Continuous time Markov Chains class

The S4 class that describes ctmc (continuous time Markov chain) objects.

Arguments

states	Name of the states. Must be the same of colnames and rownames of the generator matrix
byrow	TRUE or FALSE. Indicates whether the given matrix is stochastic by rows or by columns
generator	Square generator matrix
name	Optional character name of the Markov chain

Note

1. ctmc classes are written using S4 classes

2. Validation method is used to assess whether either columns or rows totals to zero. Rounding is used up to 5th decimal. If state names are not properly defined for a generator matrix, coercing to ctmc object leads to overriding states name with artificial "s1", "s2", ... sequence

Methods

dim

signature(x = "ctmc"): method to get the size

initialize

signature(.Object = "ctmc"): initialize method

states

signature(object = "ctmc"): states method.

steadyStates

signature(object = "ctmc"): method to get the steady state vector.

plot

signature(x = "ctmc", y = "missing"): plot method for ctmc objects

References

Introduction to Stochastic Processes with Applications in the Biosciences (2013), David F. Anderson, University of Wisconsin at Madison. Sai Bhargav Yalamanchi, Giorgio Spedicato

See also

generatorToTransitionMatrix,rctmc

Examples

energyStates <- c("sigma", "sigma_star")
byRow <- TRUE
gen <- matrix(data = c(-3, 3,
                       1, -1), nrow = 2,
              byrow = byRow, dimnames = list(energyStates, energyStates))
molecularCTMC <- new("ctmc", states = energyStates, 
                     byrow = byRow, generator = gen, 
                     name = "Molecular Transition Model")
                     steadyStates(molecularCTMC)
#>      sigma sigma_star
#> [1,]  0.25       0.75
if (FALSE) plot(molecularCTMC)