Weibull function to describe the cumulative size distribution of clumps formed by two-dimensional grains randomly arranged on a plane.

Many manifestations of natural processes give rise to interesting morphologies; it is all too easy to cite the corrugation of the Earth's surface or of planets in general. However, limiting ourselves to 2D cases, the morphology to which crystal growth gives rise is also intriguing. In particular, it is interesting to study some characteristics of the cluster projection in 2D, namely the study of the shapes of the speckles (fractal dimension of their rims) or the distribution of their areas. Recently, for instance, it has been shown that the size cumulative distribution function (cdf) of "voids" in a corrole film on Au(111) is well described by the well known Weibull distribution. The present article focuses on the cdf of cluster areas generated by numerical simulations: the clumps (clusters) are generated by overlapping grains (disks) whose germs (disk centers) are chosen randomly in a 2000×2000 square lattice. The obtained cdf of their areas is excellently fitted to the Weibull function in a given range of surface coverage. The same type of analysis is also performed for a fixed-time clump distribution in the case of Kolmogorov-Johnson-Mehl-Avrami (KJMA) kinetics. Again, a very good agreement with the Weibull function is obtained.

Moderate penetrance genes complicate genetic testing for breast cancer diagnosis: ATM, CHEK2, BARD1 and RAD51D.

Breast cancer risk associated with germline likely pathogenic/pathogenic variants (PV) varies by gene, often by penetrance (high >50% or moderate 20-50%), and specific locus. Germline PVs in BRCA1 and BRCA2 play important roles in the development of breast and ovarian cancer in particular, as well as in other cancers such as pancreatic and prostate cancers and melanoma. Recent studies suggest that other cancer susceptibility genes, including ATM, CHEK2, PALB2, RAD51C and RAD51D confer differential risks of breast and other specific cancers. In the era of multigene panel testing, advances in next-generation sequencing technologies have notably reduced costs in the United States (US) and enabled sequencing of BRCA1/2 concomitantly with additional genes. The use of multigene-panel testing is beginning to expand in Europe as well. Further research into the clinical implications of variants in moderate penetrance genes, particularly in unaffected carriers, is needed for appropriate counselling and risk management with data-driven plans for surveillance and/or risk reduction. For individuals at high risk without any pathogenic or likely pathogenic variant in cancer susceptibility genes or some carriers of pathogenic variants in moderate-risk genes such as ATM and CHEK2, polygenic risk scores offer promise to help stratify breast cancer risk and guide appropriate risk management options. Cancer patients whose tumours are driven by the loss of function of both copies of a predisposition gene may benefit from therapies targeting the biological alterations induced by the dysfunctional gene e.g. poly ADP ribose polymerase (PARP) inhibitors and other novel pathway agents in cancers with DNA repair deficiencies. A better understanding of mechanisms by which germline variants drive various malignancies may lead to improvements in both therapeutic and preventive management options.

Thymic carcinoma with Lynch syndrome or microsatellite instability, a rare entity responsive to immunotherapy.

IMPORTANCE: Thymic carcinoma (TC) is a rare aggressive tumour occurring in adults characterised by one of the lowest tumor mutational burdens (TMB). Microsatellite instability (MSI) is a mutational signature, caused by defects in the DNA MisMatch Repair (MMR) system, that predicts benefit from immunotherapy and causes high TMB. Fragmentary and unstructured evidence of these conditions co-occurring are reported in literature. OBJECTIVE: Review available data on the co-occurrence of these two conditions and determine its frequency in our institute case series. DESIGN: We performed a systematic analysis of literature and a retrospective evaluation of all the cases of TET treated at our institution from 2000 to 2020, selecting patients with a medical history of multiple tumours to enhance a priori probability of identifying cases with underlying predisposition. RESULTS: Literature yielded 3 cases of patients with MSI TC, for which MMR gene alteration was reported. None of them received immunotherapy. Of 366 patients with TETs treated in our institute, 32 had a medical history of multiple tumours and 25 of 32 (19 thymomas and 6 TCs) had available tissue for MMR analysis. One patient with TC showed a high TMB, and MSI due to MLH1 mutation and was treated in a phase II study with avelumab and axitinib combination obtaining a long-lasting partial response. MLH1 alterations are shared across MSI TC cases. CONCLUSIONS AND RELEVANCE: This analysis highlights the usefulness of MSI testing in patients with TC. The observation of cases of TC occurring in patients with Lynch syndrome and the unexpected homogeneity of gene alterations support further investigation.

Erratum: Why vitamin D for cancer patients?

[This corrects the article on p. 1 in vol. 3.].

The prevalence and clinical relevance of tumor-infiltrating lymphocytes (TILs) in ductal carcinoma in situ of the breast.

Background: Tumor-infiltrating lymphocytes (TILs) are a robust prognostic adjunct in invasive breast cancer, but their clinical role in ductal carcinoma in situ (DCIS) has not been ascertained. Patients and methods: We evaluated the prevalence and clinical relevance of TILs in a well annotated series of 1488 consecutive DCIS women with a median follow-up of 8.2 years. Detailed criteria for TILs evaluation were pre-defined involving the International Immuno-Oncology Biomarker Working Group. TILs percentage was considered both as a continuous and categorical variable. Levels of TILs were examined for their associations with ipsilateral breast event (IBE), whether in situ or invasive. Results: Of the 1488 patients with DCIS under study, 35.1% had <1%, 58.3% 1-49% and 6.5% ≥50% peri-ductal stromal lymphocytes. The interobserver agreement in TILs evaluation, measured by the intraclass correlation coefficient (ICC) was 0.96 (95% CI 0.95-0.97). At univariable analysis, clinical factors significantly associated with TILs (P ≤0.001) were intrinsic subtype, grade, necrosis, type of surgery. Her-2 positive DCIS were more frequently associated with TILs (24% of patients with TILs ≥50%), followed by the triple negative (11%), Luminal B/Her-2 positive (9%) and Luminal A/B subtypes (1%) (P < 0.0001). We did not find any association between TILs as a continuous variable and the risk of IBEs. Likewise, when patients were stratified by TILs percentage (<1%, between 1% and 49.9%, and ≥50%), no statistically significant association was observed (10-year cumulative incidence of IBEs: 19%, 17.3%, and 18.7% respectively, P = 0.767). Conclusion: TILs occur more frequently in the Her-2 positive DCIS. Although we did not find a significant association between TILs and the 10-year risk of IBE, our data suggest that immunotherapies might be considered in subsets of DCIS patients.

Chemoprevention studies within lung cancer screening programmes.

While aggressive tobacco control and help to stop smoking are essential weapons in the fight against lung cancer, screening with low-dose computed tomography (LDCT) in high-risk populations and chemoprevention may also contribute to reducing lung cancer deaths. Persons undergoing LDCT screening are an ideal population to be tested for agents potentially able to prevent the development of lung cancer by the regression of precancerous lesions, which are routinely monitored as part of the screening process. Peripheral subsolid nodules appear as particularly suitable targets, since many are adenocarcinoma precursors. A study on inhaled budesonide (a potential chemopreventive drug) for 1 year found that the mean size of non-solid lung nodules was significantly reduced over 5 years of follow-up, compared to inhaled placebo, in a population of high-risk individuals with indeterminate lung nodules not requiring immediate specific investigation for lung cancer and detected as part of a lung cancer screening program with LDCT. A new randomised placebo-controlled phase-II trial to test the ability of aspirin to induce the regression of non-solid and partially solid nodules detected by LDCT screening has been started. The effect of aspirin on a miRNA signature able to predict the presence of both cancer and precancerous lesions in high-risk asymptomatic individuals is also being monitored in the trial. This signature was previously shown to predict the presence of both lung cancer and non-solid lung nodules in asymptomatic individuals.

Long-term effects of inhaled budesonide on screening-detected lung nodules.

BACKGROUND: A previously carried out randomized phase IIb, placebo-controlled trial of 1 year of inhaled budesonide, which was nested in a lung cancer screening study, showed that non-solid and partially solid lung nodules detected by low-dose computed tomography (LDCT), and not immediately suspicious for lung cancer, tended to regress. Because some of these nodules may be slow-growing adenocarcinoma precursors, we evaluated long-term outcomes (after stopping the 1-year intervention) by annual LDCT. PATIENTS AND METHODS: We analyzed the evolution of target and non-target trial nodules detected by LDCT in the budesonide and placebo arms up to 5 years after randomization. The numbers and characteristics of lung cancers diagnosed during follow-up were also analyzed. RESULTS: The mean maximum diameter of non-solid nodules reduced significantly (from 5.03 mm at baseline to 2.61 mm after 5 years) in the budesonide arm; there was no significant size change in the placebo arm. The mean diameter of partially solid lesions also decreased significantly, but only by 0.69 mm. The size of solid nodules did not change. Neither the number of new lesions nor the number of lung cancers differed in the two arms. CONCLUSIONS: Inhaled budesonide given for 1 year significantly decreased the size of non-solid nodules detected by screening LDCT after 5 years. This is of potential importance since some of these nodules may progress slowly to adenocarcinoma. However, further studies are required to assess clinical implications. CLINICAL TRIAL NUMBER: NCT01540552.

Risk of subsequent in situ and invasive breast cancer in human epidermal growth factor receptor 2-positive ductal carcinoma in situ.

BACKGROUND: To assess the prognostic role of human epidermal growth factor receptor 2 (HER2) overexpression in patients with ductal carcinoma in situ (DCIS). PATIENTS AND METHODS: We identified patients with HER2-positive DCIS among a population of 1667 cases, prospectively diagnosed and surgically treated at the European Institute of Oncology from 1996 to 2008. Rates of subsequent DCIS or invasive cancer in HER2-positive disease were estimated. We evaluated Cumulative Incidence of In Situ Breast Cancer Recurrence (isBCR), INvasive Breast Cancer Recurrence (IBCR) and any Breast Cancer Recurrence (BCR). isBCR, IBCR and BCR were defined as the time from surgery to breast cancer recurrence as first event (in situ, invasive or both, respectively) or last visit in case of no events. RESULTS: We identified 560 (33.5%) patients with HER2-positive DCIS. The median follow-up was 7.6 years (interquartile range 5.9-9.5). We observed 422 events out of 1667 patients, with 141 in situ recurrences, 201 invasive recurrences and 80 other events (64 second primaries and 16 deaths). The 10-year isBCR proportions were 11.8% [95% confidence interval (CI) 9.0% to 15.4%] in the HER2-positive group and 8.8% (95% CI 6.9% to 11.0%) in the HER2-negative group (Gray test, P = 0.010). At multivariable analysis, the adjusted risk of isBCR was higher in the HER2-positive group than in the HER2-negative group [hazard ratio (HR) HER2 positive versus negative: 1.59 (95% CI 1.06-2.39)]. We observed significant differences both in BCR and isBCR for patients treated by quadrantectomy without radiotherapy versus patients treated with radiotherapy [adjusted HR HER2 positive versus negative: 1.53 (95% CI 1.07-2.18) and adjusted HR HER2 positive versus negative: 2.18 (95% CI 2.18-3.69), respectively]. CONCLUSION: HER2 overexpression predicts an increased risk of isBCR. Radiotherapy reduces local failure rates in HER2-positive DCIS.

Association of molecular subtypes with Ki-67 changes in untreated breast cancer patients undergoing pre-surgical trials.

BACKGROUND: Ki-67 is increasingly being used as a response biomarker in window of opportunity, pre-surgical trials for breast cancer patients. Since Ki-67 is often higher at surgery than at baseline core biopsy in subjects allocated to placebo, we investigated which factors affected this change. PATIENTS AND METHODS: We retrieved data from 274 patients who received no active treatment in three consecutive pre-surgical trials from a single institution. We assessed the association between changes in Ki-67 from diagnostic biopsy to surgical specimen and the following factors: age, body mass index, tumor prognostic and predictive factors, including immunohistochemical molecular subtype, number and size of biopsy specimens, time from biopsy to surgery, circulating insulin-like growth factor-I, sex hormone-binding globulin and hsCRP. RESULTS: A total of 269 patients with paired measures of Ki-67 at biopsy and surgery were analyzed. Overall, the mean (±SD) change was 2.2 ± 9.2% after a median interval of 41 days (inter-quartile range 33-48). Molecular subtype was the only factor associated with a significant change of Ki-67 (P = 0.004), with a mean absolute increase of 5.3% [95% confidence interval (CI): 2.3-8.3, P = 0.0005] in estrogen receptor-negative HER2-positive tumors (n = 36) and 5.4% (95% CI: 2.9-7.9, P < 0.0001) in triple-negative tumors (n = 78). No significant change in luminal-A (n = 46), luminal-B (n = 85) and luminal-B HER2-positive (n = 24) tumors was observed. CONCLUSIONS: A significant increase in Ki-67 from baseline biopsy to end point surgery in untreated subjects was ascertained in HER2-positive and triple-negative tumors. This biological association suggests a real increase in cancer proliferation, possibly as a result of a biopsy-driven wound healing effect, and should be considered in the design and interpretation of pre-surgical studies. REGISTERED CLINICAL TRIAL NUMBERS: ISRCTN86894592; ISRCTN16493703.

Confinement effects in π-bonded chains at group IV semiconductor (111) surfaces.

The degree of 1D character of surface chains at group IV (111)-2 × 1 reconstructed surfaces is established by surface sensitive optical spectroscopy. Optical experiments on a diamond C(111)-2 × 1 surface show that the absorption peak related to dangling-bond transitions exhibits a marked blueshift upon oxygen exposure of the clean surface. Such behaviour is analogous to that observed on a clean Si(111)-2 × 1 surface. For both surfaces the experimental finding is interpreted in terms of quantum confinement of surface electrons in quasi-one-dimensional π-bonded chains, whose length decreases with oxygen uptake. A different behaviour is observed in Ge(111)-2 × 1, where only a very slight blueshift of the surface-state optical transition is detected upon oxidation. The almost negligible blueshift in Ge(111)-2 × 1 is consistent with a significant coupling between the π-bonded chains resulting in a much less pronounced one-dimensional character of Ge(111)-2 × 1 surface electrons compared to diamond and silicon reconstructed surfaces.

Acceptability of chemoprevention trials in high-risk subjects.

The development and current widespread acceptance of clinical trials is one of the major conceptual advances in research medicine introduced during the second half of the 20th century. Despite general agreement on the scientific merits of randomization, many patients and physicians are however reluctant to participate in randomized, controlled trials. If we focus on chemoprevention in healthy subjects, it is even more essential to evaluate the ethics, logistics, patient's and doctor's acceptability, acute and late toxic effect, patient accrual and compliance of treatment. Furthermore, the decision-making process about participating in a cancer chemoprevention trial is often poorly understood. Adherence to a cancer prevention trial requires in fact a strong sense of awareness and an ability to carefully assess risks and benefits. We review the main aspects in the chemo-preventive approach to patients at high risk for breast and ovarian cancer, focusing on different pharmacological risk reduction strategies, ongoing phase III chemoprevention studies in carriers of BRCA1/2 germline mutation, the psychological and clinical factors implicated in decision making about a trial, and the possible impact of the trial design on the overall acceptability and adherence.

The effect of metformin on apoptosis in a breast cancer presurgical trial.

BACKGROUND: Metformin has been associated with antitumour activity in breast cancer (BC) but its mechanism remains unclear. We determined whether metformin induced a modulation of apoptosis by terminal deoxynucleotidyl transferase dUTP nick end labelling (TUNEL) overall and by insulin resistance status in a presurgical trial. METHODS: Apoptosis was analysed in core biopsies and in surgical samples from 100 non-diabetic BC patients participating in a randomised trial of metformin vs placebo given for 4 weeks before surgery. RESULTS: Eighty-seven subjects (45 on metformin and 42 on placebo) were assessable for TUNEL measurement at both time points. TUNEL levels at surgery were higher than that at baseline core biopsy (P<0.0001), although no difference between arms was noted (metformin arm: median difference surgery-biopsy levels +4%, interquartile range (IQR): 2-12; placebo arm: +2%, IQR: 0-8, P=0.2). Ki67 labelling index and TUNEL levels were directly correlated both at baseline and surgery (Spearman's r=0.51, P<0.0001). In the 59 women without insulin resistance (HOMA index<2.8) ,there was a higher level of TUNEL at surgery on metformin vs placebo (median difference on metformin +4%, IQR: 2-14 vs +2%, IQR: 0-7 on placebo), whereas an opposite trend was found in the 28 women with insulin resistance (median difference on metformin +2%, IQR: 0-6, vs +5%, IQR: 0-15 on placebo, P-interaction=0.1). CONCLUSION: Overall, we found no significant modulation of apoptosis by metformin, although there was a trend to a different effect according to insulin resistance status, with a pattern resembling Ki67 changes. Apoptosis was significantly higher in the surgical specimens compared with baseline biopsy and was directly correlated with Ki67. Our findings provide additional evidence for a dual effect of metformin on BC growth according to insulin resistance status.

A phase-III prevention trial of low-dose tamoxifen in postmenopausal hormone replacement therapy users: the HOT study.

BACKGROUND: Postmenopausal hormone replacement therapy (HRT) relieves menopausal symptoms and may decrease mortality in recently postmenopausal women, but increases breast cancer risk. Low-dose tamoxifen has shown retained activity in phase-II studies. METHODS: We conducted a phase-III trial in 1884 recently postmenopausal women on HRT who were randomly assigned to either tamoxifen, 5 mg/day, or placebo for 5 years. The primary end point was breast cancer incidence. RESULTS: After 6.2 ± 1.9 years mean follow-up, there were 24 breast cancers on placebo and 19 on tamoxifen (risk ratio, RR, 0.80; 95% CI 0.44-1.46). Tamoxifen showed favorable trends in luminal-A tumors (RR, 0.32; 95% CI 0.12-0.86), in HRT users <5 years (RR, 0.35; 95% CI 0.15-0.82) and in women completing at least 12 months of treatment (RR, 0.49; 95% CI 0.23-1.02). Serious adverse events did not differ between placebo and tamoxifen, including, respectively, coronary heart syndrome (6 versus 4), cerebrovascular events (2 versus 5), VTE (2 versus 5) and uterine cancers (3 versus 1). Vasomotor symptoms were 50% more frequent on tamoxifen. CONCLUSIONS: The addition of low-dose tamoxifen to HRT did not significantly reduce breast cancer risk and increased climacteric symptoms in recently postmenopausal women. However, we noted beneficial trends in some subgroups which may deserve a larger study.

Tailoring treatment for ductal intraepithelial neoplasia of the breast according to Ki-67 and molecular phenotype.

BACKGROUND: The post-surgical management of ductal intraepithelial neoplasia (DIN) of the breast is still a dilemma. Ki-67 labelling index (LI) has been proposed as an independent predictive and prognostic factor in early breast cancer. METHODS: The prognostic and predictive roles of Ki-67 LI were evaluated with a multivariable Cox regression model in a cohort of 1171 consecutive patients operated for DIN in a single institution from 1997 to 2007. RESULTS: Radiotherapy (RT) was protective in subjects with DIN with Ki-67 LI ≥ 14%, whereas no evidence of benefit was seen for Ki-67 LI <14%, irrespective of nuclear grade and presence of necrosis. Notably, the higher the Ki-67 LI, the stronger the effect of RT (P-interaction <0.01). Hormonal therapy (HT) was effective in both Luminal A (adjusted hazard ratio (HR)=0.56 (95% CI, 0.33-0.97)) and Luminal B/Her2neg DIN (HR 0.51 (95% CI, 0.27-0.95)). CONCLUSION: Our data suggest that Ki-67 LI may be a useful prognostic and predictive adjunct in DIN patients. The Ki-67 LI of 14% could be a potential cutoff for better categorising this population of women at increased risk for breast cancer and in which adjuvant treatment (RT, HT) should be differently addressed, independent of histological grade and presence of necrosis.

Effect of low-dose tamoxifen after surgical excision of ductal intraepithelial neoplasia: results of a large retrospective monoinstitutional cohort study.

BACKGROUND: Postsurgical treatment of ductal intraepithelial neoplasia (DIN) with standard doses of tamoxifen has not reached a consensus yet. Given positive results of low-dose tamoxifen on breast cancer biomarkers modulation, we analyzed a large cohort of DIN patients treated with low-dose tamoxifen or no treatment as per institutional guidelines. PATIENTS AND METHODS: All consecutive women operated on at the European Institute of Oncology for estrogen receptor (ER)-positive DIN (474 treated with low-dose tamoxifen and 509 untreated patients) were followed up for a median of 7 years. RESULTS: Compared with untreated patients, a significant 30% reduction in breast cancer risk was observed on low-dose tamoxifen with an adjusted hazard ratio (HR) = 0.70 [95% confidence interval (CI) 0.51-0.94], with a greater benefit in postmenopausal (HR = 0.57; 95% CI 0.34-0.94) than in premenopausal women (HR = 0.79; 95% CI 0.54-1.17). Treated patients with ER and progesterone receptor (PgR) >50% DIN had a lower incidence of breast events than untreated ones (HR = 0.61; 95% CI 0.40-0.94), whereas no protective effect has been observed in patients with ER or PgR <50% DIN. Drug discontinuation resulted in a doubled risk of recurrence in premenopausal women only (HR = 1.95; 95% CI 0.98-3.89). No excess of endometrial cancer occurred. CONCLUSIONS: Low-dose tamoxifen is a promising and safe strategy for highly endocrine responsive DIN. Treatment adherence is crucial in premenopausal women. A definitive trial is ongoing.

Charge transfer between isomer domains on n+-doped Si(111)-2 × 1: energetic stabilization.

Domains of different surface reconstruction-negatively or positively buckled isomers-have been previously observed on highly n-doped Si(111)-2 × 1 surfaces by angle-resolved ultraviolet photoemission spectroscopy and scanning tunneling microscopy/spectroscopy. At low temperature, separate domains of the two isomer types are apparent in the data. It was argued in the previous work that the negative isomers have a lower energy of their empty surface states than the positive isomers, providing a driving force for the formation of the negative isomers. In this work we show that the relative abundance of these two isomers shows considerable variation from sample to sample, and it is argued that the size of the isomer domains is likely to be related to this variation. A model is introduced in which the electrostatic effect of charge transfer between the domains is computed, yielding total energy differences between the two types of isomer. It is found that the transfer of electrons from domains of positive isomers to negative ones leads to an energetic stabilization of the negative isomers. The model predicts a dependence of the isomer populations on doping that is in agreement with most experimental results. Furthermore, it accounts, at least qualitatively, for the marked lineshape variation from sample to sample observed in photoemission spectra.

Coexistence of negatively and positively buckled isomers on n+-doped Si(111) − 2 × 1.

A long-standing puzzle regarding the Si(111) − 2 × 1 surface has been solved. The surface energy gap previously determined by photoemission on heavily n-doped crystals was not compatible with a strongly bound exciton known from other considerations to exist. New low-temperature angle-resolved photoemission and scanning tunneling microscopy data, together with theory, unambiguously reveal that isomers with opposite bucklings and different energy gaps coexist on such surfaces. The subtle energetics between the isomers, dependent on doping, leads to a reconciliation of all previous results.