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Methods Inf Med 1987; 26(03): 117-123
DOI: 10.1055/s-0038-1636689
Original Article
Schattauer GmbH

A Stochastic Model for the Inheritance of the Cancer Proneness Phenotype

Ein stochastisches Modell der Vererbung des krebsempfänglichen Phänotyps
P. Tautu
1   (From the Institute of Epidemiology and Biometry, Department of Mathematical Models, The German Cancer Research Center, Heidelberg, FRG)
,
G. Wagner
1   (From the Institute of Epidemiology and Biometry, Department of Mathematical Models, The German Cancer Research Center, Heidelberg, FRG)
› Author Affiliations
Further Information

Publication History

Publication Date:
20 February 2018 (online)

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Summary

A continuous parameter, stationary Gaussian process is introduced as a first approach to the probabilistic representation of the phenotype inheritance process. With some specific assumptions about the components of the covariance function, it may describe the temporal behaviour of the “cancer-proneness phenotype” (CPF) as a quantitative continuous trait. Upcrossing a fixed level (“threshold”) u and reaching level zero are the extremes of the Gaussian process considered; it is assumed that they might be interpreted as the transformation of CPF into a “neoplastic disease phenotype” or as the non-proneness to cancer, respectively.

Ein stetiger stationärer Gauss-Prozess wird als erster Ansatz einer probabilistischen Darstellung des phänotypischen Vererbungsprozesses vorgestellt. Unter Annahme einiger spezifischer Komponenten der Kovarianzfunktion kann er das zeitliche Verhalten des krebsempfänglichen Phänotyps als quantitatives, stetiges Charakteristikum beschreiben. Das Überschreiten eines bestimmten Schwellenwertes und das Erreichen eines Null-Niveaus sind die Extreme des betrachteten Gauss-Prozesses: es wird angenommen, daß sie. als Transformation des krebsempfänglichen Phänotyps in einen “neoplastischen Krankheitsphänotyp” oder als Nichtemp-fänglichkeit für Krebs interpretiert werden könnten.

Key-Words:

Cancer Proneness Phenotype - Familial Cancer - Gaussian Process

Schlüssel-Wörter:

Krebsempfänglicher Phänotyp - familiärer Krebs - Gauss-Prozess
 

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