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TREEKIN(1) User Commands TREEKIN(1)

treekin - manual page for treekin 0.5.1

treekin [OPTIONS]... [FILES]...

treekin 0.5.1

Compute biopolymer macrostate dynamics

treekin computes a reduced dynamics of biopolymer folding by means of numeric integration of a Markov process that generally operates at the level of macrostates, i.e. basins of attraction of the underlying energy landscape.

treekin expects a .bar file via stdin, and optionally a rates file in the current working directory. Both the .bar file and the rates file (default name is rates.out) can be obtained from barriers. In case of -m I option (default) the program needs just the rate file provided as standard input.

-h, --help
Print help and exit
-V, --version
Print version and exit
-a, --absorb=state
Make a state absorbing
-m, --method=STRING
Select method to build transition matrix: A ==> Arrhenius-like kinetics
I ==> use input as a rate matrix
(possible
values="A", "I" default=`I')
--num-err=STRING
Specify how to treat issues with numerical errors in probability: I ==> Ignore H ==> Halt the program R ==> Rescale the probability (possible values="I", "H", "R" default=`H')
--t0=time
Start time (default=`0.1')
--t8=time
Stop time (default=`1E12')
-T, --Temp=DOUBLE
Temperature in Celsius (default=`37.0')
-n, --nstates=INT
Read only first <int> states (assume quasi-stationary distribution (derivation of others is = 0))
--p0=STRING
Set initial population of state <int> to <double> Can be given multiple times (NOTE: sum of <double> must equal 1) (example: "--p0 2=1.0" - state 2 has initial population 100 percent)
--tinc=DOUBLE
Time scaling factor (for log time-scale) (default=`1.02')
--degeneracy
Consider degeneracy in transition rates (default=off)
--exponent
Use matrix-expontent routines, rather than diagonalization (default=off)
--dumpU
Dump transition matrix U to file mx.txt (and to binary mx.bin - not fixed yet) (default=off)
--mathematicamatrix
Dump transition matrix U to Mathematica-readable file mxMat.txt (default=off)
-b, --bin
Assume binary rates input (default=off)
-B, --bar=STRING
Read barriers input from file instead of standard input. Required in case "-m I" (rates kinetics) AND "-a" (absorbing state) is given
-t, --fpt=STRING
Compute first passage times (FPT). Arguments: all => compute all FPT (slow) <num> - compute FPT to state <num> from all states
-r, --recoverE
Recover from pre-ccomputes eigenvalues and eigenvectors (default=off)
-e, --dumpE
Dump eigenvalues and eigenvectors to a binary recovery file and continue with iteration (default=off)
-x, --dumpX
Dump eigenvalues to ASCII file and exit (do not iterate) (default=off)
--info
Show settings (default=off)
-f, --ratesfile=STRING
Read transition rates from file instead of standard input.
-v, --verbose
Verbose output (default=off)
-q, --quiet
Be silent (do not print out the output) (default=off)
--fptfile=STRING
Filename of FPT file (provided -t option given)
--visualize=STRING
Filename where to print a visualization of rate graph (without file subscript, two files will be generated: .dot and .eps with text and visual representation of graph)
--just-shorten
Do not diagonalize and iterate, just shorten input (meaningfull only with -n X option or -fpt option or --visualize option) (default=off)
--max-decrease=INT
Maximal decrease in dimension in one step (default=`1000000')
--feps=DOUBLE
Machine precision used by LAPACK routines (and matrix aritmetic) -- if set to negative number, the lapack suggested value is used (2*DLAMCH("S") ) (default=`1E-15')
--useplusI
Use old treekin computation where we add identity matrix to transition matrix. Sometimes less precise (maybe sometimes also more precise), in normal case it should not affect results at all. (default=off)
--minimal-rate=DOUBLE
Rescale all rates to be higher than the minimal rate using formula "rate -> rate^(ln(desired_minimal_rate)/ln(minimal_rate))", where desired_minimal_rate is from input, minimal_rate is the lowest from all rates in rate matrix.
--hard-rescale=DOUBLE
Rescale all rates by a hard exponent (usually 0.0<HR<1.0). Formula: "rate -> rate^(hard-rescale)". Overrides --minimal-rate argument.
--equil-file=STRING
Write equilibrium distribution into a file.
--times=DOUBLE
Multiply rates with a constant number.
--warnings
Turn all the warnings about underflow on. (default=off)
-c, --mlapack-precision=INT
Number of bits for the eigenvalue method of the mlapack library. A value > 64 is recommended, otherwise the standard lapack method would be faster.
--mlapack-method=STRING
The mlapack precision method. "LD", "QD", "DD", "DOUBLE", "GMP", "MPFR", "FLOAT128". You have to set mlapack-precision if "GMP", "MPFR" is selected! "LD" is the standard long double with 80 bit.

M.T. Wolfinger, W.A. Svrcek-Seiler, Ch. Flamm, I.L. Hofacker, P.F. Stadler "Efficient computation of RNA folding dynamics" J.Phys.A: Math.Gen. 37: 4731-4741 (2004)

I.L. Hofacker, Ch. Flamm, Ch. Heine, M.T. Wolfinger, G. Scheuermann, P.F. Stadler "BarMap: RNA folding on dynamic energy landscapes" RNA: 2010 16: 1308-1316 (2010)

Typically, computation of a reduced dynamics based on the analysis of folding landscapes requires two steps: Elucidation of the landscape (topology) and - based on that - calculation of the reduced dynamics.

The first step involves computing the relevant properties of an energy landscape by barriers (see barriers(1) for details). The resulting .bar-file contains information on local minima, basins, saddle points as well as thermodynamic properties of the energy landscape. Additionally, the --rates option in the below example triggers barriers to generate another output file (rates.out) containing the transition rates between all pairs of macrostates (ie. basins of attraction), calculated by summing over the corresponding microscopic rates.

  $ barriers --saddle --bsize --rates < foo.sub > foo.bar

In a second step, treekin is called with options to calculate the macrostate dynamics on the previously generated landscape by means of applying microscopic transition rates (option -m I):

  $ treekin --p0 2=1 < rates.out

In this example, the simulation starts with 100% of the initial population in macrostate 2, i.e. the second lowest minimum in the barrier tree (option --p0 2=1). The transition matrix is computed from a set of microscopic rates, read from a rates file (as computed by barriers).

Generally, calculation of the macrostate dynamics by means of microscopic rates (option -m I) is consiberably more accurate than the simplified Arrhenius-like dynamics (option -m A).

Looking at the default output produced by treekin, there are two sections: Overall status information on the computation (marked by hash signs at the beginning of the line) are printed at the top. Below, the actual data is printed for each time step in (n+1) space-separated columns, where n is the number of investigated (macro)states. The first column lists the current time, whereas all remaining columns correspond to the population probabilities of individual (macro)states.

Michael T. Wolfinger, Marcel Kucharik, Ivo Hofacker, Christoph Flamm, Andreas Svrcek-Sailer, Peter Stadler.

barriers(1)
June 2019 treekin 0.5.1

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