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C D Sherman

Publications and source records attributed to C D Sherman.

At least 19 recordsLinked to original sources
PubMed2000

Calculation of the cumulative distribution function of the time to a small observable tumor.

Multistage mathematical models of carcinogenesis (when applied to tumor incidence data) have historically assumed that the growth kinetics of cells in the malignant state are disregarded and the formation of a single malignant cell is equated with the emergence of a detectable tumor. The justification of this simplification is, from a mathematical point of view, to make the estimation of tumor incidence rates tractable. However, analytical forms are not mandatory in the estimation of tumor incidence rates. Portier et al.(1996b, Math. Biosci. 135, 129-146) have demonstrated the utility of the Kolmogorov backward equations in numerically calculating tumor incidence. By extending their results, the cumulative distribution function of the time to a small observable tumor may be numerically obtained.

Adenoma, Liver Cell↗
PubMed1997

The two-stage model of carcinogenesis: overcoming the nonidentifiability dilemma.

The two-stage mathematical model of carcinogenesis has been shown to be nonidentifiable whenever tumor incidence data alone is used to fit the model (Hanin and Yakovlev, 1996). This lack of identifiability implies that more than one parameter vector satisfies the optimization criteria for parameter estimation, e.g., maximum likelihood estimation. A question of greater concern to persons using the two-stage model of carcinogenesis is under what conditions can identifiable parameters be obtained from the observed experimental data. We outline how to obtain identifiable parameters for the two-stage model.

Animals↗
PubMed1996

Calculating tumor incidence rates in stochastic models of carcinogenesis.

Multistage models of carcinogenesis are increasingly used in the estimation of risks from exposure to environmental agents. The two-stage model of carcinogenesis is routinely used because it agrees with much of the existing tumor incidence data, parallels the biological two-stage model, and has much of its mathematical details derived. However, recent findings on the mechanisms of carcinogenesis has led researchers to believe that there are a greater number of stages and a more complex structure to these models than a single pathway. In this paper, a method for readily computing tumor incidence rates for arbitrarily complex multistage models is derived. The formulas for the two-stage model with time-varying rates are given explicitly. Simple rules for more complicated models are given, and computer code able to implement these formulas are provided.

Animals↗
PubMed1996

Modeling the number and size of hepatic focal lesions following exposure to 2,3,7,8-TCDD.

Data on the size and number of placental glutathione S-transferase-positive (PGST+) foci were collected from a two-stage hepatocarcinogenesis model in female Sprague-Dawley rats. the study consisted of multiple 2,3,7,8-tetrachlorodibenzo-p-dioxin (TCDD)-exposed dose groups including both diethylnitrosomine (DEN)-initiated and uninitiated animals. Groups were observed after 15 or 31 weeks of TCDD exposure. The parameters in the first half of a two-stage mathematical model of carcinogenesis were estimated from these data. If the model is valid, the results suggest that TCDD stimulates the production of PGST+ foci and promotes the growth of PGST+ foci. This finding suggests a complicated mechanism for TCDD-induced production of Hepatic foci that we refer to as activation, labeling TCDD as an activator. The analysis also indicates that there is an interaction between DEN and TCDD which results in dose-related formation of initiated cells throughout the study period. Best-fitting curves (using maximum likelihood methods) for TCDD-induced activation and promotion reached saturation levels at low doses of TCDD. In summary, the model fit the data well, but leads to an interpretation of the data which either questions the validity of the model or implies that our understanding of the effects of TCDD and DEN is incomplete.

Adenosine Triphosphate↗
PubMed1996

Stochastic simulation of a multistage model of carcinogenesis.

Stochastic mathematical models of carcinogenesis have been used to quantify cancer risks for about 40 years. As more detailed data of the cancer process are obtained, mathematical models try to incorporate this information and as a result become more complex and sometimes analytically and numerically intractable. Simulation studies have become an important tool for examining the operating characteristics of the models of interest. The many quantities one can examine using this tool include bias in parameter estimates, adequacy of approximation methods, and the appropriateness of large sample generalizations to small studies. This manuscript describes a general method of stochastic simulation that may be carried out for arbitrarily complicated stochastic models of carcinogenesis.

Cell Division↗
PubMed1995

Quantitative analysis of multiple phenotype enzyme-altered foci in rat hepatocarcinogenesis experiments: the multipath/multistage model.

The promotional effect of phenobarbital and 1-hydroxymethyl-pyren on enzyme altered lesions in the rat liver were quantified within the framework of two separate multipath/multistage models. The experiment analyzed followed an initiation-promotion protocol in which female Wistar rats were initiated with a single dose of diethylnitrosamine at 0.15 mumol/g body wt followed by a 3 week treatment-free period. A promotor, 1-hydroxymethyl-pyren or phenobarbital was then administered continuously in the diet for 120 days. All animals were sacrificed 3 weeks after treatment and their livers were examined for enzyme histological changes. Focal lesions were classified into three phenotype categories: adenosine triphosphatase altered (ATPase), sulfotransferase altered (ST) and jointly altered lesions (ATPase and ST). Quantitative methods were used to analyze the data, which consisted of the number and sizes of these enzyme-altered lesions. Both multipath/multistage models fitted to the data clearly demonstrate that phenobarbital promotion produced more observable and larger foci than promotion via 1-hydroxymethyl-pyren and that the growth kinetics of the jointly altered lesions were elevated relative to the lesions expressing a single marker. It was not possible with these data to determine if there was a predominant sequence in the formation of jointly altered lesions.

Adenosine Triphosphatases↗
PubMed1994

Multistage models of carcinogenesis: an approximation for the size and number distribution of late-stage clones.

Multistage models have become the basic paradigm for modeling carcinogenesis. One model, the two-stage model of carcinogenesis, is now routinely used in the analysis of cancer risks from exposure to environmental chemicals. In its most general form, this model has two states, an initiated state and a neoplastic state, which allow for growth of cells via a simple linear birth-death process. In all analyses done with this model, researchers have assumed that tumor incidence is equivalent to the formation of a single neoplastic cell and the growth kinetics in the neoplastic state have been ignored. Some researchers have discussed the impact of this assumption on their analyses, but no formal methods were available for a more rigorous application of the birth-death process. In this paper, an approximation is introduced which allows for the application of growth kinetics in the neoplastic state. The adequacy of the approximation against simulated data is evaluated and methods are developed for implementing the approximation using data on the number and size of neoplastic clones.

Animals↗
PubMed1993

Using cell replication data in mathematical modeling in carcinogenesis.

Risk estimation involves the application of quantitative models of dose versus response to carcinogenicity data. Recent advances in biology, computing, and mathematics have led to the application of mathematically complicated, mechanistically based models of carcinogenesis to the estimation of risks. This paper focuses on two aspects of this application, distinguishing between models using available data and the development of new models to keep pace with research developments.

Animals↗
PubMed1990

Maturation in Larch : II. Effects of Age on Photosynthesis and Gene Expression in Developing Foliage.

The effect of maturation on the morphological and photosynthetic characteristics, as well as the expression of two genes involved in photosynthesis in the developing, current year foliage of Eastern larch (Larix laricina [Du Roi]) is described. These effects were observed on foliage during the third growing season after grafting of scions from trees of different ages onto 2 year old rootstock. Specific leaf weight (gram dry weight per square meter), leaf cross-sectional area (per square millimeter), and chlorophyll content (milligram per gram dry weight) all increase with increasing age in long shoot foliage from both indoor- and outdoor-grown trees. Net photosynthesis (NPS) (mole of CO(2) per square millimeter per second) increases with age on indoor- but not outdoor-grown trees. NPS also increases with increased chlorophyll content, but outdoor-grown scions of all ages had higher chlorophyll content, and chlorophyll does not appear to be limiting for NPS outdoors. To extend these studies of maturation-related differences in foliar morphology and physiology to the molecular genetic level, sequences were cloned from the cab and rbsS gene families of larch. Both cab and rbcS gene families are expressed in foliage but not in roots, and they are expressed in light-grown seedlings of larch but only at very low levels in dark-grown seedlings (~2% of light-grown seedlings). Steady-state cab mRNA levels are relatively higher (~40%) in newly expanding short shoot foliage from juvenile plants compared to mature plants. Unlike cab, the expression of the rbcS gene family did not seem to vary with age. These data show that the maturation-related changes in morphological and physiological phenotypes are associated with changes in gene expression. No causal relationship has been established, however. Indeed, we conclude that the faster growth of juvenile scions reported previously (MS Greenwood, CA Hopper, KW Hutchison [1989] Plant Physiol 90: 406-412) is not due to increased NPS or cab expression. Long shoot foliage is the dominant foliar type on young trees and its lower specific leaf weight will permit production of more photosynthetic surface area per unit of leaf biomass.

Journal Article↗
PubMed1988

The development of "coordinating councils" for cancer education in Europe, Latin America, and the Asian-Pacific region.

This article described progressive interest in cancer education on three continents with an increasing number of national and multinational groups having a formalized role in cancer. A great deal of this activity has been stimulated by the International Union Against Cancer (UICC) through surveys, regional conferences, courses, etc. Further action at the continental, national, and local level will be strengthened considerably with the formation of new "coordinating councils" for cancer education in Europe, Latin America, and the Asian-Pacific region. These "coordinating councils" include representatives of most organizations with an interest in cancer education. A long list of projects for possible consideration by these councils is noted.

Asia↗