On the significance of in situ production of oestrogens in human breast cancer tissue

We have previously shown that human breast cancer is autonomous in the regulation of its intra-tissue oestradiol concentration. Breast fatty tissue does not have this capacity, but rather reflects changes in the peripheral oestradiol concentration. To further evaluate the relative contribution of breast cancer and fatty tissue to the maintenance of tumour oestradiol we investigated whether a tumour-directed gradient in aromatase activity and oestrogen levels existed in mastectomy specimens. No such gradient was found, however, for aromatase, oestrone, oestradiol and their sulphates. Aromatase activity (expressed per gram of tissue) and the concentrations of oestradiol, oestradiol sulphate and oestrone sulphate were higher in tumour than in breast fatty tissue. Fatty tissue had a higher oestrone concentration. It is tentatively concluded that breast tumour aromatase activity is more important for the maintenance of tumour oestradiol levels than aromatase in breast fatty tissue.     

Tissue androgens and the endocrine autonomy of breast cancer.

To evaluate whether a tumour-directed gradient in androgen levels in fatty tissue can account for the maintenance of intra-tissue oestradiol levels, androstenedione (Adione), dehydroepiandrosterone (DHEA), testosterone (Testo) and androstenediol (Adiol) were assayed in breast tumour tissues and in fatty tissue taken at different distances from the tumour. The concentration of Adione was significantly lower in tumour tissue (5.6 +/- 1.5 pmol/g tissue; mean +/- SEM; n = 14) than in the adjacent fatty tissue (20.4 +/- 2.2; P less than 0.005). Testo, by contrast, occurred in equal concentrations in tumour (0.80 +/- 0.11) and in adjacent fatty tissue (0.70 +/- 0.07). Adione levels tended to be lower after the menopause only in fatty tissue, not in the tumour tissue; for Testo no differences were observed between samples from pre- and postmenopausal patients. Tumour DHEA levels (57 +/- 12 pmol/g tissue) were lower than those in fatty tissue (117 +/- 17; P less than 0.02). As with Adione, fatty tissue DHEA concentrations tended to be higher in pre- than in postmenopausal patients. Adiol showed a similar pattern as Testo. For none of the aromatase substrates nor their precursors a tumour-directed gradient was observed. The concentration of Adione in breast cancer tissue is much lower than the reported Km of the aromatase system for Adione. We have concluded, therefore, that the maintenance of oestradiol concentrations in tumour tissues is not substrate-driven.     

Metabolism of [3H]oestradiol in vivo by normal breast and tumour tissue in postmenopausal women

Tumour and normal breast tissue was obtained from postmenopausal breast cancer patients following [3H]oestradiol infusion (50 mu Ci over a 12 h period). The fraction of radioactivity present as oestradiol or oestrone was measured and the results expressed both as the ratio of oestradiol-oestrone and as the percentage oestrogen present as oestrone, and the findings compared with in vitro measurements of 17 beta-hydroxysteroid dehydrogenase activity. Concentrations of 5-androstene-3 beta, 17 beta-diol, dehydroepiandrosterone and its sulphate and testosterone were measured and related to oestradiol metabolism. The study demonstrated that tumour tissue is less able to metabolise oestradiol to oestrone than is normal breast tissue and indicated that the ability of the tissue to detoxify oestradiol may be dependent on cofactor availability. The results also supported the possibility that increased tissue concentrations of adrenal androgens inhibit oestradiol and thus increase tissue exposure to oestradiol.     

Modulation of oestrone sulphatase activity in breast cancer cell lines by growth factors

Currently there is much interest in the role that growth factors may play in the development of human breast tumours. We have shown previously that growth factors secreted by breast tumours may influence the activity of oestradiol hydroxysteroid dehydrogenase, the enzyme which catalyses the interconversion of oestrone (E₁) and oestradiol. As the formation of E₁ from its sulphate (E₁S) by oestrone sulphatase may be quantitatively more important than production from androstenedione via aromatase, we have studied the effect of insulin-like growth factor-1 (IGF-I) and basic fibroblast growth factor (bFGF) on oestrone sulphatase activity in the hormone-dependent MCF-7 and the hormone-independent MDA-MB-231 breast cancer cell lines. In both these cell types, bFGF (1–200 ng/ml) and IGF-I (25–200 ng/ml) significantly stimulated oestrone sulphatase activity in a dose-dependent manner (by 8–60%) after 48 h. Additionally, cycloheximide significantly inhibited (by 90–120%) this stimulation of oestrone sulphatase activity by the two growth factors in both MCF-7 and MDA-MB-231 cells. Basal oestrone sulphatase activity was higher in the oestrogen receptor, ER - ve MDA-MB-231 cells than in the ER + ve MCF-7 breast cancer cells. We conclude that these growth factors, believed to be secreted by breast tumours, may induce enzymes of oestrogen synthesis and hence increase local production of oestrogens.     

The role of cytokines and sulphatase inhibitors in regulating oestrogen synthesis in breast tumours

Synthesis of oestrogens within breast tissues makes an important contribution to the high concentrations of oestradiol which are found in breast tumours. The activities of the enzymes involved in oestrogen synthesis, i.e. the aromatase, oestradiol dehydrogenase (E2DH) and oestrone sulphatase (E1-STS), can be stimulated by several growth factors and cytokines. As it is possible that some of these factors may be derived from cells of the immune system (macrophages and lymphocytes), the effects of basic fibroblast growth factor (bFGF) and interleukin-2 (IL-2), which are produced by these cells, on E2DH activity was examined in MCF-7 cells. Treatment of these cells with bFGF resulted in a dose-dependent increase in E2DH reductive activity whereas IL-2 was inactive at the concentration tested. To obtain further evidence that factors produced by macrophages and lymphocytes can modulate the activities of enzymes involved in oestrogen synthesis, conditioned medium was collected from these cells and found to stimulate both E1-STS and E2DH activities. In addition to understanding the control of oestrogen synthesis in breast tumours an inhibitor to block the synthesis of oestrone via the oestrone sulphatase pathway was developed. Oestrone-3-O-sulphamate (EMATE) is a potent, irreversible, inhibitor of E1-STS. A single dose of EMATE (10 mg/kg) inhibited tissue E1-STS activity in rats by more than 95% for up to 7 days, indicating that this compound may have considerable therapeutic potential for the treatment of breast cancer. Evidence is also reviewed that another steroid sulphatase, dehydroepiandrosterone sulphate sulphatase, may have a crucial role in regulating cytokine production and that this may indirectly control tumour oestrogen synthesis.     

Aromatase activity and concentrations of cortisol, progesterone and testosterone in breast and abdominal adipose tissue

Aromatase activity and concentrations of cortisol, progesterone and testosterone were measured in samples of breast and abdominal adipose tissue obtained from both pre- and postmenopausal subjects. Enzyme activity was determined by the incorporation of tritium from [1 beta-3H]androstenedione into water and found to be in close agreement to that measured when tritium labelled oestrone (E1) and oestradiol (E2) were isolated. No significant difference in enzyme activity was noted between breast and abdominal adipose tissue. Increased aromatase activity was not observed in adipose tissue taken from a subject with endometrial cancer. Cortisol concentrations were found to be significantly higher (P less than 0.05) in abdominal as compared to breast tissue. Without attaining statistical significance progesterone concentrations were higher in abdominal as compared to breast adipose tissue. Aromatase activity was not related to either cortisol or testosterone tissue concentration, but an inverse relationship between progesterone concentration and aromatase activity was observed (r = 0.542, P less than 0.02). On the basis of results obtained a hypothesis for the increased conversion of androgen to oestrogen as seen after the menopause has been proposed.     

Inhibition of oestrogen synthesis in postmenopausal women with breast cancer.

The effectiveness in reducing oestrogen exposure, of an aromatase inhibitor, and a sulphatase inhibitor, as measured by in vivo studies in breast cancer patients, has been investigated. 4-Hydroxyandrostenedione (4HA) was shown to diminish plasma oestrogen levels, to inhibit peripheral and local aromatization and to cause a concomitant decrease in the activity of DNA-polymerase-alpha, measured as an indicator of cellular proliferation. The source of oestrone sulphate in breast tissues was examined, and it was shown that the tissue content of this conjugate derived from circulating oestrone, but no evidence could be found for the direct accumulation of conjugate from the plasma. Administration of Danazol was found to cause a fall in plasma oestrone levels, and to diminish the conversion ratio of oestrone sulphate to oestrone in some patients. It also inhibited tissue sulphatase activity. Although it is concluded that this drug is only a weak sulphatase inhibitor, these observations indicate the potential value of developing more efficient sulphatase inhibitors. Enzyme inhibition is now a proven effective treatment for breast cancer and the development of more efficient inhibitors is an important objective.     

The effect of medroxyprogesterone acetate on aromatase and DNA polymerase alpha activities in breast tumours

The effect of treatment with the progestogen medroxyprogesterone acetate (MPA) on the peripheral conversion of androstenedione to oestrone and tumour aromatase activity has been examined in post-menopausal women with advanced breast cancer. In addition to being a potent progestational compound, MPA also possesses glucocorticoid properties and glucocorticoids have been shown to stimulate in vitro aromatase activity. While some evidence was obtained of an increase in aromatase activity in tumour tissue after treatment with MPA, peripheral conversion of androstenedione to oestrone was similar when measured before (2.12 +/- 0.67%) and after (1.89 +/- 0.16%) treatment. DNA polymerase alpha activity, measured as a marker of cellular proliferation, decreased from 331 +/- 145 to 156 +/- 93 pmol thymidine triphosphate (TTP)/mg protein per h (P less than 0.02) in tumour samples examined before and after treatment. It is concluded that treatment with high doses of MPA has no effect on the peripheral conversion of androstenedione to oestrone but results in a significant reduction in tumour DNA polymerase alpha activity.     

Conjugated and unconjugated oestrogens in fetal and maternal fluids of the cow throughout pregnancy.

The changes in concentration of oestrone, oestradiol (-17alpha and -17beta), oestrone sulphate and the oestradiol sulphates have been measured in allantoic and amniotic fluids and in maternal peripheral plasma throughout gestation. Oestrone sulphate was the major oestrone present in all of the fluids. It was measurable in allantoic fluid before Day 52 and reached a peak concentration of 475 ng/ml around Day 133. A lower peak occurred in the amniotic fluid around Day 110. The changes in oestradiol sulphates in allantoic fluid were similar to those of oestrone sulphate but at a much lower level. Considerable fluctuation was observed in the oestradiol sulphate concentrations in amniotic fluid. The ratio of oestradiol-17alpha sulphate to oestradiol-17beta sulphate was considerably higher in amniotic fluid than in allantoic fluid. Consistent changes in the levels of oestrone and the oestradiols were found in amniotic fluid but not in allantoic fluid during the second half of pregnancy. In maternal peripheral plasma oestrone sulphate was measurable before Day 72. In the limited number of samples analysed no difference in oestrogen concentration due to the sex of the fetus was evident in any of the fetal or maternal fluids.     

Local aromatase activity in human breast tissues

The presence of oestradiol in malignant breast cells is considered to be an important factor in the promotion of growth of the tumor. Therefore the regulation of the local high intra-tissue oestradiol concentrations, regardless of plasma concentrations, has been investigated. Experimental evidence suggests that in situ biosynthesis of oestrogens is at least partly responsible for the local accumulation of these steroids. In this paper we report further data on measurements in fatty and tumor tissues of local aromatase activities and of concentrations of substrates and products of this enzyme. Data are given on localization of aromatase and on steroid concentrations in tumors and in adipose tissues dissected from different quadrants of breasts with malignent tumors. In adipose tissues small variations in steroid concentrations in fatty tissues were found. No tumor-directed gradients in the adipose tissue-concentrations of the androgens dehydro-epiandrosterone, 5-androstene-3ß,17ß-diol, 4-androstene-3,17-dione and testosterone and of the oestrogens oestradiol, oestrone and their sulfates could be detected. Furthermore no consistent pattern could be recognized in the aromatase activities in the fatty tissues dissected from tumor-bearing and non-affected quadrants of the same breast. No correlations between aromatase activity measured in vitro and product concentrations in vivo were found. Therefore the mechanisms for regulation of the local oestradiol levels in breast tissues remain unknown.     

The origin of oestrone sulphate in normal and malignant breast tissues in postmenopausal women.

Conversion of oestrone sulphate to oestrone has been suggested to make a major contribution to the level of oestrone found in breast tissues. In order to examine the ability of breast tissues to take up oestrone sulphate (E1S), 3H E1S or E1-35S was infused into postmenopausal women with advanced breast cancer. For 3 subjects infusion of 3H E1S was repeated after treatment with Danazol, a potential inhibitor of oestrone sulphatase activity. After infusion of 3H E1S significant levels of 3H E1S were detected in normal and malignant breast tissues (tissue: plasma ratios 0.14 +/- 0.13 and 0.24 +/- 0.12 respectively, mean +/- S.D., n = 5). Similar 3H E1S tissue: plasma ratios were detected after infusions of 3H E1 indicating that the 3H E1S detected in breast tissues after infusion of 3H E1S may have originated from the hydrolysis of 3H E1S in tissues other than the breast, with subsequent uptake and sulphation in breast tissues. After infusion of E1-35S no significant levels of radioactivity were detectable in normal or malignant breast tissues. Treatment with Danazol had no significant effect on tissue levels of 3H E1S or on the CRE1S E1 or MCR-E1S. It is concluded that oestrone sulphate, as such, is not taken up by breast tissues and that any contribution that oestrone sulphate makes to the oestrogen content of breast tissues will depend upon prior hydrolysis.     

Local endocrine effects of aromatase inhibitors within the breast

To determine the effects of aromatase inhibitors on oestrogen uptake, in situ aromatase activity and endogenous oestrogens in the breast, postmenopausal women with large primary ER-rich breast cancers have been treated neoadjuvantly for 3 months with either letrozole (2.5 or 10 mg daily) or anastrozole (1 or 10 mg daily) or exemestane (25 mg daily). Patients were given an infusion of ³H-androstenedione and ¹⁴C-oestrone for 18 h before and at the end of the study period. Blood, tumour and non-malignant breast were taken immediately after each infusion; oestrogens were extracted and purified. Tumour volume was measured before and during treatment at monthly intervals so that endocrinological changes could be related to clinical response. Treatment with each of the aromatase inhibitors was associated with a profound reduction in peripheral aromatase (as monitored by the level of plasma ³H-oestrone). There was no consistent effect on uptake of radioactively labelled oestrogen into breast tumours but a tendency for levels to increase after treatment in non-malignant breast. Conversely, therapy was associated with a marked inhibition of in situ oestrogen synthesis in both tumour and non-malignant breast (in occasional tissues, inhibitors appeared to be less effective but the effect was not related to clinical or pathological responses). Similar decreases were apparent in endogenous levels of oestrone and oestradiol. The absence of in situ aromatase activity tended to be associated with lack of clinical response to aromatase inhibition but the relationship was not absolute, limiting the utility of measurements of tumour aromatase as a predictive indices. Ex vivo studies of tissue aromatase indicated that such measurements consistently underestimate the inhibitory potential of reversible non-steroidal agents (and occasionally paradoxical in vitro increases in aromatase activity were seen with treatment). However, in situ assays demonstrate that new aromatase inhibitors such as anastrozole, exemestane and letrozole have profound effects on the local endocrinology within the postmenopausal breast, these being compatible with the clinico-pathological changes which occur with treatment.     

Comparison of serum oestrogen concentrations in post-menopausal women taking oestrone sulphate and oestradiol.

Mean serum concentrations of oestradiol-17beta, oestrone, and oestrone sulphate in postmenopausal women were the same when measured up to six hours after treatment with either piperazine oestrone sulphate 1.5 mg or oestradiol valerate 2 mg. Maximum concentrations of oestradiol were less than those of oestrone, but oestrone sulphate reached concentrations about 30 times higher than those of oestrone. The rapid conversion of oestradiol valerate to oestrone and oestrone sulphate does not support the suggestion that in menopausal women oestradiol is less likely to be associated with a risk of endometrial carcinoma than oestrone sulphate, since the two preparations appear to become identical after ingestion.     

Aminoglutethimide--a new endocrine therapy in breast cancer. A cancer research review

Aminoglutethimide is an effective treatment for advanced postmenopausal breast cancer, acting in a novel way. It inhibits peripheral and tumour aromatase, which converts androgens to oestrogens. Marked suppression of oestrone and oestradiol is produced. Aminoglutethimide was used as an inhibitor of adrenal steroid biosynthesis, but the concentrations required to inhibit aromatase in vitro are 10 times lower. This has led to its clinical evaluation in much lower doses. Doses of 125 mg twice daily produce oestrogen suppression equivalent to conventional doses of 1 g daily, and also similar tumour responses. Toxicity is much reduced by the lower dose.     

Steroid hormones in uterine washings and in plasma of gilts between days 9 and 15 after oestrus and between days 9 and 15 after coitus

Between Days 9 and 15 after oestrus, concentrations of pregnenolone, pregnenolone sulphate, dehydroepiandrosterone (DHEA), DHEA sulphate, androstenedione, oestrone and oestrone sulphate in free uterine fluid collected from non-pregnant gilts were greater than respective values in plasma (P less than 0.05). The total contents of pregnenolone, progesterone, DHEA, testosterone, oestrone and oestradiol in washings from pregnant uteri exceeded (P less than 0.05) respective non-pregnancy levels during this same period. Concentrations of pregnenolone, pregnenolone sulphate, DHEA, DHEA sulphate, androstenedione, oestrone, oestrone sulphate and oestradiol in free uterine fluid recovered from gravid uteri were also higher (P less than 0.05) than respective plasma values. By contrast, the progesterone concentration in uterine fluid from pregnant animals was lower (P less than 0.001) than the plasma value. Concentrations of DHEA, DHEA sulphate, androstenedione and oestrone sulphate in plasma of pregnant gilts between Days 9 and 15 after mating exceeded (P less than 0.05) the respective concentrations in unmated gilts between Days 9 and 15 after oestrus. Plasma levels of pregnenolone sulphate were lower (P less than 0.05) in the pregnant animals. We therefore suggest that the endometrium of the pig can concentrate steroid hormones in uterine fluid and that increases in steroid levels in this milieu between Days 9 and 15 after coitus reflect steroidogenesis by embryonic tissues and modification of enzyme activities within uterine tissues under the influence of progestagens. The pool of steroid sulphoconjugates present in uterine fluid between Days 9 and 15 post coitum could serve as an important precursor source for progestagen, androgen and oestrogen synthesis by tissues of pig embryos before implantation.     

Aromatase activity in uterine leiomyomata

Of the 24 samples of leiomyoma tissues examined 14 were shown to have aromatase activity in vitro. In contrast only 1 of 12 samples of myometrium had any demonstrable activity. Measurements of tissue oestrogen levels showed no correlation with the amount of aromatase activity although oestradiol levels were consistently higher in the tumour tissues compared with the normal myometrium.     

Relationship between tumour aromatase activity, tumour characteristics and response to therapy

Aromatase activity has been measured in human breast cancers by incubating tumour minces with [7-³H]testosterone and characterizing purified oestradiol (E₂) fractions by chemical derivative formation. Of 247 primary tumours, 178 showed evidence of oestrogen biosynthesis, levels varying between 0.5 and 12.5 fmol E₂ produced/h/g tissue. These values were quantitatively small but at least comparable with those in other peripheral tissues. There was no correlation between presence or level of aromatase activity and the histopathology of the tumours although oestrogen biosynthesis was more likely to be present in more cellular tumours. Aromatase activity was also unrelated to age, menopausal status, lymph node status and T stage of the patient from which the tumour was derived. In a subgroup of patients presenting without clinical evidence of distant metastatic disease, no significant relation was detected between tumour aromatase and disease-free interval, but tumours without aromatase activity were associated with increased survival at 36 months after primary treatment. A statistically significant correlation was also detected between the presence of tumour aromatase and oestrogen receptors. Furthermore, in small subgroups of patients with “advanced” breast cancer tumour aromatase was related to response to aminoglutethimide but not tamoxifen therapy. Whilst these results do not conclusively define a role for local synthesis of oestrogen in the progression of breast cancer, this possibility still exists and further studies on tumour aromatase are warranted.     

Inhibition of steroid sulphatase activity by steroidal methylthiophosphonates: Potential therapeutic agents in breast cancer

The hydrolysis of steroid sulphates, by steroid sulphatase, is an important source of oestrogenic steroids (oestrone, oestradiol and 5-androstene-3β,17β-diol) which are found in tumours. In the present study, we have examined the effect of dehydroepiandrosterone-3-O-methylthiophosphonate (DHA-3-MTP), pregnenolone-3-O-methylthiophosphonate (pregnenolone-3-MTP) and cholesterol-3-O-methylthiophosphonate (cholesterol-3-MTP) on the inhibition of oestrone sulphatase as well as DHA sulphatase activities in intact MCF-7 breast cancer cells and in placental microsomes. All three methylthiophosphonates significantly (P< 0.01) inhibited the hydrolysis of oestrone sulphate (E₁ S) in intact MCF-7 cells (31–85% inhibition at 1 μM and 53–97% inhibition at 10 μM). Significant inhibition of DHA sulphatase was also achieved. At a concentration of 50 μM, all three compounds inhibited the hydrolysis of dehydroepiandrosterone sulphate (DHAS) by > 95%. Using human placental microsomes, the K_m and V_max of E₁S were determined to be 8.1 μM and 43 nmol/h/mg protein. The corresponding K_i values for DHA-3-MTP, pregnenolone-3-MTP and cholesterol-3-MTP were found to be 4.5, 1.4 and 6.2 μM, respectively. Such inhibitors which are resistant to metabolism may have considerable potential as therapeutic agents and may have additional advantage over aromatase inhibitors in also reducing tumour concentrations of the oestrogenic steroid, 5-androstene-3β,17β-diol, by inhibiting the hydrolysis of DHAS.     

The regulation of oestrone sulphate formation in breast cancer cells.

The formation of oestrone sulphate has been examined in MCF-7 (oestrogen receptor positive, ER+) and MDA-MB-231 (ER negative, ER-) breast cancer cells. Using intact cell monolayers and a physiological substrate concentration, progesterone (1 microM) and dexamethasone (1 microM) both increased oestrone sulphate formation in MCF-7 cells. In MDA-MB-231 cells, dexamethasone, but not progesterone, increased conjugate formation. A number of growth factors, cytokines and human serum albumin (HSA), which have previously been found to regulate oestrogen synthesis, were also examined for their ability to regulate oestrone sulphate formation. In MCF-7 cells epidermal growth factor, acidic and basic fibroblast growth factors, insulin-like growth factor-type I and insulin all stimulated oestrone sulphate formation. The cytokines, tumour necrosis factor alpha (TNFalpha) and interleukin-1beta also increased conjugate formation in the ER+ cells, as did HSA. In contrast, in MDA-MB-231 cells TNFalpha was without effect and HSA inhibited oestrone sulphate formation. The ability to modulate oestrone sulphate formation in ER+ cells may be an important mechanism to limit the availability of oestrogen to interact with the ER.     

Breast cancer tissue estrogens and their manipulation with aromatase inhibitors and inactivators

Despite the dramatic fall in plasma estrogen levels at menopause, only minor differences in breast tissue estrogen levels have been reported comparing pre- and postmenopausal women. Thus, postmenopausal breast tissue has the ability to maintain concentrations of estrone (E₁) and estradiol (E₂) that are 2–10- and 10–20-fold higher than the corresponding plasma estrogen levels. This finding may be explained by uptake of estrogens from the circulation and/or local estrogen production. Local aromatase activity in breast tissue seems to be of crucial importance for the local estrogen production in some patients while uptake from the circulation may be more important in other patients. Beside aromatase, breast tissue expresses estrogen sulfotransferase and sulfatase as well as dehydrogenase activity, allowing estrogen storage and release in the cells as well as conversions between estrone and estradiol. The activity of the enzyme network in breast cancer tissue is modified by a variety of factors like growth factors and cytokines. Aromatase inhibitors have been used for more than two decades in the treatment of postmenopausal metastatic breast cancer and are currently investigated in the adjuvant treatment and even prevention of breast cancer. Novel aromatase inhibitors and inactivators have been shown to suppress plasma estrogen levels effectively in postmenopausal breast cancer patients. However, knowledge about the influence of these drugs on estrogen levels in breast cancer tissue is limited. Using a novel HPLC-RIA method developed for the determination of breast tissue estrogen concentrations, we measured tissue E₁, E₂ and estrone sulfate (E₁S) levels in postmenopausal breast cancer patients before and during treatment with anastrozole. Our findings revealed high breast tumor tissue estrogen concentrations that were effectively decreased by anastrozole. While E₁S was the dominating estrogen fraction in the plasma, estradiol was the estrogen fraction with the highest concentration in tumor tissue. Moreover, plasma estrogen levels did not correlate with tissue estrogen concentrations. The overall experience with aromatase inhibitors and inactivators concerning their influences on breast tissue estrogen concentrations is summarized.