## Abstract Mathematical modeling of the thermopolymerization of FM and CMFMA was carried out using a cross‐linked kinetic model proposed for the photo‐initiated polymerization of acryl‐furanic compounds. In this model, the photochemical initiation step was substituted by a thermal one and it was a
Kinetic Heterogeneity of an Experimental Tumour Revealed by BrdUrd Incorporation and Mathematical Modelling
✍ Scribed by Alessandro Bertuzzi; Mario Faretta; Alberto Gandolfi; Carmela Sinisgalli; Giuseppe Starace; Giorgio Valoti; Paolo Ubezio
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 309 KB
- Volume
- 64
- Category
- Article
- ISSN
- 1522-9602
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✦ Synopsis
In the present paper we propose a method of analysis of the cell kinetic characteristics of in vivo experimental tumours, that uses DNA-BrdUrd flow cytometry data at various times after the bromodeoxyuridine (BrdUrd) injection and mathematical modelling. The model of the cell population takes into account the cell-cell heterogeneity of the progression rate across cell cycle phases within the tumour, and assumes a strict correlation between the durations of S and G2M phases. The model also allows for a nonconstant DNA synthesis rate across S phase. In addition, the measurement process is modelled, considering the possibility of nonimpulsive labelling and providing a representation of the time course of the bivariate DNA-BrdUrd fluorescence distribution. Sequential DNA-BrdUrd distributions were obtained in vivo from a human ovarian carcinoma transplanted in mice and, for comparison, in vitro from a cell line of the same origin. From these data, that included the fractional density and the mean BrdUrd-fluorescence of BrdUrdpositive cells as a function of the DNA-fluorescence, kinetic parameters such as the potential doubling time (T pot ) and the mean and variance of the transit times in S and G2M phases, were estimated. This study revealed the presence of a substantial heterogeneity in S and G2M phases within the in vivo cell population and of a lower heterogeneity in the in vitro population. Moreover, our analysis suggests a nonnegligible effect of the BrdUrd pharmacokinetics in the in vivo cell labelling.
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