Tissue reparative processes following tissue injury are modeled by a basic membrane system, dealing only with objects, non-active membranes, and non-deterministic evolution rules. At the biological level, tissue repair is regulated by multiple interactions between cells and macromolecules, the latter acting as signals. Such signaling components themselves are produced and removed by the resident cell population, and this set of events may provide additional stimuli for altering cell activities. The intrinsic non-determinism of the model is a key feature, which allows a mathematical description of the repair responses as well as a possibility for either functional restoration or chronic degeneration, leading to arthritis.
Knee Joint Injury and Repair Modeled by Membrane Systems
FRANCO, Giuditta;
2008-01-01
Abstract
Tissue reparative processes following tissue injury are modeled by a basic membrane system, dealing only with objects, non-active membranes, and non-deterministic evolution rules. At the biological level, tissue repair is regulated by multiple interactions between cells and macromolecules, the latter acting as signals. Such signaling components themselves are produced and removed by the resident cell population, and this set of events may provide additional stimuli for altering cell activities. The intrinsic non-determinism of the model is a key feature, which allows a mathematical description of the repair responses as well as a possibility for either functional restoration or chronic degeneration, leading to arthritis.
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