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markovchain (version 0.6.9)

ctmc-class: Class

Description

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

Arguments

Objects from the Class

Objects can be created by calls of the form new("ctmc", states, byrow, generator, ...).

Slots

states:
Name of the states. Must be the same of colnames and rownames of the generator matrix
byrow:
Binary flag.
generator:
Square generator matrix
name:
Optional character name of the Markov chain

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.

Warning

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

References

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

See Also

generatorToTransitionMatrix,rctmc

Examples

Run this code
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)

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