Analysis of Detection Processes for Breast Cancer

Most existing records of detection processes for breast cancer are in the form of cancer registries or are results of large clinical trials. Statistical modelling can be applied to these data sets to study various properties of breast cancer. In particular we estimate the probability of cure given the size of the tumour at detection, the distribution of tumour growth rates and the distribution of the size of the tumour at detection. There has been a strong recent interest in early detection methods. These consist of giving regular examinations, called screenings. The effect of screening design on the probability of cure is considered. The results of an existing screening trial are used to derive another estimate of the tumour growth rate distribution which agrees well both with our earlier estimate and the most widely used empirical estimate in the literature. The calculation of lead time, which is the time gained in detection when screenings are given, is also discussed.     

A nonlinear biphasic model of flow-controlled infusions in brain: Mass transport analyses

A biphasic nonlinear mathematical model is proposed for the mass transport that occurs during constant flow-rate infusions into brain tissue. The model takes into account geometric and material nonlinearities and a hydraulic conductivity dependent upon strain. The biphasic and convective–diffusive transport equations were implemented in a custom-written code assuming spherical symmetry and using an updated Lagrangian finite element algorithm. Results of the model indicate that the inclusion of these nonlinearities produced modest changes in the interstitial concentration but important variations in drug penetration and bulk concentration. Increased penetration of the drug but smaller bulk concentrations were obtained at smaller strains caused by combination of parameters such as increased Young’s modulus and initial hydraulic conductivity. This indicates that simulations of constant flow-rate infusions under the assumption of infinitesimal deformations or rigidity of the tissue may yield lower bulk concentrations near the infusion cavity and over-predictions of the penetration of the infused agent. The analyses also showed that decrease in the infusion flow rate of a fixed amount of drug results in increased penetration of the infused agent. From the clinical point-of-view, this may promote a safer infusion that delivers the therapeutic range over the desired volume while avoiding damage to the tissue by minimizing deformation and strain.     

A Fourier transform infrared microspectroscopic imaging investigation into an animal model exhibiting glioblastoma multiforme

Glioblastoma multiforme (GBM) is a highly malignant human brain tumour for which no cure is available at present. Numerous clinical studies as well as animal experiments are under way with the goal being to understand tumour biology and develop potential therapeutic approaches. C6 cell glioma in the adult rat is a frequently used and well accepted animal model for the malignant human glial tumour. By combining standard analytical methods such as histology and immunohistochemistry with Fourier Transform Infrared (FTIR) microspectroscopic imaging and multivariate statistical approaches, we are developing a novel approach to tumour diagnosis which allows us to obtain information about the structure and composition of tumour tissues that could not be obtained easily with either method alone. We have used a “Stingray” FTIR imaging spectrometer to analyse and compare the compositions of coronal brain tissue sections of a tumour-bearing animal and those from a healthy animal. We have found that the tumour tissue has a characteristic chemical signature, which distinguishes it from tumour-free brain tissue. The physical-chemical differences, determined by image and spectral comparison are consistent with changes in total protein absorbance, phosphodiester absorbance and physical dispersive artefacts. The results indicate that FTIR imaging analysis could become a valuable analytic method in brain tumour research and possibly in the diagnosis of human brain tumours.     

A Fourier transform infrared microspectroscopic imaging investigation into an animal model exhibiting glioblastoma multiforme

Glioblastoma multiforme (GBM) is a highly malignant human brain tumour for which no cure is available at present. Numerous clinical studies as well as animal experiments are under way with the goal being to understand tumour biology and develop potential therapeutic approaches. C6 cell glioma in the adult rat is a frequently used and well accepted animal model for the malignant human glial tumour. By combining standard analytical methods such as histology and immunohistochemistry with Fourier Transform Infrared (FTIR) microspectroscopic imaging and multivariate statistical approaches, we are developing a novel approach to tumour diagnosis which allows us to obtain information about the structure and composition of tumour tissues that could not be obtained easily with either method alone. We have used a "Stingray" FTIR imaging spectrometer to analyse and compare the compositions of coronal brain tissue sections of a tumour-bearing animal and those from a healthy animal. We have found that the tumour tissue has a characteristic chemical signature, which distinguishes it from tumour-free brain tissue. The physical-chemical differences, determined by image and spectral comparison are consistent with changes in total protein absorbance, phosphodiester absorbance and physical dispersive artefacts. The results indicate that FTIR imaging analysis could become a valuable analytic method in brain tumour research and possibly in the diagnosis of human brain tumours.     

Effective beam directions using radiobiologically optimized IMRT of node positive breast cancer

The purpose of this study was to investigate the optimal coplanar beam directions when treating an early breast cancer with locoregional lymphatic spread with a few radiobiologically optimized intensity modulated beams. Also to determine the increase in the probability of complication-free cure with the number of beam portals and the smallest number required to perform a close to optimal treatment for this tumour site.Four test patients with stage II left-sided breast cancer were studied with heart, lung and contralateral breast as principal organs at risk. The clinical target volume consisted of the breast tissue remaining after surgery, the axillary, the internal mammary as well as the supraclavicular lymph nodes. Through an exhaustive search of all possible beam directions the most effective coplanar beams with one to four intensity modulated photon beam portals were investigated. Comparisons with uniform beam treatment techniques and up to 12 intensity modulated beams were also made. The different plans were optimized using the probability of complication-free tumour cure, P₊, as biological objective function.When using two intensity modulated beam directions three major sets of suitable directions were identified denoted by A, P and T. A corresponds to an anterior oblique pair of beams around 25° and 325°, P is a perpendicular lateral pair at around 50° and 130° whereas T is a more conventional tangential pair at around 155° and 300°. Interestingly, these configurations identify simply three major effective beam directions namely at 30°±20°, 145°±20° and 310°±15°. For the three intensity modulated beam technique a combination of these three effective beam directions generally covered the global maximum of the probability of complication-free tumour control.The improvement in complication-free cure probability with two optimally selected intensity modulated beams is around 10% when compared to a uniform beam technique with three to four beam portals. This increase is mainly due to a reduction by almost 1% in the probability of injury to the heart and an increase of 6% in the probability of local tumour control. When three or four biologically optimized beam portals are used a further increase in the probability of complication-free cure of about 6% can often be obtained. This improvement is caused by a small decrease in the probability of injury to the heart, left lung and other surrounding normal tissue, as well as a slight further increase in the probability of tumour control. The increase in the treatment outcome is minimal when more than four intensity modulated beams are employed. A small increase in dose homogeneity in the target volume and a slight decrease in the normal tissue volume receiving high dose may be seen, but without appreciably improving the complication-free cure probability.For a stage II breast cancer, three and in more complex cases four optimally oriented beams are sufficient to reach close to the maximum probability of complication-free tumour control when biologically optimized intensity modulated dose delivery is used. Angle of incidence optimization may then be advantageous starting from the given most effective three beam directions.     

The dynamics of tumour–vasculature interaction suggests low-dose, time-dense anti-angiogenic schedulings

Objectives: The administration schedule appears to be a particularly relevant factor in determining the effectiveness of an antiangiogenic drug. A better quantitative knowledge of the interactions between tumour growth and the development of its vasculature could help to design effective therapies.
Material and Methods: Biological and clinical inferences were derived from the analysis of a mathematical model proposed by Hahnfeldt et al. (1999), and some of its variants. In particular, we compared the effect of constant continuous infusion of an anti-angiogenic drug that induces vascular loss, to the effect of periodic, bolus-based therapy.
Results and Conclusions: The role of drug elimination rate and of dose fractionation was investigated, and we show that different schedulings, guaranteeing the same mean value of drug concentration, may exhibit very different long-term responses according to their concentration vs. time profile. For a large class of tumour growth laws, the profiles that approach the constant one are the most effective. This behaviour appears to depend on the 'cooperativity' of the tumour-vasculature interaction and on the functional form of the relationship between tumour growth and vasculature extent. Moreover, we suggest that a therapy approaching constant drug infusion might be advantageous also in the case of cytostatic anti-angiogenic drugs.     

Interleukin-6-Mediated Autocrine Growth Promotion in Human Glioblastoma Multiforme Cell Line U87MG

Abstract: Human glioblastoma multiforme cell lines, brain tumor biopsy tissue, and normal human fetal brain synthesize interleukin (IL)-6 and IL-6 receptor (IL-6R). Neither of these is expressed in human neurons or neuroblastoma cell lines in culture. Astrocytes from fetal brain grown in culture retain the ability to synthesize IL-6 but do not express IL-6R as inferred from RT-PCR and Southern blot studies. Coexpression of IL-6 and IL-6R in the glioblastoma cell line U87MG is confirmed by immunofluorescence staining. Both specific monoclonal antibodies against IL-6 and IL-6R and antisense oligonucleotide to IL-6 mRNA inhibit the growth of U87MG cells in culture, suggesting the existence of a functional autocrine growth loop. Anti-IL-6 antibodies also inhibit the growth of glioblastoma cell lines U373 and U118. The expression of IL-6 by human fetal astrocytes in culture is highly suggestive of its role as an oncofetal protein responsible for rapid proliferation of fetal and tumor cells but not cells of adult brain.     

Cytokine responsiveness in germfree and conventional NMRI mice

We have investigated the proliferative response of thymocytes from different mouse strains to cytokines in vitro. Interleukin 2 (IL-2), IL-4 and IL-7 induced proliferation of thymocytes from NMRI/KI (a locally bred NMRI mouse strain), NMRI/H ('traditional' NMRI mice), C3H/HeJ and C3H/HeN mice. NMRI/KI thymocytes showed the most prominent proliferation in response to IL-1 alpha and IL-1 beta. IL-3, IL-5, IL-6, IL-8, IL-10, tumour necrosis factor alpha (TNF-alpha), interferon gamma (IFN-gamma), inhibin and lipopolysaccharide (LPS) induced no thymocyte proliferation. Germfree NMRI/KI mouse thymocytes showed a significantly lower proliferation in response to IL-1 alpha and IL-1 beta than conventional mice. Rat tissues, previously shown to contain lymphocyte activating factors (LAFs), were also tested. Skin, tongue, esophagus, proventricular stomach, testis and placenta were all positive in the LAF assay utilizing NMRI/KI thymocytes, whereas none of the tissue extracts could induce proliferation in NMRI/H thymocytes. The higher cytokine responsiveness in conventional mice compared with germfree might suggest that exposure to microflora induces a higher state of activation of the immune system. The LAF assay, utilizing NMRI/KI thymocytes, is a highly sensitive IL-1 bioassay with a detection level of 1 pg/ml for IL-1 beta and 2 pg/ml for IL-1 alpha. The specificity of the assay is increased by utilizing NMRI/H mice to exclude the presence of IL-2, IL-4 and IL-7.     

Mathematical model for chemotherapeutic drug efficacy in arresting tumour growth based on the cancer stem cell hypothesis

OBJECTIVE: Cancer stem cells have been identified as the growth root for various malignant tumours and are thought to be responsible for cancer recurrence following treatment. MATERIALS AND METHODS: Here, a predictive mathematical model for the cancer stem cell hypothesis is used to understand tumour responses to chemotherapeutic drugs and judge the efficacy of treatments in arresting tumour growth. The impact of varying drug efficacies on different abnormal cell populations is investigated through the kinetics associated with their decline in response to therapy. RESULTS AND CONCLUSIONS: The model predicts the clinically established 'dandelion phenomenon' and suggests that the best response to chemotherapy occurs when a drug targets abnormal stem cells. We compare continuous and periodic drug infusion. For the latter, we examine the relative importance of the drug cell-kill rate and the mean time between successive therapies, to identify the key attributes for successful treatment.     

Epinephrine infusion increases adipose interleukin-6 gene expression and systemic levels in humans.

Exercise increases IL-6 mRNA in subcutaneous adipose tissue; however, the immediate signal for the IL-6 induction is unknown. We, therefore, explored the possible role of epinephrine in the induction of IL-6 in adipose tissue. Subcutaneous adipose tissue biopsies and blood samples were obtained from eight healthy men (mean age 27 yr, mean height 184 cm, mean weight 83 kg) in response to epinephrine infusion or in response to saline infusion. The rate of epinephrine infusion was such that circulating epinephrine concentrations mimicked that typically seen during exercise. The level of IL-6 mRNA in subcutaneous adipose tissue increased 26-fold (95% confidence interval, 9- to 166-fold) at 3 h of epinephrine infusion compared with controls (P=0.028). In addition, plasma levels of IL-6 increased in response to epinephrine infusion (P <0.001). However, epinephrine did not affect the IL-6 receptor mRNA. In conclusion, epinephrine acutely increases IL-6 mRNA levels in subcutaneous adipose tissue as well as circulating IL-6 levels in healthy men.     

Quantitative determination of 5-hydroxytryptophan in dissected brain regions by on-line trace enrichment HPLC with electrochemical detection

A sensitive, specific and rapid quantitative HPLC assay for 5-hydroxytryptophan (5-HTP) in samples of brain regions of widely differing size is described. The method utilizes off-line prepurification of tissue supernatants on gravity-fed strong cation exchange columns, on-line enrichment of the entire cation exchange column eluate on short reverse phase enrichment precolumns, further separation by reverse phase chromatography on an analytical column and electrochemical detection. On-line trace enrichment permits the efficient incorporation of off-line column chromatography to maximize assay specificity without compromising assay sensitivity. A reliable, working limit of detection of 200 pg 5-HTP/sample permits the estimation of in vivo tryptophan hydroxylase activity by determining the rate of 5-HTP accumulation following L-aromatic amino acid decarboxylase inhibition in small discrete brain regions or larger tissue samples only poorly innervated by 5-HT terminals.     

Influence of TNF-alpha and IL-6 infusions on insulin sensitivity and expression of IL-18 in humans

Inflammation is associated with insulin resistance, and both tumor necrosis factor (TNF)-alpha and interleukin (IL)-6 may affect glucose uptake. TNF induces insulin resistance, whereas the role of IL-6 is controversial. High plasma levels of IL-18 are associated with insulin resistance in epidemiological studies. We investigated the effects of TNF and IL-6 on IL-18 gene expression in skeletal muscle and adipose tissue. Nine human volunteers underwent three consecutive interventions, receiving an infusion of recombinant human (rh)IL-6, rhTNF, and saline. Insulin sensitivity was assessed by measurement of whole body glucose uptake with the stable isotope tracer method during a euglycemic hyperinsulinemic clamp (20 mU.min(-1).kg(-1)), which was initiated 1 h after the IL-6-TNF-saline infusion. Cytokine responses were measured in plasma, muscle, and fat biopsies. Plasma concentrations of TNF and IL-6 increased 10- and 38-fold, respectively, during the cytokine infusions. Whole body insulin-mediated glucose uptake was significantly reduced during TNF infusion but remained unchanged during IL-6 infusion. TNF induced IL-18 gene expression in muscle tissue, but not in adipose tissue, whereas IL-6 infusion had no effect on IL-18 gene expression in either tissue. We conclude that TNF-induced insulin resistance of whole body glucose uptake is associated with increased IL-18 gene expression in muscle tissue, indicating that TNF and IL-18 interact, and both may have important regulatory roles in the pathogenesis of insulin resistance.     

Use of ribozymes and antisense oligodeoxynucleotides to investigate mechanisms of drug resistance

Chemotherapy can cure a number of human cancers but resistance (either intrinsic or acquired) remains a significant problem in many patients and in many types of solid tumour. Combination chemotherapy (using drugs with different cellular targets/mechanisms) was introduced in order to kill cells which had developed resistance to a specific drug, and to allow delivery of a greater total dose of anti-cancer chemicals by combining drugs with different side-effects (Pratt et al., 1994). Nearly all anti-cancer drugs kill tumour cells by activating an endogenous bio-chemical pathway for cell suicide, known as programmed cell death or apoptosis. This revised version was published online in August 2006 with corrections to the Cover Date.     

Recent developments in the first detection of hepatocellular carcinoma

Hepatocellular carcinoma (HCC) ranks fifth in frequency of cancers worldwide. The main aetiological factor is hepatitis B virus (HBV) although the importance of hepatitis C virus (HCV) is growing. The most important tumour marker for HCC is alpha-fetoprotein (AFP). The common method of screening high risk patients by AFP and ultrasonography has been shown to result in earlier detection and consequently more easily treatable tumours and longer survival. Proposed screening interval varies from once every 3 months to annually to "as indicated' but, most commonly, is once every 6 months. AFP is a fairly specific but insensitive marker for HCC. Sensitivity of HCC detection by blood markers is improved by combining various other markers with AFP. Of the other markers, the newer high sensitivity des-gamma-carboxy-prothrombin (DCP) has been found to be useful. In addition the AFP fractions L3, P4/5 and the +II band are highly specific for HCC. Among routinely assayed tumour markers in the laboratory, CA 125 is more sensitive for HCC than AFP but far less specific. Various other enzymes, isoenzymes, growth factors, adhesion molecules, other proteins such as interleukin-2 receptor (IL-2R), human cervical cancer oncogene protein (HCCR) and glypican-3 (GPC3), p15 and p16 hypermethylation and nitrite/nitrate ratio have been tested; some of these show promise but none is presently in routine use. The value of other newer markers such as the HBx protein that is produced by HBV, and what are thought to be specific proteins and signatures identified by proteomics remain to be determined.     

Clonal aspects of plant cell proliferation and their applications to animal cells and bacteria

Abstract.   Objectives : Extensive mathematical studies have been made on cell clone development but little has been advanced in the mathematics of small clone formation and virtually no actual data of small clone size has been collected. Materials and methods : Small clone sizes in leaf marginal cells of the aquatic plant Elodea and aleurone spot sizes in the grain of Zea were counted for later statistical analyses of mean, variance and probability distribution frequencies. Results : Simple mathematical models were developed and their calculated results are comparable to data collected on actual plant clones. The parameters in these models were original cell size ( s ₀), growth rate ( T ), duration of growth ( t ) and cell division inequality ( i ). Conclusions : Given T and t , the critical parameter is s ₀. Plant tissue is ideal material to collect data on clone development because growth rate is uniform across a tissue and cells remain in place, so clone size can be measured, unlike microbes and animal cells that have neither feature. In the light of the results, traditional methods for calculating cell cycle duration and mutation rate are questioned. The applications of these plant features to studies on animal cell populations are discussed.     

Antibody guided irradiation of brain glioma by arterial infusion of radioactive monoclonal antibody against epidermal growth factor receptor and blood group A antigen.

In a patient with recurrent grade IV glioma of the brain resistant to conventional treatment an antibody guided isotopic scan showed uptake by the tumour of a monoclonal antibody (9A) that was developed against epidermal growth factor receptor but cross reacted with blood group A antigen. As a therapeutic attempt antibody labelled with 1665 MBq (45.0 mCi) iodine-131 was delivered to the tumour area by infusion into the internal carotid artery. Computed tomography showed regression of the tumour after treatment, and an appreciable and sustained clinical improvement was noted without any toxicity. Delivery of irradiation guided by monoclonal antibody delivered by arterial infusion of the tumour area may be of clinical value in the treatment of brain gliomas resistant to conventional forms of treatment.     

In vitro expansion and analysis of T lymphocyte microcultures obtained from the vaccination sites of cancer patients undergoing active specific immunization with autologous Newcastle-disease-virus-modified tumour cells

In order to understand further the effects of Newcastle-disease-virus(NDV)-modified tumour vaccines we investigated the feasibility of isolating lymphocytes from the site of injection of patients undergoing postoperative active specific immunization (ASI) with autologous NDV-modified tumour cells. Delayed-type-hypersensitivity(DTH)-like reactions from five cancer patients were surgically removed, minced and the tissue particles were digested with collagenase and DNase. Lymphoid cells recovered were expanded in a highly efficient limiting-dilution analysis system optimized for T cell growth [Moretta et al. (1983) J Exp Med 157: 743] and lymphocyte microcultures (clonal probability >0.8) could be grown for up to 1 year. Analysis of the microcultures for phenotype and function showed that the majority were positive for CD4 (92%) and TCR (96%). Concanavalin-A-induced production of interleukin-2 (IL-2), IL-6, interferon and tumour necrosis factor was detected in more than 70% of the microcultures. Lectin-dependent cytotoxicity was only very rarely observed. The general characteristics of the microcultures obtained support the notion of a DTH-like reaction taking place at the site of tumour cell challenge. The possibility of in vitro expansion and cultivation of T lymphocytes from ASI vaccination sites should help to elucidate further the role of these cells in active specific immunization against autologous tumour cells.This study was supported by Dr.-Mildred-Scheel-Stiftung and the Tumorzentrum Heidelberg     

A nonlinear biphasic model of flow-controlled infusion in brain: Fluid transport and tissue deformation analyses

A biphasic nonlinear mathematical model is proposed for the concomitant fluid transport and tissue deformation that occurs during constant flow rate infusions into brain tissue. The model takes into account material and geometrical nonlinearities, a hydraulic conductivity dependent on strain, and nonlinear boundary conditions at the infusion cavity. The biphasic equations were implemented in a custom written code assuming spherical symmetry and using an updated Lagrangian finite element algorithm. Results of the model showed that both, geometric and material nonlinearities play an important role in the physics of infusions, yielding important differences from infinitesimal analyses. Geometrical nonlinearities were mainly due to the significant enlargement of the infusion cavity, while variations of the parameters that describe the degree of nonlinearity of the stress–strain curve yielded significant differences in all distributions. For example, a parameter set showing stiffening under tension yielded maximum values of radial displacement and porosity not localized at the infusion cavity. On the other hand, a parameter set showing softening under tension yielded a slight decrease in the fluid velocity for a three-fold increase in the flow rate, which can be explained by the substantial increase of the infusion cavity, not considered in linear analyses. This study strongly suggests that significant enlargement of the infusion cavity is a real phenomenon during infusions that may produce collateral damage to brain tissue. Our results indicate that more experimental tests have to be undertaken in order to determine material nonlinearities of brain tissue over a range of strains. With better understanding of these nonlinear effects, clinicians may be able to develop protocols that can minimize the damage to surrounding tissue.     

Fitting density functions and diffusion tensors to three-dimensional drug transport within brain tissue

In the research on drug transport within brain tissue, typical data sets consist of a collection of volume integrals from various locations in the brain, with each datum measuring the total amount of drug in a sample of tissue. These samples contain medically useful information about the extent and orientation of the distribution of the drug, but extracting this information requires some mathematical analysis. The method of analysis presented here performs a nonlinear regression on the data to fit a multivariate density function (for example, a Gaussian density) to model such transport processes as diffusion and dispersion. The principal components of that density then characterize the size and shape of the distribution of drug.