1.Current Status,Strategies and Prospects of Traditional Chinese Medicine Diagnosis and Treatment for Irritable Bowel Syndrome
Yandong WEN ; Zhi YANG ; Shaogang HUANG ; Zhongyu LI ; Xiangxue MA ; Qing XU ; Liqing DU ; Bochao YUAN ; Yibing TIAN ; Wentong GE ; Xiaofan ZHAO ; Chang LIU ; Xudong TANG
Journal of Traditional Chinese Medicine 2026;67(4):404-409
Irritable bowel syndrome (IBS) is a functional bowel disorder characterized primarily by abdominal pain and altered defecation habits. In recent years, traditional Chinese medicine (TCM) has made progress in multiple aspects of IBS research and treatment, including syndrome distribution, development of TCM formulas, clinical efficacy evaluation, external therapies, and psychosocial regulation. However, it still faces challenges such as over-reliance on symptomatic manifestations rather than biomarkers for diagnostic criteria, and the lack of high-quality evidence-based data supporting the efficacy of TCM formulas in treating IBS. This paper proposed that TCM diagnosis and treatment of IBS should adhere to the strategy of integrating the holistic concept with syndrome differentiation and treatment, combining TCM external therapies such as acupuncture, moxibustion and acupoint application), and emphasizing individualized diagnosis and treatment for psychosomatic abnormalities. Future research should integrate multi-omics technologies, artificial intelligence and other methods to deepen the understanding of the pathogenesis of IBS and the mechanisms of TCM formulas, so as to promote the standardization and internationalization of TCM in the diagnosis and treatment of IBS.
2.Allogeneic lung transplantation in miniature pigs and postoperative monitoring
Yaobo ZHAO ; Ullah SALMAN ; Kaiyan BAO ; Hua KUI ; Taiyun WEI ; Hongfang ZHAO ; Xiaoting TAO ; Xinzhong NING ; Yong LIU ; Guimei ZHANG ; He XIAO ; Jiaoxiang WANG ; Chang YANG ; Feiyan ZHU ; Kaixiang XU ; Kun QIAO ; Hongjiang WEI
Organ Transplantation 2026;17(1):95-105
Objective To explore the feasibility and reference value of allogeneic lung transplantation and postoperative monitoring in miniature pigs for lung transplantation research. Methods Two miniature pigs (R1 and R2) underwent left lung allogeneic transplantation. Complement-dependent cytotoxicity tests and blood cross-matching were performed before surgery. The main operative times and partial pressure of arterial oxygen (PaO2) after opening the pulmonary artery were recorded during surgery. Postoperatively, routine blood tests, biochemical blood indicators and inflammatory factors were detected, and pathological examinations of multiple organs were conducted. Results The complement-dependent cytotoxicity test showed that the survival rate of lymphocytes between donors and recipients was 42.5%-47.3%, and no agglutination reaction occurred in the cross-matching. The first warm ischemia times of D1 and D2 were 17 min and 10 min, respectively, and the cold ischemia times were 246 min and 216 min, respectively. Ultimately, R1 and R2 survived for 1.5 h and 104 h, respectively. Postoperatively, in R1, albumin (ALB) and globulin (GLB) decreased, and alanine aminotransferase increased; in R2, ALB, GLB and aspartate aminotransferase all increased. Urea nitrogen and serum creatinine increased in both recipients. Pathological results showed that in R1, the transplanted lung had partial consolidation with inflammatory cell infiltration, and multiple organs were congested and damaged. In R2, the transplanted lung had severe necrosis with fibrosis, and multiple organs had mild to moderate damage. The expression levels of interleukin-1β and interleukin-6 increased in the transplanted lungs. Conclusions The allogeneic lung transplantation model in miniature pigs may systematically evaluate immunological compatibility, intraoperative function and postoperative organ damage. The data obtained may provide technical references for subsequent lung transplantation research.
3.Mechanisms of Renshentang in Treating AS via Regulation of Endothelial Cell Inflammation Based on TRPV1
Ce CHU ; Yulu YUAN ; Zhen YANG ; Xuguang TAO ; Xiangyun CHEN ; Zhanzhan HE ; Yuxin ZHANG ; Yongqi XU ; Wanping CHEN ; Peizhang ZHAO ; Wenlai WANG ; Hongxia ZHAO
Chinese Journal of Experimental Traditional Medical Formulae 2026;32(6):46-53
ObjectiveTo investigate the mechanisms by which Renshentang treats atherosclerosis (AS) in mice, focusing on the regulation of endothelial inflammatory responses mediated by transient receptor potential vanilloid subtype 1 (TRPV1). MethodsAn AS model was established in apolipoprotein E knockout (ApoE-/-) mice fed a high-fat diet. The mice were randomly divided into a simvastatin group (0.02 g·kg-1·d-1) and low-, medium-, and high-dose Renshentang groups (1.77, 3.54, 7.08 g·kg-1·d-1), with 12 mice in each group. ApoE-/- mice were fed a high-fat diet and treated simultaneously. C57BL/6J mice fed a normal diet served as the normal group (n=9). After continuous administration for 12 weeks, mice were anesthetized and the aortas were collected. Oil Red O staining was used to observe lipid plaque formation in the aorta. Hematoxylin-eosin (HE) staining was performed to examine pathological changes in the aortic root. Immunohistochemistry was used to analyze the levels of pro-inflammatory factors tumor necrosis factor-α (TNF-α) and interleukin-1β (IL-1β), as well as the expression of TRPV1, phosphorylated phosphoinositide 3-kinase (p-PI3K), and phosphorylated protein kinase B (p-Akt) in the aortic root. Real-time quantitative polymerase chain reaction (Real-time PCR) was used to detect endothelial nitric oxide synthase (eNOS) mRNA expression in the aorta, and Western blot was used to detect TRPV1 protein expression. ResultsCompared with the normal group, the model group showed a significant increase in aortic plaque formation (P<0.01) and significantly elevated levels of TNF-α and IL-1β in the aortic root (P<0.01). The expression levels of TRPV1, p-PI3K, and p-Akt were decreased (P<0.05, P<0.01), and eNOS mRNA expression was reduced (P<0.05, P<0.01). Compared with the model group, all Renshentang groups significantly reduced aortic plaque formation (P<0.01), significantly decreased TNF-α and IL-1β levels (P<0.01), and markedly increased the expression levels of TRPV1, p-PI3K, p-Akt, and eNOS mRNA (P<0.05, P<0.01). ConclusionRenshentang may inhibit endothelial inflammation and suppress the formation of AS by increasing TRPV1 protein expression and up-regulating the PI3K/Akt/eNOS signaling pathway, which may be one of the molecular mechanisms underlying its therapeutic effect against AS.
4.Establishment and Evaluation of New Mouse Model of Rheumatoid Arthritis Combined with Interstitial Lung Disease
Liting XU ; Qingyu ZHAO ; Chao YANG ; Lianhua HE ; Congcong SUN ; Shuangrong GAO ; Lili WANG ; Chunfang LIU ; Na LIN
Chinese Journal of Experimental Traditional Medical Formulae 2026;32(6):81-90
ObjectiveTo establish a mouse model of rheumatoid arthritis with interstitial lung disease (RA-ILD) in DBA/1 mice using Porphyromonas gingivalis (Pg) infection combined with collagen-induced arthritis (CIA), and to comprehensively evaluate pathological characteristics in joints, lungs, and serum. MethodsForty DBA/1 mice were randomly divided into four groups, i.e., Control, Pg infection (Pg), CIA, and Pg infection combined with CIA (Pg+CIA), with 10 mice in each group. Arthritis clinical symptoms were evaluated by recording arthritis incidence and clinical scores. Micro-CT scanning was used to assess knee joint pathology. Histopathological changes and collagen deposition in knee joints and lung tissues were analyzed using hematoxylin-eosin (HE) and Masson staining. Immunohistochemistry was performed to detect protein expression of α-smooth muscle actin (α-SMA), typeⅠ collagen (ColⅠ), and fibronectin (FN) in lung tissues. Real-time quantitative polymerase chain reaction(Real-time PCR)was used to measure mRNA expression levels of α-SMA, ColⅠ, FN, tumor necrosis factor-α (TNF-α), interleukin-6 (IL-6), and IL-1β in lung tissues. Enzyme-linked immunosorbent assay (ELISA) was used to detect serum levels of Pg, cyclic citrullinated peptide (CCP), and immunoglobulin G (IgG). ResultsJoint lesions: The CIA and Pg+CIA groups showed 100% arthritis incidence, with evident joint redness, swelling, and deformity. The number of affected limbs was 27 and 28, and clinical scores were 68 and 70, respectively. No obvious clinical symptoms were observed in the Pg group. Histopathological and imaging analyses showed severe joint lesions in the CIA and Pg+CIA groups, with significantly increased histopathological scores, bone mineral density, bone volume fraction, trabecular thickness, and trabecular number compared to the Control group (P<0.01). No obvious joint pathology was observed in the Pg group. Lung lesions: The Pg+CIA group exhibited marked alveolar inflammation, interstitial inflammatory cell infiltration, and alveolar wall thickening, with pronounced blue staining of collagen fibers. Histopathological scores and collagen area ratios were significantly higher than those of the Control, Pg, and CIA groups (P<0.05). Lung protein and mRNA expression levels of α-SMA, ColⅠ, and FN were markedly increased, and mRNA levels of IL-6, TNF-α, and IL-1β were significantly elevated compared to the Control group (P<0.05). Serology: The Pg+CIA group showed significantly higher levels of CCP, Pg, and IgG compared with the Control, Pg, and CIA groups (P<0.05). ConclusionDBA/1 mice subjected to Pg infection combined with CIA exhibited pronounced symptoms and pathological features of RA-ILD, along with elevated serum anti-CCP antibody levels. This model represents a novel RA-ILD mouse model, providing a valuable experimental tool for investigating RA-ILD pathogenesis and developing new therapeutics, and serves as a basis for establishing anti-cyclic citrullinated peptide antibody (ACPA)-positive RA-ILD animal models.
5.Construction and validation of circadian rhythm genes-related prognostic risk model for lung adenocarcinoma
Yanqi CUI ; Hu ZHAO ; Yawei ZHANG ; Lin NI ; Duohuang LIAN ; Jingrong YANG ; Shixin YE ; Fengfeng XU ; Jincan ZHANG ; Zhiyong ZENG
Chinese Journal of Clinical Thoracic and Cardiovascular Surgery 2026;33(04):550-558
Objective To explore the relationship between circadian rhythm genes and the occurrence, development, prognosis, and tumor microenvironment (TME) of lung adenocarcinoma (LUAD). Methods The Cancer Genome Atlas data were used to evaluate the expression, copy number variation, and somatic mutation frequency of circadian gene sets in LUAD. Gene ontology, Kyoto encyclopedia of genes and genomes, and gene set enrichment analysis were used to explore the potential mechanisms by which circadian rhythm genes affected LUAD progression. Cox regression, least absolute shrinkage and selection operator regression, support vector machine recursive feature elimination, and random forest screened circadian genes and established prognostic models, and on this basis constructed nomogram to predict patients’ 1-, 3-, and 5-year survival rates. Kaplan-Meier survival curves, receiver operating characteristic (ROC) curves, and time-dependent ROC curves were drawn to evaluate the predictive ability of the model, and the external dataset of GEO further verified the prognostic value of the prediction model. In addition, we evaluated the association of the prognostic model with immune cells and immune checkpoint genes. Single cell RNA sequencing (scRNA-seq) analysis was used to explore the molecular characteristics between prognostically relevant circadian genes and different immune cell populations in TME. Results Differentially expressed circadian rhythm genes were mainly enriched in biological processes related to cGMP-PKG signaling pathway, lipid and atherosclerosis, and JAK-STAT signaling pathway. Seven circadian rhythm genes: LGR4, CDK1, KLF10, ARNTL2, RORA, NPAS2, PTGDS were screened out, and a RiskScore model was established. According to the median RiskScore, samples were divided into a high-risk group and a low-risk group. Compared with patients in the low-risk group, patients in the high-risk group showed a poorer prognosis (P<0.001). Immunological characterization analysis showed that there were differences in the infiltration of multiple immune cells between the low-risk group and high-risk group. Most immune checkpoint genes had higher expression levels in the high-risk group than those in the low-risk group, and RiskScore was positively correlated with the expression of CD276, TNFSF4, PDCD1LG2, CD274, and TNFRSF9, and negatively correlated with the expression of CD40LG and TNFSF15. The scRNA-seq analysis showed that RORA and KLF10 were mainly expressed in natural killer cells. Conclusion The prognostic model based on seven feature circadian rhythm genes has certain predictive value for predicting survival of LUAD patients. Dysregulated expression of circadian genes may regulate the occurrence, progression as well as prognosis of LUAD through affecting TME, which provides a possible direction for finding potential strategies for treating LUAD from the perspective of mechanism by which circadian disorder affects immune cells.
6.CEACAM6 Expression is Associated with Immune Infiltration and Poor Prognosis in Esophageal Squamous Cell Carcinoma
Jiahui LI ; Enwei XU ; Wei CUI ; Yuanyuan ZHAO ; Keqing KANG ; Peng BU ; Guohai ZHAO ; Yang ZHOU
Cancer Research on Prevention and Treatment 2026;53(3):194-202
Objective To investigate the expression of carcinoembryonic antigen-related cell adhesion molecule 6 (CEACAM6) in esophageal squamous cell carcinoma (ESCC) and analyze its correlation with immune cell infiltration and patient prognosis. Methods Three ESCC datasets (GSE161533, GSE26886, and GSE23400) from the GEO database were analyzed to identify differentially expressed genes. CEACAM6 was identified as a key gene through survival analysis. Its expression, prognostic value, and relationship with immune cell infiltration were further explored using databases, such as TIMER. Tissue samples were collected from 162 patients with ESCC. Immunohistochemistry was performed to detect the expression of CEACAM6, immune cell markers (CD4, CD8, CD20, and CD56), and immune checkpoint molecules (HHLA2 and CD40LG). Correlations between CEACAM6 expression and clinicopathological features, immune cell infiltration, and immune checkpoints were analyzed. Results Bioinformatic analysis and clinical sample validation confirmed that CEACAM6 expression was significantly upregulated in ESCC tissues compared with adjacent nontumor tissues (P<0.05). High CEACAM6 expression was closely associated with advanced clinical stage (AJCC Ⅲ-Ⅳ), high T stage (T3-T4), lymph node metastasis, nonulcerative type, and poor prognosis. Furthermore, CEACAM6 expression levels were positively correlated with the infiltration density of CD8+ T cells, CD4+ T cells, and CD20+ B cells within the tumor microenvironment and with the expression of the immune checkpoint molecules HHLA2 and CD40LG (all P<0.05). Conclusion CEACAM6 serves as an independent poor prognostic factor for ESCC. Its high expression is implicated in the modulation of the tumor immune microenvironment by correlating with specific immune cell infiltration and immune checkpoint molecules, suggesting its potential as a novel prognostic biomarker and immunotherapeutic target for ESCC.
7.Pre-operative risk assessment of hepatocellular carcinoma recurrence in liver transplant recipients by non-invasive detection of pre-existing genetic lesions
Suqin YANG ; Sunbin LING ; Jianhua LI ; Yan WANG ; Jiapei WANG ; Qiwei HUANG ; Fanming LIU ; Yiqi ZHUANG ; Yingyu ZHENG ; Rui WANG ; Zhe YANG ; Xiaoping ZHENG ; Kai WANG ; Zhikun LIU ; Jun CHEN ; Jianguo WANG ; Haiyang XIE ; Lin ZHOU ; Leiming CHEN ; Guoqiang CAO ; Dandan CHEN ; Junfang JI ; Bin ZHAO ; Chao JIANG ; Di LU ; Xuyong WEI ; Hangjin JIANG ; Qiaonan SHAN ; Hengbo SHI ; Yong-Zhen XU ; Shusen ZHENG ; Zhengxin WANG ; Shengda LIN ; Xiao XU
Clinical and Molecular Hepatology 2026;32(2):884-903
Background/Aims:
Liver transplantation (LT) following total hepatectomy is a life-saving treatment for hepatocellular carcinoma (HCC). The HCC recurrence after LT hinders the effectiveness of the procedure. The objective of this study is to develop a pre-operative risk stratification model based on a liquid biopsy.
Methods:
We conducted a comprehensive multi-omics study of 260 HCC patients from three centers, including clinical data, low-coverage whole-genome sequencing of cell-free DNA (cfDNA) from plasma, as well as whole-exome, single-nucleus RNA, and spatial transcriptomics from matched tumor and non-tumor tissues.
Results:
We identified cfDNA-derived copy number alteration (CNA) signatures associated with post-transplant recurrence. By integrating cfDNA-derived CNA profiles with single-cell transcriptomic data, we traced recurrence-associated cfDNA to a distinct subpopulation of malignant cells within the primary tumor. These cells were embedded in a pro-metastatic microenvironment of specialized endothelial subtypes and cancer-associated fibroblasts. Notably, most recurrence-associated lesions were detectable in cfDNA prior to liver transplantation (LT). Building on these insights, we developed the ZJU Criteria based on CNA fragments and tumor markers, a pre-LT risk prediction tool that integrates conventional clinical factors with cfDNA-derived CNA signatures, and validated it using internal and independent external cohorts.
Conclusion
Our findings suggest that post-transplant recurrence commonly originates from advanced subclones that emerge late during tumor evolution. The ZJU Criteria provides an accurate, non-invasive strategy that significantly improves pre-LT risk stratification and clinical decision-making for patients with HCC.
8.Study on the material basis of efficacy of Zhenyang jiuxin decoction for the treatment of chronic heart failure
Zhongkai ZHAO ; Xu WANG ; Jia YANG ; Dantong ZHAO ; Yanqiu WU ; Peizhen CAO ; Rong RONG ; Qihui SUN
China Pharmacy 2026;37(13):1679-1684
OBJECTIVE To analyze the chemical constituents and absorbed prototype components in blood of Zhenyang jiuxin decoction, and explore its potential active substances in the treatment of chronic heart failure (CHF). METHODS SD rats were divided into a blank group (distilled water) and administration groups with blood collection at 0, 15, 30 and 60 min after dosing (14.96 g/kg calculated by crude drug), with 2 rats in each group. Intragastric administration was conducted once every 12 hours for 3 consecutive days. After the last administration, rat blood was collected to prepare drug-containing serum. UPLC-Q-Exactive Orbitrap HRMS combined with the Global Natural Products Social Molecular Networking technology was adopted to identify the chemical constituents of Zhenyang jiuxin decoction and the absorbed prototype components in blood in drug-containing serum. Moreover, network pharmacology, molecular docking and molecular dynamics simulation were used to predict the potential active components and action targets for CHF treatment. RESULTS A total of 116 chemical constituents were identified from Zhenyang jiuxin decoction, including flavonoids (29 species), terpenoids (26 species), saponins (22 species) and other compounds. Twenty absorbed prototype components in blood were detected in drug-containing serum, including icariin, ginsenoside Rg 1 and atractylenolide Ⅰ. Six key active components (icariin, ginsenoside Rg 1 , atractylenolide Ⅰ, hexadecanamide, etc.) and six core k ey targets such as glycogen synthase kinase-3β (GSK-3β), amyloid precursor protein (APP) and epidermal growth factor receptor (EGFR) were screened out via network pharmacology. Molecular docking results showed that all key active components had favorable binding activity with core targets; among them, icariin had the strongest binding capacity to APP. Molecular dynamics simulation verified that the complex formed by icariin and APP possessed excellent stability. CONCLUSIONS The potential active substances of Zhenyang jiuxin decoction against CHF are icariin, ginsenoside Rg₁, atractylenolide Ⅰ and other ingredients, which act on APP, EGFR, GSK-3β and other targets. APP may serve as one of the important action targets of icariin.
9.Study on the material basis of efficacy of Zhenyang jiuxin decoction for the treatment of chronic heart failure
Zhongkai ZHAO ; Xu WANG ; Jia YANG ; Dantong ZHAO ; Yanqiu WU ; Peizhen CAO ; Rong RONG ; Qihui SUN
China Pharmacy 2026;37(13):1679-1684
OBJECTIVE To analyze the chemical constituents and absorbed prototype components in blood of Zhenyang jiuxin decoction, and explore its potential active substances in the treatment of chronic heart failure (CHF). METHODS SD rats were divided into a blank group (distilled water) and administration groups with blood collection at 0, 15, 30 and 60 min after dosing (14.96 g/kg calculated by crude drug), with 2 rats in each group. Intragastric administration was conducted once every 12 hours for 3 consecutive days. After the last administration, rat blood was collected to prepare drug-containing serum. UPLC-Q-Exactive Orbitrap HRMS combined with the Global Natural Products Social Molecular Networking technology was adopted to identify the chemical constituents of Zhenyang jiuxin decoction and the absorbed prototype components in blood in drug-containing serum. Moreover, network pharmacology, molecular docking and molecular dynamics simulation were used to predict the potential active components and action targets for CHF treatment. RESULTS A total of 116 chemical constituents were identified from Zhenyang jiuxin decoction, including flavonoids (29 species), terpenoids (26 species), saponins (22 species) and other compounds. Twenty absorbed prototype components in blood were detected in drug-containing serum, including icariin, ginsenoside Rg 1 and atractylenolide Ⅰ. Six key active components (icariin, ginsenoside Rg 1 , atractylenolide Ⅰ, hexadecanamide, etc.) and six core k ey targets such as glycogen synthase kinase-3β (GSK-3β), amyloid precursor protein (APP) and epidermal growth factor receptor (EGFR) were screened out via network pharmacology. Molecular docking results showed that all key active components had favorable binding activity with core targets; among them, icariin had the strongest binding capacity to APP. Molecular dynamics simulation verified that the complex formed by icariin and APP possessed excellent stability. CONCLUSIONS The potential active substances of Zhenyang jiuxin decoction against CHF are icariin, ginsenoside Rg₁, atractylenolide Ⅰ and other ingredients, which act on APP, EGFR, GSK-3β and other targets. APP may serve as one of the important action targets of icariin.
10.Integrated evidence chain (Eff-iEC) based effectiveness evaluation of a multifunctional traditional Chinese medicine formula: Taking Xiaoyao San as an example
Caiping HE ; Ye LUO ; Zhiqi LI ; Haocheng YANG ; Lu LIU ; Yingjie XU ; Xiaoyan CHEN ; Siqi HUANG ; Jincai WEN ; Xiaoyan ZHAN ; Zhaofang BAI ; Xu ZHAO ; Xiaohe XIAO
Science of Traditional Chinese Medicine 2026;4(1):96-103
The study focuses on the concept of multifunctional traditional Chinese medicine (TCM) formulas and aims to evaluate the efficacy of the classical formula Xiaoyao San (逍遥散). Study employs the integrated evidence chain (Eff-iEC) method to organize, integrate, and evaluate its therapeutic efficacy in treating different diseases with the same therapy, and to investigate the feasibility of using Eff-iEC to evaluate the multifunctionality of TCM formulas. The evaluation covered Xiaoyao San's therapeutic effects on depression, premenstrual syndrome, chronic hepatitis, irritable bowel syndrome, dyspepsia, and menopausal syndrome. Concurrently, the Grading of Recommendations, Assessment, Development, and Evaluation (GRADE) system was used for evaluation, and authoritative medical documents were incorporated to corroborate the recognition of Xiaoyao San within the medical community. Depression and menopausal syndrome received higher ratings than other conditions in the Eff-iEC, GRADE, and Medical Community Recognition assessments. The Eff-iEC evidence grade for Xiaoyao San was rated as "High" or above for chronic hepatitis, irritable bowel syndrome, dyspepsia, and menopausal syndrome. Premenstrual syndrome received a "Moderate +" rating. The GRADE evidence level was "Low-〇〇⨁⨁" for depression, premenstrual syndrome, and chronic hepatitis; "Moderate-〇⨁⨁⨁" for dyspepsia and menopausal syndrome; and "Very Low-〇〇〇⨁" for irritable bowel syndrome. Depression and menopausal syndrome had the highest inclusion frequency, appearing in all 4 categories. Premenstrual syndrome, chronic hepatitis, and dyspepsia are not recommended in Western medical guidelines, but they are included in TCM guidelines, the China National Basic Medical Insurance Drug List, and the China National Essential Drug List. Irritable bowel syndrome appears only in the China National Basic Medical Insurance Drug List and China National Essential Drug List. The evaluation results obtained using the Eff-iEC method align with Medical Community Recognition, providing an objective and comprehensive assessment of Xiaoyao San's efficacy. The findings suggest that Xiaoyao San has strong evidence for treating depression and menopausal syndrome. However, further experimental and clinical trials are needed to assess its efficacy in treating premenstrual syndrome, chronic hepatitis, irritable bowel syndrome, and dyspepsia. These results support the clinical efficacy and rational use of Xiaoyao San, expand the application scope of the Eff-iEC method, and offer valuable insights and methodological references for the comparative evaluation of multifunctional TCM formulas.

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