Title
A novel approach to model neuronal signal transduction using stochastic differential equations
Abstract
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 a stochastic model of protein kinase C pathway. Different kinds of numerical integration methods, including the explicit and implicit Euler-Maruyama methods, are used to solve the Ito@^ form of the stochastic model. Stochastic models may provide more realistic representations for the chemical species in signal transduction networks compared to deterministic models. Our approach has the advantage of being computationally less demanding in the context of large-scale stochastic simulations than other approaches where individual chemical interactions are simulated stochastically.
Year
DOI
Venue
2006
10.1016/j.neucom.2005.12.047
Neurocomputing
Keywords
Field
DocType
protein kinase c,chemical species,euler–maruyama method,signal transduction,implicit euler-maruyama method,new approach,itoform,novel approach,neuronal signal transduction network,signal transduction network,large-scale stochastic simulation,different kind,individual chemical interaction,stochastic differential equation,euler-maruyama method,itô form,stochastic model,stochastic simulation,numerical integration
Applied mathematics,Stochastic optimization,Mathematical optimization,Pattern recognition,Numerical integration,Stochastic neural network,Stochastic differential equation,Artificial intelligence,Stochastic modelling,Neuronal signal transduction,Mathematics,Euler–Maruyama method
Journal
Volume
Issue
ISSN
69
10-12
Neurocomputing
Citations 
PageRank 
References 
4
0.44
3
Authors
3
Name
Order
Citations
PageRank
Tiina Manninen1757.29
Marja-Leena Linne211814.16
Keijo Ruohonen315122.20