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IJON
2006
123views more  IJON 2006»
13 years 5 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
DAGSTUHL
2004
13 years 6 months ago
Numerical Approximation of Parabolic Stochastic Partial Differential Equations
The topic of the talk were the time approximation of quasi linear stochastic partial differential equations of parabolic type. The framework were in the setting of stochastic evolu...
Erika Hausenblas
SIAMSC
2011
133views more  SIAMSC 2011»
13 years 12 days ago
On the Existence and the Applications of Modified Equations for Stochastic Differential Equations
In this paper we describe a general framework for deriving modified equations for stochastic differential equations with respect to weak convergence. Modified equations are deri...
K. C. Zygalakis
APPML
2010
103views more  APPML 2010»
13 years 5 months ago
Solutions to stochastic fractional oscillation equations
We formulate a fractional stochastic oscillation equation as a generalization of Bagley's fractional differential equation. We do this in analogous way as in the case of Bass...
Anna Karczewska, Carlos Lizama
IJON
2006
82views more  IJON 2006»
13 years 5 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