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IJON
2006
123views more  IJON 2006»
13 years 4 months ago
A novel approach to model neuronal signal transduction using stochastic differential equations
We introduce a new approach to model the behavior of neuronal signal transduction networks using stochastic differential equations. We present first a mathematical formulation for...
Tiina Manninen, Marja-Leena Linne, Keijo Ruohonen
IJON
2006
82views more  IJON 2006»
13 years 4 months ago
Modeling single neuron behavior using stochastic differential equations
We model the intrinsic dynamic behavior of a neuron using stochastic differential equations and Brownian motion. Basis of our work is the deterministic one-compartmental multi-con...
Antti Saarinen, Marja-Leena Linne, Olli Yli-Harja
BMCBI
2007
136views more  BMCBI 2007»
13 years 5 months ago
Reduced modeling of signal transduction - a modular approach
Background: Combinatorial complexity is a challenging problem in detailed and mechanistic mathematical modeling of signal transduction. This subject has been discussed intensively...
Markus Koschorreck, Holger Conzelmann, Sybille Ebe...
APN
2006
Springer
13 years 6 months ago
From Petri Nets to Differential Equations - An Integrative Approach for Biochemical Network Analysis
Abstract. We report on the results of an investigation into the integration of Petri nets and ordinary differential equations (ODEs) for the modelling and analysis of biochemical n...
David Gilbert, Monika Heiner
BMCBI
2006
205views more  BMCBI 2006»
13 years 5 months ago
Application of Petri net based analysis techniques to signal transduction pathways
Background: Signal transduction pathways are usually modelled using classical quantitative methods, which are based on ordinary differential equations (ODEs). However, some diffic...
Andrea Sackmann, Monika Heiner, Ina Koch