Ectopic matrix metalloproteinase-9 expression in human brain tumor cells enhances oncolytic HSV vector infection.

Oncolytic herpes simplex virus (oHSV) vectors have shown promise in the treatment of patients with recurrent brain tumors although few complete responses have accrued. Impediments to effective therapy include limited vector distribution on delivery, a consequence of injected virion particle trapping in the tumor extracellular matrix (ECM). To enhance virus delivery and spread, we investigated the use of the matrix metalloproteinase-9 (MMP-9) as a means to degrade collagen type IV, a major component of the ECM and basement membranes of gliomas that is absent in normal brain tissue. SK-N-AS neuroblastoma cells were transduced for constitutive, elevated expression of MMP-9, which did not enhance tumor cell migration in vitro or tumor progression in a murine xenograft brain tumor model. MMP-9 expression improved the distribution and infection of oHSV vectors in spheroid model in vitro. Furthermore, MMP9 induced a vector infection over larger areas of brain tumors in vivo. These results suggest that vector delivery and distribution in vivo can be improved by compromising the ECM, potentially enhancing oncolytic efficacy.

Balb/c EGFP mice are tolerant against immunization utilizing recombinant adenoviral-based vectors encoding EGFP: a novel model for the study of tolerance mechanisms and vaccine efficacy.

Enhanced green fluorescent protein (EGFP) is a marker gene product which is readily detectable using the techniques of fluorescence microscopy, flow cytometry, or macroscopic imaging. Previous studies have demonstrated the immunogenicity of EGFP in Balb/c mice, identifying an immunodominant H2-K(d) restricted CTL epitope. To model immunological tolerance and vaccine efficiency against self-antigens, we generated a stable transgenic BALB/c mouse expressing EGFP (Balb/c EGFP) through back-crossing C57Bl/6-TG(ACTbEGFP)10sb more than ten times with Balb/c wildtype (wt) mice. High level EGFP expression was detected in the skin and heart, whereas low level expression was observed in the kidney, liver, gut, lung, and spleen. To characterize the immune reactivity to self-antigen, we immunized Balb/c EGFP and Balb/c wt mice with recombinant adenoviral-based vectors encoding EGFP (Ad-EGFP) or beta-galactosidase (Ad-betagal) as a control. Immunization utilizing the Ad-betagal vector expressing 'foreign' antigen induced robust humoral and cellular transgene-specific immunity, whereas Balb/c EGFP mice presented no reactivity following Ad-EGFP immunization against the 'self-antigen' EGFP. These findings describe the creation of a transgenic mouse line tolerant against the common protein marker EGFP, providing a novel system for the evaluation of methods of tolerance disruption and vaccine efficacy.

Prolonged gene expression in mouse lung endothelial cells following transfection with Epstein-Barr virus-based episomal plasmid.

The development of a strategy to deliver a gene to pulmonary endothelium will be useful for gene function study and for pulmonary gene therapy. Cationic lipidic vectors are efficient in gene transfer to pulmonary endothelium via the vascular route; however, gene expression is transient and lasts for only a few days. In this study, we show that pulmonary gene transfer via cationic lipidic vectors can be significantly improved using an Epstein-Barr virus (EBV)-based expression plasmid. Systemic administration of cationic liposomes followed by the EBV-based plasmid led to gene expression in the lung that lasted for more than 3 weeks. Prolonged and high levels of gene expression can also be obtained in primary mouse lung endothelial cells (MLEC) following lipofection with an EBV-based plasmid. These results suggest the utility of this gene transfer protocol in studying the expression of cloned genes in lung endothelial cells and in pulmonary gene therapy.

Redirecting adenovirus to pulmonary endothelium by cationic liposomes.

Somatic gene transfer to the pulmonary endothelium may be a useful strategy for modifying the phenotype of endothelium and/or vascular smooth muscle in disorders such as primary pulmonary hypertension, ARDS or pulmonary metastatic disease. Adenoviral (Ad) vectors, although highly efficient in liver gene transfer, have proven to be limited for pulmonary gene transfer with respect to efficiency, in part because of difficulty in assuring significant residence time in the lung and/or paucity of receptors for adenovirus on the endothelium. A recent study has shown that the use of a bispecific antibody to endothelial cells and Ad vectors efficiently redirects Ad vectors to pulmonary endothelium and improves gene expression in the lung. In this study, we report that pulmonary gene transfer by Ad vectors can also be improved significantly via the use of cationic liposomes. Preinjection of cationic liposomes followed by adenovirus led to a significant increase in the level of gene expression in the lung. The improvement in pulmonary gene transfer was associated with a decrease in the level of gene expression in the liver. Gene expression in the lung lasted for up to 2 weeks. This protocol, together with genetic modification of adenovirus, may prove to be useful for pulmonary gene transfer for the treatment of pulmonary diseases. This method may also be extended to pulmonary gene transfer using other types of viral vectors via vascular route.

Dynamic changes in p27kip1 variant expression in activated lymphocytes.

The p27Kip1 cell cycle inhibitor (p27) has emerged as a critical mediator of normal cellular growth control. We report the expression of a 24 kD C-terminal variant of p27 in normal peripheral blood lymphocytes. This variant is rapidly degraded in a proteasome-dependent manner when lymphocytes are activated by interleukin-2 or by superantigen. Whereas p24 degradation is complete within 16 h of mitogen addition, full-length p27 is decreased only modestly over 72 h of mitogen exposure and is present in activated and cycling lymphocytes. Persistent p27 is present in a complex with cyclin D3 in activated lymphocytes, and is localized both in the nucleus and cytoplasm. These results indicate that lymphocytes exiting from quiescence use several mechanisms to overcome the p27Kip1-enforced cell cycle checkpoint, and that elimination of p27 is not required for cell cycle entry.

Intestinal cytokine gene expression in infants with acute necrotizing enterocolitis: interleukin-11 mRNA expression inversely correlates with extent of disease.

BACKGROUND/PURPOSE: The authors have shown previously that surgical specimens from infants with acute necrotizing enterocolitis (NEC) show upregulation of inducible nitric oxide (NO) synthase (iNOS) and interferon-gamma mRNA. However, the contribution of other inflammatory cytokines such as interleukin-8 (IL-8), IL-11, and IL-12 has not been defined. Likewise, the role of GTP-cyclohydrolase, the rate-limiting enzyme in tetrahydrobiopterin synthesis, and thus NO production by iNOS is unclear. In this study, the authors sought to further define the pattern of cytokine expression seen in infants with acute NEC. METHODS: The authors measured intestinal cytokine mRNA expression by semiquantitative reverse transcriptase polymerase chain reaction in 21 infants with histologically confirmed NEC, 18 with other inflammatory conditions, and in 9 patients without intestinal inflammation. Guanosine triphosphate-cyclohydrolase (GTP-CH) activity was measured by specific enzyme assay. Univariate exact logistic regression analysis was performed to identify predictors of outcome. RESULTS: IL-8 and IL-11 mRNA were upregulated in patients with acute NEC compared with those with other inflammatory conditions or those without disease; these levels returned to baseline at the time of stoma closure. Increased IL-11 mRNA decreased the likelihood of pan-necrosis (odds ratio, 0.93; P =.002). Increased IL-12 levels (but not IL-8) seemed to protect against pan-necrosis (odds ratio, 0.70; P =.06). CONCLUSIONS: Local upregulation of IL-11 may represent an adaptive response designed to limit the extent of intestinal damage in NEC. Decreased IL-12 levels may contribute to the pathogenesis of NEC by allowing bacteria to escape host defenses.

p27Kip1 localizes to detergent-insoluble microdomains within lymphocyte membranes.

BACKGROUND: Low levels of the cyclin-dependent kinase inhibitor p27Kip1 are associated with poor prognosis in cancer. It is unclear whether this is related strictly to p27Kip1-mediated cell cycle inhibition or to other, possibly extranuclear, roles of this protein. In this study, we examined p27Kip1 expression in quiescent and activated lymphocytes. T-cell membranes have been shown to possess sphingolipid and cholesterol-rich microdomains that are insoluble in non-ionic detergents. These "rafts" provide a scaffold for signaling proteins. Signal transduction coincides with coalescence of these microdomains into larger complexes. METHODS: Localization of p27Kip1 was studied by electron and confocal microscopy. Association of p27Kip1 with membrane microdomains in unstimulated and stimulated lymphocytes was determined using Western blots analysis of isolated membranes variably treated with detergents. RESULTS: We demonstrated that p27Kip1 was present in clusters associated with the plasma membrane in normal lymphocytes. The solubility profile of p27Kip1 in isolated membranes indicated that it was localized to raft structures. When lymphocytes were stimulated, however, p27Kip1 was excluded from aggregated raft complexes. CONCLUSIONS: This study identifies, for the first time, the localization of p27 within a membrane microdomain associated with signaling. Because some cell surface signaling complexes lose p27Kip1 upon cellular activation, p27Kip1 may play a functional role in modulating membrane signaling.

Overexpression of tumor necrosis factor- alpha activates both anti- and pro-apoptotic pathways in the myocardium.

We have previously reported that mice with cardiac-specific overexpression of tumor necrosis factor (TNF)- alpha develop myocardial inflammation, cardiac hypertrophy, and dilated cardiomyopathy. TNF- alpha is reported to induce apoptosis in cultured cardiac myocytes. To investigate the role of apoptosis in this transgenic model, wild-type controls (WT) and transgenic mice (TG) at the age of 1, 8, and 40 weeks were analyzed. Increased incidence of apoptosis in TG was indicated by DNA laddering. TUNEL assays revealed that the frequencies of apoptotic cells were increased in the TG myocardium at all ages. However, as revealed by histochemical and immunofluorescent methods, most of the apoptotic cells appeared to be non-myocytes even in the mice with overt congestive heart failure. To elucidate the signaling pathways responsible for TNF- alpha induced apoptosis, expression of apoptosis-related genes were evaluated by multi-probe RNase protection assays. Transcripts for death-domain-related proteins, including TNFR1, Fas, FADD, TRADD, and RIP, were constitutively expressed in WT and upregulated in the TG myocardium. Expression of caspase-1 through -8 was also enhanced in TG. While both anti- and pro-apoptotic Bcl-2 family genes were constitutively expressed in WT, TNF- alpha overexpression strongly induced anti-apoptotic A1 in the myocardium. Furthermore, TNF- alpha overexpression activated NF- kappa B, a mediator of anti-apoptotic pathways, in the myocardium. Thus, overexpression of TNF- alpha activated both anti- and pro-apoptotic pathways in the myocardium, resulting in an increase of apoptosis, primarily in non-myocytes. These results suggest that TNF- alpha by itself is not sufficient to induce apoptosis in cardiac myocytes in vivo.

Scavenging nitric oxide reduces hepatocellular injury after endotoxin challenge.

Sustained upregulation of inducible nitric oxide (NO) synthase in the liver after endotoxin [lipopolysaccharide (LPS)] challenge may result in hepatocellular injury. We hypothesized that administration of a NO scavenger, NOX, may attenuate LPS-induced hepatocellular injury. Sprague-Dawley rats received NOX or saline via subcutaneous osmotic pumps, followed 18 h later by LPS challenge. Hepatocellular injury was assessed using biochemical assays, light, and transmission electron microscopy (TEM). Interleukin (IL)-6 mRNA was measured by RT-PCR. Tumor necrosis factor (TNF)-alpha protein expression was determined by immunohistochemistry. NOX significantly reduced serum levels of ornithine carbamoyltransferase and aspartate aminotransferase. TNF-alpha and IL-6 expression were increased in the livers of saline-treated but not NOX-treated rats. Although there was no difference between groups by light microscopy, TEM revealed obliteration of the space of Disse in saline-treated but not in NOX-treated animals. Electron paramagnetic resonance showed the characteristic mononitrosyl complex in NOX-treated rats. We conclude that NOX reduces hepatocellular injury after endotoxemia. NOX may be useful in the management of hepatic dysfunction secondary to sepsis or other diseases associated with excessive NO production.

Vaginal mucosa serves as an inductive site for tolerance.

These data demonstrate that tolerance can be induced by vaginal Ag exposure. In these experiments, mice were given vaginal agarose gel suppositories containing either 5 mg OVA or saline for 6 h. Mice were given suppositories either during the estrous (estrogen dominant) or diestrous (progesterone dominant) stage of the estrous cycle. Mice were restrained during the inoculation period to prevent orovaginal transmission of the Ag. After 1 wk, mice were immunized s. c. with OVA in CFA. After 3 wk, mice were tested for delayed-type hypersensitivity responses by measuring footpad swelling and measuring in vitro proliferation of lymphocytes to Ag. Using ELISA, the magnitude of the serum Ab response was also measured. In some mice, FITC conjugated to OVA was used to track the dissemination of the protein into the systemic tissues. The magnitude of footpad swelling was significantly reduced in mice receiving OVA-containing suppositories during estrus compared with mice receiving saline suppositories. Concomitant decreases in the Ag-specific proliferative response were also observed in lymph node lymphocytes and splenocytes. Conversely, mice inoculated during diestrus did not show a decreased response to Ag by either footpad response or in vitro proliferation. Serum Ab titers in the estrus-inoculated mice did not decrease significantly. These data demonstrate that the reproductive tract can be an inductive site for mucosally induced tolerance. However, unlike other mucosal sites such as the lung and gastrointestinal tract, reproductive tract tolerance induction is hormonally regulated.

Recombinant human interleukin-11 prevents mucosal atrophy and bowel shortening in the defunctionalized intestine.

BACKGROUND: Mucosal atrophy and bowel shortening are the hallmark of proximal intestinal diversion for extensive necrotizing enterocolitis (NEC) or Thiry-Vella fistulas (TVF), in which the ends of a defunctionalized loop of intestine are exteriorized as stomas. Recombinant human interleukin-11 (rhIL-11) is a pleiotropic cytokine that promotes epithelial regeneration and enhances adaptation after bowel resection. The authors hypothesized that rhIL-11 may prevent mucosal atrophy and bowel shortening in rats with TVF METHODS: After creation of ileal TVF, Sprague-Dawley rats were selected randomly to receive either rhIL-11 or equal volume of 0.1% bovine serum albumin (BSA) subcutaneously daily. On day 14, the TVF were excised and examined morphologically. Enterocyte apoptosis was measured using the TUNEL assay. Mucosal DNA and protein content were measured. RESULTS: Administration of rhIL-11 resulted in a significantly greater weight gain and less shortening of TVF than BSA treatment. TVF from the rhIL-11-treated group showed evidence of hyperplasia and hypertrophy and increased crypt to villus ratio. The BSA group had substantial mucosal atrophy. There was a qualitative decrease in the incidence of apoptosis in the rhIL-11 group. CONCLUSIONS: Recombinant human IL-11 prevents mucosal atrophy and shortening of defunctionalized intestinal loops. It may help reduce the incidence of short gut syndrome in infants with extensive NEC.

Immunotherapy of NOD mice with bone marrow-derived dendritic cells.

We evaluated two bone marrow-derived dendritic cell (DC) populations from NOD mice, the murine model for type 1 human diabetes. DCs derived from GM-CSF [granulocyte/macrophage colony-stimulating factor] + interleukin (IL)-4 cultures expressed high levels of major histocompatibility complex (MHC) class II, CD40, CD80, and CD86 molecules and were efficient stimulators of naive allogeneic T-cells. In contrast, DCs derived from GM-CSF cultures had low levels of MHC class II costimulation/activation molecules, were able to take up mannosylated bovine serum albumin more efficiently than GM + IL-4 DCs, and were poor T-cell stimulators. The two DC populations migrated to the spleen and pancreas after intravenous injection. To determine the ability of the two DC populations to modulate diabetes development, DCs were pulsed with a mixture of three islet antigen-derived peptides or with medium before injection into prediabetic NOD mice. Despite phenotypic and functional differences in vitro, both populations prevented in vivo diabetes development. Pulsing of the DCs with peptide in vitro did not significantly improve the ability of DCs to prevent disease, which suggests that DCs may process and present antigen to T-cells in vivo. In addition, we detected GAD65 peptide-specific IgG1 antibody responses in DC-treated mice. Overall, these results suggest that a Th2 response was generated in DC-treated mice. This response was optimal when using GM + IL-4 DCs, which suggests that the balance between regulatory Th2 and effector Th1 cells may have been altered in these mice.

NOX, a novel nitric oxide scavenger, reduces bacterial translocation in rats after endotoxin challenge.

Endotoxemia promotes gut barrier failure and bacterial translocation (BT) by upregulating inducible nitric oxide synthase (iNOS) in the gut. We hypothesized that administration of a dithiocarbamate derivative, NOX, which scavenges nitric oxide (NO), may reduce intestinal injury and BT after lipopolysaccharide (LPS) challenge. Sprague-Dawley rats were randomized to receive NOX or normal saline via subcutaneously placed osmotic pumps before or after LPS challenge. Mesenteric lymph nodes, liver, spleen, and blood were cultured 24 h later. Transmucosal passage of Escherichia coli C-25 or fluorescent beads were measured in an Ussing chamber. Intestinal membranes were examined morphologically for apoptosis, iNOS expression, and nitrotyrosine immunoreactivity. NOX significantly reduced the incidence of bacteremia, BT, and transmucosal passage of bacteria and beads when administered before or up to 12 h after LPS challenge. LPS induced enterocyte apoptosis at the villus tips where bacterial entry was demonstrated by confocal microscopy. NOX significantly decreased the number of apoptotic nuclei and nitrotyrosine residues. NOX prevents LPS-induced gut barrier failure by scavenging NO and its toxic derivative, peroxynitrite.

Teaching elementary students with developmental disabilities to recruit teacher attention in a general education classroom: effects on teacher praise and academic productivity.

Four fourth graders with developmental disabilities were trained to recruit teacher attention while they worked on spelling assignments in a general education classroom. The students were taught to show their work to the teacher two to three times per session and to make statements such as, "How am I doing?" or "Look, I'm all finished!" Training was conducted in the special education classroom and consisted of modeling, role playing, error correction, and praise. A multiple baseline across students design showed that recruitment training increased (a) the frequency of students' recruiting, (b) the frequency of teacher praise received by the students, (c) the percentage of worksheet items completed, and (d) the accuracy with which the students completed the spelling assignments.

Immunoglobulin A supplementation abrogates bacterial translocation and preserves the architecture of the intestinal epithelium.

BACKGROUND: Breast milk has been shown to prevent gut-origin infections in neonates through undefined mechanisms. Putative protective factors in breast milk include immunoglobulin (Ig)A, IgG, and lactoferrin. We examined their role in bacterial translocation in neonatal rabbits. METHODS: IgA, IgG, and lactoferrin were isolated from rabbit breast milk through gel filtration and ion-exchange chromatography. Neonates were randomized to receive breast milk, formula alone, or formula supplemented with IgA, IgG, or lactoferrin. Quantitative cultures were performed on day 7 for bacterial translocation. Hematoxylin-eosin-stained sections of distal ileum were examined by light microscopy. Transmucosal bacterial passage was determined in vitro, and the ileal mucosal membranes were examined by confocal microscopy. RESULTS: IgA supplementation abrogated bacterial translocation. IgG and lactoferrin had no significant effect. Neonates that received IgA or breast milk gained more weight than those in the other groups. IgA reduced transmucosal bacterial passage in vitro. In contrast to the normal-appearing distal ileum of neonates fed breast milk, intestinal epithelium from neonates that received formula or formula with IgG or IgA demonstrated prominent vacuoles by light microscopy. Those fed formula alone or formula with lactoferrin had slightly shortened villi. CONCLUSIONS: IgA supplementation prevents bacterial translocation by enhancing gut mucosal barrier function.

Pure endotoxin does not pass across the intestinal epithelium in vitro.

Numerous reports suggest that endotoxin (LPS) may play a central role in triggering the inflammatory cascade that leads to the systemic inflammatory response syndrome. Although conditions that promote bacterial translocation in vivo may also facilitate direct translocation of LPS, the exact mechanisms by which LPS crosses the intestinal barrier to reach the systemic circulation are unknown. This study was designed to determine whether pure endotoxin could pass across injured rat ileal mucosa in the Ussing chamber. Sprague-Dawley rats were subjected to mild or severe hemorrhagic shock following carotid artery cannulation, and then resuscitated. Control animals underwent carotid artery cannulation only (sham-shock). Bacterial translocation to the mesenteric lymph nodes, liver, or spleen was measured after 24 h. Transmucosal passage of fluorescein isothiocyanate (FITC)-labeled E. coli C-25, or FITC-conjugated LPS was measured in the Ussing chamber. Intestinal membranes were examined by light and confocal laser microscopy. Severe hemorrhagic shock resulted in a 60% mortality rate and a 100% incidence of bacterial translocation in surviving animals. Sham-shock rats had a 100% survival rate and a 33% incidence of bacterial translocation. Transmucosal passage of FITC-E. coli C-25 was similar in both groups; however, passage of FITC-LPS was never detected. Histologic analysis confirmed mucosal injury to the intestinal epithelium of rats subjected to severe hemorrhagic shock, and confocal laser microscopy demonstrated passage of FITC-E. coil C-25, but not of FITC-LPS across the ileal membranes. Disruption of the intestinal epithelium with a potent mucolytic agent did not result in significant increase in transmucosal passage of FITC-LPS. We conclude that pure LPS does not pass across the intestinal mucosa in vitro. Transmucosal passage of LPS in vivo may be due, at least in part, to the release of bacterial cell wall fragments containing LPS from killed bacteria that had previously translocated.

Microbubbles targeted to intercellular adhesion molecule-1 bind to activated coronary artery endothelial cells.

BACKGROUND: Preclinical atherosclerosis is associated with increased endothelial cell (EC) expression of leukocyte adhesion molecules (LAMs), which mediate monocyte adhesion during atherogenesis. Identification of cell-surface LAMs may uniquely allow assessment of endothelial function, but there are no in vivo methods for detecting LAMs. We tested a new microbubble designed to bind to and allow specific ultrasound detection of intercellular adhesion molecule-1 (ICAM-1). METHODS AND RESULTS: A perfluorobutane gas-filled lipid-derived microsphere with monoclonal antibody to ICAM-1 covalently bound to the bubble shell was synthesized. Bubbles with either nonspecific IgG or no protein on the shell were synthesized as controls. Coverslips of cultured human coronary artery ECs were placed in a parallel-plate perfusion chamber and exposed to 1 of the 3 microbubble species, followed by perfusion with culture medium. Experiments were performed with either normal or interleukin-1beta-activated ECs overexpressing ICAM-1, and bubble adherence was quantified with epifluorescent videomicroscopy. There was limited adherence of control bubbles to normal or activated ECs, whereas a 40-fold increase in adhesion occurred when anti-ICAM-1-conjugated bubbles were exposed to activated ECs compared with normal ECs (8.1+/-3.5 versus 0.21+/-0.09 bubbles per cell, respectively, P<0.001). Although diminished, this difference persisted even after perfusion at higher wall shear rates. CONCLUSIONS: A gas-filled microbubble with anti-ICAM-1 antibody on its shell specifically binds to activated ECs overexpressing ICAM-1. Diagnostic ultrasound in conjunction with targeted contrast agents has the unique potential to characterize cell phenotype in vivo.

An in-depth analysis of lead effects in a delayed spatial alternation task: assessment of mnemonic effects, side bias, and proactive interference.

This study examined the effects of chronic postweaning lead (Pb) exposure in Long-Evans rats on a series of spatial alternation tasks. All tasks were administered in automated testing chambers, with a nosepoke as the critical response. While neither Pb-exposed group (median blood lead levels: 19 and 39 micrograms/dl, respectively) was impaired in learning the alternation rule, both groups performed more poorly than controls on the alternation task with variable intertrial delays (0, 10, 20, and 40 s). The deficit was constant across delays, arguing against memory dysfunction. Analyses of the responses on individual trials shed further light on the impaired and spared processes in the Pb-exposed rats. First, these analyses revealed stronger side biases in the higher exposure group. One interpretation is that these animals experienced impatience when the longer delays were included, making it more difficult for them to inhibit a prepotent response to a preferred side. In contrast, these trial-by-trial analyses revealed that several other factors-retention interval, semantic proactive interference, and temporal discriminability-exerted similar effects on performance in the control and lead-exposed animals. The use of logistic regression for these trial-by-trial analyses provided a means of simultaneously assessing the influence of several variables on performance, a significant advantage when there is confounding or interactions between variables.

Evaluation of data transformations used with the square root and schoolfield models for predicting bacterial growth rate.

A comparison was made between mathematical variations of the square root and Schoolfield models for predicting growth rate as a function of temperature. The statistical consequences of square root and natural logarithm transformations of growth rate use in several variations of the Schoolfield and square root models were examined. Growth rate variances of Yersinia enterocolitica in brain heart infusion broth increased as a function of temperature. The ability of the two data transformations to correct for the heterogeneity of variance was evaluated. A natural logarithm transformation of growth rate was more effective than a square root transformation at correcting for the heterogeneity of variance. The square root model was more accurate than the Schoolfield model when both models used natural logarithm transformation.