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Kuznetsov1994 - Nonlinear dynamics of immunogenic tumors


ABSTRACT: This mathematical model describes the response of cytotoxic T lymphocytes to the growth of an immunogenic tumor, with the inclusion on a number of in vivo phenomena, such as the immunostimulation of tumor growth, evasion of immune function by the tumor, and the formation of a tumor "dormant state". Specifically, this model is used to describe the kinetics of growth and regression of the B-cell lymphoma BCL1 in the spleen of mice.

SUBMITTER: Johannes Meyer  

PROVIDER: BIOMD0000000762 | BioModels | 2019-07-26

REPOSITORIES: BioModels

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Publications

Nonlinear dynamics of immunogenic tumors: parameter estimation and global bifurcation analysis.

Kuznetsov V A VA   Makalkin I A IA   Taylor M A MA   Perelson A S AS  

Bulletin of mathematical biology 19940301 2


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  ...[more]

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