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Journal ArticleDOI

Monte Carlo simulation of the shape space model of immunology

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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.

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Citations
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Journal ArticleDOI

Development of spatiotemporal validation methods of an agent-based model of epithelial cells: analysis of a colony of keratinocytes

TL;DR: An Agent-Based Model (ABM) to study Normal Human Keratinocytes (NHK) (tissue cells) is investigated and new variables and metrics are proposed for the development of quantitative methods to validate the model.
Proceedings ArticleDOI

Spatiotemporal Analysis of an Agent-Based Model of a Colony of Keratinocytes: A First Approach for the Development of Validation Methods

TL;DR: The main objective of this paper is to propose new variables and metrics that allow the comparison and a possible quantitative validation using numerical results from simulations of agent-based models to study normal human keratinocytes.
References
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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”).
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