Mathematical modeling of lymphocytes selection in the germinal center
Lymphocyte selection is a fundamental process of adaptive immunity. In order to produce B-
lymphocytes with a target antigenic profile, mutation selection and division occur in the …
lymphocytes with a target antigenic profile, mutation selection and division occur in the …
[HTML][HTML] On the modelling of genetic mutations and immune system competition
C Bianca, M Delitala - Computers & Mathematics with Applications, 2011 - Elsevier
This paper deals with the modelling of genetic mutations, which occur in almost all cells of a
living system. The mutated cells display different stages of progression and are contrasted …
living system. The mutated cells display different stages of progression and are contrasted …
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 …
players, the lymphocytes, are able to recognize specific foreign invaders (antigens) with their …
Multi-type galton–watson processes with affinity-dependent selection applied to antibody affinity maturation
We analyze the interactions between division, mutation and selection in a simplified
evolutionary model, assuming that the population observed can be classified into fitness …
evolutionary model, assuming that the population observed can be classified into fitness …
The cyton model for lymphocyte proliferation and differentiation
We discuss a stochastic model for lymphocyte population dynamics based on the interaction
of sub-cellular mechanisms responsible for cell death, division and differentiation …
of sub-cellular mechanisms responsible for cell death, division and differentiation …
[PDF][PDF] Mathematical models of clonal expansion
G Turchetti, S Rambaldi, G Salustri… - … ON BIOLOGY AND …, 2004 - Citeseer
We present a simple microscopic model for the clonal expansion of the immune system. We
consider the virgin T lymphocytes moving in a network (the lymphatic system) through which …
consider the virgin T lymphocytes moving in a network (the lymphatic system) through which …
Critical analysis and perspectives on kinetic (cellular) theory of immune competition
M Delitala - Mathematical and computer modelling, 2002 - Elsevier
This paper deals with a critical analysis of the kinetic cellular theory which refers to the
modelling of the immune response to the evolution of the progression of endothelial cells …
modelling of the immune response to the evolution of the progression of endothelial cells …
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 …
been developed. The model focuses on the role of antigen in initiating and regulating B cell …
[PDF][PDF] A contribution to the mathematical modeling of immune-cancer competition
NMO Dabnoun, MS Mongiovì - Communications in Applied and …, 2018 - sciendo.com
This paper deals with the modeling of interactions between the immune system and cancer
cells, in the framework of the mathematical kinetic theory for active particles. The work …
cells, in the framework of the mathematical kinetic theory for active particles. The work …
Agent-based models or differential equations: two ways to learn about selection mechanisms in germinal centres
M MEYER-HERMANN - Biophysical Reviews and Letters, 2008 - World Scientific
The germinal centre reaction selects B cells from a large diversity of clones in order to
optimise the efficiency of an immune response. We discuss two rather different approaches …
optimise the efficiency of an immune response. We discuss two rather different approaches …