We introduce a spatial extension of stochastic pi-calculus that provides a formalism to model systems of discrete, connected locations. We define the extended stochastic semantics and also give deterministic semantics in terms of a system of ordinary differential equations. We describe two simple examples, one based on a standard epidemic model and one modelling resistance in plant tissues.
We study a spatial framework for process algebra with ordinary differential equation (ODE) semantics...
1 Introduction The segment process of a continuous-time stochastic process is an important ingredien...
Providing a graduate level introduction to various aspects of stochastic geometry, spatial statistic...
We introduce a spatial extension of stochastic pi-calculus that provides a formalism to model system...
A stochastic calculus for a family of continuous measure‐valued Markov processes is developed. Such ...
Abstract. We develop a version of stochastic Pi-calculus with a seman-tics based on measure theory. ...
Abstract. In the models we will consider, space is represented by a grid of sites that can be in one...
In this paper, an abstract machine is presented for a variant of the stochastic picalculus, in order...
In this study we extend stochastic ß-calculus allowing general probabilistic distributions to occur ...
The theory of stochastic processes indexed by a partially ordered set has been the subject of much r...
International audienceThe attributed pi calculus (pi(L)) forms an extension of the pi calculus with ...
Stochastic geometry is the branch of mathematics that studies geometric structures associated with r...
Abstract. We present SpiCO, a new modeling and simulation language for systems biology. SpiCO is bas...
This book provides an introduction to the theory and applications of point processes, both in time a...
AbstractThis paper presents an abstract machine for the stochastic bioambient calculus. The abstract...
We study a spatial framework for process algebra with ordinary differential equation (ODE) semantics...
1 Introduction The segment process of a continuous-time stochastic process is an important ingredien...
Providing a graduate level introduction to various aspects of stochastic geometry, spatial statistic...
We introduce a spatial extension of stochastic pi-calculus that provides a formalism to model system...
A stochastic calculus for a family of continuous measure‐valued Markov processes is developed. Such ...
Abstract. We develop a version of stochastic Pi-calculus with a seman-tics based on measure theory. ...
Abstract. In the models we will consider, space is represented by a grid of sites that can be in one...
In this paper, an abstract machine is presented for a variant of the stochastic picalculus, in order...
In this study we extend stochastic ß-calculus allowing general probabilistic distributions to occur ...
The theory of stochastic processes indexed by a partially ordered set has been the subject of much r...
International audienceThe attributed pi calculus (pi(L)) forms an extension of the pi calculus with ...
Stochastic geometry is the branch of mathematics that studies geometric structures associated with r...
Abstract. We present SpiCO, a new modeling and simulation language for systems biology. SpiCO is bas...
This book provides an introduction to the theory and applications of point processes, both in time a...
AbstractThis paper presents an abstract machine for the stochastic bioambient calculus. The abstract...
We study a spatial framework for process algebra with ordinary differential equation (ODE) semantics...
1 Introduction The segment process of a continuous-time stochastic process is an important ingredien...
Providing a graduate level introduction to various aspects of stochastic geometry, spatial statistic...