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 …

A simplified and comprehensive computational model to study the behavior of T cell populations in the thymus during normal maturation and in infection with mouse …

G Wang, GR Krueger, LM Buja - In Vivo (Athens, Greece), 2003 - europepmc.org
Based on a previously developed theory of dysregulative lymphoma pathogenesis, an
advanced mathematical model was developed for simulation of thymic T cell populations …

16 Modelling T cell activation, proliferation, and homeostasis

AJ Yates, CCT Chan, RE Callard - Studies in Multidisciplinarity, 2005 - Elsevier
Publisher Summary This chapter discusses the biology of T-cell receptor (TCR) activation,
proliferation, and homeostasis and explains the way in which mathematical approaches …

A general mathematical method for investigating the thymic microenvironment, thymocyte development, and immunopathogenesis

G Wang, GRF Krueger - Mathematical Biosciences & Engineering, 2004 - aimsciences.org
T-lymphocyte (T-cell) development constitutes one of the basic and most vital processes in
immunology. The process is profoundly affected by the thymic microenvironment, the …

A biodynamical model of human T-cell development and pathology: design, testing and validation

ME Brandt, GRF Krueger, G Wang - Selected Aspects of Cancer …, 2008 - Springer
We describe a coupled ordinary differential equation model of human T-cell proliferative
disorders based upon documented changes in various pools such as the bone marrow …

[HTML][HTML] 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 …

Estimation of the proliferation and maturation functions in a physiologically structured model of thymocyte development: Function estimation in thymocyte model

G Wang - Journal of Mathematical Biology, 2007 - Springer
The thymus provides a stable microenvironment for post-natal thymocyte development that
is finely regulated by a complicated network of cytokines, chemokines, cell-cell contacts, etc …

Chapter 7: Biomathematical engineering of cell renewal systems: An approach to a biomathematical model of lymphocytopoiesis

EP Hofer, S Brücher, K Mehr, B Tibken - Stem Cells, 1995 - academic.oup.com
Fundamental principles for the development of a biomathematical model of
lymphocytopoiesis are presented in this paper. The first step in this modeling approach is …

A regenerating computer model of the thymus

JR Lumb - Computers and Biomedical Research, 1975 - Elsevier
This computer model simulates the cell population kinetics of the development and later
degeneration of the thymus. Nutritional factors are taken into account by the growth of blood …

[BOOK][B] Mathematical models of tumor growth and therapy

M Robertson-Tessi - 2010 - search.proquest.com
A number of mathematical models of cancer growth and treatment are presented. The most
significant model presented is of the interactions between a growing tumor and the immune …