TY - JOUR

T1 - Structured biological modelling

T2 - a method for the analysis and simulation of biological systems applied to oscillatory intracellular calcium waves

AU - Kraus, Michael

AU - Lais, Peter

AU - Wolf, Bernhard

PY - 1992

Y1 - 1992

N2 - In biology signal and information processing networks are widely known. Due to their inherent complexity and non-linear dynamics the time evolution of these systems can not be predicted by simple plausibility arguments. Fortunately, the power of modern computers allows the simulation of complex biological models. Therefore the problem becomes reduced to the question of how to develop a consistent mathematical model which comprises the essentials of the real biological system. As an interface between the phenomenological description and a computer simulation of the system the proposed method of Structured Biological Modelling (SBM) uses top-down levelled dataflow diagrams. They serve as a powerful tool for the analysis and the mathematical description of the system in terms of a stochastic formulation. The stochastic treatment, regarding the time evolution of the system as a stochastic process governed by a master equation, circumvents most difficulties arising from high dimensional and non-linear systems. As an application of SBM we develop a stochastic computer model of intracellular oscillatory Ca2+ waves in non-excitable cells. As demonstrated on this example, SBM can be used for the design of computer experiments which under certain conditions can be used as cheap and harmless counterparts to the usual time-consuming biological experiments.

AB - In biology signal and information processing networks are widely known. Due to their inherent complexity and non-linear dynamics the time evolution of these systems can not be predicted by simple plausibility arguments. Fortunately, the power of modern computers allows the simulation of complex biological models. Therefore the problem becomes reduced to the question of how to develop a consistent mathematical model which comprises the essentials of the real biological system. As an interface between the phenomenological description and a computer simulation of the system the proposed method of Structured Biological Modelling (SBM) uses top-down levelled dataflow diagrams. They serve as a powerful tool for the analysis and the mathematical description of the system in terms of a stochastic formulation. The stochastic treatment, regarding the time evolution of the system as a stochastic process governed by a master equation, circumvents most difficulties arising from high dimensional and non-linear systems. As an application of SBM we develop a stochastic computer model of intracellular oscillatory Ca2+ waves in non-excitable cells. As demonstrated on this example, SBM can be used for the design of computer experiments which under certain conditions can be used as cheap and harmless counterparts to the usual time-consuming biological experiments.

KW - Oscillatory calcium waves

KW - Signal transduction

KW - Stochastic simulation

KW - Structured Biological Modelling

KW - Systems analysis

UR - http://www.scopus.com/inward/record.url?scp=0026752164&partnerID=8YFLogxK

U2 - 10.1016/0303-2647(92)90070-F

DO - 10.1016/0303-2647(92)90070-F

M3 - Article

C2 - 1334718

AN - SCOPUS:0026752164

SN - 0303-2647

VL - 27

SP - 145

EP - 169

JO - BioSystems

JF - BioSystems

IS - 3

ER -