Theranostics 2013; 3(1):3-10. doi:10.7150/thno.4621


Innate Immunity Derived Factors as External Modulators of the CXCL12 - CXCR4 Axis and Their Role in Stem Cell Homing and Mobilization

Mariusz Z. Ratajczak1,2 Corresponding address, Karol Serwin1, Gabriela Schneider2

1. Stem Cell Biology Program at the James Graham Brown Cancer Center, University of Louisville, Louisville, Kentucky, USA.
2. Department of Physiology Pomeranian Medical University, Szczecin, Poland.

This is an open access article distributed under the terms of the Creative Commons Attribution (CC BY-NC) License. See for full terms and conditions.
Ratajczak MZ, Serwin K, Schneider G. Innate Immunity Derived Factors as External Modulators of the CXCL12 - CXCR4 Axis and Their Role in Stem Cell Homing and Mobilization. Theranostics 2013; 3(1):3-10. doi:10.7150/thno.4621. Available from

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The α-chemokine CXCL12 (stromal derived factor-1; SDF-1) and its corresponding GαI protein-coupled CXCR4 receptor axis play an important role in retention of hematopoietic stem progenitor cells (HSPCs) in bone marrow (BM) stem cell niches. CXCL12 has also been identified as a strong chemoattractant for HSPCs and implicated both in homing of HSPCs to BM after transplantation and in egress of these cells from BM into peripheral blood (PB). However, since CXCL12, as a peptide, is highly susceptible to degradation by proteolytic enzymes, its real biological availability in biological fluids may be somewhat limited. In this review, we will present data demonstrating that the CXCL12-CXCR4 axis is positively modulated by innate immunity-derived several external factors, ensuring that even low (near threshold) doses of CXCL12 still exert a robust chemotactic influence on HSPCs.

Keywords: CXCR4, CXCL12, SDF-1, C3a, LL-37, stem cell mobilization, stem cell homing.


Several soluble factors secreted in the tissues that are endowed with chemotactic activity against a variety of hematopoietic cells, including neutrophils, monocytes, and lymphocytes, have been described [1-4]. By contrast, the number of factors that chemoattract hematopoietic stem progenitor cells (HSPCs) and thus regulate their trafficking in the living organism is quite limited [4-7]. The short list of HSPC chemoattractants that regulate two important aspects of HSPC trafficking, release from their niches in hematopoietic organs (a process known as mobilization) and homing back from circulation into these niches, includes i) α-chemokine CXCL12 (stromal derived factor-1; SDF-1) [4, 8-10], ii) bioactive lipids, such as sphingosine-1-phosphate (S1P) and ceramide-1-phosphate (C1P) [11-13], and iii) extracellular nucleotides, such as ATP and UTP [14, 15].

Chemokines are peptides that combine the properties of cytokines and chemotactic factors. While more than 50 different chemokines have been identified that bind to specific GαI protein-coupled seven-transmembrane-spanning receptors present on the plasma membranes of target cells [16], CXCL12 is the only member of this family that chemoattracts HSPCs [17]. This may explain why the CXCL12-CXCR4 axis plays a crucial role in retention of HSPCs in bone marrow (BM). While CXCL12 has been reported to be highly expressed in the BM microenvironment [1, 2], the CXCR4 receptor is expressed both on short- and long-term repopulating HSPCs [4, 18]. Morphological studies have revealed that HSPCs are found in the BM microenvironment in so-called stem cell niches or in close contact with cells expressing high amounts of CXCL12, which are called CXCL12-abundant reticular (CAR) cells and which form a network of cells in the hematopoietic microenvironment [19]. Two types of stem cell niches have been identified: osteoblastic niches, lining trabecular bones, and endothelial niches, which are part of the hematopoietic endothelium in bone marrow sinusoids and are surrounded and connected by the abovementioned CAR cells [19]. CXCL12 is also secreted by BM stromal cells, including nestin-positive cells [20].

CXCL12 binds to the seven-transmembrane-spanning G protein-coupled CXCR4 receptor, and for many years this was considered to be the only receptor for this chemokine. Recent evidence, however, demonstrates that CXCL12 also binds to another GαI protein-coupled seven-transmembrane-spanning receptor, CXCR7, and shares this receptor with another small chemokine, interferon-inducible T-cell chemoattractant (I-TAC) [21, 22]. However, since the I-TAC-CXCR7 axis does not play a significant or direct role in trafficking of normal HSPCs [21, 22], in this review we will focus on the CXCL12-CXCR4 axis. In particular, we will discuss the evidence that the biological activity of this axis is positively modulated by several external factors, including i) cationic anti-microbial peptides (CAMPs), ii) prostaglandin E2 (PGE2), iii) hyaluronic acid and fibrinogen fragments, iv) high-mobility group box 1 protein (HMGB1, also known as amphoterin), a non-histone chromosomal protein, as well as v) microvesicles released by activated cells. All of these positive regulators of the CXCL12-CXCR4 axis sensitize the responsiveness of HSPCs to an CXCL12 gradient by a variety of mechanisms (Figure 1).

Hematopoietic stem progenitor cells (HSPCs) are nonstop travelers

Endowed with enhanced migratory properties, HSPCs migrate during organogenesis in the developing mammalian embryo, moving between major anatomical sites where hematopoiesis is initiated and/or is temporarily active (i.e., blood islands in the yolk sac, aortic endothelium, and fetal liver) before they reach their final destination in the developing hematopoietic microenvironment of BM in the third trimester of gestation [23]. Later in adult life, a small percentage of HSPCs is continuously released from BM niches into the PB, which may be envisioned as a highway by which HSPCs relocate between hematopoietic stem cell niches in distant areas of BM in order to keep the total pool of stem cells in balance [23, 24]. The most important retention mechanism involves CXCL12, which is expressed in hematopoietic niches and interacts with its corresponding CXCR4 receptor expressed on HSPCs.

 Figure 1 

Modulation of the CXCL12-CXCR4 axis by external factors. The responsiveness of cells to a shallow CXCL12 gradient is enhanced by several modulators. CC cleavage fragments C3a and des-ArgC3a, classical CAMPs (e.g., cathelicidin [LL-37] and β2-defensin), fibrinogen, hyaluronic acid, and microvesicles promote incorporation of CXCR4 into membrane lipid rafts (1). PGE2 is a known upregulator of CXCR4 expression on the cell surface (2). The HMGB1 effect is twofold, firstly by increasing autocrine secretion of CXCL12 by cells (3) and secondly by interacting with the CXCL12 molecule to form a heterocomplex that is a more efficient signaling ligand for CXCR4 (4).

Theranostics Image (Click on the image to enlarge.)

Pharmacologically enforced egress of HSPCs from BM into PB, where the number of HSPCs circulating in PB increases up to 100 fold, is called "mobilization" [10, 25]. Several mobilizing drugs have been developed to interfere with mechanisms that promote retention of HSPCs in BM niches, including small-molecule antagonists of the CXCR4 chemokine receptor (e.g., AMD3100 or T140) [12, 26].

In a reverse mechanism, HSPCs home from PB to the BM. This is observed particularly after hematopoietic transplantation, where HSPCs infused intravenously migrate from PB into the BM microenvironment, settle into niches, and finally expand, leading to their engraftment. An important step that must precede hematopoietic transplantation is myeloablative conditioning by radio-chemotherapy of the transplant recipient. The main purpose of myeloblation before transplantation is destruction of the old hematopoiesis to make empty niches available for newly transplanted HSPCs [ 4, 8, 9].

The tissue level of CXCL12 and its susceptibility to proteolytic enzymes

Expression of CXCL12 in the BM microenvironment is regulated at the transcriptional level by several factors, including hypoxia-inducible factor-1 alpha (HIF-1α), which is upregulated, for example, after conditioning for transplantation by myeloablative treatment [27]. While it is relatively easy to measure the concentration of CXCL12 in biological fluids (e.g., PB plasma), measuring its level in the BM microenvironment is indirect, based on estimation of its concentration in BM aspirates. Similarly, it is currently impossible to measure CXCL12 concentration directly in BM sinusoids, and all measurements are performed on PB samples aspirated from large veins. These measurements, however, have revealed that CXCL12 is expressed in PB in the range 1-3 ng/ml [12], which is at least 100 times lower than in routine Transwell chemotaxis assays.

Despite upregulation of CXCL12 expression at the mRNA level in BM after conditioning for transplantation [28], the chemotactic homing gradient of CXCL12 protein originating in BM is attenuated by several proteolytic enzymes, whose expression is also induced in BM in parallel after myeloablative conditioning for transplantation [29, 30]. It has been reported that metalloproteinase-2 (MMP-2), metalloproteinase-9 (MMP-9), cathepsin G, and elastase, which are secreted in the BM microenvironment from damaged/activated hematopoietic cells, remove a few N-terminal amino acids from the CXCL12 peptide, resulting in a loss of chemotactic properties for this chemokine [29]. Interestingly, depending on the type of antibody employed for its detection, the CXCL12 peptide is still detectable by immunohistochemical staining or ELISA, but is not biologically active [29, 30].

Since myeloablative conditioning for hematopoietic transplantation by radio-chemotherapy induces a proteolytic microenvironment in BM, the susceptibility of CXCL12 to proteolysis affects the CXCL12-mediated homing process of HSPCs after transplantation. To ameliorate this unwanted effect, several mechanisms have been identified that compensate for a decrease in the CXCL12 gradient, which are schematically depicted in Figure 1 and will be discussed below. These factors include elements of innate immunity, such as cleavage fragments of the third protein component of the CC (C3a and desArgC3a) [31]; classical cationic antimicrobial peptides secreted by myeloid cells, such as cathelicidin (LL-37) and β2-defensin [ 32, 33]; hyaluronic acid [34]; fibrinogen fragments [35]; high-mobility group box 1 protein (HMGB1, also known as amphoterin), a non-histone chromosomal protein [36, 37]; and microvesicles [38] released from cells damaged by myeloablative conditioning.

Priming phenomena that sensitize the responsiveness of CXCR4+ HSPCs to an CXCL12 gradient

As mentioned above, the biological activity of CXCL12 may decrease in BM due to the induction of a proteolytic microenvironment after conditioning for transplantation, as seen, for example, after lethal irradiation [29, 30]. However, as shown in Figure 1, several factors are released from the damaged tissues that ameliorate this effect. These molecules are produced during the process of complement cascade (CC) activation, secreted from stromal and myeloid cells, or released from damaged cells, and cooperatively enhance or sensitize the responsiveness of HSPCs to a decreasing CXCL12 gradient. This process of sensitizing the responsiveness of cells to a shallow CXCL12 gradient in the presence of external modulatory molecules is known as the priming effect and can easily be evaluated in vitro in the Transwell migration assay, where two chambers (an upper chamber containing the tested cells and a lower chamber containing chemoattractant) are separated by a porous membrane that allows transmigration of cells that respond to the chemotactic gradient (Figure 2). Cells that respond to this gradient migrate and subsequently accumulate in the lower chamber.

 Figure 2 

A priming effect increases the responsiveness of HSPCs to shallow CXCL12 gradients. The overall scheme of chemotactic assays performed in the Transwell system to evaluate the HSPC priming phenomenon (Panel A). In the presence of a priming agent (e.g., cationic antimicrobial peptides [CAMPs] such as C3a, cathelicidin [LL-37], or β2-defensin), HSPCs respond more robustly to low doses of CXCL12. This phenomenon is currently being tested in the clinic, where UCB is exposed ex vivo to a priming agent (e.g., C3a) before transplantation in order to respond more robust to CXCL12 homing gradient (Panel B - thick arrow).

Theranostics Image (Click on the image to enlarge.)

Figure 2 illustrates the findings that chemotaxis of HSPCs in response to a shallow CXCL12 gradient is significantly enhanced in the presence of several of these priming factors. This situation occurs also in vivo when the concentrations of these factors increases in a BM microenvironment damaged by myeloablative treatment and collectively enhance the responsiveness of transplanted HSPCs circulating in PB to an CXCL12 gradient [31-38].

- C3 cleavage fragments as priming factors. It has been demonstrated that the CC, an evolutionarily ancient danger-sensing mechanism, becomes activated during conditioning for transplantation by radio- and chemotherapy [29, 31, 32]. The third component of the CC (C3) is an abundant protein in PB plasma (1 mg/ml) that becomes cleaved during CC activation by both classical and alternative pathways [39]. C3 cleavage leads to release of liquid-phase cleavage fragments, the C3a and des-ArgC3a anaphylatoxins [40]. C3a has a short half-life in plasma and is processed by serum carboxypeptidase N to des-ArgC3a, which is a long-half-life cleavage product.

However, C3 cleavage fragments alone do not chemoattract HSPCs, our previous work on C3-/- mice revealed that animals lacking C3 display a significant delay in hematopoietic recovery from either sub-lethal irradiation or transplantation of wild type (WT) HSPCs [40]. Specifically, we observed that transplantation of histocompatible wild type (WT) Sca-1+ cells into C3-/- mice resulted in a delay in hematological reconstitution in all hematopoietic lineages [40]. The fact that HSPCs from C3-/- mice engrafted normally into irradiated WT mice suggests that there was a defect in the hematopoietic environment of C3-/- mice and not an autonomous defect in the C3-/- mouse-derived HSPCs [40].

Since C3-/- mice cannot activate or cleave C3, the C3 cleavage products C3a and des-ArgC3a were examined for a role in modulating the responsiveness of HSPCs to an CXCL12 homing gradient [35, 40]. We observed that both short-half-life C3a and long-half-life des-ArgC3a significantly enhanced migration of HSPCs at a low or threshold level of CXCL12 in a Transwell migration assay [31]. The molecular explanation for this phenomenon has been identified as a C3a- and des-ArgC3a-mediated increase in CXCR4 incorporation into membrane lipid rafts [35, 40].

Lipid rafts are membrane domains rich in sphingolipids and cholesterol, which form a lateral assembly in a saturated glycerophospholipid environment of cell surface membranes. The raft domains are known to serve as moving platforms on the cell and are also good sites for crosstalk between various cell surface molecules (e.g., CXCR4) and proteins that form intra-cellular signaling pathways. For example, it has recently been reported that small guanine nucleotide triphosphatases (GTPases), such as Rac-1 and Rac-2, which are crucial for engraftment of hematopoietic cells after transplantation, are associated with lipid rafts on migrating HSPCs [41-45]. Therefore, since the CXCR4 receptor is a lipid raft-associated protein, its signaling ability is enhanced if it is incorporated into membrane lipid rafts, where it can better interact with several signaling molecules, including the small GTPase Rac-1. This co-localization of CXCR4 and Rac-1 in lipid rafts facilitates GTP binding and activation of Rac-1 [35]. Thus, the generation of C3 cleavage fragments in the BM microenvironment may somehow act as a protective mechanism that increases the responsiveness of HSPCs to an CXCL12 gradient when it is degraded by a proteolytic microenvironment after myeloablative conditioning for transplantation [29, 30]. In C3-deficient mice this phenomenon is attenuated, explaining why these animals show delayed engraftment after hematopoietic transplantation.

In this context, activation of the CC, which leads to increases in C3a or des-ArgC3a levels in BM after myeloablative conditioning [29], can be envisioned as one of the mechanisms that promotes homing of HSPCs (Figures 1-2). In fact, this relatively simple strategy for enhancing responsiveness of the HSPCs to be transplanted, which is based on short ex vivo exposure of HSPCs before transplantation to C3a, has been proposed for use in the clinic to enhance engraftment of HSPCs, and an appropriate FDA-approved clinical trial has been initiated for patients undergoing umbilical cord blood (UCB) transplantations.

- Cationic antimicrobial peptides (CAMPs) as priming factors. CAMPs are host-defense peptides and are an evolutionarily conserved component of the innate immune response [46-48]. Interestingly, the C3a and des-ArgC3a anaphylatoxins mentioned above share several properties with classical peptides from the CAMP family [47]. CAMPs have been demonstrated to perforate prokaryotic cell membranes and thus kill bacteria, enveloped viruses, and fungi, but affect only the organization and not the viability of eukaryotic cell membranes. The selective effects of these natural antibiotics (i.e., prokaryotic killing and eukaryotic membrane perturbation) are known to be dependent on the characteristics of cell membranes [46-48]. While prokaryotic cell membranes are susceptible to strong electrostatic and hydrophobic interactions with these “natural antibiotics”, which may lead to membrane perforation, the cell membranes of eukaryotic cells are more resistant to the toxic effects of these peptides, because of their high cholesterol content and weak hydrophobic interactions with these peptides [46-48].

One of the interesting properties of CAMPs that we identified is their ability to enhance or prime the responsiveness of cells to an CXCL12 gradient (Figure 1). Therefore, cathelicidin (LL-37) and β2-defensin, which, like C3a, belong to the CAMP family, positively prime the responsiveness of HSPCs to an CXCL12 homing gradient (Figures 1-2) [31-33].

Like C3 cleavage fragments, CAMPs also enhance incorporation of CXCR4 into lipid rafts so that CXCR4 is activated more efficiently in the presence of low doses of CXCL12, which facilitates its signaling. Interestingly, LL-37 and β-2 defensin, first described as being secreted by myeloid cells, are also secreted by BM stromal cells and, like CXCL12, their expression is regulated by HIF-1α [48]. However, while LL-37 and β-2 defensin are also peptides, they seem to be more resistant to proteolytic enzymes and are thus more stable in a proteolytic microenvironment than CXCL12.

- Other priming molecules. In addition to the CAMPs, hylauronic acid [34], fibrinogen [35], and cell membrane-derived microvesicles [38] have also been reported to increase the responsiveness of HSPCs to an CXCL12 gradient. The exact mechanism of this priming effect, however, has still not been elucidated, but is most likely mediated by the interaction of these factors with integrin receptors on HSPCs. Activation of these receptors may promote lipid raft formation, again leading to incorporation of CXCR4 into lipid rafts [35]. This putative phenomenon has been confirmed for fibrinogen [35, 40] and the small spherical membrane fragments shed and secreted from the activated cells called microvesicles [35, 38].

Thus, incorporation of CXCR4 into membrane lipids rafts, which ensures its most optimal signaling, is a mechanism shared by several factors that positively modulate the CXCL12-CXCR4 axis, including CC cleavage fragments, CAMPs, and molecules related to coagulation/inflammation (e.g., fibrinogen and hyaluronic acid).

That priming molecules (e.g., C3 cleavage fragment, CAMPs, and microvesicles) are generated during harvest of mobilized HSPCs from PB during the process of leucophoresis, may explain why, in certain situations, mobilized PB HSPCs engraft faster than HSPCs harvested by aspiration under steady-state conditions BM [49]. This mechanism, which is involved in trafficking of CXCR4+ HSPCs, may also play an important role in migration of other types of CXCR4+ cells, such as lymphocytes or macrophages in tissues affected by inflammation.

Prostaglandin E (PGE2) increases the homing activity of the CXCL12-CXCR4 axis

In addition to the abovementioned CC-released and CAMP-related priming factors, PGE2 has also been purported to increase the responsiveness of HSPCs to an CXCL12 gradient [50]. This important effect of PGE2 is particularly observable in the most primitive HSPCs [6, 51]. However, the mechanism of the PGE2 effect on this process is not lipid raft-mediated (Figure 1). Instead, PGE2 plays an important role in homing of HSPCs by upregulating the expression of CXCR4 on the surface of HSPCs, and this seems to be the most likely mechanism responsible for increasing chemotaxis in response to an CXCL12 gradient after pretreatment of HSPCs with PGE2 [6, 51, 52].

In further support of this notion, the positive effect of PGE2 on migration of HSPCs in response to an CXCL12 gradient was blocked by a selective CXCR4 antagonist (AMD3100), indicating a primary role for CXCR4 in this process. Furthermore, it has been shown that, while PGE2 upregulates CXCR4 in microvascular endothelial cells by involving the Sp1 transcription factor [52], in hematopoietic cells this PGE2 effect is mediated by the PKC-zeta signaling pathway [50].

It has been demonstrated in a murine model that HSPCs cultured with PGE2 before transplantation engraft better in lethally irradiated recipients [51]. Thus, as with C3a, PGE2 is currently employed in clinical trials as an ex vivo priming agent to enhance the responsiveness of HSPCs to be transplanted to an CXCL12 gradient.

In further support of a role for PGE2 in homing of transplanted HSPCs, it has recently been reported that the level of this eicosanoid is significantly upregulated in BM conditioned for hematopoietic transplantation by lethal irradiation [29]. Thus, PGE2, together with C3a and CAMPs, is released in the BM microenviroment, and all these factors cooperatively enhance the homing responsiveness of transplanted HSPCs.

In addition to PGE2, other factors have also been described that may modulate expression of CXCR4 on cells, such as glucocorticoids [53], lysophosphatidylcholine [54], TGF-β1 [55], VEGF [56], IFN-α [57], and several interleukins (IL-2, IL-4, and IL-7) [58]. These factors however, were not tested for whether they modulate the responsiveness of HSPCs to an CXCL12 gradient.

The positive effect of HMGB1 on the chemotactic responsiveness of cells to CXCL12

The high-mobility group box 1 protein (HMGB1, also known as amphoterin) is a non-histone chromosomal protein that modulates CXCL12-mediated migration of hematopoietic cells, as recently demonstrated [36, 37]. This chromatin architectural protein belongs to broad family of so-called “alarmins” and is released from damaged cells, for example, in the BM microenvironment after myeloablative conditioning for transplantation.

As depicted in Figure 1, the twofold HMGB1 effect is by i) forming a heterocomplex with the CXCL12 molecule to present it to the CXCR4+cells as a more efficient signaling ligand [36] and ii) sustaining autocrine secretion of CXCL12 [37]. So far, these mechanisms have been demonstrated for migrating monocytes [36] and murine BM-derived macrophages [37], respectively. In the first case, fluorescence resonance energy transfer revealed that the HMGB1-CXCL12 complex promotes different conformational rearrangements after binding to CXCR4 than when CXCL12 alone interacts with CXCR4 [36].

In the second case, it was found that the HMGB1-induced NF-κB noncanonical pathway is solely required to maintain the autocrine CXCL12-CXCR4 loop involved in migration of murine macrophages. However, since HSPCs also secrete autocrine CXCL12 [59], it would be interesting to test the relevance of HMGB1 to the migration of HSPCs as well.

Future directions

As demonstrated in this review, evidence has accumulated that the chemotactic responsiveness of HSPCs to several different types of homing gradients can be modulated by ex vivo manipulations. One potential strategy is to take advantage of the HSPC-priming approach. For instance, the possibility of accelerating or enhancing the homing of HSPCs by ex vivo exposure of cells to C3a before infusion into the patient is currently being evaluated in an ongoing clinical trial (Masonic Cancer Center, University of Minnesota). Another interesting molecule that should be tested in the clinical setting as a potential priming factor is the cathelicidin LL-37. The advantage of LL-37 is that it is a physiological factor secreted by BM stromal cells and is a more potent priming factor than C3a [33].

Another possible ex vivo manipulation of HSPCs in grafting is exposure to PGE2 in order to upregulate expression of CXCR4 to enhance the homing of transplanted cells [50-52]. This strategy is also currently being evaluated in a clinical trial. Overall, these strategies are particularly valuable in clinical situations where the number of HSPCs available to be transplanted is limited, as seen, for example, in UCB transplants.

In addition to the abovementioned strategies, there are other possibilities for manipulating HSPCs to enhance their homing that are beyond the scope of this review. For example, based on observations that the CXCL12 interaction with CXCR4+ HSPCs is attenuated by the dipeptidyl-peptidase CD26, inhibition of CD26 on HSPCs could enhance their chemotactic responsiveness to an CXCL12 gradient [60, 61]. Another interesting strategy is modification of adhesion molecules on HSPCs by ex vivo treatment with fucosyltransferase, which increases the level of fucosylation of these receptors [62]. As has demonstrated, after blockage of CD26 or after fucosylation of adhesion molecules, human HSPCs home and subsequently engraft better in immunodeficient mice [62].

Moreover, evidence accumulates that different subsets of stem cells in BM may be preferentially mobilized by different factors. To support this vascular endothelial growth factor (VEGF) mobilizes preferentially endothelial progenitor cells [63].

These developments suggest that hematological transplantology can take advantage of basic research to translate these observations into more efficient clinical protocols.


This work was supported by NIH grant 2R01 DK074720, Stella and Henry Endowment, the European Union structural funds (Innovative Economy Operational Program POIG.01.01.02-00-109/09-00) and grant Maestro 2011/02/A/NZ4/00035.

Competing Interests

The authors have declared that no competing interest exists.


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Author contact

Corresponding address Corresponding author: Prof. Mariusz Z. Ratajczak MD, PhD. Hoenig Endowed Chair, Professor and Director Stem Cell Institute at James Graham Brown Cancer Center, University of Louisville, 500 S. Floyd Street, Rm. 107, Louisville, KY 40202, USA. Tel: (502) 852-1788, Fax: (502) 852-3032 Email: mzrata01edu.

Received 2012-5-20
Accepted 2012-7-11
Published 2013-1-12