The Fa,b,c conjecture, I

In 1977 a five-part conjecture was made about a family of groups related to trivalent graphs and one part of the conjecture was proved. The conjecture completely determines all finite members of the family. Here we prove another part of the conjecture and foreshadow a paper which completes the proof of the other three parts.

The Fa,b,c conjecture is true, II

In 1977 a five-part conjecture was made about a family of groups related to trivalent graphs and subsequently two parts of the conjecture were proved. The conjecture completely determines all finite members of the family. Here we complete the proof of the conjecture by giving proofs for the remaining three parts. (c) 2006 Elsevier Inc. All rights reserved.

Alpha B-crystallin, a new independent marker for poor prognosis in head and neck cancer

Objectives. Gene expression profiling has provided many insights into tumor progression but translation to clinical practice has been limited. We have previously identified a list of potential markers by the differences of expression profiling of seven matched head and neck cancer (HNSCC) tumors with autologous normal oral mucosa (NOM). Alpha B-crystallin (CRYAB) was in the top 5% of genes identified with statistically significant differences in expression between tumor and NOM at the mRNA level. The objective was to confirm this in routine paraffin sections at the protein level. Study Design: The level of alpha B-crystallin was determined in tumors of 62 HNSCC patients whose prognosis was known for 5 years. Methods. Immunohistochemical detection of alpha B-crystallin expression was performed on HNSCC paraffin sections. Results. Univariate survival analysis identified lack of alpha B-crystallin staining as an independent prognostic marker for disease-free interval (P < 0.001) and overall survival (P < 0.002) of HNSCC patients over the 5-year observation period. Notably, all 13 patients (100%), including 5 patients with nodal disease whose tumors lacked alpha B-crystallin had no recurrences (P < 0.001). Nineteen of 27 node-negative patients stained positive for alpha B-crystallin and seven of the 19 (36.8%) had recurrences. Conclusion: Presence or absence of expression of alpha B-crystallin was a powerful marker for prognosis in this series of patients.