Yanan Wang

• Fudan University

Background Effective osseointegration is a crucial factor for the success of implant restoration, and hyperlipidemia significantly impairs osseointegration. However, the underlying in vivo mechanisms remain unclear. This study aimed to investigate the impact and molecular mechanisms of lipid droplet accumulation on osteogenesis-osteoclasis balance...

1,2-Difunctionalization of alkynes offers a straightforward approach to access polysubstituted alkenes. However, simultaneous multi-component cascade transformations including difunctionalization of two alkynes with both syn- and anti-selectivity in one catalyst system is undeveloped and proves to be a significant challenge. Herein, we report a Nic...

This article deals with the asynchronous event-triggered passive consensus issue for two-time-scale semi-Markov jump multiagent systems in continuous-time domain against denial-of-service (DoS) attacks. The multiagent systems are modeled with two-time-scale structures and the parameter changes are assumed to follow semi-Markov jump processes. For m...

Dysregulated T cell activation underpins the immunopathology of rheumatoid arthritis (RA), yet the machineries that orchestrate T cell effector program remain incompletely understood. Herein, we leveraged bulk and single-cell RNA sequencing data from RA patients and validated protein disulfide isomerase family A member 3 (PDIA3) as a potential ther...

Purpose To investigate the association of tumor arterial burden (TAB) on preoperative MRI with transarterial chemoembolization refractoriness (TACER) and progression-free survival (PFS) in patients with hepatocellular carcinoma (HCC). Materials and Methods This retrospective study included patients with HCC who underwent repeated transarterial chem...

A Gram-stain-negative, aerobic, rod-shaped and halotolerant bacterium, designated as strain ASW11-75 T , was isolated from intertidal sediments in Qingdao, PR China, and identified using a polyphasic taxonomic approach. Growth of strain ASW11-75 T occurred at 10–45 °C (optimum, 37 °C), pH 6.5–9.0 (optimum, pH 8.0) and 0.5–18.0 % NaCl concentrations...

We present the first polarimetric analysis of quasiperiodic oscillations (QPOs) in a black hole binary utilizing IXPE data. Our study focuses on Swift J1727.8–1613, which experienced a massive outburst that was observed by various telescopes across different wavelengths. The IXPE observation we studied was conducted during the hard-intermediate sta...

Synchronization of neural networks has found widespread applications in practice. The existing results about the event-triggered synchronization of two-time-scale neural networks/systems mainly design a common event-triggered mechanism using single -rate sampling method on different time scales, which ignores the two-time-scale characteristics...

BACKGROUND Anastomotic leakage (AL) occurs frequently after sphincter-preserving surgery for rectal cancer and has a significant mortality rate. There are many factors that influence the incidence of AL, and each patient’s unique circumstances add to this diversity. The early identification and prediction of AL after sphincter-preserving surgery ar...

In this paper, the passivity-based state estimation problem is investigated for Markov jump singularly perturbed neural networks, in which the partially known transition rate matrix and the nonlinear characteristics of sensors are considered simultaneously. By using a new inequality, a novel perturbed parameter dependent Lyapunov function is constr...

Objective To profile the serum metabolites and metabolic pathways in colorectal cancer (CRC) patients associated with spleen-deficiency and qi-stagnation syndrome (SDQSS) or damp-heat syndrome (DHS). Methods From May 2020 to January 2021, CRC patients diagnosed with traditional Chinese medicine (TCM) syndromes of SDQSS or DHS were enrolled. The cl...

Obstructive jaundice (OJ) is a common problem in daily clinical practice. However, completely understanding the pathophysiological changes in OJ remains a challenge for planning current and future management. The effects of OJ are widespread, affecting the biliary tree, hepatic cells, liver function, and causing systemic complications. The lack of...

Carbon materials have great potential in achieving excellent potassium-ion batteries (PIBs), while the low theoretical capacity of carbon materials limits the application of potassium ion batteries. Here, we reported an amorphous porous carbon with rich N-S bonds (N-S/C) by simple self-assembly possess and pyrolysis possess. The prepared N-S/C mate...

In this article we develop an analogue of Aubry-Mather theory for time periodic dissipative equation x˙=∂pH(x,p,t),p˙=-∂xH(x,p,t)-f(t)p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \be...

Transition-metal-catalyzed transformation reactions of epoxides can provide practical C2 synthons in synthetic chemistry. These reactions offer a feasible strategy for catalyst-controlled epoxide divergent transformations. Therefore, finding out the crucial factors controlling chemoselectivity is the key to the rational design of transition-metal-c...

Two moderately halotolerant bacterium strains, designated PJ-16T and PJ-38, were isolated from a tidal flat of the red beach in Panjin City, Liaoning Province, PR China. Cells were found to be Gram-stain-negative, aerobic, motile, rod-shaped with a single polar flagellum. Optimum growth of strain PJ-16T occurred at 30 °C, pH 7.0 and 0.2-8.0 % (w/v)...

A aerobic, gram-negative, rod-shaped and polar-flagellum bacterial strain, designated as FYR11-62T, was isolated from the estuary of the Fenhe River into the Yellow River in Shanxi Province, China. The isolate was able to grow at 4–37 °C (optimum, 25 °C), pH 5.5–9.5 (optimum, pH 7.5) and in the presence of 0–7.0% (w/v) NaCl (optimum, 1.0% NaCl). Ph...

A novel species of the genus Limimaricola, designated ASW11-118T, was isolated from an intertidal sand sample of the Yellow Sea, PR China. Growth of strain ASW11-118T occurred at 10-40 °C (optimum, 28 °C), pH 5.5-8.5 (optimum, pH 7.5) and with 0.5-8.0 % (w/v) NaCl (optimum, 1.5%). Strain ASW11-118T has the highest 16S rRNA gene sequence similarity...

Comprehensive Summary In this study, 27 new sesquiterpenoids: twenty monomers and seven dimers, with diverse structures, along with one known chlorajaponilide F (25) were isolated from the aerial parts of Chloranthus henryi var. hupehensis. Structurally, chlorahupetolides A (1) and B (2), two eudesmane‐type merosesquiterpenoids with an undescribed...

Objective The objective of this research is to investigate the clinical application value of cerebrospinal fluid (CSF) cytology and circulating tumor DNA (ctDNA) in lung adenocarcinoma (LUAD) meningeal metastasis-meningeal carcinomatosis (MC), and to further explore the possible molecular mechanisms and drug treatment targets of LUAD meningeal meta...

Apolipoprotein E (ApoE), a protein closely related to various metabolic diseases, is recently considered to play an essential role in bone metabolism. However, the effect and mechanism of ApoE on implant osseointegration have not been clarified. This study aims to investigate the influence of additional ApoE supplementation in regulating the osteog...

Background Periodontal ligament stem cells (PDLSCs) are important seed cells for tissue engineering to realize the regeneration of alveolar bone. Understanding the gene regulatory mechanisms of osteogenic lineage differentiation in PDLSCs will facilitate PDLSC-based bone regeneration. However, these regulatory molecular signals have not been clarif...

Background: Hsa_circ_0072309 has been identified as a tumor suppressor in several carcinomas. However, its precise role in gastric cancer (GC) remains largely unknown. This study was aimed to explore the precise role of Hsa_circ_0072309 in GC. Methods: The transcriptional and clinical data of stomach adenocarcinoma were downloaded using the Univ...

Background: Cyclic RNA (circRNA) has been proved to be an important regulator of gastric cancer (GC). However, the role and regulatory mechanism of circrna related competitive endogenous RNA (ceRNA) in GC have not been established. Methods: CircRNA data and clinical data were obtained from the GEO and TCGA databases. The ceRNA networks were cons...

The present study investigated the chemical constituents from the leaves of Craibiodendron yunnanense. The compounds were isolated and purified from the leaves of C. yunnanense by a combination of various chromatographic techniques including column chromatography over polyamide, silica gel, Sephadex LH-20, and reversed-phase HPLC. Their structures...

In this work, we firstly elucidated the ultra-violet light protection dynamics mechanism of the typical hemicyanines, i.e. Hemicy and DHemicy, by combining the theoretical calculation method and the transient absorption spectra. It is theoretically and experimentally demonstrated that both Hemicy and DHemicy have strong absorption in UVC (200−280 n...

Background It is known that autophagy is essential for cell survival under stress conditions. Inorganic phosphate (Pi) is an essential nutrient for cell growth and Pi-limitation can trigger autophagy and lipid accumulation in oleaginous yeasts, yet protein (de)-phosphorylation and related signaling events in response to Pi limitation and the molecu...

Background: Intestinal natural killer/T-cell lymphoma (NKTCL) is a rare and aggressive non-Hodgkin's lymphoma, and its occurrence is closely related to Epstein-Barr virus infection. In addition, the clinical symptoms of NKTCL are not obvious, and the specific pathogenesis is still uncertain. While NKTCL may occur in any segment of the intestinal t...

The role of tumor-associated macrophages (TAMs) along with the regulatory mechanisms underlying distinct macrophage activation states remain poorly understood in prostate cancer (PCa). Herein, we reported that PCa growth in macrophage-specific Ubc9 deficient mice is substantially suppressed compared to their wild-type littermates, an effect partial...

Background: Transanal total mesorectal excision (TaTME) allows patients with ultralow rectal cancer to be treated with sphincter-saving surgery. However, accurate delineation of the distal resection margin (DRM), which is essential to achieve R0 resection for low rectal cancer in TaTME, is technically demanding. Aim: To assess the feasibility of...

The Schmidt rearrangement, a reaction that enables C-C or C-H σ bond cleavage and nitrogen insertion across an aldehyde or ketone substrate, is one of the most important and widely used synthetic tools for the installation of amides and nitriles. However, such a reaction frequently requires volatile, potentially explosive, and highly toxic azide re...

Cremastra appendiculata polysaccharide (CAP) exhibits potential anti-aging and stress resistance effects. In this study, we investigated the structure, antioxidant properties, and mechanism of action of CAP in Caenorhabditis elegans. The results showed that CAP primarily comprises mannose and glucose and exerts antioxidant activity in vitro. In viv...

Suppose M is a closed Riemannian manifold. For a C2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^2$$\end{document} generic (in the sense of Mañé) Tonelli Hamiltonia...

Pyrethroid insecticides negatively affect feed conversion, reproductive fitness, and food safety in exposed animals. Although probiotics have previously been widely studied for their effect on gut health, comparatively little is known regarding the efficacy of probiotic administration in specifically reducing pesticide toxicity in mice. We demonstr...

One new taraxastane-type triterpenoid, three new grayanane-type diterpenoids (2 − 4), and 12 known compounds (5 − 16) were isolated from the leaves of Craiobiodendron yunnanens W. W. Smith. The structures of these compounds were elucidated on the basis of their spectroscopic data and chemical evidence. Compounds 1 and 8 exhibited partly anti-inflam...

Angioleiomyomas represent benign tumors that arise in vascular smooth muscle of deep dermis or subcutaneous tissue. They usually present as a single firm subcutaneous nodule in the lower extremities in 40–60-year-old women. Approximately half of angioleiomyomas are painful and can be exacerbated by pressure, change in temperature, pregnancy, or men...

Maresin1 (MaR1) is an endogenous pro-resolving lipid mediator produced from polyunsaturated fatty acids and is believed to have antioxidant and anti-inflammatory properties. The objective of this study was to estimate MaR1′s impact on type 2 diabetic osteoporosis (T2DOP) and its pharmacological mode of action. An in vitro high-glucose model of the...

Objective This paper aims to explore the relationship between the syndrome differentiation of traditional Chinese medicine (TCM) in colorectal cancer and the clinical laboratory indicators of patients, and to further seek the laboratory indicators to assist TCM syndrome differentiation. Methods From May 2020 to June 2021, 122 colorectal cancer pat...

In this paper, oxazolepyridine and coumarin units were combined to prepare cell membrane fluorescent probe (PM-A) through aldol condensation reaction. PM-A had long wavelength emission (665–739 nm), high molar extinction coefficient (around 3.14 × 10⁴ M⁻¹cm⁻¹) and large Stokes shift (150–219 nm). The photo-stability test showed that PM-A had a high...

Understanding predator–prey interactions is essential for successful pest management by using predators, especially for the suppression of novel invasive pest. The green lacewing Chrysopa formosa is a promising polyphagous predator that is widely used in the biocontrol of various pests in China, but information on the control efficiency of this pre...

A new polyketide derivative containing a 3-hydroxydecanoic acid ester moiety, penicipurate A (1), was purified from the solid cultures of the fungus Penicillium purpurogenum, a fungal strain endophytic in the leaves of Edgeworthia chrysantha. The structure of 1 was established by spectroscopic methods, including UV, IR, HRESIMS, 1D, and 2D NMR and...

The potassium‐ion battery (PIB) is regarded as a promising energy storage system to replace lithium‐ion battery, while the sluggish kinetics and large K + size resulting in inferior rate performance and poor cycle stability, struggling its extensive development. Here, a carbon coated VO 2 /V 2 O 3 nanoparticles (VO 2 /V 2 O 3 @C) was prepared by si...

Functional dyes with a chromeno[b]quinoline skeleton (3a-d) were synthesized by one-step cyclization between coumarin derivatives and aromatic amines under the promotion of anhydrous aluminum chloride in 41.2-45.8% yields. Their maximum absorption and emission wavelengths locate at 358-396 and 420-603 nm with large Stokes shifts (168-231 nm), and t...

Non-alcoholic fatty liver disease (NAFLD) is the most common chronic liver disease with no currently approved treatment. The natural compound silybin (SLN) has versatile hepatoprotective efficacy with negligible adverse effects; however, poor absorption limits its clinical applications. Gut microbiota has been proposed to play a crucial role in the...

(+)- and (-)-Chlorahupetenes A (1a and 1b), B (2a and 2b), C (3a and 3b), and D (4a and 4b), four unique enantiomeric pairs of eudesmane-type sesquiterpenoid dimers with two new carbon skeletons, were isolated from the aerial parts of Chloranthus henryi var. hupehensis. Compounds 1 and 2 possess an unprecedented 6/6/5/6/6 pentacyclic carbon skeleto...

Two new nor‐seco isodhilarane meroterpenoids (NSIMs), purpurogenolides F (1) and G (2), along with three known meroterpenoid analogs (3–5), were isolated from the cultures of an endophytic fungus, Penicillium purpurogenum. Structures and absolute configurations of the new NSIMs were determined based on extensive spectroscopic data analyses, includi...

Zeng-Sheng-Ping (ZSP) tablets, made from six Chinese herbs, are widely used in the chemoprevention and treatment of precancerous lesions in patients with gastrointestinal cancer. However, sporadic cases of liver injury have occurred. Herein, the serum metabolites in hamsters with ZSP-induced liver damage were analyzed by NMR-based metabolomics. Twe...

The mechanism of sex pheromone reception in the male cotton bollworm Helicoverpa armigera has been extensively studied because it has become an important model system for understanding insect olfaction. However, the pathways of pheromone processing from the antenna to the primary olfactory center in H. armigera have not yet been clarified. Here, th...

Improved knowledge on the regulation of reproductive diapause in Coccinella septempunctata, an important predator of aphids, is crucial for improving shelf-life and mass production of the ladybeetles. In many insects, the absence of juvenile hormone (JH) is a central regulator of reproductive diapause. JH is principally degraded by JH esterase (JHE...

M1 macrophage, characterized by the production of proinflammatory cytokines, has been reported to exert a critical role in ischemia-reperfusion (I/R)-induced acute kidney injury (AKI). Recently, increasing evidence suggests that aerobic glycolysis plays an important role in the M1 polarization of macrophages. However, the M1 polarization area still...

Background: The specific role and prognostic value of DNA repair and replication-associated miRNAs in gastric cancer (GC) have not been clearly elucidated. Therefore, comprehensive analysis of miRNAs in GC is crucial for proposing therapeutic strategies and survival prediction. Methods: Firstly, clinical information and transcriptome data of TCG...

Anterior gradient 2 (AGR2), a protein disulfide isomerase (PDI), is a multifunctional protein under physiological and pathological conditions. In this study we investigated the roles of AGR2 in regulating cholesterol biogenesis, lipid-lowering efficiency of lovastatin as well as in protection against hypercholesterolemia/statin-induced liver injury...

The fall armyworm Spodoptera frugiperda ( S. frugiperda ) (Lepidoptera: Noctuidae) is a worldwide, disruptive, agricultural pest species. The larvae of S. frugiperda feed on seedling, leave, and kernel of crops with chewing mouthparts, resulting in reduced crop yields. Serotonin is an important biogenic amine acting as a neural circuit modulator kn...

Semantic segmentation aims at assigning a category label to each pixel in an image. Deep neural networks have achieved many breakthrough research achievements on this task. Nevertheless, there exist two critical bottleneck problems to be solved. First, deep neural networks usually need to be trained on large-scale labeled datasets, which are expens...

Metabolism has been reported to associate with the progression of vascular diseases. However, how vascular calcification in chronic kidney disease (CKD) is regulated by metabolic status remains poorly understood. Using a model of 5/6 nephrectomy, we demonstrated that the aortic tissues of CKD mice had a preference for using oxidative phosphorylatio...

Two new neolignans and one new lignan (1–3) were obtained from the roots of Paeonia lactiflora. Their structures were unambiguously elucidated based on extensive spectroscopic analysis, single-crystal X-ray crystallography, and the calculated and experimental electronic circular dichroism (ECD) spectra. Compound 1 was a racemic mixture and successf...

Eight undescribed polyhydroxylated bergamotane-type sesquiterpenoids with bicyclic, tricyclic and tetracyclic systems, namely sporulamides A−D, sporulosoic acids A−B and sporuloketals A−B, along with three known analogs were isolated from cultures of the marine mud-associated fungus Paraconiothyrium sporulosum YK-03. The chemical structures of thes...

Six undescribed protoberberine derivatives including two pairs of enantiomers, named yanhusanines G-L, along with fifteen reported protoberberine alkaloids, were isolated from the tubers of Corydalis yanhusuo. Among them, yanhusanines H-L feature a unique 13,13a-seco skeleton which is rare in nature. Their structural elucidations were achieved by e...

Four minor undescribed terpenoids, including a monoterpenoid (1) and three triterpenoids (3, 6 and 7), together with 26 known terpenoids were isolated from the stems and twigs of Rhododendron Ovatum. Their structures were identified by extensive spectroscopic analyses and electronic circular dichroism (ECD) techniques. Compound 10 showed excellent...

Seco and nor-seco isodhilarane-type meroterpenoids (SIMs and NSIMs) are mainly found in Penicillium fungi and have been characterized by highly congested polycyclic skeletons and a broad range of bioactivities. However, the literature reports inconsistent configuration assignments for some SIMs and NSIMs, due to their complex polycyclic systems and...

Here, we report a theoretical investigation of the reactivity and chemoselectivity of carbene-enabled ether activation. The mechanism obtained from DFT calculations revealed that the final products were dependent on the stability of the oxonium intermediate, which was afforded by nucleophilic attack of the corresponding ether onto a carbene species...

Suppose $M$ is a closed Riemannian manifold. For a $C^2$ generic (in the sense of Ma\~n\'e) Tonelli Hamiltonian $H: T^*M\rightarrow\mathbb{R}$, the minimal viscosity solution $u_\lambda^-:M\rightarrow \mathbb{R}$ of the negative discounted equation \[-\lambda u+H(x,d_xu)=c(H),\quad x\in M,\ \lambda>0 \] with the Ma\~n\'e's critical value $c(H)$ con...

Two new diterpenoids, dauricumins A (1) and B (2), together with two known aromatic meroterpenoids (3 and 4), were isolated from the petroleum ether soluble fraction of the stems from Rhododendron dauricum through an HPLC-MS-SPE-NMR combination strategy. The absolute configurations of 1 and 2 were elucidated by ECD calculations and [Rh2 (OCOCF3)4]-...

Periodontitis is characterized by local inflammatory response and alveolar bone resorption induced by pathogenic microorganisms colonization. The increase in reactive oxygen species (ROS) levels not only aggravates the local inflammation, but also inhibits the process of osteogenesis. The coupled process of reducing ROS level and reshaping the acti...

The complete chloroplast genome of Sparganium glomeratum was sequenced and assembled in this study. The circular genome is 160,391 bp in length and exhibits a typical quadripartite structure with a large single-copy (LSC, 87,660 bp) and small single-copy (SSC, 18,721 bp) regions, separated by a pair of inverted repeats (IRs, 27,005 bp). The cp geno...

In a continuing search for biological natural products with structure diversity from traditional Chinese herbs, five new sesquineolignans (1–5) were isolated from an ethyl acetate extract of the twigs of Litsea cubeba. Their structures were elucidated based on MS, 1D and 2D NMR spectroscopic data, as well as experimental electronic circular dichroi...

Epigenetic modification refers to the chemical modifications of chromosomal DNA and histones, mainly including DNA methylation, histone modifications and non-coding RNAs. Without altering the DNA sequence, these heritable modifications can affect gene expression profiles by changing the chromatin state and play an important role in regulating the g...

Humic substances (HSs), as electron shuttles, are associated with iron oxide transformation, yet the manner by which HSs affect Cd/As availabilities during this process under anaerobic conditions remains unclear. Two HSs (humic sodium, HA-Na, and biochemical fulvic acid, BFA) were applied at 0, 1, 2, and 4 gCkg-1 in a submerged incubation experimen...

The sense of taste plays a crucial role in herbivorous insects by discriminating nutrients from complex plant metabolic compounds. The peripheral coding of taste has been thoroughly studied in many insect species, but the central gustatory pathways are poorly described. In the present study, we characterized single neurons in the gnathal ganglion o...

Chlorahupetones A-I (1-9), nine sesquiterpenoid dimers, were isolated from Chloranthus henryi var. hupehensis. Their structures were characterized by nuclear magnetic resonance (NMR), electronic circular dichroism (ECD), and X-ray diffraction analysis. Compound 1 features a unique 3/5/6/5/4/7/7/5-fused octacyclic carbon skeleton of lindenane-type a...

For any compact connected manifold M, we consider the generalized contact Hamiltonian H(x, p, u) defined on \(T^*M\times \mathbb {R}\) which is convex in p and monotonically increasing in u. Let \(u_\varepsilon ^-:M\rightarrow \mathbb {R}\) be the viscosity solution of the parametrized contact Hamilton–Jacobi equation $$\begin{aligned} H(x,d_x u_\v...

Purpose: Triple-negative breast cancer (TNBC), the most aggressive subtype of breast cancer, is associated with high invasiveness, high metastatic occurrence and poor prognosis. Protein tyrosine kinase 7 (PTK7) plays an important role in multiple cancers. However, the role of PTK7 in TNBC has not been well addressed. This study was performed to ev...

Chenopodium ambrosioides L. (C. ambrosioides) has been used as dietary condiments and as traditional medicine in South America. The oil of Chenopodium ambrosioides L. (C. ambrosioides) can be used as a natural antioxidant in food processing. It also has analgesic, sedating, and deworming effects, and can be used along with the whole plant for its m...

Establishing a plantation with varied distances between trees is one way to control stand density in an initial growth stage. Understanding how stand growth patterns are influenced by initial spacing can help maximize growth and yield. The purpose of this study was to examine the long-term effects of different patterns of initial tree spacing on st...

Migraine is a neurological disorder characterized by attacks of moderate or severe headache and various neurological symptoms. Acupuncture, as a commonly used non-pharmacological therapy, has the advantage of obvious therapeutic effect and few side effects in the prevention and treatment of migraine. But the underlying mechanism of acupuncture on m...

As reported in our previous study, cinaciguat can improve implant osseointegration in type 2 diabetes mellitus (T2DM) rats by reactivating type 2 cGMP-dependent protein kinase (PKG2), but the downstream mechanisms remain unclear. In the present study, we investigated the favorable effect of cinaciguat on primary rat osteoblast, which was cultivated...

T cell protein tyrosine phosphatase (TCPTP), a vital regulator in glucose metabolism, inflammatory responses, and tumor processes, is increasingly considered a promising target for disease treatments and illness control. This review discusses the structure, substrates and main biological functions of TCPTP, as well as its regulatory effect in gluco...

Objectives To investigate the prognostic value of pre-procedure neutrophil-to-lymphocyte ratio (NLR) and platelet-to-lymphocyte ratio (PLR) and construct a nomogram to predict disease-free survival (DFS) in patients receiving radiofrequency ablation (RFA) for hepatocellular carcinoma (HCC) within Milan criteria.Methods The data of 515 patients of H...

In this article we develop an analogue of Aubry Mather theory for time periodic dissipative equation \[ \left\{ \begin{aligned} \dot x&=\partial_p H(x,p,t),\\ \dot p&=-\partial_x H(x,p,t)-f(t)p \end{aligned} \right. \] with $(x,p,t)\in T^*M\times\mathbb T$ (compact manifold $M$ without boundary). We discuss the asymptotic behaviors of viscosity sol...