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Biomedical subjects

E Georg Luebeck

Publications and source records attributed to E Georg Luebeck.

12 recordsLinked to original sources
PubMed2006

Dynamics, stability and inheritance of somatic DNA methylation imprints.

Recent research highlights the role of CpG methylation in genomic imprinting, histone and chromatin modification, transcriptional regulation, and 'gene silencing' in cancer development. An unresolved issue, however, is the role of stable inheritance of factors that manage epigenetic imprints in renewing or expanding cell populations in soma. Here we propose a mathematical model of CpG methylation that is consistent with the cooperative roles of de novo and maintenance methylation. This model describes (1) the evolution of methylation imprints toward stable, yet noisy equilibria, (2) bifurcations in methylation levels, thus the dual stability of both hypo- and hypermethylated genomic regions, and (3) sporadic transitions from hypo- to hypermethylated equilibria as a result of methylation noise in a finite system of CpG sites. Our model not only affords an explanation of the persistent coexistence of these two equilibria, but also of sporadic changes of site-specific methylation levels that may alter preset epigenetic imprints in a renewing cell population.

Animals↗
PubMed2006

Age effects and temporal trends in adenocarcinoma of the esophagus and gastric cardia (United States).

A number of hypotheses have been advanced to explain the rapid increase of the incidence of esophageal adenocarcinoma in the US. A major problem in identifying and understanding the nature of this increase is the difficulty in untangling age effects from temporal trends due to cohort and period effects. To address this problem, we have developed multi-stage carcinogenesis models that describe the age-specific incidence of adenocarcinoma of the esophagus and of the gastric cardia with separate adjustments for temporal trends. These models explicitly incorporate important features of the cancers, such as the metaplastic conversion of normal esophagus to Barrett's esophagus (BE). We fit these models separately to the incidence of adenocarcinoma of the esophagus and of the gastric cardia reported in the Surveillance Epidemiology and End Results (SEER) registry over the period 1973-2000. We conclude that the incidence of both cancers is consistent with a sequence that posits a tissue conversion step in the target organ followed by a multi-stage process with three rate-limiting events, the first two leading to an initiated cell that can expand clonally into a premalignant lesion, and the third converting an initiated cell into a malignant cell. Temporal trends in the incidence of both cancers are dominated by dramatically increasing period effects.

Adenocarcinoma↗
PubMed2005

On the number of founding germ cells in humans.

BACKGROUND: The number of founding germ cells (FGCs) in mammals is of fundamental significance to the fidelity of gene transmission between generations, but estimates from various methods vary widely. In this paper we obtain a new estimate for the value in humans by using a mathematical model of germ cell development that depends on available oocyte counts for adult women. RESULTS: The germline-development model derives from the assumption that oogonial proliferation in the embryonic stage starts with a founding cells at t = 0 and that the subsequent proliferation can be defined as a simple stochastic birth process. It follows that the population size X(t) at the end of germline expansion (around the 5th month of pregnancy in humans; t = 0.42 years) is a random variable with a negative binomial distribution. A formula based on the expectation and variance of this random variable yields a moment-based estimate of a that is insensitive to the progressive reduction in oocyte numbers due to their utilization and apoptosis at later stages of life. In addition, we describe an algorithm for computing the maximum likelihood estimation of the FGC population size (a), as well as the rates of oogonial division and loss to apoptosis. Utilizing both of these approaches to evaluate available oocyte-counting data, we have obtained an estimate of a = 2 - 3 for Homo sapiens. CONCLUSION: The estimated number of founding germ cells in humans corresponds well with values previously derived from chimerical or mosaic mouse data. These findings suggest that the large variation in oocyte numbers between individual women is consistent with a smaller founding germ cell population size than has been estimated by cytological analyses.

Algorithms↗
PubMed2005

Modulation of liver tumorigenesis in Connexin32-deficient mouse.

Connexin32 (Cx32) is the major gap junction forming protein in liver. Mice deficient in Cx32 demonstrate enhanced liver tumor formation, but are resistant to promotion of hepatocarcinogenesis by the model tumor promoter phenobarbital (PB). Here, we re-evaluate data on the number and sizes of glucose-6-phosphatase (G6Pase)-deficient liver lesions, both in Cx32-wildtype (WT) and Cx32-null male mice, obtained from two earlier experiments with similar protocols but paradoxical outcomes. In these experiments, enzyme-altered lesions were induced in mice of both strains by a single injection of N-nitrosodiethylamine (DEN) at age 6 weeks with a dose of 90 microg/g body weight (experiment 1) or at age 2 weeks with 10 microg/g body weight (experiment 2). Three weeks after DEN treatment groups of mice (sub-divided by Cx32 status) were also started on a PB-containing (0.05%) diet to test the responsiveness of the lesions to the tumor promoter. Additionally, for experiment 1, tumors were analyzed for the presence of Ha-ras and beta-catenin mutations. Based on the mutational analysis and the mathematical analysis of the G6Pase-deficient lesions, the two studies are consistent with the hypothesis of two types of lesions, 'late-type' lesions which are mainly characterized by beta-catenin mutations, and 'early-type' lesions that are frequently (but not exclusively) Ha-ras mutated. This concept affords an explanation as to the differential response seen in the two experiments with regard to Cx32 status and the role of PB as a tumor promoter (experiment 1) or inhibitor (as in experiment 2). Our findings also underscore the importance of the timing (6 weeks versus 2 weeks) of the genotoxic insult in relation to the developmental stage of the liver and the importance of clonal selection during tumor promotion.

Age Factors↗
PubMed2005

Gestational mutations and carcinogenesis.

We present a mathematical formulation to evaluate the effects of gestational mutations on cancer risk. The hazard or incidence function of cancer is expressed in terms of the Probability Generating Function (PGF) of the number of normal and mutated cells at birth. Using Filtered Poisson Process Theory, we obtain the PGF for several models for the accumulation of gestational mutations. In particular, we develop expressions for the hazard function when one or two successive mutations could occur during gestation. We also calculate the hazard when the background gestational mutation rates are increased due to exposure to mutagens, such as prenatal radiation. To illustrate the use of our models, we apply them to colorectal cancer in the SEER database. We find that the proportion of cancer risk attributable to developmental mutations depends on age and that it could be quite significant when gestational mutation rates are high. The analysis of the SEER data also shows that gestational mutations could contribute to inter-individual variations in colorectal cancer risk.

Colorectal Neoplasms↗
PubMed2004

Effects of exposure uncertainties in the TSCE model and application to the Colorado miners data.

The simulations in this paper show that exposure measurement error affects the parameter estimates of the biologically motivated two-stage clonal expansion (TSCE) model. For both Berkson and classical error models, we show that likelihood-based techniques of correction work reliably. For classical errors, the distribution of true exposures needs to be known or estimated in addition to the distribution of recorded exposures conditional on true exposures. Usually the exposure uncertainty biases the model parameters toward the null and underestimates the precision. But when several parameters are allowed to be dependent on exposure, e.g. initiation and promotion, then their relative importance is also influenced, and more complicated effects of exposure uncertainty can occur. The application part of this paper shows for two different types of Berkson errors that a recent analysis of the data for the Colorado plateau miners with the TSCE model is not changed substantially when correcting for such errors. Specifically, the conjectured promoting action of radon remains as the dominant radiation effect for explaining these data. The estimated promoting action of radon increases by a factor of up to 1.2 for the largest assumed exposure uncertainties.

Body Burden↗
PubMed2003

Exploring heterogeneity in tumour data using Markov chain Monte Carlo.

We describe a Bayesian approach to incorporate between-individual heterogeneity associated with parameters of complicated biological models. We emphasize the use of the Markov chain Monte Carlo (MCMC) method in this context and demonstrate the implementation and use of MCMC by analysis of simulated overdispersed Poisson counts and by analysis of an experimental data set on preneoplastic liver lesions (their number and sizes) in the presence of heterogeneity. These examples show that MCMC-based estimates, derived from the posterior distribution with uniform priors, may agree well with maximum likelihood estimates (if available). However, with heterogeneous parameters, maximum likelihood estimates can be difficult to obtain, involving many integrations. In this case, the MCMC method offers substantial computational advantages.

Animals↗
PubMed2003

Multistage carcinogenesis and the incidence of human cancer.

We consider the implications of multistage carcinogenesis for the incidence of cancer in human populations. When clonal expansion of partially altered cells is properly accounted for, we find it unnecessary to invoke genomic instability as an early event in malignant transformation. Environmental agents that increase the rate of clonal expansion of partially altered cells are efficient carcinogens. As a corollary, intervention strategies that decrease this rate are to be preferred to strategies that decrease the rate of early mutational events in carcinogenesis.

Age Factors↗
PubMed2002

Multistage carcinogenesis and the incidence of colorectal cancer.

We use general multistage models to fit the age-specific incidence of colorectal cancers in the Surveillance, Epidemiology, and End Results registry, which covers approximately 10% of the U.S. population, while simultaneously adjusting for birth cohort and calendar year effects. The incidence of colorectal cancers in the Surveillance, Epidemiology, and End Results registry is most consistent with a model positing two rare events followed by a high-frequency event in the conversion of a normal stem cell into an initiated cell that expands clonally to give rise to an adenomatous polyp. Only one more rare event appears to be necessary for malignant transformation. The two rare events involved in initiation are interpreted to represent the homozygous loss of adenomatous polyposis coli gene function. The subsequent transition of a preinitiated stem cell into an initiated cell capable of clonal expansion via symmetric division is predicted to occur with a frequency too high for a mutational event but may reflect a positional effect in colonic crypts. Our results suggest it is not necessary to invoke genomic instability to explain colorectal cancer incidence rates in human populations. Temporal trends in the incidence of colon cancer appear to be dominated by calendar year effects. The model also predicts that interventions, such as administration of nonsteroidal anti-inflammatory drugs, designed to decrease the growth rate of adenomatous polyps, are very efficient at lowering colon cancer risk substantially, even when begun later in life. By contrast, interventions that decrease the rate of mutations at the adenomatous polyposis coli locus are much less effective in reducing the risk of colon cancer.

Adenomatous Polyposis Coli↗
PubMed2002

Multistage carcinogenesis and radiation.

We will briefly review the concept of multistage carcinogenesis and the mathematical models built on this idea, including a class of models recently developed to describe the pathogenesis of colon cancer. The simplest model that explicitly accounts for cell proliferation kinetics is the two-stage clonal expansion model. It has been applied to a number of experimental and epidemiological data sets and has generated several thought-provoking hypotheses, especially as they relate to the role of promotion in radiation-induced carcinogenesis. The model generates hazard functions (used to estimate age-specific cancer incidence) that are not always intuitive because of the stochastic nature of the clonal expansion process involved. However, the model does make specific predictions depending on whether initiation, promotion or malignant conversion is affected by a carcinogen. A recent analysis of a large cohort of radiation workers exemplifies this behaviour.

Animals↗
PubMed2002

Multistage models and the incidence of cancer in the cohort of atomic bomb survivors.

The analyses in this paper show that a number of biologically based models describe cancer incidence among the A-bomb survivors equally well. However, these different models can predict very different temporal patterns of risk after irradiation. No evidence was found to support the previous claim of Pierce and Mendelsohn that excess cancer risks for the solid tumors depend only upon attained age and not on age at exposure or time since exposure. Although the A-bomb survivor cohort is the largest epidemiological data set for the study of radiation and cancer, it is not large enough to discriminate among various possible carcinogenic mechanisms. Unfortunately for hypothesis generation, the data appear to be consistent with a number of different mechanistic interpretations of the role of radiation in carcinogenesis.

Adult↗