{'fraction_non_alphanumeric': 0.015025041736227046, 'fraction_numerical': 0.0, 'mean_word_length': 5.976744186046512, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Bidirectional Relationships and Attractor Structure of Boolean Networks

Inferring Boolean networks from non-temporal data suffers from a lack of directionality of the prediction. As a result, inferred networks often possess spurious non-singleton attractor cycles inconsistent with the assumption that the data represent the steady-state of the real genomic regulatory system. Bidirectional gene relationships can be responsible for non-singleton attractor cycles and thereby adversely affect network design. We present several results relating bidirectional gene relationships to attractor cycles.