Triad resonance for internal waves in a uniformly stratified fluid: Rogue waves and breathers.

Three-wave (triad) resonance in a uniformly stratified fluid is investigated as a case study of energy transfer among oscillatory modes. The existence of a degenerate triad is demonstrated explicitly, where two components have identical group velocity. An illuminating example is a resonance involving waves from modes 1, 3, 5 families, but many other combinations are possible. The physical applications and nonlinear dynamics of rogue waves derived analytically in the literature are examined. Exact solutions with four free parameters (two related to the amplitudes of the background plane waves, two related to the frequencies of slowly varying envelopes) describe motions localized in both space and time. The differences between rogue waves of the degenerate versus the nondegenerate cases are highlighted. The phase and profile of the degenerate case rogue waves are correlated. The volume or energy of the rogue wave (defined as the total extent or energy contents of the fluid set in motion for the duration of the rogue wave) may change drastically, if the wave envelope parameters vary. Pulsating modes (breathers) have been studied previously by layered-fluid and modified Korteweg-de Vries models. Here we extend the consideration to stratified fluids but for the simpler case of nondegenerate triads. Instabilities of fission and fusion of breathers are confirmed computationally with Floquet analysis. This knowledge should prove useful for energy transfer processes in the oceans.

Robustness and stability of doubly periodic patterns of the focusing nonlinear Schrödinger equation.

The nonlinear Schrödinger equation possesses doubly periodic solutions expressible in terms of the Jacobi elliptic functions. Such solutions can be realized through doubly periodic patterns observed in experiments in fluid mechanics and optics. Stability and robustness of these doubly periodic wave profiles in the focusing regime are studied computationally by using two approaches. First, linear stability is considered by Floquet theory. Growth will occur if the eigenvalues of the monodromy matrix are of a modulus larger than unity. This is verified by numerical simulations with input patterns of different periods. Initial patterns associated with larger eigenvalues will disintegrate faster due to instability. Second, formation of these doubly periodic patterns from a tranquil background is scrutinized. Doubly periodic profiles are generated by perturbing a continuous wave with one Fourier mode, with or without the additional presence of random noise. Effects of varying phase difference, perturbation amplitude, and randomness are studied. Varying the phase angle has a dramatic influence. Periodic patterns will only emerge if the perturbation amplitude is not too weak. The growth of higher-order harmonics, as well as the formation of breathers and repeating patterns, serve as a manifestation of the classical problem of Fermi-Pasta-Ulam-Tsingou recurrence.

Fermi-Pasta-Ulam-Tsingou recurrence and cascading mechanism for resonant three-wave interactions.

Evolution of resonant three-wave interaction is governed by quadratic nonlinearities. While propagating localized modes and inverse scattering mechanisms have been studied, transient states such as rogue waves and breathers are not fully understood. Modulation instability modes can trigger growth of disturbances and the eventual development of breathers. Here we study computationally the dynamics beyond the first formation of breathers, and demonstrate repeating patterns of breathers as a manifestation of the Fermi-Pasta-Ulam-Tsingou recurrence (FPUT). While nonlinearity governs the actual dynamics, the range of wave numbers for modulation instability remains a useful indicator. Depending on the stability characteristics of the fundamental mode and the higher-order harmonics ("sidebands"), "regular" and "staggered" FPUT patterns can arise. A "cascading mechanism" provides analytical verification, as the fundamental and sideband modes attain the same magnitude at one particular instant, signifying the first occurrence of a breather. A triangular spectrum is also computed, similar to experimental observations of optical pulses. Such spectra can elucidate the spreading of energy among the sidebands and components of the triad resonance. The concept of "effective energy" is examined and the eigenvalues of the inverse scattering mechanism are computed. Both approaches are utilized to correlate with the occurrence of regular or staggered FPUT. These numerical and analytical studies can enhance our understanding of wave interactions in fluid mechanics and optics.

[Cheng Lin and his life].

Cheng Lin, a famous doctor in the late Ming and early Qing Dynasties, had a great reputation with his medical achievements. According to the prefaces and postscripts in a variety of books and local records, he was born earlier than 1616 and died later than 1700 in Huaitang in She Xian. He learned medicine from his uncle Cheng Jingtong when he was young. After that, he learned from the famous doctor Yu Chang. He visited Kaifeng, Hangzhou, Suzhou and Yangzhou, and made friends with many then celebrities, such as Zhou Lianggong, Lin Sihuan and You Tong. He left many medical writings, such as Yi Xia Zhi Yan, Jin Gui Yao Lue Zhi Jie and Sheng Ji Zong Lu Zuan Yao. He was also good at painting and seal cutting. His family, the Cheng's, in Huaitang in Xin'an, had many off-springs who became famous doctors, such as Cheng Jin, Cheng Jie, Cheng Yandao, and Cheng Yingmao, with their medical history continuing up to the present day.

Four-wave mixing and coherently coupled Schrödinger equations: Cascading processes and Fermi-Pasta-Ulam-Tsingou recurrence.

Modulation instability, breather formation, and the Fermi-Pasta-Ulam-Tsingou recurrence (FPUT) phenomena are studied in this article. Physically, such nonlinear systems arise when the medium is slightly anisotropic, e.g., optical fibers with weak birefringence where the slowly varying pulse envelopes are governed by these coherently coupled Schrödinger equations. The Darboux transformation is used to calculate a class of breathers where the carrier envelope depends on the transverse coordinate of the Schrödinger equations. A "cascading mechanism" is utilized to elucidate the initial stages of FPUT. More precisely, higher order nonlinear terms that are exponentially small initially can grow rapidly. A breather is formed when the linear mode and higher order ones attain roughly the same magnitude. The conditions for generating various breathers and connections with modulation instability are elucidated. The growth phase then subsides and the cycle is repeated, leading to FPUT. Unequal initial conditions for the two waveguides produce symmetry breaking, with "eye-shaped" breathers in one waveguide and "four-petal" modes in the other. An analytical formula for the time or distance of breather formation for a two-waveguide system is proposed, based on the disturbance amplitude and instability growth rate. Excellent agreement with numerical simulations is achieved. Furthermore, the roles of modulation instability for FPUT are elucidated with illustrative case studies. In particular, depending on whether the second harmonic falls within the unstable band, FPUT patterns with one single or two distinct wavelength(s) are observed. For applications to temporal optical waveguides, the present formulation can predict the distance along a weakly birefringent fiber needed to observe FPUT.

[Research of SIRT1 on promoting the proliferation, migration and lipid metabolism of nasopharyngeal carcinoma].

Objective: To analyze the differential expression of silent information regulator transcript-1 (SIRT1) in tissues and cells of nasopharyngeal carcinoma (NPC), to explore the effects of SIRT1 on the proliferation and migration of NPC cells, as well as the effects on and mechanisms of lipid metabolism in NPC cells. Methods: Experimental subjects: In this study, tissue specimens were obtained from patients who visited the Department of Otolaryngology and performed nasopharyngeal tissue biopsy in the Affiliated Hospital of Nantong University from 2019 to 2020. Among them, 6 cases were male, 6 cases were female, age range: 27-72 years old, including 7 cases of NPC diagnosed by pathology and 5 cases of normal nasopharyngeal mucosa. Experimental methods and outcome measures: Western Blot and quantitative real time polymerase chain reaction (qRT-PCR) were used to detect the protein and mRNA levels of SIRT1. CNE2 cell line was selected for subsequent experiments. Cell viability and migratory ability were evaluated by CCK8, wound healing and Transwell assays respectively. Animal xenograft tumor model was used to explore the role of SIRT1 inhibitor Ex527 on tumor growth in nude mice. Oil red and Bodipy were used to stain intracellular lipids. For the mechanical investigation, the interactions between SIRT1 and hypoxia inducible factor-1α (HIF-1α) were analyzed by immunoprecipitation (IP) and chromatin immunoprecipitation (ChIP). Finally, statistical analysis was performed by SPSS 26.0 software, P<0.05 was considered statistically significant. Results: The levels of SIRT1 protein (1.005±0.168) and mRNA (5.829±2.395) in NPC tissues were higher than those in normal nasopharyngeal mucosa (0.181±0.042,1.995±1.605). Differences were statistically significant (t values were 6.438 and 2.759, both P<0.05). The mRNA and protein levels of CNE1, CNE2, 5-8F and 6-10B cell lines were also higher than those in normal nasopharynx epithelial cell line NP69. Besides, overexpression of SIRT1 correlated with the proliferation and migration of NPC cells. The tumorigenesis ability of nude mice in the Ex527 group was lower than that in the control group. The low SIRT1 expression reduced the protein level of the key enzymes of liposynthesis in NPC cells, improved the expression of lipolysis enzymes, while HIF-1α overexpression promoted lipid synthesis enzymes in NPC cells. SIRT1 inhibited HIF-1α transcription by enhancing deacetylation levels. The binding ability of HIF-1α to SIRT1 promoter regions decreased when NPC cells were hypoxic. Conclusions: SIRT1 promotes the proliferation, migration and lipid metabolism of nasopharyngeal carcinoma cells, which might be expected to provide new theoretical basis for prognosis judgment and gene therapy.

[Primary study on the mechanism of ductus arteriosus closure in rats: impact of aging pathway].

Objective: To explore the role and mechanism of aging pathway in patent ductus arteriosus closure of rats. Methods: Thirty outbreeding Sprague Dawley rats(20 females, 10-15 weeks old, 270-330 g) underwent random mating and conception. The primary Ductus Arteriosus smooth muscle cells (DASMCs) of pregnant 19 days(E19 group), 21 days(E21 group) and newborn(Day0 group) fetus were extracted and cultured. mRNA expression of cell senescence related markers p16, 21 and 53 genes in each group were detected by real-time fluorescent quantitative PCR(RT-PCR) after 48 hours culture. After hypoxic culture on DASMCs for 3 days, the DASMCs were divided into 3 groups: hypoxic control group(G0 group), 3 hours normal oxygen concentration treatment group(G3 group) and 6 hours normal oxygen concentration treatment group(G6 group). After intervention, mRNA expression of p16, 21 and 53 RT-PCR was detected. The DASMCs of newborn rats(Day0 group) were extracted and divided into 3 groups:low-oxygen culture control group, low-oxygen+siRNA culture group and normal oxygen concentration culture group. The DASMCs migration ability was tested experimentally by Transwell method. Result: The mRNA levels of p16, 21 and 53 in DASMCs were higher in E19 group than in Day0 group(all P<0.01), and the mRNA levels of p16, 21 and 53 in DASMCs were also higher in E21 group than those in Day0 group (all P<0.01). The mRNA levels of p16, 21 and 53 in DASMC were all higher in G0 group than those in G3 group (P<0.05 or 0.01), and the mRNA levels of p16, 21 and 53 in DASMCs were all higher in G0 group than those in G6 group (all P<0.01), and the mRNA levels of p16, 21 and 53 in DASMCs were all higher in G3 group than those in G6 group (all P<0.05). DASMCs migration ability of newborn rats was higher in normal oxygen concentration culture group than that in low-oxygen culture group (P<0.01), and DASMCs migration ability of newborn rats was also higher in low-oxygen+siRNA culture group than that in low-oxygen culture group (P<0.01). Conclusion: The expression of senescence marker of DASMCs decreases with the birth in rats during the process of ductal closure, and the aging pathway may affect ductal closure by inhibiting DASMCs migration in rats.

Transforming growth factor-ß1 regulates the nascent hematopoietic stem cell niche by promoting gluconeogenesis.

The understanding of hematopoietic stem cell (HSC) emergence is important to generate HSCs from pluripotent precursors. However, integrated signaling network that regulates the niche of nascent HSCs remains unclear. Herein, we uncovered a novel role of TGF-ß1 in the metabolic niche of HSC emergence using the tgf-ß1b-/- zebrafish. Our findings first showed that Tgf-ß1 transcripts were enriched in the nascent HSCs. Loss of tgf-ß1b caused a decrease of nascent HSCs within the aorta-gonad-mesonephros. Moreover, tgf-ß1b+ cells were runx1+ HSCs and underwent an endothelial-to-hematopoietic-transition process. Although the autocrine of Tgf-ß1 in HSCs rather than endothelial cells was highly demanded to regulate HSC generation, we found that tgf-ß1b promoted HSC emergence through the endothelial c-Jun N-terminal kinase/c-Jun signaling. Chromatin immunoprecipitation (ChIP)-sequencing data showed that tgf-ß1b/c-Jun targeted g6pc3 of FoxO signaling to promote gluconeogenesis and maintain a high glucose level in the niche. Furthermore, loss of tgf-ß1b increased the endoplasmic-reticulum stress and oxidative stress by disturbing metabolic homeostasis. Adding a low dose of TGF-ß1 protein could promote the differentiation of mouse embryonic stem cells towards HSCs in vitro. Altogether, our study provided insights into a new feature of TGF-ß1 in the regulation of glucose metabolism and nascent HSC niche, which may contribute to therapies of hematological malignancies.

[Evaluating the electrophysiological features of tremor in Parkinson's disease and essential tremor using accelerometry].

Objective: To investigate the electrophysiological features of tremor intensity, frequency and frequency dispersion of Parkinsonian (PT group) and essential (ET group) tremors using accelerometry. Methods: The amplitude, frequency and frequency dispersion of rest tremor, postural tremor and the influence of weight on tremor of 35 PT patients and 40 ET patients in Department of Neurology, the Second Affiliated Hospital Zhejiang University School of Medicine from May 2015 to April 2016 were retrospectively analyzed and compared. Data of the more and less trembling hands were statistically elaborated. Results: In resting, postural and loading states, PT amplitudes of the less affected hand were smaller than the more affected one. The less affected hand were (147±32), (142±36), (157±40)µV, the more affected hand were (185±41), (164±29), (190±33)µV, respectively; ET amplitudes of the less affected hand were also smaller than the more affected one, and the less affected hand were (149±33), (157±33), (169±43)µV, the more affected hand were (176±39), (189±39), (213±36)µV, respectively; PT frequencies of the less affected hand were faster than the more affected one, with the less affected hand (6.1±1.1), (6.4±1.7), (6.5±2.0)Hz, the more affected hand (5.4±1.3), (5.5±1.1), (5.7±1.1)Hz, respectively, but ET frequencies of the less affected hand were similar to the more affected one, with the less affected hand (6.5±1.3), (7.0±1.2), (7.2±1.5)Hz, the more affected hand (7.0±1.0), (7.3±1.0), (7.6±1.1)Hz, respectively; in resting and postural states, PT frequency dispersions of the less affected hand were broader than the more affected one, the less affected hand were (2.1±0.6), (2.4±1.1)Hz, respectively; the more affected hand were (1.6±0.8), (1.7±0.9)Hz, respectively. But in loading state, PT frequency dispersions were similar in both sides (2.3±1.2, 2.2±1.1)Hz; In resting, postural and loading states, ET frequency dispersions were also similar in both two sides, the less affected hand were (2.0±1.1), (2.2±0.9), (1.9±1.0)Hz, the more affected hand were (1.8±0.6), (1.9±0.8), (2.1±0.7)Hz. Conclusions: Tremor intensity is significantly asymmetric both in PT and ET, while frequency and frequency dispersion are symmetric in ET but asymmetric in PT. Bilateral assessment of frequency related tremor parameters may be useful for differentiating ET from PT.

Boundary effect on the elastic field of a semi-infinite solid containing inhomogeneities.

The boundary effect of one inhomogeneity embedded in a semi-infinite solid at different depths has firstly been investigated using the fundamental solution for Mindlin's problem. Expanding the eigenstrain in a polynomial form and using the Eshelby's equivalent inclusion method, one can calculate the eigenstrain and thus obtain the elastic field. When the inhomogeneity is far from the boundary, the solution recovers Eshelby's solution. The method has been extended to a many-particle system in a semi-infinite solid, which is first demonstrated by the cases of two spheres. The comparison of the asymptotic form solution with the finite-element results shows the accuracy and capability of this method. The solution has been used to illustrate the boundary effects on its effective material behaviour of a semi-infinite simple cubic lattice particulate composite. The local field of a semi-infinite composite has been calculated at different volume fractions. A representative unit cell has been taken with different depths to the surface. The average stress and strain of the unit cell have been calculated under uniform loading conditions of normal or shear force on the surface, respectively. The effective elastic moduli of the unit cell not only depend on the material proportion, but also on its distance to the surface. The present model can be extended to other types of particle distribution and ellipsoidal particles.

Tranexamic acid and blood loss during and after cesarean section: a meta-analysis.

OBJECTIVE: A meta-analysis of randomized controlled trials (RCTs) was conducted to evaluate whether tranexamic acid (TXA) could significantly reduce blood loss during and after cesarean section (CS) when compared with no TXA. STUDY DESIGN: MEDLINE (PubMed), EMBASE, Cochrane Central Register of Controlled Trials and Web of Science were searched to identify RCTs that compared intravenous TXA with no TXA before CS for blood loss. The related data were extracted by two independent authors. The fixed or random-effect methods were used to combine data. RESULT: Eleven RCTs were included in this analysis with a total of 1276 women in TXA group and 1255 in no TXA (control) group. Total blood loss during and after CS was significantly less in TXA group than in control group (mean difference (MD) -141.61 ml, 95% confidence interval (CI) -207.09 to -76.14, P<0.01). There was a significant reduction in intraoperative and postpartum blood loss in TXA group as compared with control group (MD -143.36 ml, 95% CI -220.38 to -66.35, P<0.01; and MD -38.20 ml, 95% CI -59.27 to -17.12, P<0.01, respectively). Declines in hemoglobin and hematocrit values after CS were both significantly less in TXA group than in control group. The difference of postpartum hemorrhage rate was statistically significant between groups (risk ratio (RR) 0.57, 95% CI 0.37 to 0.89, P=0.01). The need for blood transfusion was significantly less in TXA group than control group (RR 0.23, 95% CI 0.10 to 0.57, P<0.01). CONCLUSION: Our results demonstrate that TXA offers an advantage over no TXA in reducing blood loss during and after CS.

Effects of perinatal hypothyroidism on rat behavior and its relation with apoptosis of hippocampus neurons.

Thyroid hormone is an important factor for proper development of the mammalian brain. Perinatal hypothyroidism leads to long-term behavior and neuromotor competence alterations in humans and animals. Our study aimed to investigate the effects of perinatal hypothyroidism on behavior changes of rat pups and its relation with the apoptosis of hippocampus neurons. Behavior tests were taken to evaluate the effects caused by perinatal hypothyroidism. TUNEL staining was used to analyze the apoptosis of neurons on CA3 region of hippocampus. The study suggested that perinatal hypothyroidism affects behavior development, as well as leading to the decrease in spatial learning and memory capability. This condition can be improved with hormone substitute treatment. Furthermore, the changes of learning and memory capability are closely related to the increasing number of apoptotic neurons in the hippocampus.

Signatures of H2CO photodissociation from two electronic states.

Even in small molecules, the influence of electronic state on rotational and vibrational product energies is not well understood. Here, we use experiments and theory to address this issue in photodissociation of formaldehyde, H2CO, to the radical products H + HCO. These products result from dissociation from the singlet ground electronic state or the first excited triplet state (T1) of H2CO. Fluorescence spectra reveal a sudden decrease in the HCO rotational energy with increasing photolysis energy accompanied by substantial HCO vibrational excitation. Calculations of the rotational distribution using an ab initio potential energy surface for the T1 state are in very good agreement with experiment and strongly support dominance of the T1 state in the dynamics at the higher photolysis energies.

Modeling of elastic modulus evolution of cirrhotic human liver.

A micromechanics-based composite model is developed for the elastic behavior and its modulus evolution of cirrhotic human liver correlated with different pathological stages. Microstructurally, the cirrhotic liver is hypothesized to be pathologically elastic nodules embedded in the soft tissue matrix whose hyperelastic behavior is controlled by the Veronda-Westmann model. Under finite deformation, the total strain energy of the liver is collected through the combination of that in nodule particles and that in the tissue matrix. The overall constitutive relation of the pathological liver can further be established through the nonlinear hyperelasticity theory. Predictions of the elastic modulus and its pathological evolution are compared with available experimental data.

ImageParser: a tool for finite element generation from three-dimensional medical images.

BACKGROUND: The finite element method (FEM) is a powerful mathematical tool to simulate and visualize the mechanical deformation of tissues and organs during medical examinations or interventions. It is yet a challenge to build up an FEM mesh directly from a volumetric image partially because the regions (or structures) of interest (ROIs) may be irregular and fuzzy. METHODS: A software package, ImageParser, is developed to generate an FEM mesh from 3-D tomographic medical images. This software uses a semi-automatic method to detect ROIs from the context of image including neighboring tissues and organs, completes segmentation of different tissues, and meshes the organ into elements. RESULTS: The ImageParser is shown to build up an FEM model for simulating the mechanical responses of the breast based on 3-D CT images. The breast is compressed by two plate paddles under an overall displacement as large as 20% of the initial distance between the paddles. The strain and tangential Young's modulus distributions are specified for the biomechanical analysis of breast tissues. CONCLUSION: The ImageParser can successfully exact the geometry of ROIs from a complex medical image and generate the FEM mesh with customer-defined segmentation information.

Differential influences of different stressors upon midbrain raphe neurons in rats.

Various types of stressors were given to different groups of animals to examine their effects on the mesostriatal and mesolimbic serotonergic pathways. Results indicate that shock-induced fighting experience preferentially decreased serotonin (5-HT) levels in the dorsal raphe and striatum, while air puff stimulation selectively lowered 5-HT and 5-hydroxyindoleacetic acid (5-HIAA) contents in the median raphe and hippocampus. Both immobilization and light footshock stress have a more consistent effect on both serotonergic systems. These results suggest that different stressors have differential influences upon central 5-HT neurons and, other than anatomical differentiation, these serotonergic neurons are not homogeneous with respect to their responses to stress either.