Journal ArticleDOI
Monte Carlo simulation of the shape space model of immunology
Reads0
Chats0
TLDR
In this paper, the shape space model of de Boer, Segel and Perelson for the immune system is studied with a probabilistic updating rule by Monte Carlo simulation, and a suitable mathematical form is chosen for the probability of increase of B-cell concentration depending on the concentration around the mirror image site.Abstract:
The shape space model of de Boer, Segel and Perelson for the immune system is studied with a probabilistic updating rule by Monte Carlo simulation. A suitable mathematical form is chosen for the probability of increase of B-cell concentration depending on the concentration around the mirror image site. The results obtained agree reasonably with the results obtained by deterministic cellular automata.read more
Citations
More filters
Journal ArticleDOI
The Role of Computational Models of the Immune System in Designing Vaccination Strategies
TL;DR: The role of mathematical/computational models of the immune system are described and some examples of how mathematical modeling can contribute to finding optimal vaccination strategies are analyzed.
Journal ArticleDOI
Computer simulation of immunological cellular automata: The Tsallis model
TL;DR: A modification of the model of de Boer, van der Laan, and Hogeweg is discussed where a condition favorable to the growth of antibody cells lets not only that cell type grow, but with equal probability also one of its neighbors in immunological shape space.
Journal ArticleDOI
A local-field-type model for immunological systems: time evolution in real and shape spaces
TL;DR: In this paper, a new model for the interaction of immunological cells that takes into account their location in real space is introduced, where each one of the model cells mimics the real B cells in the sense that they detect antigens and they are also capable of reproducing themselves.
Journal ArticleDOI
Self-reorganizations in a simple model of the immune system
TL;DR: In this article, a simple 2D shape space model of the immune system is presented, where a network of clones is perturbed by long-lived molecules whose presence triggers the disappearance (avalanche) of existing clones.
The 'shape-space' and 'affinity landscape' immunological paradigms
TL;DR: This work reviews the inception and early application of the 'shape-space' formalism and fitness-inspired affinity landscape in theoretical immunology and reviews a framework that unifies both ideas for use investigating artificial immune systems with regard to general application not limited to pattern recognition.
References
More filters
Journal ArticleDOI
Pattern formation in one- and two-dimensional shape-space models of the immune system
TL;DR: A large-scale model of the immune network is analyzed, using the shape-space formalism, and how the repertoire organizes itself into large clusters of clones having similar behavior is described.
Journal ArticleDOI
High-dimensional simulation of the shape-space model for the immune system
TL;DR: This work simulates a d-dimensional hypercubic lattice with dimension d up to 10 and checks for the concentration of B cells and the stability against localized perturbations (“damage spreading”).
Related Papers (5)
Theoretical studies of clonal selection: minimal antibody repertoire size and reliability of self-non-self discrimination.
Pattern formation in one- and two-dimensional shape-space models of the immune system
Morphogenesis in shape-space. Elementary meta-dynamics in a model of the immune network.
John Stewart,Francisco J. Varela +1 more