SUMMARYWe propose a new approach for the stabilization of linear tetrahedral finite elements in the case of nearly incompressible transient solid dynamics computations. Our method is based on a mixed formulation, in which the momentum equation is complemented by a rate equation for the evolution of the pressure field, approximated with piecewise linear, continuous finite element functions. The pressure equation is stabilized to prevent spurious pressure oscillations in computations. Incidentally, it is also shown that many stabilized methods previously developed for the static case do not generalize easily to transient dynamics. Extensive tests in the context of linear and nonlinear elasticity are used to corroborate the claim that the proposed method is robust, stable, and accurate.

Regulation of intracellular calcium is an important signaling mechanism for cell proliferation in both normal and cancerous cells. In normal epithelial cells, free calcium concentration is essential for cells to enter and accomplish the S phase and the M phase of the cell cycle. In contrast, cancerous cells can pass these phases of the cell cycle with much lower cytoplasmic free calcium concentrations, indicating an alternative mechanism has developed for fulfilling the intracellular calcium requirement for an increased rate of DNA synthesis and mitosis of fast replicating cancerous cells. The detailed mechanism underlying the altered calcium loading pathway remains unclear; however, there is a growing body of evidence that suggests the T-type Ca 2+ channel is abnormally expressed in cancerous cells and that blockade of these channels may reduce cell proliferation in addition to inducing apoptosis. Recent studies also show that the expression of T-type Ca 2+ channels in breast cancer cells is proliferation state dependent, i.e. the channels are expressed at higher levels during the fast-replication period, and once the cells are in a non-proliferation state, expression of this channel is minimal. Therefore, selectively blocking calcium entry into cancerous cells may be a valuable approach for preventing tumor growth. Since T-type Ca 2+ channels are not expressed in epithelial cells, selective T-type Ca 2+ channel blockers may be useful in the treatment of certain types of cancers.

The two mitotic centrosomes direct spindle bipolarity to maintain euploidy. Centrosome amplification-the acquisition of >3 centrosomes-generates multipolar mitoses, aneuploidy, and chromosome instability to promote cancer biogenesis. While much evidence suggests that Cdk2 is the major conductor of the centrosome cycle and that it mediates centrosome amplification induced by various altered tumor suppressors, the role played by Cdk4 in a normal or deregulated centrosome cycle is unknown. Using a gene knockout approach, we report that Cdk2 and Cdk4 are critical to the centrosome cycle, since centrosome separation and duplication are premature in Cdk2 ؊/؊ mouse embryonic fibroblasts (MEFs) and are compromised in Cdk4 ؊/؊ MEFs. Additionally, ablation of Cdk4 or Cdk2 abrogates centrosome amplification and chromosome instability in p53-null MEFs. Absence of Cdk2 or Cdk4 prevents centrosome amplification by abrogating excessive centriole duplication. Furthermore, hyperactive Cdk2 and Cdk4 deregulate the licensing of the centrosome duplication cycle in p53-null cells by hyperphosphorylating nucleophosmin (NPM) at Thr199, as evidenced by observations that ablation of Cdk2, Cdk4, or both Cdk2 and Cdk4 abrogates that excessive phosphorylation. Since a mutant form of NPM lacking the G 1 Cdk phosphorylation site (NPM T199A ) prevents centrosome amplification to the same extent as ablation of Cdk2 or Cdk4, we conclude that the Cdk2/Cdk4/NPM pathway is a major guardian of centrosome dysfunction and genomic integrity.

We have identified a novel function for a member of the transient receptor potential (TRP) protein super-family, TRPM2, in prostate cancer cell proliferation. TRPM2 encodes a non-selective cationpermeable ion channel. We found that selectively knocking down TRPM2 with the small interfering RNA technique inhibited the growth of prostate cancer cells but not of non-cancerous cells. The subcellular localization of this protein is also remarkably different between cancerous and non-cancerous cells. In BPH-1 (benign), TRPM2 protein is homogenously located near the plasma membrane and in the cytoplasm, whereas in the cancerous cells (PC-3 and DU-145), a significant amount of the TRPM2 protein is located in the nuclei in a clustered pattern. Furthermore, we have found that TRPM2 inhibited nuclear ADP-ribosylation in prostate cancer cells. However, TRPM2 knockdown-induced inhibition of proliferation is independent of the activity of poly(ADP-ribose) polymerases. We conclude that TRPM2 is essential for prostate cancer cell proliferation and may be a potential target for the selective treatment of prostate cancer.

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Lycopene is a promising chemopreventive agent for human prostate cancer. To test the hypothesis that the effect of lycopene on prostate cancer is stage specific in the process of carcinogenesis, inhibitory effects of natural lycopene on the proliferation of 3 different human prostate carcinoma cell lines were examined using the 3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide assay. Lycopene more potently inhibited the growth of the androgen-independent DU145 and PC-3 cells than androgen-dependent LNCaP cells. The 50% inhibitory concentration of lycopene for these cell lines was 26.6 micromol/L for DU145, 40.3 micromol/L for PC-3, and 168.5 micromol/L for LNCaP. We also studied the inhibitory effect of lycopene on the growth rate of DU145 tumor xenografts in BALB/c male nude mice. The tumor growth rate was inhibited by 55.6 and 75.8% in mice treated with 100 and 300 mg/kg lycopene, respectively, compared with controls. In addition, no tumors formed in 1 mo in mice treated with DU145 cells that had been pretreated with 20 micromol/L lycopene; however, they did form when DU145 cells were not pretreated. Flow cytometry revealed that lycopene caused DU145 cells to accumulate in the G(0)/G(1) phase and to undergo apoptosis in a dose-dependent manner. The rate of apoptosis was up to 42.4% lower in DU145 cells treated with 32 micromol/L lycopene compared with the untreated control cells. These results suggest that lycopene may specifically inhibit the growth of androgen-independent prostate cancers.

Recent studies demonstrate that excess signaling through inflammatory pathways (e.g., toll-like receptors, TLRs) contributes to the pathogenesis of human autoimmune diseases, including lupus, diabetes, and multiple sclerosis (MS). We hypothesized that co-delivery of a regulatory ligand of TLR9, GpG oligonucleotide, along with myelin – the “self” molecule attacked in MS – might restrain the pro-inflammatory signaling typically present during myelin presentation, redirecting T cell differentiation away from inflammatory populations and towards tolerogenic phenotypes such as regulatory T cells. Here we show that myelin peptide and GpG can be used as modular building blocks for co-assembly into immune polyelectrolyte multilayers (iPEMs). These nanostructured capsules mimic attractive features of biomaterials, including tunable cargo loading and co-delivery, but eliminate all carriers and synthetic polymers – components that often exhibit intrinsic inflammatory properties that could exacerbate autoimmune disease. In vitro, iPEMs assembled from myelin and GpG oligonucleotide – but not myelin and a control oligonucleotide – restrain TLR9 signaling, reduce dendritic cell activation, and polarize myelin-specific T cells towards tolerogenic phenotype and function. In mice, iPEMs blunt myelin-triggered inflammatory responses, expand regulatory T cells, and eliminate disease in a common model of MS. Finally, in samples from human MS patients, iPEMs bias myelin-triggered immune cell function towards tolerance. This work represents a unique opportunity to use PEMs to regulate immune function and promote tolerance, supporting iPEMs as a carrier-free platform to alter TLR function to reduce inflammation and combat autoimmunity.