phosphatase was identified as a potential growth promoter and therapeutic target, while acid phosphatase, prostate, and ribonuclease L were identified as tumor suppressors. Furthermore, the ABC-type glutathione-S-conjugate transporter was associated with multidrug resistance. Protein kinase AMP-activated noncatalytic subunit gamma 3 was associated with increased breast cancer risk. In this study, it was also found to be associated with Ki-67 expression in FMC (p = 0.03). These phosphoproteins interacted with various proteins, immune checkpoint molecules, and chemotherapy drugs associated with mammary cancer in both human and feline species. Furthermore, proteins, such as butyrophilin subfamily 1 member A1, keratin, type I cytoskeletal 10, HECT domain E3 ubiquitin protein ligase 3, nuclear receptor binding SET domain protein 3, and stomatin-like 2, were identified and implicated in cancer progression and prognosis. This study is the first phosphoproteomic investigation of FMC, highlighting the interactions of relevant phosphoproteins with other proteins and chemotherapy drugs associated with both feline and human mammary cancers. The findings provide valuable insights for the identification of diagnostic and prognostic biomarkers and potential therapeutic targets in cats with mammary carcinoma.
We propose a novel framework for analyzing the geometric structure of horseshoes arising in three- and four-dimensional Hénon-type maps by introducing paperfolding structures as geometric templates. These structures capture the folding and stacking mechanisms characteristic of high-dimensional chaotic dynamics, offering a combinatorial and visual language to describe complex horseshoe formations. By systematically relating iterated paperfolding patterns to the observed geometries in multidimensional maps, our approach provides a concrete method for visualizing and classifying the topological features of chaotic sets in dimensions higher than two. This framework offers new insight into the organization of chaos in higher-dimensional discrete dynamical systems.
As a continuation of a previous paper (arXiv:2303.05769 [nlin.CD]), we introduce examples of H\'enon-type mappings that exhibit new horseshoe topologies in three and four dimensional spaces that are otherwise impossible in two dimensions.
As a continuation of a previous paper (arXiv:2303.05769 [nlin.CD]), we introduce examples of Hénon-type mappings that exhibit new horseshoe topologies in three and four dimensional spaces that are otherwise impossible in two dimensions.
AbstractIderivedamethodforcalculatingtheapproximatefractaldimension(D)fromasetofN valuesy sampledfromawaveformbetweentimezeroandt max withsamplinginterval. Thewaveformwassubjectedtoadoublelineartransformationthatmapsitintoaunitsquare. Thenormalizedabscissaofthesquareisx *i andthenormalizedordinateisy *i ,bothofthemdefinedasx *i =x i x max y *i =y i y min y max y min wherex max isthemaximumx i andy min andy max aretheminimumandmaximumy i . Thefractaldimensionofthewaveform( )isthenapproximatedbyD as ˇ D= 1 +ln(L)ln(2 N')whereL isthelengthofthecurveintheunitsquareandN 0 = N 1. * ThisworkwasoriginallypublishedinComplexityInternational,anon-linejournal. Sinceitspublication,thejournalbecameinactive, andseveralsymbolsbecamecorruptedon-line. AccordingtoComplexityInternational, theauthorisalwaystheownerofthearticle’scopyrightaslongastheidentificationofComplexityInternationalappearsinthecopies.SeveraltyposarecorrectedinthisversionuploadedtoarXiv. ** Email: csevcik@ivic.gob.ve 1 arXiv:1003.5266v1 [nlin.CD] 27 Mar 2010
In this work I present a detailed description of the simplest nonlinear model for an optical wavelength paramagnetic phaser, which is an acoustic analog of the class-B lasers. Despite of its simplicity, this model gives a satisfactory explanation of experimental data for optical-wavelength paramagnetic phasers based on high-quality acoustic Fabry-Perot resonators. In particular, this model was successfully used both for qualitative and quantitative interpretation of deterministic chaotic motions observed in spin-phonon system of a nonautonomous ruby phasers at liquid helium temperatures (see arXiv:0704.0123v1 [nlin.CD]).
Charalampos Skokos, Charalampos Skokos, C. Antonopoulos
et al.
The ability of the Smaller Alignment Index (SALI) to distinguish chaotic from ordered motion, has been demonstrated recently in several publications. [Ch. Skokos, J. of Phys. A 34 (2001), 10029. Ch. Skokos, Ch. Antonopoulos, T. C. Bountis and M. N. Vrahatis, in Proceedings of the 4th GRACM Congress on Computational Mechanics, ed. D. T. Tsahalis (Univ. Patras, Patras, 2002). Vol. IV, p. 1496; in Libration Point Orbits and Applications, ed. G. GOmez, M. W. Lo and J. J. Masdemont (World Scientific, 2003), in press. nlin.CD/0210053.] Basically it is observed that in chaotic regions the SALI goes to zero very rapidly, while it fluctuates around a nonzero value in ordered regions. In this paper, we make a first step forward explaining these results by studying in detail the evolution of small deviations from regular orbits lying on the invariant tori of an integrable 2D Hamiltonian system. We show that, in general, any two initial deviation vectors will eventually fall on the "tangent space" of the torus, pointing in different directions due to the different dynamics of the 2 integrals of motion, which means that the SALI (or the smaller angle between these vectors) will oscillate away from zero for all time.
The aim of this work is to understand the influence of chaotic states in control problems involving strong fields. Towards this end, we numerically construct and study the strong field control landscape of a bichromatically driven double well. A novel measure based on correlating the overlap intensities between Floquet states and an initial phase space coherent state with the parametric motion of the quasienergies is used to construct and interpret the landscape features. "Walls" of no control, robust under variations of the relative phase between the fields, are seen on the control landscape and associated with multilevel interactions involving chaotic Floquet states.
A simple model accounting for the ejection of heavy particles from the vortical structures of a turbulent flow is introduced. This model involves a space and time discretization of the dynamics and depends on only two parameters: the fraction of space-time occupied by rotating structures of the carrier flow and the rate at which particles are ejected from them. The latter can be heuristically related to the response time of the particles and hence measure their inertia. It is shown that such a model reproduces qualitatively most aspects of the spatial distribution of heavy particles transported by realistic flows. In particular the probability density function of the mass $m$ in a cell displays an power-law behavior at small values and decreases faster than exponentially at large values. The dependence of the exponent of the first tail upon the parameters of the dynamics is explicitly derived for the model. The right tail is shown to decrease as $\exp (-C m \log m)$. Finally, the distribution of mass averaged over several cells is shown to obey rescaling properties as a function of the coarse-grain size and of the ejection rate of the particles. Contrarily to what has been observed in direct numerical simulations of turbulent flows (Bec et al., http://arxiv.org/nlin.CD/0608045), such rescaling properties are only due in the model to the mass dynamics of the particles and do not involve any scaling properties in the spatial structure of the carrier flow.
En: Proceedings of the 2001 ISSAOS School, Eds. G. Boffetta, G. Lacorata, G. Visconti, A. Vulpiani.-- 41 pages, 8 figures.-- ArXiv pre-print: http://arxiv.org/abs/nlin.CD/0205009