Adaptive combinatorial design to explore large experimental spaces: approach and validation.

Systems biology requires mathematical tools not only to analyse large genomic datasets, but also to explore large experimental spaces in a systematic yet economical way. We demonstrate that two-factor combinatorial design (CD), shown to be useful in software testing, can be used to design a small set of experiments that would allow biologists to explore larger experimental spaces. Further, the results of an initial set of experiments can be used to seed further 'Adaptive' CD experimental designs. As a proof of principle, we demonstrate the usefulness of this Adaptive CD approach by analysing data from the effects of six binary inputs on the regulation of genes in the N-assimilation pathway of Arabidopsis. This CD approach identified the more important regulatory signals previously discovered by traditional experiments using far fewer experiments, and also identified examples of input interactions previously unknown. Tests using simulated data show that Adaptive CD suffers from fewer false positives than traditional experimental designs in determining decisive inputs, and succeeds far more often than traditional or random experimental designs in determining when genes are regulated by input interactions. We conclude that Adaptive CD offers an economical framework for discovering dominant inputs and interactions that affect different aspects of genomic outputs and organismal responses.

Kinetic studies of the branched chain amino acid preferring peptidase activity of the 20S proteasome: development of a continuous assay and inhibition by tripeptide aldehydes and clasto-lactacystin beta-lactone.

We have developed an assay to continuously monitor the branched amino acid preferring peptidase (BrAAP) activity of the proteasome. This assay is based on the hydrolysis of the fluorogenic peptide, Abz-Gly-Pro-Ala-Leu-Ala-Nba (Abz is 2-aminobenzoyl and Nba is 4-nitrobenzylamide) which is cleaved exclusively at the Leu-Ala bond by the 20S proteasome with a kc/Km value of 13 000 M-1 s-1. Hydrolysis of this peptide is accompanied by an increase in fluorescence intensity (lambda ex = 340 nm, lambda em = 415 nm) due to release of the internally quenched 2-aminobenzoyl fluorescence that accompanies diffusion apart of the hydrolysis products, Abz-Gly-Pro-Ala-Leu and Ala-Nba. Using this assay, we examined inhibition of the BrAAP activity of the proteasome by a series of tripeptide aldehydes, Z-Leu-Leu-Xaa-H. When Xaa = Phe, (p-Cl)Phe, and Trp we observe biphasic or partial inhibition of the BrAAP activity. In contrast, when Xaa = Nva and Leu, simple inhibition kinetics are observed and allow us to calculate Ki values of 120 nM and 12 nM, respectively. The inhibitors that exhibit simple inhibition kinetics for BrAAP activity are also approximately equipotent for inhibition of the chymotrypsin-like (ChT-L) and peptidyl-glutamyl peptide hydrolyzing (PGPH) activities, dissociation constants varying by less than 25-fold, whereas the inhibitors that exhibit biphasic inhibition kinetics for BrAAP activity are >300-fold more potent for inhibiting ChT-L activity than for PGPH activity. Inactivation of the BrAAP activity of the proteasome by clasto-lactacystin beta-lactone is also biphasic. beta-Lactone inactivates approximately 60% of the BrAAP activity rapidly, with kinetics indistinguishable from its inactivation of the chymotrypsin-like activity. The remaining 40% of the BrAAP activity is inactivated by beta-lactone at a 50-fold slower rate, with kinetics indistinguishable from its inactivation of the PGPH activity. These results suggest a mechanism in which hydrolysis of Abz-Gly-Pro-Ala-Leu-Ala-Nba (i.e., BrAAP activity) occurs at two different active sites in the 20S proteasome, and that these two active sites are the same ones that catalyze the previously described ChT-L and PGPH activities.

Mechanistic studies on the inactivation of the proteasome by lactacystin in cultured cells.

The natural product lactacystin exerts its cellular antiproliferative effects through a mechanism involving acylation and inhibition of the proteasome, a cytosolic proteinase complex that is an essential component of the ubiquitin-proteasome pathway for intracellular protein degradation. In vitro, lactacystin does not react with the proteasome; rather, it undergoes a spontaneous conversion (lactonization) to the active proteasome inhibitor, clasto-lactacystin beta-lactone. We show here that when the beta-lactone is added to mammalian cells in culture, it rapidly enters the cells, where it can react with the sulfhydryl of glutathione to form a thioester adduct that is both structurally and functionally analogous to lactacystin. We call this adduct lactathione, and like lactacystin, it does not react with the proteasome, but can undergo lactonization to yield back the active beta-lactone. We have studied the kinetics of this reaction under appropriate in vitro conditions as well as the kinetics of lactathione accumulation and proteasome inhibition in cells treated with lactacystin or beta-lactone. The results indicate that only the beta-lactone (not lactacystin) can enter cells and suggest that the formation of lactathione serves to concentrate the inhibitor inside cells, providing a reservoir for prolonged release of the active beta-lactone.

Mechanistic studies on the inactivation of the proteasome by lactacystin: a central role for clasto-lactacystin beta-lactone.

Lactacystin is a Streptomyces metabolite that inhibits cell cycle progression and induces differentiation in a murine neuroblastoma cell line. The cellular target of lactacystin is the 20 S proteasome, also known as the multicatalytic proteinase complex, an essential component of the ubiquitin-proteasome pathway for intracellular protein degradation. In aqueous solution at pH 8, lactacystin undergoes spontaneous hydrolysis to yield N-acetyl-L-cysteine and the inactive lactacystin analog, clasto-lactacystin dihydroxy acid. We have studied the mechanism of lactacystin hydrolysis under these conditions and found that it proceeds exclusively through the intermediacy of the active lactacystin analog, clasto-lactacystin beta-lactone. Conditions that stabilize lactacystin (and thus prevent the transient accumulation of the intermediate beta-lactone) negate the ability of lactacystin to inactivate the proteasome. Together these findings suggest that lactacystin acts as a precursor for clasto-lactacystin beta-lactone and that the latter is the sole species that interacts with the proteasome.