Implementing biological hybrid systems: Allowing composition and avoiding stiffness
SHERMAN, David James
Models and Algorithms for the Genome [ MAGNOME]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Models and Algorithms for the Genome [ MAGNOME]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
SHERMAN, David James
Models and Algorithms for the Genome [ MAGNOME]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
< Leer menos
Models and Algorithms for the Genome [ MAGNOME]
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Idioma
en
Article de revue
Este ítem está publicado en
Applied Mathematics and Computation. 2013-08-12
Elsevier
Resumen en inglés
The theory of hybrid systems allows us to model biological functions with many interactive processes, describe complexity and hierarchy levels, and consider behavior law changes. However, we need to develop an implementation ...Leer más >
The theory of hybrid systems allows us to model biological functions with many interactive processes, describe complexity and hierarchy levels, and consider behavior law changes. However, we need to develop an implementation to simulate these models. The BioRica framework allows a non-ambiguous implementation, and, as shown here, the QSS method (Quantized States Systems) helps us to approach complex systems in a more efficient way. This method allows us to numerically solve stiff differential equations by separately choosing the temporal partition for each sub-model and variable, depending on how fast it changes over time. With that, one obtains more accurate solutions and decreases the number of computations compared to classic methods. Moreover, QSS does not need to store trajectories and interpolate when mode transitions occur between partition times. Herein, we exhibit a translation from BioRica to QSS models, which preserves the semantics. We implement QSS method with BioRica, and illustrate with applications in Biology, the Tyson model of cell cycle, and examples in Engineering.< Leer menos
Palabras clave en inglés
Hybrid systems in Biology
BioRica
Quantized states system
Stiffness
Orígen
Importado de HalCentros de investigación