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Background: It is controversial whether patients with hepatocellular carcinoma (HCC) with portal vein tumor thrombus (PVTT) should undergo salvage surgery following the combination therapy of tyrosine kinase inhibitors (TKIs) and programmed cell death protein 1 (PD-1) inhibitors. This study aimed to elucidate the efficiency and safety of salvage surgery following combination therapy, while also summarizing a novel surgical approach for Vp3/4 PVTT. Methods: Between April 2019 and December 2022, a consecutive series of unresectable HCC patients with PVTT who received salvage surgery following combination therapy were enrolled. Evaluation included perioperative and long-term follow-up outcomes. The complete removal of Vp3/4 PVTT was achieved using a novel surgical approach characterized by "longitudinal incision and transverse suturing" and "angle-to-straight conversion". Results: Forty patients including 22 patients with Vp3 and 18 patients with Vp4 were included. Long-term follow-up showed similar rates of portal vein patency (Vp3: 95.5%, Vp4:94.4%, p = 0.900), and 3-year portal vein patency rates were 95.0%. There were no significant differences observed in combination therapy-related adverse events (p = 0.253) and perioperative complications (p = 0.613) between the Vp3 and Vp4 groups. The recurrence patterns were similar between the two groups (p = 0.131). There were no significant differences in overall survival (OS) and recurrence-free (RFS) survival between the Vp3 and Vp4 groups (OS p = 0.457, RFS p = 0.985). Patients who achieved a pathological complete response had significantly better RFS (p = 0.011). Conclusion: Salvage surgery after combination therapy demonstrated favorable efficacy and safety. The novel surgical approach for PVTT can effectively achieve complete removal of PVTT and ensured long-term portal vein patency. [ABSTRACT FROM AUTHOR]

In this paper, we construct an explicit family of measures that are $p$ -adic doubling for any given pair of primes, yet not doubling. This generalizes the construction by Boylan, Mills, and Ward on a structure theorem on the intersection of dyadic doubling measures and tri-adic doubling measures. As some byproducts, we apply these results to show analogous statements about the reverse Hölder and Muckenhoupt $A_p$ classes of weights. [ABSTRACT FROM AUTHOR]

Background: Hepatocellular carcinoma (HCC) is characterized by a high recurrence rate and poor prognosis. In recent years, the therapeutic regimen of programmed cell death protein 1 (PD-1) antibody combined with multi-targeted tyrosine kinase inhibitors (mTKIs) has achieved better results in the clinical application of hepatocellular carcinoma. Whole-exome sequencing can reflect the mutational characteristics of patients' exons and guide the clinical selection of molecular targeting drugs more accurately, which is in line with the concept of precision medicine. Methods: We performed exome sequencing on 63 patients with HCC treated with radical surgery at our hospital and collected their clinical indexes and postoperative follow-up data. Using machine learning, a prediction model for recurrence within 1 year was constructed and the model was presented in a nomogram. Patients treated with PD-1 antibodies in combination with mTKIs after relapse were grouped by prognosis, and the valuable mutated genes were screened according to whole-exome sequencing data. The tumor tissue immune cells were analyzed using the UCSC Xena database. The expressions of target proteins were verified by Polymerase Chain Reaction (PCR) and Immunohistochemistry (IHC), respectively, on commercial HCC cell lines and pathological specimens of hepatocellular carcinoma collected clinically. Results: The proportion of patients who relapsed within a year was 41% and the prognosis of those patients was poor. The characteristic exon mutation profile with a high frequency of variants in multiple mucin genes was present in Chinese HCC patients. Multiple nidi and 30 exon variants were brought into the prediction model with an area under the curve (AUC) = 0.94. MUC6 gene mutation was obvious in patients with an early recurrence, and MUC3A and MUC4 gene mutations were evident in patients with poorer responses to PD-1 antibodies combined with mTKIs. Those three mucins were negatively correlated with immune infiltrating cells. Conclusions: We depicted the exon characteristics of hepatocellular carcinoma in the Chinese population and established a predictive model for recurrence within 1 year after radical surgical treatment. Moreover, we found that mucins were worthy targets of hepatocellular carcinoma. [ABSTRACT FROM AUTHOR]

Background and objective: The recurrence occurs within 5 years in up to 70% of hepatocellular carcinoma (HCC) patients who received radical liver resection, and most patients are no longer suitable for repeat surgery. There are limited treatment options for unresectable recurrent HCC. This study aimed to explore the potential efficacy of treatment based on TKIs in combination with PD-1 inhibitors for unresectable recurrent HCC. Methods: Forty-four patients with unresectable recurrent HCC after radical surgery between January 2017 and November 2022 were retrospectively collected and screened. All patients received the combination therapy of tyrosine kinase inhibitors (TKIs) and programmed cell death protein 1 (PD-1) inhibitors, and 18 of these patients received trans-arterial chemoembolization (TACE) or TACE combined with radiofrequency ablation (RFA). Two patients who received TKIs in combination with PD-1 inhibitors eventually obtained repeat surgery, with one patient undergoing a repeat hepatectomy and one patient receiving a liver transplant. Results: The median survival for these patients was 27.0 months (95% confidence interval [CI] 21.2, 32.8), with a 1-year overall survival (OS) rate of 83.6% (95% CI 77.9%, 89.3%). Median progression-free survival (PFS) was 15.0 months (95.0% CI 12.1, 17.9), with a 1-year PFS rate of 77.0% (95% CI 70.6%, 83.4%). The two patients who underwent repeat surgery had a survival time of 34 and 37 months after the combined treatment with no recurrence, respectively, as of November 2022. Conclusion: The combination of TKIs and PD-1 inhibitors for unresectable recurrent HCC is effective and can prolong the survival of patients in this group. [ABSTRACT FROM AUTHOR]

We consider the scattering of light in participating media composed of sparsely and randomly distributed discrete particles. The particle size is expected to range from the scale of the wavelength to several orders of magnitude greater, resulting in an appearance with distinct graininess as opposed to the smooth appearance of continuous media. One fundamental issue in the physically-based synthesis of such appearance is to determine the necessary optical properties in every local region. Since these properties vary spatially, we resort to geometrical optics approximation (GOA), a highly efficient alternative to rigorous Lorenz—Mie theory, to quantitatively represent the scattering of a single particle. This enables us to quickly compute bulk optical properties for any particle size distribution. We then use a practical Monte Carlo rendering solution to solve energy transfer in the discrete participating media. Our proposed framework is the first to simulate a wide range of discrete participating media with different levels of graininess, converging to the continuous media case as the particle concentration increases. [ABSTRACT FROM AUTHOR]

Worldwide, hepatocellular carcinoma (HCC) is the most common subtype of liver cancer. However, the survival rate of patients with HCC continues to be poor. The recent literature has revealed that long non-coding RNAs (lncRNAs) and the occurrence of pyroptosis can perform a substantial task in predicting the prognosis of the respective condition along with the response to immunotherapy among HCC patients. Thus, screening and identifying lncRNAs corelated with pyroptosis in HCC patients are critical. In the current study, pyroptosis-related lncRNAs (PR-lncRNAs) have been obtained by co-expression analysis. The Least Absolute Shrinkage and Selection Operator (LASSO) and univariate and multivariate Cox regression assessments have been performed to develop a PR-lncRNA prognostic model. The risk model was analysed using Kaplan–Meier analysis, principal component analysis (PCA), functional enrichment annotation, and a nomogram. The risk model composed of five PR-lncRNAs was identified as an independent prognostic factor. The tumour immune microenvironment (TIME) was assessed using model groupings. Finally, we validated the five PR-lncRNAs in vitro using a quantitative real-time polymerase chain reaction (qRT-PCR). [ABSTRACT FROM AUTHOR]

In this paper, we introduce a dyadic structure on convex domains of finite type via the so-called dyadic flow tents. This dyadic structure allows us to establish weighted norm estimates for the Bergman projection P on such domains with respect to Muckenhoupt weights. In particular, this result gives an alternative proof of the L p boundedness of P. Moreover, using extrapolation, we are also able to derive weighted vector-valued estimates and weighted modular inequalities for the Bergman projection. [ABSTRACT FROM AUTHOR]

In this paper, we prove a sharp Mei's Lemma assuming the bases of the underlying general dyadic grids are different. As a byproduct, we specify all the possible cases of adjacent general dyadic systems with different bases. The proofs have connections with certain number-theoretic properties. [ABSTRACT FROM AUTHOR]

We consider, in a quite general setting, inductive limits of weighted spaces of holomorphic functions in the unit ball of C n . The relationship between sets of uniqueness, weakly sufficient sets and sampling sets in these spaces is studied. In particular, the equivalence of these sets, under some conditions of the weights, is obtained. [ABSTRACT FROM AUTHOR]

Background and Aims: Immunotherapy with PD-1 inhibitors combined with tyrosine kinase inhibitors (TKIs) has been proven to be effective against advanced hepatocellular carcinoma (HCC). The aim of this study was to identify the feasibility and safety of subsequent salvage surgery after this combination therapy. Methods and Patients: A retrospective analysis was performed on patients with primary HCC with major vascular invasion between 2018 and 2019. All cases were treated with a combination of a PD-1 inhibitor and TKI agents and subsequent surgery. Results: A total of 10 HCC cases with major vascular invasion met the successful conversion criteria after the combination therapy, and eight patients underwent subsequent salvage surgery after both radiology and 3D quantitative oncological assessment. Partial response (PR) was recorded in 7 of 10 patients and complete response (CR) in 3 of 10 patients before salvage surgery. Salvage surgery included right hepatectomy, left hepatectomy, and anatomic segmental hepatectomy. The mean intraoperative blood loss was 1,650 ml (50–3,000 ml). No complications beyond Clavien–Dindo level III or postoperative mortality were observed. The viable tumor cell rate of the PR cases (modified response evaluation criteria in solid tumors, mRECIST) varied from 1.5% to 100%, and only one patient had pathology-proven pathological complete response (pCR). The postoperative median follow-up time was 19.7 months (9.1–24.9 months). The 12-month recurrence-free survival rate of all cases who underwent salvage surgery was 75%. Conclusion: Salvage surgery was effective and safe after conversion therapy with PD-1 inhibitors plus TKIs and may increase the long-term oncological benefit for patients with unresectable HCC. [ABSTRACT FROM AUTHOR]

Advanced intrahepatic cholangiocarcinoma (iCCA) is not suitable for surgical treatment. Guided by the concept of precision medicine, preoperative systematic treatment may reshape the clinical outcomes of advanced intrahepatic cholangiocarcinoma patients. We describe the case of a 38-year-old female who has been diagnosed with stage IV intrahepatic cholangiocarcinoma with a high tumor mutational burden and positively programmed death-ligand 1 (PD-L1) expression. The patient was treated with programmed cell death 1 (PD-1) inhibitors combined with tyrosine kinase inhibitors (TKIs). After 7 cycles of combination therapy, she underwent radical resection and no tumor cells were found in the postoperative histopathological examination. In addition, the patient's survival time had reached 25 months, as of August 2021. To date, this is the first case of successful radical resection after combined immunotherapy with TKIs for advanced PD-L1-positive intrahepatic cholangiocarcinoma with a high tumor mutational burden (TMB). The case provides a new approach to the treatment of advanced intrahepatic cholangiocarcinoma. [ABSTRACT FROM AUTHOR]

Many techniques in harmonic analysis use the fact that a continuous object can be written as a sum (or an intersection) of dyadic counterparts, as long as those counterparts belong to an adjacent dyadic system. Here we generalize the notion of adjacent dyadic system and explore when it occurs, leading to some new and perhaps surprising classifications. In particular, we show that every dyadic grid is determined by two parameters, the shift and the location; moreover two dyadic grids form an adjacent dyadic system if and only if their shifts and locations satisfy readily verifiable conditions. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to study a new class of function spaces, called N (p , q , s) -type spaces, in the unit ball B of C n . We establish some basic properties of this new function space, together with a characterization via Green's function, and finally, we study the Hadamard gap series in N (p , q , s) -type spaces. This is the first paper in a five part series. The second paper deals with the Carleson measure, while the third paper deals with several different characterizations of N (p , q , s) -type spaces via various norms and some applications to distance problems. Moreover, the fourth paper deals with the atomic decomposition of those functions belonging to N (p , q , s) -type spaces, and finally, the fifth paper deals with the Riemann–Stieltjes operators and multipliers on N (p , q , s) -type spaces. [ABSTRACT FROM AUTHOR]

Effective compression of densely sampled BRDF measurements is critical for many graphical or vision applications. In this paper, we present DeepBRDF, a deep‐learning‐based representation that can significantly reduce the dimensionality of measured BRDFs while enjoying high quality of recovery. We consider each measured BRDF as a sequence of image slices and design a deep autoencoder with a masked L2 loss to discover a nonlinear low‐dimensional latent space of the high‐dimensional input data. Thorough experiments verify that the proposed method clearly outperforms PCA‐based strategies in BRDF data compression and is more robust. We demonstrate the effectiveness of DeepBRDF with two applications. For BRDF editing, we can easily create a new BRDF by navigating on the low‐dimensional manifold of DeepBRDF, guaranteeing smooth transitions and high physical plausibility. For BRDF recovery, we design another deep neural network to automatically generate the full BRDF data from a single input image. Aided by our DeepBRDF learned from real‐world materials, a wide range of reflectance behaviors can be recovered with high accuracy. [ABSTRACT FROM AUTHOR]

In this note we give simple proofs of several results involving maximal truncated Calderón–Zygmund operators in the general setting of rearrangement-invariant quasi-Banach function spaces by sparse domination. Our techniques allow us to track the dependence of the constants in weighted norm inequalities; additionally, our results hold in ℝ n as well as in many spaces of homogeneous type. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to study a new class of function spaces, called 𝒩 ⁢ (p , q , s) {\mathcal{N}(p,q,s)} -type spaces, in the unit ball 𝔹 {{\mathbb{B}}} of ℂ n {{\mathbb{C}}^{n}}. The Carleson measure on such spaces is investigated. Some embedding theorems among 𝒩 ⁢ (p , q , s) {\mathcal{N}(p,q,s)} -type spaces, weighted Bergman spaces and weighted Hardy spaces are established. As for applications, the Hadamard products and random power series on 𝒩 ⁢ (p , q , s) {\mathcal{N}(p,q,s)} -type spaces are also studied. [ABSTRACT FROM AUTHOR]

Monte Carlo (MC) methods for light transport simulation are flexible and general but typically suffer from high variance and slow convergence. Gradientdomain rendering alleviates this problem by additionally generating image gradients and reformulating rendering as a screened Poisson image reconstruction problem. To improve the quality and performance of the reconstruction, we propose a novel and practical deep learning based approach in this paper. The core of our approach is a multi-branch auto-encoder, termed GradNet, which end-to-end learns a mapping from a noisy input image and its corresponding image gradients to a high-quality image with low variance. Once trained, our network is fast to evaluate and does not require manual parameter tweaking. Due to the difficulty in preparing ground-truth images for training, we design and train our network in a completely unsupervised manner by learning directly from the input data. This is the first solution incorporating unsupervised deep learning into the gradient-domain rendering framework. The loss function is defined as an energy function including a data fidelity term and a gradient fidelity term. To further reduce the noise of the reconstructed image, the loss function is reinforced by adding a regularizer constructed from selected rendering-specific features. We demonstrate that our method improves the reconstruction quality for a diverse set of scenes, and reconstructing a high-resolution image takes far less than one second on a recent GPU. [ABSTRACT FROM AUTHOR]

Transmission of radiation through spatially-correlated media has demonstrated deviations from the classical exponential law of the corresponding uncorrelated media. In this paper, we propose a general, physically-based method for modeling such correlated media with non-exponential decay of transmittance. We describe spatial correlations by introducing the Fractional Gaussian Field (FGF), a powerful mathematical tool that has proven useful in many areas but remains under-explored in graphics. With the FGF, we study the effects of correlations in a unified manner, by modeling both high-frequency, noise-like fluctuations and k-th order fractional Brownian motion (fBm) with a stochastic continuity property. As a result, we are able to reproduce a wide variety of appearances stemming from different types of spatial correlations. Compared to previous work, our method is the first that addresses both short-range and long-range correlations using physically-based fluctuation models. We show that our method can simulate different extents of randomness in spatially-correlated media, resulting in a smooth transition in a range of appearances from exponential falloff to complete transparency. We further demonstrate how our method can be integrated into an energy-conserving RTE framework with a well-designed importance sampling scheme and validate its ability compared to the classical transport theory and previous work. [ABSTRACT FROM AUTHOR]

In this paper, we aim to prove that the Fourier coefficients of the modular function η 2 4 (τ) η 2 4 (2 τ) possess a sign-change property. [ABSTRACT FROM AUTHOR]

We study the holomorphic functions with Hadamard gaps in-spaces on the unit ball ofwhenand. A corollary on analytic functions with Hadamard gaps on-spaces on the unit disc is also given. [ABSTRACT FROM PUBLISHER]

Background: Insertion–deletion mutations (indels) may generate more tumour-specific neoantigens with high affinity to major histocompatibility complex class I. A high indel ratio is also related to a good response to programmed death-1 (PD-1) checkpoint blockade in melanoma and renal cell carcinoma. However, the correlation between a high indel ratio and the immunotherapy response in intrahepatic cholangiocarcinoma (ICC) is unknown. Case presentation: Two patients with relapsed ICC at stage IIIb were treated with PD-1 blockade combined with chemotherapy. After 7 and 4 months of chemotherapy and PD-1 blockade (3 and 15 cycles, and 5 and 6 cycles, respectively), magnetic resonance imaging and positron emission tomography with computed tomography imaging showed that both patients achieved a complete response (CR), which has lasted up to nearly 16 and 13 months to date, respectively. Whole-exome sequencing and immunohistochemistry analysis showed that both patients had cancers with microsatellite stability (MSS) and mismatch repair (MMR) proficiency, weak PD-L1 expression, and a tumour mutation burden (TMB) of 2.95 and 7.09 mutations/Mb, respectively. Patient 2 had mutations of TP53 and PTEN that are known to confer sensitivity to immunotherapy, and the immunotherapy-resistant mutation JAK2, whereas patient 1 had no known immunotherapy response-related mutations. However, the indel ratios of the two patients (48 and 66.87%) were higher than the median of 12.77% determined in a study of 71 ICC patients. Moreover, comparison to six additional ICC patients who showed a partial response, stable disease, or progressive disease after PD-1 blockade treatment alone or in combination with chemotherapy demonstrated no difference in PD-L1 expression, TMB, MSI, and MMR status from those of the two CR patients, whereas the indel frequency was significantly higher in the CR patients. Conclusions: These two cases suggest that indels might be a new predictor of PD-1 blockade response for ICC patients beside PD-L1 expression, TMB, MSI, and dMMR, warranting further clinical investigation. [ABSTRACT FROM AUTHOR]