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. Author manuscript; available in PMC: 2021 Jan 20.
Published in final edited form as: Br J Nutr. 2015 Nov 2;115(1):68–74. doi: 10.1017/S0007114515004249

Intake of dietary antioxidants is inversely associated with biomarkers of oxidative stress among men with prostate cancer

Terrence M Vance 1, Gissou Azabdaftari 2, Elena A Pop 2, Sang Gil Lee 1, L Joseph Su 3, Elizabeth T H Fontham 4, Jeannette T Bensen 5, Susan E Steck 6, Lenore Arab 7, James L Mohler 2,5, Ming-Hui Chen 8, Sung I Koo 1, Ock K Chun 1,*
PMCID: PMC7817245  NIHMSID: NIHMS1659792  PMID: 26521663

Abstract

Prostate cancer is the most common non-cutaneous cancer and the second leading cause of cancer-related mortality among men in the USA. Growing evidence suggests that oxidative stress is involved in the development and progression of prostate cancer. In this study, the association between antioxidants from diet and supplements and biomarkers of oxidative stress in blood (n 278), urine (n 298) and prostate tissue (n 55) were determined among men from the North Carolina-Louisiana Prostate Cancer Project. The association between antioxidant intake and oxidative stress biomarkers in blood and urine was determined using linear regression, adjusting for age, race, prostate cancer aggressiveness and smoking status. Greater antioxidant intake was found to be associated with lower urinary 8-isoprostane concentrations, with a 10 % increase in antioxidant intake corresponding to an unadjusted 1·1 % decrease in urinary 8-isoprostane levels (95 % CI −1·7, −0·3 %; P value <0·01) and an adjusted 0·6 % decrease (95 % CI −1·4, 0·2 %; P value=0·16). In benign prostate tissue, thioredoxin 1 was inversely associated with antioxidant intake (P=0·02). No significant associations were found for other blood or urinary biomarkers or for malignant prostate tissue. These results indicate that antioxidant intake may be associated with less oxidative stress among men diagnosed with prostate cancer.

Keywords: Prostate cancer, Diets, Antioxidants, Oxidative stress


Prostate cancer is the most common non-cutaneous cancer and the second leading cause of cancer-related mortality in men in the USA, with an estimated 220 800 new cases and 27 540 deaths in 2015(1). The specific causes of prostate cancer have not yet been determined, but several risk factors have been identified for the disease – namely, family history, age and race(2,3). However, the mechanisms by which these and other risk factors, such as lifestyle, contribute to prostate cancer are not clear, and there is likely a great degree of heterogeneity in the causes of the disease.

At the cellular level, a growing body of evidence indicates that oxidative stress is involved in prostate carcinogenesis(4). Reactive oxygen species (ROS) can promote carcinogenesis by causing oxidative damage to DNA and macromolecules within cells, altering signal transduction pathways, and promoting a malignant phenotype(4). Furthermore, antioxidant enzyme genotype has been associated with cancer risk(5), and prostate cancer risk may be modified by interactions between antioxidant enzyme genotype and dietary antioxidants(6,7). Men diagnosed with prostate cancer have been shown to have greater oxidative stress, lower antioxidant enzyme activity(8) and greater levels of urinary isoprostanes – a biomarker of oxidative stress and lipid peroxidation(9,10). Furthermore, in vitro experiments have implicated the production of ROS in the aggressiveness of prostate cancer cells(11). Thus, relatively consistent evidence suggests an association between oxidative stress and prostate cancer.

Oxidative stress is regulated in both benign and malignant cells via several non-enzymatic and enzymatic antioxidant mechanisms(4). Malignant cells have greater levels of ROS and compensatory increases in antioxidant enzymes in order to tolerate increased oxidative stress(12). However, the evidence for a relationship between dietary antioxidants and prostate cancer is inconsistent in humans(13), which is partly due to the relatively small number of dietary antioxidants studied and their diversity in structure and possible mechanisms of action. Dietary antioxidants such as flavonoids have been shown to reduce oxidative damage(14) and promote DNA repair(15) in prostate cancer cells in vitro. Thus, dietary antioxidants could have some effect on prostate cancer, possibly by affecting oxidative stress.

The discrepant findings regarding prostate cancer and dietary antioxidants prompted this study of dietary antioxidant intake using a cumulative index of the antioxidant capacity of diet and supplements(16). A cumulative measure of antioxidant intake from diet and supplements may circumvent issues of multiplicity in associations between individual dietary antioxidants and disease risk. Such an estimate of dietary antioxidant intake has been studied recently with regard to prostate cancer incidence(17); however, little is known about the relationship between dietary antioxidants and levels of oxidative stress among prostate cancer patients. Therefore, the objectives of this study were to measure the dietary antioxidant intake and biomarkers of oxidative stress of men diagnosed with incident prostate cancer and to determine whether antioxidant intake is inversely related to oxidative stress.

Methods

The present study used data collected by the North Carolina-Louisiana Prostate Cancer Project (PCaP), a population-based study of incident prostate cancer(18). In brief, men between 40 and 79 years of age with a first diagnosis of histologically confirmed adenocarcinoma of the prostate on or after 1 July 2004, were eligible to participate in the PCaP. Men had to be able to complete the study interview in English and could not live in an institution or nursing home, be cognitively impaired, under the influence of alcohol, severely medicated or apparently psychotic. Men must have self-identified as either African-American or black or Caucasian or white when responding to the question ‘What is your race?’ This project was approved by the institutional review boards at the Department of Defense Prostate Cancer Research Program, the University of North Carolina and Louisiana State University. The institutional review board at the University of Connecticut also approved this study.

Dietary antioxidants

Dietary data were collected using a modified version of the National Cancer Institute Diet History Questionnaire (DHQ)(19), which assessed average daily dietary intake for 1 year before diagnosis, and supplement data were collected via a questionnaire administered by a PCaP nurse. Data regarding flavonoid and proanthocyanidin contents of foods were added to the DHQ database using Nutrition Data System for Research, version 2011 (Nutrition Coordinating Center, University of Minnesota). The 2,2′-azino-bis(3-ethylbenzothiazoline-6-sulphonic acid) (ABTS) radical anion scavenging activity assay was used previously to measure the vitamin C equivalent (VCE) antioxidant capacities of individual antioxidants(20) and the values were applied to the PCaP diet and supplement data. Antioxidant intake was calculated from the VCE antioxidant capacity of forty-two dietary antioxidants (carotenoids, vitamins C and E, flavonoids, proanthocyanidins and isoflavones) and five antioxidants from dietary supplements (vitamin C, α-tocopherol, β-carotene, lycopene, and lutein and zeaxanthin).

Blood and urinary biomarkers of oxidative stress

Urine, erythrocyte, plasma and tissue samples were available from 298, 271, 279 and fifty-nine men, respectively, and these samples were collected from men who reported not having undergone any treatment for their prostate cancer, as it was thought that treatment might influence reporting of dietary recall or oxidative stress. Blood and urine samples were collected from PCaP research subjects at the time of interview, centrifuged, aliquoted and stored at −80°C until analysis. The activities of erythrocyte glutathione peroxidase, glutathione S-transferase, glutathione reductase and superoxide dismutase, as well as the concentrations of plasma malondialdehyde and urinary 8-isoprostane and creatinine, were measured using commercial kits (Cayman Chemical Company) according to the manufacturer’s instructions. Plasma antioxidant capacity was measured using the ABTS radical anion scavenging activity assay. In brief, 2,2′-azobis(2-amidinopropane) HCl and ABTS were dissolved in potassium phosphate buffer solution and heated to 70°C for 30 min. The mixture was then cooled to room temperature and diluted to reach an absorbance of 0·650±0·020 at 734 nm. This solution was added to the plasma samples, and the absorbance was measured at 734 nm after 10 min. Plasma antioxidant capacity was calculated in VCE using a vitamin C standard curve.

Prostate tissue thioredoxin 1

Paraffin-embedded prostate tissue biopsy specimens were selected from PCaP research subjects who were untreated at the time of sample collection to provide an approximately equal proportion of subjects by site, race and aggressiveness level to yield a subsample of fifty-nine tissue sections (5-μm thickness) for analysis. Sections were deparaffinised, rehydrated under an alcohol gradient and antigen retrieved using Reveal Decloaker (Biocare Medical) for 15 min at 110°C in a Decloaking Chamber (Biocare Medical). Sections were blocked for endogenous peroxidase activity using 3 % H2O2, rinsed with deionised, distilled water for 10 min at room temperature, blocked with normal goat serum for 1 h and incubated overnight at 4°C with rabbit anti-thioredoxin 1 (1:1000; Cell Signaling). The next day, sections were incubated for 30 min at room temperature with Rabbit SignalStain Boost IHC Reagent, the enzymatic activity was revealed using diaminobenzidine (Sigma-Aldrich), counterstained with haematoxylin (Vector Laboratories) and mounted using a permanent mounting medium. Images of the stained sections were collected using a Leica DFC0425C camera (Leica) mounted on a Leica DMRA2 microscope (Leica) equipped with an automated stage. Prostate cancer Gleason’s scores of all the biopsy sections were determined by a genitourinary pathologist (G. A.). Levels of thioredoxin 1 (Trx1) in benign and malignant tissue were visually scored by GA in a blinded manner. Slides were scored from 0 to 3, with 0 indicating absence of staining and 1 through 3 indicating greater intensity of staining.

A total of fifty-nine prostate biopsy specimens were randomly selected for analyses. Some of the samples were excluded from the analyses because sections that contained malignant tissue were unavailable for four biopsies and sections containing benign tissue were unavailable for three biopsies. The final number of prostate biopsy specimens used for the analyses of Trx1 were fifty-five malignant tissue and fifty-four benign tissue samples.

Statistical analyses

All the statistical analyses were performed using SAS software, version 9.3 (SAS Institute Inc.). Men were ranked into three groups based on dietary antioxidant intake, and descriptive statistics are reported for each group (Tables 1 and 2). Antioxidant intake was adjusted for average energy intake using the residual method(21). Linear regression was used to determine the association between antioxidant intake from diet and supplements and biomarkers of oxidative stress, adjusting for average energy intake, age, race, prostate cancer aggressiveness and smoking status. On the basis of residual plots, antioxidant intake, plasma glutathione S-transferase activity, erythrocyte glutathione reductase activity and urinary 8-isoprostane levels were log transformed to improve linearity. As for all regression models antioxidant intake was log transformed, the associations between intake of antioxidants and biomarkers are reported as the predicted change in the biomarker for a 10 % increase in dietary antioxidants. As the range of antioxidant intake might differ between supplement users and non-users and as supplement use might be associated with other confounders, we tested for an interaction between antioxidant intake and an indicator variable that dichotomised supplement users and non-users. This interaction allows for testing whether the association between antioxidant intake and biomarkers differs between supplement users and non-users. The association between Trx1 and categories of antioxidant intake was determined using Fisher’s exact test. For all the analyses, a P value of <0·05 was used to determine statistical significance.

Table 1.

Socio-demographic and clinical characteristics by tertile (T) of antioxidant intake

(Numbers and percentages)

Antioxidant intake
T1
T2
T3
n % n % n %
Age (years)
 <50 6 46·2 4 30·8 3 23·1
 51–60 24 34·3 22 31·4 24 34·3
 61–70 25 29·4 27 31·8 33 38·8
 >70 11 20 24 43·6 20 36·4
Race
 White 32 26·9 38 31·9 49 41·2
 Black 34 32·7 39 37·5 31 29·8
BMI
 Normal 16 36·4 16 36·4 12 27·3
 Overweight 26 28 34 36·6 33 35·5
 Obese 24 27·9 27 31·4 35 40·7
Smoking history
 Non-smoker 16 21·6 27 36·5 31 41·9
 Former smoker 35 31·8 35 31·8 40 36·4
 Smoker 15 38·5 15 38·5 9 23·1
Aggressiveness*
 Low 43 28·7 51 34 56 37·3
 Intermediate 16 31·4 19 37·3 16 31·4
 High 7 31·8 7 31·8 8 36·4
PSA test
 Yes 44 25·6 57 33·1 71 41·3
 No 22 43·1 20 39·2 9 17·6
Fandly history
 Yes 10 41·7 4 16·7 10 41·7
 No 56 28·1 73 36·7 70 35·2

PSA, prostatic-specific antigen.

*

High aggressive defined as Gleason’s sum ≥8 or PSA>20 ng/mi or Gleason’s sum= 7 and clinical stage T3–T4; low aggressive as Gleason’s sum <7 and clinical stage T1–T2 and PSA<10 ng/ml; all other cases were defined as intermediate aggressive.

Defined as having at least one relative diagnosed with prostate cancer before 60 years of age.

Table 2.

Antioxidant biomarkers by tertile (T) of antioxidant intake

(Medians and interquartile ranges (IQR))

Antioxidant intake
T1
T2
T3
Median IQR Median IQR Median IQR
Plasma
 TAC (mg VCE/I) 63·9 57·9, 70·0 63·8 53·0, 69·9 63·1 53·5, 68·8
 MDA (μM) 207·7 170·9, 243·5 209·2 177·5, 238·7 197·7 170·2, 255·6
 GST activity (nmol/min per ml) 14·4 13·0, 16·3 15·3 12·4, 17·5 15·9 13·9, 18·3
Erythrocytes
 GST activity (nmol/min per ml) 46·1 33·4, 61·6 44·9 27·2, 66·6 43·3 25·8, 63·2
 GPx activity (nmol/min per ml) 764·1 438·1, 985·7 745·0 483·9, 995·8 841·8 556·8, 1031·5
 GR activity (nmol/min per ml) 207·8 151·8, 290·3 223·1 170·6, 285·3 224·1 157·9, 309·2
 SOD activity (U/ml)* 76·3 69·8, 78·8 73·2 68·9, 78·8 74·7 69·4, 78·8
Urine
 8-Isoprostane (ng/mmol creatinine) 140·0 103·1, 195·5 121·2 85·2, 193·5 116·2 82·5, 151·8

TAC, total antioxidant capacity; VCE, vitamin C equivalents; MDA, malondialdehyde; GST, glutathione S-transferase; GPx, glutathione peroxidase; GR, glutathione reductase; SOD, superoxide dismutase.

*

One unit of SOD is defined as the amount of enzyme needed to exhibit 50% dismutation of the superoxide radical.

Results

The range in antioxidant intake (mg VCE/d) among men in tertiles was 61–388 for tertile 1, 389–804 for tertile 2 and 829–4895 for tertile 3. Descriptive statistics for research subjects are presented in Table 1. A greater proportion of white, older and overweight and obese men, as well as men who reported having a prostatic-specific antigen test, reported greater antioxidant intake. The median levels of biomarkers by dietary antioxidant intake are reported in Table 2. Plasma malondialdehyde was the lowest and erythrocyte glutathione peroxidase activity was the highest among men in the highest tertile of antioxidant intake. Urinary 8-isoprostane level was inversely associated with dietary antioxidant intake, with levels of 8-isoprostane decreasing across tertiles.

In linear regression models of antioxidant intake predicting biomarkers of oxidative stress, there was no statistically significant interaction between supplement use and antioxidant intake in both unadjusted and adjusted analyses, which indicates that the association between antioxidant intake and biomarkers did not significantly differ between users and non-users of dietary supplements. There was little evidence of an association between dietary antioxidant intake and biomarkers from plasma or erythrocytes (Table 3). In unadjusted analyses, urinary 8-isoprostane was significantly associated with antioxidant intake, with a 10 % increase in antioxidant intake corresponding to a 1·1 % decrease in urinary 8-isoprostane (95 % CI −1·9, −0·3%; P value <0·01). After adjusting for age, race, aggressiveness and smoking status, this association was no longer statistically significant; however, the direction of the association was similar, with a 10 % increase in antioxidant intake associated with a 0·6 % decrease in urinary 8-isoprostane (95 % CI −1·4, 0·2%; P value=0·16). After adjustment, there was some evidence of a weak inverse association between antioxidant intake and erythrocyte glutathione S-transferase activity, with a 10 % increase in antioxidant intake corresponding to a predicted decrease in erythrocyte glutathione S-transferase activity of 0·5 (95 % CI −1·0, 0·0 nmol/min per ml; P value=0·05). There was no evidence of an association between Trx1 in malignant prostate tissue and dietary antioxidant intake (P value=0·90) (Table 4); however, there was evidence of an inverse association between antioxidant intake and Trx1 in benign prostate tissue (P value=0·02).

Table 3.

Association between oxidative stress biomarkers and dietary antioxidants from linear regression

(Changes and 95% confidence intervals)

Unadjusted
Adjusted*
Biomarkers Change 95% CI P Change 95 % CI P
Plasma
TAC (mg VCE/I) 0·0 −0·2, 0·2 0·81 −0·1 −0·3, 0·1 0·32
 MDA (μM) 0·3 −0·6, 1·3 0·49 0·4 −0·6, 1·5 0·43
 GST activity (nmol/min per ml) 0·3% −0·1, 0·8% 0·15 0·3% −0·2, 0·8% 0·18
Erythrocytes
 GST activity (nmol/min per ml) −0·3 −0·8, 0·2 0·18 −0·5 −1·0, 0·0 0·05
 GPx activity (nmol/min per ml) 4·9 −0·8, 10·6 0·09 3·7 −2·4, 9·9 0·24
 GR activity (nmol/min per ml) 0·0% −0·8, 0·9% 0·94 −0·3% −1·2, 0·6% 0·55
 SOD activity (U/ml) 0·0 −0·1, 0·2 0·63 0·0 −0·2, 0·2 0·73
Urine
 8-Isoprostane (ng/mmol creatinine) −1·1% −1·9, −0·3% <0·01 −0·6% −1·4, 0·2% 0·16

TAC, total antioxidant capacity; VCE, vitamin C equivalents; MDA, malondialdehyde; GST, glutathione S-transferase; GPx, glutathione peroxidase; GR, glutathione reductase; SOD, superoxide dismutase.

*

Adjusted for age, race, aggressiveness and smoking status.

Predicted change in biomarker for a 10% increase in dietary antioxidants.

Table 4.

Thioredoxin 1 (Trx1) levels in malignant and benign tissue by tertile (T) of antioxidant intake*

(Numbers and percentages)

Antioxidant intake
T1
T2
T3
n % n % n % P
Malignant Trx1
 0 0 0·0 2 33·3 2 66·7 0·90
 1 3 28·6 3 42·9 2 28·6
 2 8 35·0 8 25·0 8 40·0
 3 5 33·3 7 26·7 7 40·0
Benign Trx1
 0 0 0·0 2 100·0 0 0·0 0·02
 1 10 30·8 13 34·6 9 34·6
 2 3 20·0 4 20·0 10 60·0
 3 3 100·0 0 0·0 0 0·0
*

Trx1 data from this sample has been published in Vance et al.(22).

P value from Fisher’s exact test.

Discussion

Men with prostate cancer have been found to have low blood levels of dietary antioxidants(23), decreased activity of endogenous antioxidant enzymes and increased levels of lipid peroxidation(8,24). These findings could indicate either greater oxidative stress, resulting in depletion of antioxidants, or lower levels of antioxidants, resulting in increased oxidative stress and lipid peroxidation. Furthermore, levels of antioxidants in the blood may interact with genetic variants of cyclo-oxygenase-2 and IL-8, which are involved in inflammation(25), and human oxoguanine glycosylase 1 and X-ray repair cross-complementing group 1, which are involved in repairing DNA damage(7,26). Thus, it is plausible that dietary antioxidants may influence prostate cancer development and progression with oxidative stress-mediated damage.

The present study was unable to establish the direction of cause and effect, due to its cross-sectional design. However, the significant, inverse associations between dietary antioxidants and levels of urinary 8-isoprostane suggest that the oxidative stress of men with prostate cancer may in part depend on diet. This may indicate that men with greater intake of dietary antioxidants have greater inhibition of free radicals and subsequently less lipid peroxidation(27). It is also possible that the inverse association observed may reflect some non-antioxidant mechanisms of dietary components assumed to function as antioxidants in vivo. There was no observed difference in this association among men with different levels of prostate cancer aggressiveness (data not shown). This, combined with the limitations inherent to a cross-sectional study, does not allow for the determination of whether the association between diet and oxidative stress observed among these men will reflect meaningful clinical outcome measures, such as disease progression and mortality.

There was little or no evidence of an association between antioxidant intake and the activity of plasma or erythrocyte antioxidant enzymes, and the association between dietary antioxidants and erythrocyte glutathione S-transferase could be due to chance. There are several explanations for this absence of effect. Arsova-Sarafinovska et al.(8) found that erythrocyte antioxidant enzyme activity was decreased in prostate cancer patients compared with controls. As the present study included only men diagnosed with prostate cancer, differences between healthy men and those with prostate cancer may be greater than differences among men with prostate cancer. Other studies have demonstrated that polymorphisms in the genes of antioxidant enzymes are related to prostate cancer(5,6); antioxidant enzyme activity, as assessed in this study, may not be sensitive enough to capture functional differences in antioxidant enzymes that result from differences in amino acid sequences. Furthermore, antioxidants in plasma or erythrocytes may not reflect prostate tissue antioxidant activity. The null finding regarding diet and malondialdehyde could reflect the method of measurement. Malondialdehyde was measured using the thiobarbituric acid reactive substances method, which may not be a sensitive measure of lipid peroxidation and oxidative stress(28).

The primary strength of this study was the use of a prostatic biomarker to assess prostate tissue redox status. Trx1 in benign prostate tissue was found to be inversely associated with antioxidant intake (Table 4). Trx1 is thought to be involved in prostate carcinogenesis and may indicate redox imbalance in prostate cancer(29). Thioredoxin reductase 1 (TrxR1) transfers electrons from NADPH to Trx1, a process that occurs in most living cells and is essential for the maintenance of cellular redox status(30). Both Trx1 and TrxR1 are increased in prostate cancer cells(29,31), with a greater proportion of Trx1 in an oxidised state, which may reflect redox imbalance and response to greater levels of oxidative stress. Expression of TrxR1, the enzyme responsible for maintaining Trx1 in a reduced form, has been shown to be increased in castration-resistant prostate cancer(31). Reduced Trx1 binds to apoptosis signal-regulating kinase 1 and regulates cell death(32); thus, redox imbalance may promote cancer cell survival. Taken together, greater levels of Trx1 correspond to more aggressive forms of prostate cancer. The inverse association between antioxidant intake and Trx1 requires further research to determine whether this association might affect disease severity or progression, particularly given the relatively small number of tissue samples analysed in this study. Relatively few studies have been conducted on the thioredoxin system and prostate cancer; moreover, although this system appears to play an important role in prostate cancer, the extent to which this system affects prostate cancer development and progression in humans remains uncertain.

The present study has several limitations. The cross-sectional design of the study prohibits establishing a cause–effect relationship between antioxidant intake and urinary 8-isoprostane and prostate tissue Trx1. Dietary data were collected after diagnosis and knowledge of disease may have biased responses by research subjects, although this would likely have been non-differential. The number of research subjects included in the study was relatively low, particularly with regard prostate tissue Trx1, which should be taken into consideration when interpreting these results. The apparent inverse association between antioxidant intake and Trx1 in benign prostate tissue is tenuous based on available evidence. One interpretation of the current data is that greater antioxidant intake reduces oxidative stress, thereby inhibiting the activation of nuclear factor (erythroid-derived 2)-like 2 and its promotion of Trx1 transcription(33). However, we did not measure the proportion of oxidised and reduced Trx1 in prostate tissue, and this additional data would have shed light on the observed associations with Trx1 in the present study and oxidative stress(29). Additional work is needed to confirm this association and determine whether intake of antioxidants can influence the oxidation state of Trx1 and oxidative stress in the prostate, and whether these effects influence relevant clinical outcomes such as prostate cancer mortality.

This study demonstrated that intake of antioxidants was associated with less oxidative stress among men with incident prostate cancer. The results of this study and others warrant additional research in humans on the mechanisms underlying the relationship between dietary antioxidants and prostate tissue redox status and carcinogenesis, as well as determining whether this relationship may influence disease severity, progression and recurrence.

Acknowledgements

The authors thank the staff, advisory committees and research subjects participating in the North Carolina-Louisiana Prostate Cancer Project study for their important contributions. The authors thank John Stocking and Sarah McEvoy for technical assistance with immunostaining. The authors acknowledge the Roswell Park Cancer Institute Department of Urology Tissue Microarray and Immuno-Analysis Core for the tissue processing, storage and sample disbursement and acknowledge the University of North Carolina Biospecimen Facility and the Louisiana State University Health Sciences Center Pathology Laboratory for the blood sample processing, storage and sample disbursement (https://genome.unc.edu/bsp).

This study was supported by the National Institutes of Health Cancer Epidemiology small grant no. 1R03CA159421-01A1 and Department of Defense contract DAMD 17-03-2-0052.

Abbreviations:

PCaP

North Carolina-Louisiana Prostate Cancer Project

Trx1

thioredoxin 1

Footnotes

The authors have no conflicts of interest regarding this manuscript.

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