Using Positive Spanning Sets to Achieve d-Stationarity with the Boosted DC Algorithm.

The Difference of Convex functions Algorithm (DCA) is widely used for minimizing the difference of two convex functions. A recently proposed accelerated version, termed BDCA for Boosted DC Algorithm, incorporates a line search step to achieve a larger decrease of the objective value at each iteration. Thanks to this step, BDCA usually converges much faster than DCA in practice. The solutions found by DCA are guaranteed to be critical points of the problem, but these may not be local minima. Although BDCA tends to improve the objective value of the solutions it finds, these are frequently just critical points as well. In this paper we combine BDCA with a simple Derivative-Free Optimization (DFO) algorithm to force the d-stationarity (lack of descent direction) at the point obtained. The potential of this approach is illustrated through some computational experiments on a Minimum-Sum-of-Squares clustering problem. Our numerical results demonstrate that the new method provides better solutions while still remains faster than DCA in the majority of test cases.

Gradient Methods on Strongly Convex Feasible Sets and Optimal Control of Affine Systems.

The paper presents new results about convergence of the gradient projection and the conditional gradient methods for abstract minimization problems on strongly convex sets. In particular, linear convergence is proved, although the objective functional does not need to be convex. Such problems arise, in particular, when a recently developed discretization technique is applied to optimal control problems which are affine with respect to the control. This discretization technique has the advantage to provide higher accuracy of discretization (compared with the known discretization schemes) and involves strongly convex constraints and possibly non-convex objective functional. The applicability of the abstract results is proved in the case of linear-quadratic affine optimal control problems. A numerical example is given, confirming the theoretical findings.

On the convergence of the gradient projection method for convex optimal control problems with bang-bang solutions.

We revisit the gradient projection method in the framework of nonlinear optimal control problems with bang-bang solutions. We obtain the strong convergence of the iterative sequence of controls and the corresponding trajectories. Moreover, we establish a convergence rate, depending on a constant appearing in the corresponding switching function and prove that this convergence rate estimate is sharp. Some numerical illustrations are reported confirming the theoretical results.

Transferrin receptor 2-alpha supports cell growth both in iron-chelated cultured cells and in vivo.

In most cells, transferrin receptor (TfR1)-mediated endocytosis is a major pathway for cellular iron uptake. We recently cloned the human transferrin receptor 2 (TfR2) gene, which encodes a second receptor for transferrin (Kawabata, H., Yang, R., Hirama, T., Vuong, P. T., Kawano, S., Gombart, A. F., and Koeffler, H. P. (1999) J. Biol. Chem. 274, 20826-20832). In the present study, the regulation of TfR2 expression and function was investigated. A select Chinese hamster ovary (CHO)-TRVb cell line that does not express either TfR1 or TfR2 was stably transfected with either TfR1 or TfR2-alpha cDNA. TfR2-alpha-expressing cells had considerably lower affinity for holotransferrin when compared with TfR1-expressing CHO cells. Interestingly, in contrast to TfR1, expression of TfR2 mRNA in K562 cells was not up-regulated by desferrioxamine (DFO), a cell membrane-permeable iron chelator. In MG63 cells, expression of TfR2 mRNA was regulated in the cell cycle with the highest expression in late G(1) phase and no expression in G(0)/G(1). DFO reduced cell proliferation and DNA synthesis of CHO-TRVb control cells, whereas it had little effect on TfR2-alpha-expressing CHO cells when measured by clonogenic and cell cycle analysis. In addition, CHO cells that express TfR2-alpha developed into tumors in nude mice whereas CHO control cells did not. In conclusion, TfR2 expression may be regulated by the cell cycle rather than cellular iron status and may support cell growth both in vitro and in vivo.

Myeloid transcription factor C/EBPepsilon is involved in the positive regulation of lactoferrin gene expression in neutrophils.

Targeted mutation of the myeloid transcription factor C/EBPepsilon in mice results in gram-negative septic death at 3 to 5 months of age. This study defines the underlying molecular defects in their terminal granulocytic differentiation. The mRNA for the precursor protein of the cathelin-related antimicrobial peptides was almost completely absent in the bone marrow cells of C/EBPepsilon-/- mice. This finding may help explain their susceptibility to gram-negative sepsis, because both are bacteriocidal peptides with potent activity against gram-negative bacteria. Superoxide production was found to be reduced in both granulocytes and monocytes of C/EBPepsilon-/- mice. While gp91 phox protein levels were normal, p47phox protein levels were considerably reduced in C/EBPepsilon -/- granulocytes/monocytes, possibly limiting the assembly of the NADPH oxidase. In addition, expression of mRNA of the secondary and tertiary granule proteins, lactoferrin and gelatinase, were not detected, and levels of neutrophil collagenase mRNA were reduced in bone marrow cells of the knock-out mice. The murine lactoferrin promoter has a putative C/EBP site close to the transcription start site. C/EBPepsilon bound to this site in electromobility shift assay studies and mutation of this site abrogated binding to it. A mutation in the C/EBP site reduced the activity of the promoter by 35%. Furthermore, overexpression of C/EBPepsilon in U937 cells increased the activity of the wild-type lactoferrin promoter by 3-fold. In summary, our data implicate C/EBPepsilon as a critical factor of host antimicrobial defense and suggests that it has a direct role as a positive regulator of expression of lactoferrin in vivo.

Molecular cloning of transferrin receptor 2. A new member of the transferrin receptor-like family.

Transferrin receptor (TfR) plays a major role in cellular iron uptake through binding and internalizing a carrier protein transferrin (Tf). We have cloned, sequenced, and mapped a human gene homologous to TfR, termed TfR2. Two transcripts were expressed from this gene: alpha (approximately 2.9 kilobase pairs), and beta (approximately 2.5 kilobase pairs). The predicted amino acid sequence revealed that the TfR2-alpha protein was a type II membrane protein and shared a 45% identity and 66% similarity in its extracellular domain with TfR. The TfR2-beta protein lacked the amino-terminal portion of the TfR2-alpha protein including the putative transmembrane domain. Northern blot analysis showed that the alpha transcript was predominantly expressed in the liver. In addition, high expression occurred in K562, an erythromegakaryocytic cell line. To analyze the function of TfR2, Chinese hamster ovary TfR-deficient cells (CHO-TRVb cells) were stably transfected with FLAG-tagged TfR2-alpha. These cells showed an increase in biotinylated Tf binding to the cell surface, which was competed by nonlabeled Tf, but not by lactoferrin. Also, these cells had a marked increase in Tf-bound (55)Fe uptake. Taken together, TfR2-alpha may be a second transferrin receptor that can mediate cellular iron transport.

CCAAT/enhancer binding protein epsilon is a potential retinoid target gene in acute promyelocytic leukemia treatment.

The CCAAT/enhancer binding protein epsilon (C/EBPepsilon) is a nuclear transcription factor expressed predominantly in myeloid cells and implicated as a potential regulator of myeloid differentiation. We show that it was rapidly induced in the acute promyelocytic leukemia (APL) cell line NB4 during granulocytic differentiation after exposure to retinoic acid (RA). Our data suggest that induction of C/EBPepsilon expression was through the retinoic acid receptor alpha (RARalpha) pathway. Reporter gene studies showed that C/EBPepsilon promoter/enhancer activity increased in a retinoid-dependent fashion via the retinoic acid response element (RARE) present in the promoter region of C/EBPepsilon. The RA-induced expression of C/EBPepsilon markedly increased in U937 myelomonoblasts that were induced to express promyelocytic leukemia/RARalpha (PML/RARalpha), but not in those induced to express promyelocytic leukemia zinc finger/RARalpha (PLZF/RARalpha). In retinoid-resistant APL cell lines, C/EBPepsilon either is not induced or is induced only at very high concentrations of RA (>/=10(-6) M). In addition, forced expression of C/EBPepsilon in the U937 myelomonoblastic leukemia cells mimicked terminal granulocytic differentiation, including morphologic changes, increased CD11b/CD66b expression, and induction of secondary granule protein expression. Our data strongly suggest that C/EBPepsilon is a downstream target gene responsible for RA-induced granulocytic differentiation of APL cells.

Protein kinase C beta modulates thrombin-induced Ca2+ signaling and endothelial permeability increase.

We investigated the function of the Ca2+-dependent protein kinase C (PKC) beta1 in the regulation of endothelial barrier property. Human dermal microvascular endothelial cells (HMEC-1) were transduced with full-length PKCbeta1 antisense (AS) cDNA or control pLNCX vector to generate stable cell lines (HMEC-AS and HMEC-pLNCX, respectively). Analyses indicated that HMEC-AS expressed the antisense PKCbeta1 transcript with decreased PKCbeta protein level (without a change in PKCalpha or PKCepsilon). The baseline transendothelial 125I-albumin clearance rates of HMEC-1, HMEC-pLNCX, and HMEC-AS were 5.0+/-0.5 x 10(-2), 6.8+/-0.4 x 10(-2), and 6.9+/-0.6 x 10(-2) microl/min, respectively. Activation of HMEC-1 and HMEC-pLNCX with phorbol 12-myristate 13-acetate (PMA) increased the rates to the respective 14.5+/-1.7 x 10(-2) microl/min and 16.9+/-2.8 x 10(-2) microl/min (corresponding to 191% and 149% increases over baseline). However, in HMEC-AS, PMA increased the rate to 9.8+/-1.0 x 10(-2) microl/min (42%). When HMEC-1 and HMEC-pLNCX were activated with thrombin, the rates increased to 10.8+/-1.4 x 10(-2) and 14.0+/-1.9 x 10(-2) microl/min, respectively (116% and 106%). In contrast, thrombin stimulation of HMEC-AS more than doubled the increase to 27.2+/-3.5 x 10(-2) microl/min (294%). Furthermore, the thrombin-induced peak increase in the [Ca2+]i in HMEC-AS was greater than in control cells. Fluorescence-activated cell sorter analysis of thrombin receptor expression indicated that the augmented thrombin-induced responses were not attributable to altered receptor density in HMEC-AS. These results indicate that PKCbeta functions in a negative feedback manner to inactivate thrombin-generated signals and thereby modulates the endothelial permeability increase. Because decreased PKCbeta expression significantly reduced the PMA-induced permeability increase, PKCbeta may downregulate thrombin receptor function upstream of PKC activation (i.e., Ca2+).

Protein kinase C beta 1 overexpression augments phorbol ester-induced increase in endothelial permeability.

We studied the postulated involvement of the protein kinase C beta 1 (PKC beta 1) isoform in the regulation of endothelial permeability using human dermal microvascular endothelial cell line (HMEC-1). We overexpressed the recombinant PKC beta 1 gene via retroviral-mediated transduction in these cells. PKC beta 1 gene transfer was stable, and PKC beta 1 protein production was persistent for at least 1 month posttransduction. Addition of 2 x 10(-9) M and 2 x 10(-8) M phorbol 12-myristate 13-acetate (PMA) to the control (nontransduced) HMEC-1 cells increased the transendothelial 125I-albumin clearance rate (an index of endothelial permeability) from 2.5 +/- 0.2 x 10(-2) microliters/min to 5.4 +/- 1.2 x 10(-2) microliters/min and 16.8 +/- 3.1 x 10(-2) microliters/min, respectively. However, addition of 2 x 10(-9) M PMA to PKC beta 1-overexpressing HMEC-1 cells produced a maximal increase in the transendothelial 125I-albumin clearance rate of 15.9 +/- 2.0 x 10(-2) microliters/min. Challenge of these cells with 2 x 10(-8) M PMA did not further augment the increase in permeability. Activation with PMA was associated with the translocation of the PKC beta 1 from the cytosol to the membrane. These data show that PKC beta 1 overexpression augments the increase in endothelial permeability in response to PKC activation, suggesting an important function for the PKC beta 1 isoform in the regulation of endothelial barrier.