Authors:
Vincenzo Manca
and
Luca Marchetti
Affiliation:
University of Verona, Italy
Keyword(s):
Biomathematical discrete modelling, Systems biology, Metabolic P Systems.
Related
Ontology
Subjects/Areas/Topics:
Applications and Services
;
Biomedical Engineering
;
Biomedical Signal Processing
;
Computer Vision, Visualization and Computer Graphics
;
Medical Image Detection, Acquisition, Analysis and Processing
;
Physiological Processes and Bio-Signal Modeling, Non-Linear Dynamics
Abstract:
The main framework analysis for the most part of biological dynamics remains the theory of ordinary differential
equations (ODEs). However, ODEs present some intrinsic limitations in the evaluation of the kinetic
reaction rates. In contrast to ODEs, Metabolic P systems (MP systems), based on P˘aun’s P systems, were
introduced for modelling metabolic systems by means of suitable multiset rewriting grammars. In this work
three applications of MP systems are presented, for discovering the internal regulation logic of three phenomena
relevant in systems biology: i) the Goldbeter’s mitotic oscillator; ii) the glucose/insulin dynamics in the
Intravenous Glucose Tolerance Test; iii) the HER-2 oncogene-regulated transcriptome in human SUM-225
cells. Despite the differences between the considered phenomena, in all the cases a model was found that
exhibits good approximation of the observed time series and highlights results which are new or that have
been only theorized before.