Description Usage Arguments Details Value Examples

View source: R/Estimation_MM_kp.R

The function estimates both catalytic and MM constant simultaneously with given enzyme concentration and substrate concentration.

1 2 3 | ```
MM_catal_est(method = T, time, species, enz, subs, MM, catal, tun = 2.4,
std, nrepeat, jump = 1, burning = 0, catal_m = 1, catal_v = 10000,
MM_m = 1, MM_v = 10000)
``` |

`method` |
method selection: T=TQ model, F=SQ model(default = T) |

`time` |
observed time interval |

`species` |
observed trajectory of product |

`enz` |
enzyme concentration |

`subs` |
substrate concentration |

`MM` |
true value of MM constant |

`catal` |
initial value of catalytic constant |

`tun` |
tunning constant of MH algorithm (default=2.4) |

`std` |
standard deviation of proposal distribution (if =0, caclulated by Opt. function) |

`nrepeat` |
total number of iteration (default=10000) |

`jump` |
length of distance (default =1) |

`burning` |
lenth of burning period (default =0) |

`catal_m` |
prior mean of gamma prior (default =1) |

`catal_v` |
prior variance of gamma prior (default =10000) |

`MM_m` |
prior mean of gamma prior (default =1) |

`MM_v` |
prior variance of gamma prior (default =10000) |

The function MM_catal_est generates a set of Markov Chain Monte Carlo simulation samples from the posterior distribution of MM and catalytic constant of enzyme kinetics model. Because the function considers both MM constant and catalytic constant as parameters to be estimated, the user should input constants of enzyme concentration, substrate concentration. prior information for both two parameter can be given. The turning constant and standard deviation can be set to controlled proper mixing and acceptance ratio of MM constant from it's conditional posterior distribution. Posterior samples are only stored with fixed interval according to set "jump" to reduce serial correlation The initial iterations are removed for convergence. The burning is set the length of initial iterations.

A n*2 matrix of postrior samples of catalytic constant and MM constant

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