The Validity of Quasi-Steady-State Approximations in Discrete Stochastic Simulations

In biochemical networks, reactions often occur on disparate timescales and can be characterized as either fast or slow. The quasi-steady-state approximation (QSSA) utilizes timescale separation to project models of biochemical networks onto lower-dimensional slow manifolds. As a result, fast elementary reactions are not modeled explicitly, and their effect is captured by nonelementary reaction-rate functions (e.g., Hill functions). The accuracy of the QSSA applied to deterministic systems depends on how well timescales are separated. Recently, it has been proposed to use the nonelementary rate functions obtained via the deterministic QSSA to define propensity functions in stochastic simulations of biochemical networks. In this approach, termed the stochastic QSSA, fast reactions that are part of nonelementary reactions are not simulated, greatly reducing computation time. However, it is unclear when the stochastic QSSA provides an accurate approximation of the original stochastic simulation. We show that, unlike the deterministic QSSA, the validity of the stochastic QSSA does not follow from timescale separation alone, but also depends on the sensitivity of the nonelementary reaction rate functions to changes in the slow species. The stochastic QSSA becomes more accurate when this sensitivity is small. Different types of QSSAs result in nonelementary functions with different sensitivities, and the total QSSA results in less sensitive functions than the standard or the prefactor QSSA. We prove that, as a result, the stochastic QSSA becomes more accurate when nonelementary reaction functions are obtained using the total QSSA. Our work provides an apparently novel condition for the validity of the QSSA in stochastic simulations of biochemical reaction networks with disparate timescales.     

The Validity of Quasi-Steady-State Approximations in Discrete Stochastic Simulations

In biochemical networks, reactions often occur on disparate timescales and can be characterized as either fast or slow. The quasi-steady-state approximation (QSSA) utilizes timescale separation to project models of biochemical networks onto lower-dimensional slow manifolds. As a result, fast elementary reactions are not modeled explicitly, and their effect is captured by nonelementary reaction-rate functions (e.g., Hill functions). The accuracy of the QSSA applied to deterministic systems depends on how well timescales are separated. Recently, it has been proposed to use the nonelementary rate functions obtained via the deterministic QSSA to define propensity functions in stochastic simulations of biochemical networks. In this approach, termed the stochastic QSSA, fast reactions that are part of nonelementary reactions are not simulated, greatly reducing computation time. However, it is unclear when the stochastic QSSA provides an accurate approximation of the original stochastic simulation. We show that, unlike the deterministic QSSA, the validity of the stochastic QSSA does not follow from timescale separation alone, but also depends on the sensitivity of the nonelementary reaction rate functions to changes in the slow species. The stochastic QSSA becomes more accurate when this sensitivity is small. Different types of QSSAs result in nonelementary functions with different sensitivities, and the total QSSA results in less sensitive functions than the standard or the prefactor QSSA. We prove that, as a result, the stochastic QSSA becomes more accurate when nonelementary reaction functions are obtained using the total QSSA. Our work provides an apparently novel condition for the validity of the QSSA in stochastic simulations of biochemical reaction networks with disparate timescales.     

Design and Synthesis of a Cell-Permeable,Drug-Like Small Molecule Inhibitor Targeting the Polo-Box Domain of Polo-Like Kinase 1

Background

Polo-like kinase-1 (Plk1) plays a crucial role in cell proliferation and the inhibition of Plk1 has been considered as a potential target for specific inhibitory drugs in anti-cancer therapy. Several research groups have identified peptide-based inhibitors that target the polo-box domain (PBD) of Plk1 and bind to the protein with high affinity in in vitro assays. However, inadequate proteolytic resistance and cell permeability of the peptides hinder the development of these peptide-based inhibitors into novel therapeutic compounds.

Methodology/Principal Findings

In order to overcome the shortcomings of peptide-based inhibitors, we designed and synthesized small molecule inhibitors. Among these molecules, bg-34 exhibited a high binding affinity for Plk1-PBD and it could cross the cell membrane in its unmodified form. Furthermore, bg-34-dependent inhibition of Plk1-PBD was sufficient for inducing apoptosis in HeLa cells. Moreover, modeling studies performed on Plk1-PBD in complex with bg-34 revealed that bg-34 can interact effectively with Plk1-PBD.

Conclusion/Significance

We demonstrated that the molecule bg-34 is a potential drug candidate that exhibits anti-Plk1-PBD activity and possesses the favorable characteristics of high cell permeability and stability. We also determined that bg-34 induced apoptotic cell death by inhibiting Plk1-PBD in HeLa cells at the same concentration as PEGylated 4j peptide, which can inhibit Plk1-PBD activity 1000 times more effectively than bg-34 can in in vitro assays. This study may help to design and develop drug-like small molecule as Plk1-PBD inhibitor for better therapeutic activity.     

Regulatory <Emphasis Type="Italic">cis</Emphasis>-elements on citrus peel-specific expressed gene, <Emphasis Type="Italic">CuCRTISO-like</Emphasis>, promoter respond to hormones and abiotic stresses in transgenic <Emphasis Type="Italic">Arabidopsis</Emphasis>

We identified a peel-specific expressed gene in Citrus unshiu fruits by differentially expressed gene (DEG) analysis, which showed a homology with carotenoid isomerase-like genes identified from other plants and, therefore, designated as CuCRTISO-like. Here we determined the promoter sequence of CuCRTISO-like and analyzed histochemical GUS activity using transgenic Arabidopsis plants harboring CuCRTISO-like promoter-GUS gene constructs (pCRTL-Prom1~pCRTL-Prom5 lines). The promoter activity of CuCRTISO-like was detected in the cotyledon at 5 and 10 days after germination (DAG), young leaf, and anther, but not in the cotyledon at 15 DAG and mature leaf. Several cis-acting elements involved in hormones and abiotic stresses are located on the CuCRTISO-like promoter. Salicylic acid and ethylene treatments induced the GUS activity in the pCRTL-prom1 and pCRTL-Prom4 line, respectively. Treatment of drought and wounding stress induced the GUS activity in the pCRTL-Prom4 and pCRTL-Prom3 line, respectively. Heat stress treatment induced GUS activity more strongly as the promoter length decreased except for no GUS activity in the pCRTL-Prom5 line. The CuCRTISO-like expression during fruit maturation of C. unshiu showed a peel-specific expression pattern. Our results suggest that CuCRTISO-like promoter activity is regulated in a developmental and organ-specific manner, and responds to hormones and abiotic stresses.     

Diphenyleneiodonium induces ROS-independent p53 expression and apoptosis in human RPE cells

The diphenyleneiodonium (DPI) is widely used as an inhibitor of flavoenzymes, particularly NADPH oxidase. In this study, we investigated the effect of DPI on the apoptosis of human RPE cells. DPI treatment in ARPE-19 cells evoked a dose- and time-dependent growth inhibition, and also induced DNA fragmentation and protein content of the proapoptotic factor Bax. In addition, DPI significantly induced the expression and phosphorylation of p53, which induces proapoptotic genes in response to DNA damage or irreparable cell cycle arrest. ROS have been implicated as a key factor in the activation of p53 by many chemotherapeutic drugs. Recent data on the regulation of intracellular ROS by DPI are controversial. Therefore, we analyzed whether DPI could contribute to the generation of intracellular ROS. Although there was increase in ROS level from cells treated for 24h with DPI, it was not detectable at early time points, required to induce p53 expression. And DPI-induced p53 expression was not affected by the ROS scavenger NAC. We conclude that DPI induces the expression of p53 by ROS-independent mechanism in ARPE-19 cells, and renders cells sensitive to drug-induced apoptosis by induction of p53 expression.     

Development of a risk scoring system for patients with papillary thyroid cancer

As the importance of personalized therapeutics in aggressive papillary thyroid cancer (PTC) increases, accurate risk stratification is required. To develop a novel prognostic scoring system for patients with PTC (n = 455), we used mRNA expression and clinical data from The Cancer Genome Atlas. We performed variable selection using Network‐Regularized high‐dimensional Cox‐regression with gene network from pathway databases. The risk score was calculated using a linear combination of regression coefficients and mRNA expressions. The risk score and clinical variables were assessed by several survival analyses. The risk score showed high discriminatory power for the prediction of event‐free survival as well as the presence of metastasis. In multivariate analysis, the risk score and presence of metastasis were significant risk factors among the clinical variables that were examined together. In the current study, we developed a risk scoring system that will help to identify suitable therapeutic options for PTC.     

Pro-apoptotic effect and cytotoxicity of genistein and genistin in human ovarian cancer SK-OV-3 cells

We investigated the effects of genistein and genistin on proliferation and apoptosis of human ovarian SK-OV-3 cells and explored the mechanism for these effects. SK-OV-3 cells were treated with genistein and genistin at various concentrations (ranging from 1 to 100 muM) either alone or in combination for 24 and 48 h. Cell proliferation was estimated using an MTT assay, and cell cycle arrest was evaluated using FACS. Caspase-3 activity and annexin-based cell cycle analysis were used as measures of apoptosis. In addition, genistein- and genistin-induced cytotoxicity was determined by measuring release of LDH. Genistein treatment for 24 or 48 h substantially inhibited SK-OV-3 cell proliferation in a dose-dependent manner, and genistin treatment for 48 h also inhibited cell proliferation. Genistein caused cell cycle arrest at G2/M phase in dose- and time-dependent manner, and genistin caused cell cycle arrest not only at G2/M phase but also at G1 phase. Genistein markedly induced apoptosis and significantly increased LDH release, whereas genistin did not affect LDH release. Moreover, exposure to both genistein and genistin in combination for 48 h induced apoptosis without increasing LDH release. Genistein and genistin inhibit cell proliferation by disrupting the cell cycle, which is strongly associated with the arrest induction of either G1 or G2/M phase and may induce apoptosis. Based on our findings, we speculate that both genistein and genistin may prove useful as anticancer drugs and that the combination of genistein and genistin may have further anticancer activity.