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Bull Math Biol ; 79(9): 2049-2067, 2017 Sep.
Article in English | MEDLINE | ID: mdl-28721472

ABSTRACT

In this paper, we consider a direct protein transfer process between cells in co-culture. Assuming that cells continually encounter each other, and from some hypotheses on cell-to-cell rules of transfer, we derive discrete and continuous Boltzmann-like integro-differential equations. The novelty of this model is to take into account multiple transfer rules. This new transfer model is used to fit the experimental data of cell-to-cell protein transfer in breast cancer.


Subject(s)
ATP Binding Cassette Transporter, Subfamily B/metabolism , Breast Neoplasms/metabolism , Models, Biological , Neoplasm Proteins/metabolism , Breast Neoplasms/drug therapy , Cell Communication , Coculture Techniques , Computer Simulation , Drug Resistance, Neoplasm , Female , Humans , MCF-7 Cells , Mathematical Concepts , Protein Transport
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