Simplices {CloneSeeker} | R Documentation |

## Simplices and Clonal Fractions

### Description

Utility functions for working with vectors of clonal fractions.

### Usage

```
sampleSimplex(n, d = 5)
generateSimplex(k, d, reps = 1)
```

### Arguments

`d` |
an integer, the dimension of the simplex, or the number of clones. |

`n` |
an integer, the number of vectors to sample randomly. |

`k` |
an integer, the number of equally spaced points to select along each side of the simplex while constructing a lattice. |

`reps` |
an integer, the number of times to repeat the lattice. |

### Details

When studying the clonal subpopulations of a tumor sample, we
frequently need access to vectors that contain the fraction of cells
belonging to each clone. These vectors are characterized by the fact
that each entry is nonzero and they must add up to 1. The set of such
vectors/points in d-dimensional space defines the "d-simplex". The
functions defined here allow us to work with d-simplices, either by
randomly sampling vectors (`sampleSimplex`

) or by systematically
filling the space with a regular lattice (`generateSimplex`

).

### Value

Both functions return a matrix with `d`

columns. Each row
contains nonzeo real numbers that sum to 1. The `generateSimplex`

function ensures that (a) each row is unique and (b) the entries in
each row appear in decreasing order.

### Author(s)

Kevin R. Coombes krc@silicovore.com, Mark Zucker zucker.64@buckeyemail.osu.edu

### Examples

```
sampleSimplex(5, 3)
generateSimplex(5, 3)
```

*CloneSeeker*version 1.0.11 Index]