Probe Selection
CREATED: 200710180852 ** Probe Selection
- temperature of hybridization different for different probes, depends on sequence
** Framework
Generate candidate probes
Select probes
** choose few probes to identify target, difficult to use unique probes due to errors, similarities, additional constraints
Form microarray
** Hybridization Matrix columns - $p_1, p_2, \ldots, p_m$ (probes) rows - $t_1, t_2, \ldots, t_n$ (targets)
If sample has S targets, union of the S rows must be distint
** Concept of separable, d-separable
- d probes can tell all different subset S and T up to cardinality c apart
** Greedy algorithm
- cover each row with k ones, add rows until constraints are satisfied