Lymphocyte differentiation, repertoire development and migration: The need for mathematical models

JR Lumb - Computers & Mathematics with Applications, 1987 - Elsevier
The immune system is a tremendously complicated and important system, whose central
players, the lymphocytes, are able to recognize specific foreign invaders (antigens) with their …

[HTML][HTML] Modeling and analysis of the meta-population dynamics of lymphocyte repertoires

R Mehr - Journal of computational and applied mathematics, 2005 - Elsevier
The vertebrate adaptive immune system, with its learning and memory capabilities, is a
particularly rich example of the complexity of biological systems. The most difficult challenge …

Mathematical modelling of the immune response: A model of the proliferation control

D Přikrylová - Immunology and Epidemiology: Proceedings of an …, 1986 - Springer
The successful immune response to given antigen is manifested by elimination of antigen;
generation of antibody forming cells and production of antibody (if humoral response) or …

A mathematical model of B lymphocyte differentiation: control by antigen

P Klein, J Šterzl, J Doležal - Journal of mathematical biology, 1981 - Springer
A mathematical model of B lymphocyte differentiation, based on experimental results, has
been developed. The model focuses on the role of antigen in initiating and regulating B cell …

A continuous model studying T cell differentiation and lymphomagenesis and its distinction with discrete models

G Wang, GRF Krueger, LM Buja - Anticancer research, 2004 - ar.iiarjournals.org
The development of T-lymphocytes (T cells) constitute one of the basic and most vital
processes in immunology. Conventional mathematical models, being based on the systems …

Distribution of recirculating lymphocytes: A stochastic model foundation

RR Mohler, ZH Farooqi - Evolution and Control in Biological Systems …, 1989 - Springer
Interest in mathematical immunology has been growing. This is reflected in the several
monographs that have been published and the conferences that have been held lately …

Mathematical models of antibody response

P Klein - Folia Microbiologica, 1980 - Springer
Mathematical models of antibody response Page 1 Folia Mierobiol. 25, 430--438 (1980)
Mathematical Models of Antibody Response P. KL~,IN Deparbment of Iramunology, Institute of …

Scaling aspects of lymphocyte trafficking

AS Perelson, FW Wiegel - Journal of theoretical biology, 2009 - Elsevier
We consider the long lived pool of B and T cells that recirculate through blood, tissues and
the lymphatic system of an animal with body mass M. We derive scaling rules (allometric …

An automata-based microscopic model inspired by clonal expansion

F Zanlungo, S Rambaldi, G Turchetti - … , Neural Systems and the Brain, and …, 2008 - Springer
We present a simple model based on microscopic automata to describe the clonal
expansion process. The model is based on a repertoire of antigens and T lymphocytes …

Feedback loops, reversals and nonlinearities in lymphocyte development

R Mehr - Bulletin of mathematical biology, 2006 - Springer
Abstract Systems of differentiating cells are often regarded by experimental biologists as
unidirectional processes, in which cells spend a fixed time at each successive …