Nonlinear dynamics of immunogenic tumors: parameter estimation and global bifurcation analysis
Paper cited by one technology page, indexed on Europe PMC as PubMed record 8186756 and published in Bulletin of mathematical biology; the citing page links this DOI, which is how the record was matched.
Overview
We present a mathematical model of the cytotoxic T lymphocyte response to the growth of an immunogenic tumor. The model exhibits a number of phenomena that are seen in vivo, including immunostimulation of tumor growth, "sneaking through" of the tumor, and formation of a tumor "dormant state". The model is used to describe the kinetics of growth and regression of the B-lymphoma BCL1 in the spleen of mice. By comparing the model with experimental data, numerical estimates of parameters describing processes that cannot be measured in vivo are derived. Local and global bifurcations are calculated for realistic values of the parameters. For a large set of parameters we predict that the course of tumor growth and its clinical manifestation have a recurrent profile with a 3- to 4-month cycle, similar to patterns seen in certain leukemias.
Indexed on Europe PMC as PubMed record 8186756 (DOI 10.1007/bf02460644). Matched by DOI alone: one technology page cites this DOI among its external links (the pages are listed under Related), and this page was written so that the citation resolves inside OnCo. No figure has been checked by an editor.
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