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PubMed2000

Is provider capitation working? Effects on physician-hospital integration and costs of care.

BACKGROUND: Capitation holds health providers fiscally responsible for the services they deliver or arrange and thus provides strong motivation for physicians and hospitals to integrate activities and reduce costs of care. OBJECTIVES: The objective of this study was to assess 2 potential effects of capitation: (1) its effects on the integration of functional, financial, and clinical processes between hospitals and physicians and (2) its effects, in conjunction with process integration, on hospital costs. STUDY DESIGN: We studied a 1995 American Hospital Association (AHA) special survey that has information on 44 different physician-hospital integrative activities and on global capitation contracts held by management service organizations, physician-hospital organizations, and other similar entities. These data were combined with the AHA's Annual Survey of Hospitals, InterStudy HMO data, the area resource file, and state regulation data. Multivariate analysis was used to assess the relationship between capitation and integration and then to examine the influence of these factors and others on hospital costs. We studied 319 urban hospitals with complete data. FINDINGS: Provider capitation was found to promote integration between hospitals and physicians in relation to administrative/practice management, physician financial risk sharing, joint ventures to create new services, computer linkages, and an overall measure of physician-hospital integration. However, anticipated effects of integration and capitation on hospital costs were not evident. CONCLUSIONS: Global capitation is motivating tighter integration between physicians and hospitals in a number of respects. Although capitation is currently having the intermediate effect of encouraging process integration, it is not yet having the ultimate anticipated effect of lowering hospital costs.

American Hospital Association↗
PubMed1994

Distribution of targets for avian retrovirus DNA integration in vivo.

The targeting of DNA integration in retrovirus-infected cells is a central yet very poorly understood aspect of the biology of the virus. To investigate this problem, we have assessed the use of specific sites for integration targets of avian leukosis virus (ALV) DNA within defined regions of turkey embryo fibroblast (TEF) cellular DNA. For this purpose, we developed an assay of sufficient sensitivity and specificity to allow detection and location of single integration events in a population of 5 million cells. Targets selected for study were either regions cloned by virtue of a previous integration event or clones chosen at random from cellular DNA. By use of this approach, we found that all genomic regions tested contained integration targets, with a frequency that varied from approximately 0.2 to 4 times that expected for random integration. Within regions, the frequency of use of specific sites varied considerably, with some sites used up to 280 times random frequency. When one region was introduced into cells at moderately high copy number by transfection, it provided integration targets in a pattern very much like that seen with the same sequence in vitro. On the basis of our sampling, we conclude that most or all regions of the TEF genome are accessible to ALV retroviral integration. As with integration in vitro, integration specificity seems to be determined largely by local structural features rather than accessibility of specific regions.

Animals↗
PubMed2005

Hepatitis B virus DNA integration in hepatocellular carcinoma after interferon-induced disappearance of hepatitis C virus.

OBJECTIVES: Hepatocellular carcinoma (HCC) has been reported in patients in whom hepatitis C virus (HCV) was eliminated by interferon (IFN) therapy. We examined the pathogenesis of HCC in patients with sustained viral response. METHODS: Operable HCC developed in 7 of 342 patients cured of HCV infection by IFN monotherapy. No patient abused alcohol or had diabetes mellitus or obesity. Resected specimens of HCC were histologically evaluated. DNA extracted from HCC was examined by polymerase chain reaction (PCR) to locate hepatitis B virus (HBV) DNA. HBV integration sites in human genome were identified by cassette-ligation-mediated PCR. RESULTS: HBV DNA was not amplified in serum samples from any of the seven patients with HCC and was found in liver in four patients. In the latter four patients, HBV DNA was integrated into the human genome of HCC. In two of these patients, covalently closed circular HBV (cccHBV) was also detected. The patients with HBV DNA integration were free of HCV for more than 3 yr. In two of the three patients without HBV DNA integration, the surrounding liver showed cirrhosis. The liver of HCC with HBV DNA integration had not progressed to cirrhosis. Three of the four tumors with HBV integration had one integration site each, located at chromosomes 11q12, 11q22-23, and 22q11, respectively. The other tumor had two integration sites, situated at chromosomes 11q13 and 14q32. At chromosome 11q12, HBV DNA was integrated into protein-coding genome, the function of which remains unclear. CONCLUSION: Integrated HBV DNA may play a role in hepatocarcinogenesis after the clearance of HCV by IFN treatment.

Aged↗
PubMed1995

Integration of viral sequences into the c-myc gene in two mammary adenocarcinomas induced by polyomavirus in athymic nude mice.

We report the analysis of polyomavirus (Py) DNA integration into chromosomal DNA of two Py-induced mammary adenocarcinomas of athymic nude mice. Prior observations had established that these tumors had high levels of episomal Py DNA, making analysis of integration sites difficult. Propagation of tumor cells in culture allows the isolation of lines which have lost episomal Py DNA but are still tumorigenic and thus can be used for in situ and Southern analysis of Py sequences. The data reported here support the conclusion that Py DNA integrated into and next to the c-myc gene, adding further importance to this tumor system which, in its modifications of c-myc expression, appears to be similar to some human mammary cancers. In situ hybridization experiments on metaphase chromosomes of tumor cells showed that (i) in both cases, there was a single integration site at the same position on the same chromosome in all cells of a given tumor, and (ii) integration sites were different in the two tumors; in one, it was located on chromosome 15, near the c-myc proto-oncogene, and in the other, it was situated in the distal part of chromosome 1. We have demonstrated a probable rearrangement between chromosome 1 and chromosome 15, in the region of Py insertion, thus suggesting that a specific site on chromosome 15 is involved in tumorigenesis. The discovery that Py DNA was integrated at specific sites in host chromosomes raised the questions of whether such integrations were correlated with the activation of specific oncogenes. The rearrangements of the c-myc proto-oncogene observed on Southern blot analysis for both tumors, along with similar integration patterns of Py sequences, the overexpression of the c-myc gene, and the synthesis of abnormal oversized hybrid transcripts between c-myc and Py genes, favor this hypothesis. Finally, the analysis of episomal Py DNA in various tumors shows viral populations presenting a specific deletion in a part of the Py late region. This deleted region in the episomal virus genome was systematically found integrated in chromosomal DNA, thus arguing for the importance of Py integration in the induction of mammary tumor.

Adenocarcinoma↗
PubMed2000

Relationship between retroviral DNA integration and gene expression.

Although retroviruses can integrate their DNA into a large number of sites in the host genome, factors controlling the specificity of integration remain controversial and poorly understood. To assess the effects of transcriptional activity on integration in vivo, we created quail cell clones containing a construct with a minigene cassette, whose expression is controlled by the papilloma virus E2 protein. From these clones we derived transcriptionally active subclones expressing the wild-type E2 protein and transcriptionally silent subclones expressing a mutant E2 protein that binds its target DNA but is unable to activate transcription. By infecting both clones and subclones with avian leukosis virus and using a PCR-based assay to determine viral DNA integration patterns, we were able to assess the effects of both protein binding and transcriptional activity on retroviral DNA integration. Contrary to the hypothesis that transcriptional activity enhances integration, we found an overall decrease in integration into our gene cassette in subclones expressing the wild-type E2 protein. We also found a decrease in integration into our gene cassette in subclones expressing the mutant E2 protein, but only into the protein binding region. Based on these findings, we propose that transcriptionally active DNA is not a preferred target for retroviral integration and that transcriptional activity may in fact be correlated with a decrease in integration.

Animals↗
PubMed2002

Isolation and analysis of retroviral integration targets by solo long terminal repeat inverse PCR.

Upon retroviral infection, the genomic RNA is reverse transcribed to make proviral DNA, which is then integrated into the host chromosome. Although the viral elements required for successful integration have been extensively characterized, little is known about the host DNA structure constituting preferred targets for proviral integration. In order to elucidate the mechanism for the target selection, comparison of host DNA sequences at proviral integration sites may be useful. To achieve simultaneous analysis of the upstream and downstream host DNA sequences flanking each proviral integration site, a Moloney murine leukemia virus-based retroviral vector was designed so that its integrated provirus could be removed by Cre-loxP homologous recombination, leaving a solo long terminal repeat (LTR). Taking advantage of the solo LTR, inverse PCR was carried out to amplify both the upstream and downstream cellular flanking DNA. The method called solo LTR inverse PCR, or SLIP, proved useful for simultaneously cloning the upstream and downstream flanking sequences of individual proviral integration sites from the polyclonal population of cells harboring provirus at different chromosomal sites. By the SLIP method, nucleotide sequences corresponding to 38 independent proviral integration targets were determined and, interestingly, atypical virus-host DNA junction structures were found in more than 20% of the cases. Characterization of retroviral integration sites using the SLIP method may provide useful insights into the mechanism for proviral integration and its target selection.

Animals↗
PubMed2004

Genome-wide analyses of avian sarcoma virus integration sites.

The chromosomal features that influence retroviral integration site selection are not well understood. Here, we report the mapping of 226 avian sarcoma virus (ASV) integration sites in the human genome. The results show that the sites are distributed over all chromosomes, and no global bias for integration site selection was detected. However, RNA polymerase II transcription units (protein-encoding genes) appear to be favored targets of ASV integration. The integration frequency within genes is similar to that previously described for murine leukemia virus but distinct from the higher frequency observed with human immunodeficiency virus type 1. We found no evidence for preferred ASV integration sites over the length of genes and immediate flanking regions. Microarray analysis of uninfected HeLa cells revealed that the expression levels of ASV target genes were similar to the median level for all genes represented in the array. Although expressed genes were targets for integration, we found no preference for integration into highly expressed genes. Our results provide a more detailed description of the chromosomal features that may influence ASV integration and support the idea that distinct, virus-specific mechanisms mediate integration site selection. Such differences may be relevant to viral pathogenesis and provide utility in retroviral vector design.

Avian Sarcoma Viruses↗
PubMed2005

The ataxia telangiectasia-mutated and Rad3-related protein is dispensable for retroviral integration.

Integration into the host cell DNA is an essential part of the retroviral life cycle and is required for the productive replication of a retrovirus. Retroviral integration involves cleavage of the host DNA and insertion of the viral DNA, forming an integration intermediate that contains two gaps, each with a viral 5' flap. The flaps are then removed, and the gap is filled by as yet unidentified nuclease and polymerase activities. It is thought that repair of these gaps flanking the site of retroviral integration is achieved by host DNA repair machinery. The ATM and Rad3-related protein (ATR) is a member of the phosphatidylinositol 3 kinase-related family of protein kinases that play a major role in sensing and triggering repair of DNA lesions in mammalian cells. In an effort to examine the role of ATR in retroviral integration, we used RNA interference to selectively downregulate ATR and measured integration efficiency. In addition, we examined the possible role that Vpr may play in enhancing integration and, in particular, whether activation of ATR by Vpr (Roshal et al., J. Biol. Chem. 278:25879-25886, 2003) will favor human immunodeficiency virus type 1 integration. We conclude that cells in which ATR has been depleted are competent for retroviral integration. We also conclude that the presence of Vpr as a virion-bound protein does not enhance integration of a lentivirus vector in dividing cells.

Animals↗
PubMed2026

Dual-dimensional profiling of host genomic variations and HPV integration in PD-L1-stratified cervical cancer via Oxford Nanopore Technology.

BACKGROUND: The integration of human papillomavirus (HPV) DNA into the host genome is a key step in the development of HPV-associated cervical cancer (CC). However, the genomic characteristics of host genomic variations and HPV integration within the context of programmed death-ligand 1 (PD-L1) expression stratification have not been systematically investigated. METHODS: Whole-genome sequencing was performed using Oxford Nanopore Technology (ONT) on six samples (three from the high PD-L1 expression group and three from the low PD-L1 expression group). The characteristics of host genomic variations under different PD-L1 expression stratifications were explored, including structural variations (SV), copy number variations (CNV), single nucleotide polymorphisms (SNP), and insertion-deletions (Indel). Subsequently, the distribution features of HPV integration sites were analyzed, different integration types were identified, and pathway analysis was conducted. RESULTS: Whole-genome SV analysis revealed that the total number of SVs and the composition of mutation types were similar between the high and low PD-L1 expression groups, with insertions (INS) and deletions (DEL) predominating in both. These variations were primarily enriched in intergenic regions and introns. In the low PD-L1 expression group, integration events were observed at multiple chromosomal loci, with the most frequent integration occurring in the KLF5 gene region on chromosome 13. No frequently integrated loci were identified in the high PD-L1 expression group. Additionally, four distinct HPV integration breakpoint patterns were preliminarily identified and analyzed. CONCLUSION: PD-L1 expression stratification did not significantly alter the overall genomic instability of the host. However, differences were observed in the distribution patterns of HPV integration sites. These findings provide new insights into the genomic heterogeneity of CC under different PD-L1 expression backgrounds and may lay the groundwork for future research exploring stratified immunotherapy based on HPV integration features.

Humans↗
PubMed1998

Upstairs downstairs: vertical integration of a pediatric service.

BACKGROUND: The combined effects of recent changes in health care financing and training priorities have compelled academic medical centers to develop innovative structures to maintain service commitments yet conform to health care marketplace demands. In 1992, a municipal hospital in the Bronx, New York, affiliated with a major academic medical center reorganized its pediatric service into a vertically integrated system of four interdependent practice teams that provided comprehensive care in the ambulatory as well as inpatient settings. One of the goals of the new system was to conserve inpatient resources. OBJECTIVE: To describe the development of a new vertically integrated pediatric service at an inner-city municipal hospital and to test whether its adoption was associated with the use of fewer inpatient resources. DESIGN: A descriptive analysis of the rationale, goals, implementation strategies, and structure of the vertically integrated pediatric service combined with a before-and-after comparison of in-hospital resource consumption. METHODS: A before-and-after comparison was conducted for two periods: the period before vertical integration, from January 1989 to December 1991, and the period after the adoption of vertical integration, from July 1992 to December 1994. Four measures of inpatient resource use were compared after adjustment for case mix index: mean certified length of stay per case, mean number of radiologic tests per case, mean number of ancillary tests per case, and mean number of laboratory tests per case. Difference-in-differences-in-differences estimators were used to control for institution-wide trends throughout the time period and regional trends in inpatient pediatric practice occurring across institutions. Results. In 1992, the Department of Pediatrics at the Albert Einstein College of Medicine reorganized the pediatric service at Jacobi Medical Center, one of its principal municipal hospital affiliates, into a vertically integrated pediatric service that combines ambulatory and inpatient activities into four interdependent practice teams composed of attending pediatricians, allied health professionals, house officers, and social workers. The new vertically integrated service was designed to improve continuity of care for patients, provide a model of practice for professional trainees, conserve scarce resources, and create a clinical research infrastructure. The vertically integrated pediatric service augmented the role of attending pediatricians, extended the use of allied health professionals from the ambulatory to the inpatient sites, established interdisciplinary practice teams that unified the care of pediatric patients and their families, and used less inpatient resources. Controlling for trends within the study institution and trends in the practice of pediatrics across institutions throughout the time period, the vertical integration was associated with a decline in 0.6 days per case, the use of 0.62 fewer radiologic tests per case, 0.21 fewer ancillary tests per case, and 2.68 fewer laboratory tests per case. CONCLUSIONS: We conclude that vertical integration of a pediatric service at an inner-city municipal hospital is achievable; conveys advantages of improved continuity of care, enhanced opportunities for primary care training, and increased participation of senior clinicians; and has the potential to conserve significant amounts of inpatient resources.

Academic Medical Centers↗
PubMed2005

[A research on healthcare integrating model of medical information system].

System integration is inevitable since there are lots of heterogeneous medical information systems in the complicated medical environment. The current medical communication standards often focus on one aspect of the integration and do not provide a general scheme. Based on the analysis of the application of medical integration, the medical integration model HIM (Healthcare integrating model) is put forward, and the dataflow integration framework, function integration framework and interface integration framework in the HIM are designed subsequently. HIM provides a 3-D scheme for the integration of medical information systems, which not only contains the three aspects of integration application vertically, but covers the whole medical area horizontally.

Database Management Systems↗
PubMed1993

Plasma integrated concentration of growth hormone after recombinant human growth hormone injection. Implications for determining an optimal dose.

OBJECTIVE: To evaluate the effect of a standard dose of injected recombinant growth hormone on the integrated concentrations of growth hormone and insulin. DESIGN: Integrated concentrations were studied in patients receiving growth hormone therapy before and on the day of injection. SETTING: Pediatric endocrine clinic and diagnostic unit. PATIENTS: Twelve growth hormone-deficient patients with poor linear growth and deficient growth hormone response to provocative stimulation and/or 24-hour integrated concentration. INTERVENTION: Patients received subcutaneous injections of 0.06 mg/kg of growth hormone three times a week in the evenings at approximately 8 PM. Integrated concentrations were measured again approximately 6 months after the start of therapy at the time of a growth hormone injection. MEASUREMENTS AND RESULTS: Mean growth hormone dose administered was 2.0 +/- 0.5 mg. Integrated concentration of growth hormone was 2.2 +/- 0.9 micrograms/L before therapy. The integrated concentration of growth hormone after treatment (14.6 +/- 4.2 micrograms/L) was significantly higher than that before treatment and that of normally growing children (P < .001). After injection, peak growth hormone level was 53.7 +/- 24.1 micrograms/L; time to peak growth hormone level, 4.8 +/- 1.2 hours; constant of elimination, 0.24 +/- 0.06 per hour; half life, 3.0 +/- 0.7 hours; area under the curve, 328 +/- 85 (microgram.h)/L; clearance rate, 107.6 +/- 34.3 mL/min (3.2 +/- 0.8 mL/min per kilogram based on weight, 95.2 +/- 24.2 mL/min per meter squared based on surface area). There was no relationship between integrated concentration of growth hormone or pharmacokinetic variables after treatment and the growth response to 6 months' therapy. Integrated concentration of insulin before treatment was 19.0 +/- 10.9 mU/L, which was significantly lower than that after injection of growth hormone (33.4 +/- 9.5 mU/L; n = 9, P < .0008). CONCLUSIONS: Integrated concentrations of growth hormone after an injection of 0.06 mg/kg of growth hormone are considerably higher than spontaneous integrated concentrations of growth hormone observed in normally growing children, and associated with a rise in insulin secretion. These changes may be pertinent in patients with underlying insulin resistance or when higher doses of growth hormone are used for therapy.

Adolescent↗
PubMed2001

Integration, phylogeny, and the hominid cranial base.

Basicranial features were examined in catarrhine primates and early hominids in order to demonstrate how information about morphological integration can be incorporated into phylogenetic analysis. Hypotheses purporting to explain the functional and structural relationships of basicranial characters were tested using factor analysis. Characters found to be functionally or structurally related to each other were then further examined in order to determine whether there was evidence that they were phylogenetically independent. If phylogenetic independence could not be demonstrated, then the characters were presumed to be integrated and were grouped into a complex. That complex was then treated as if it were a single character for the purposes of cladistic analysis. Factor analysis revealed that five basicranial features may be structurally related to relative brain size in hominoids. Depending on how one defines phylogenetic independence, as few as two, or as many as all of those characters might be morphologically integrated. A cladistic analysis of early hominids based on basicranial features revealed that the use of integrated complexes had a substantial effect on the phylogenetic position of Australopithecus africanus, a species whose relationships are poorly resolved. Moreover, the use of complexes also had an effect on reanalyses of certain published cladistic data sets, implying that those studies might have been biased by patterns of basicranial integration. These results demonstrate that patterns of morphological integration need to be considered carefully in all morphology-based cladistic analyses, regardless of taxon or anatomical focus. However, an important caveat is that the functional and structural hypotheses tested here predicted much higher degrees of integration than were observed. This result warns strongly that hypotheses of integration must be tested before they can be adequately employed in phylogenetic analysis. The uncritical acceptance of an untested hypothesis of integration is likely to be as disruptive to a cladistic analysis as when integration is ignored.

Animals↗
PubMed2004

Mapping and analysis of HPV16 integration sites in a head and neck cancer cell line.

Human papillomavirus (HPV) is a circular double-stranded DNA virus implicated in at least 90% of cervical and anogenital cancers and has been observed in approximately 20% of squamous cell carcinomas of the head and neck (SCCHN). Transcription of the viral oncogenes E6 and E7 is regulated by expression of the E2 protein. Disruption of the E2 gene sequence due to viral integration results in upregulation of E6 and E7, which promote tumorigenesis by abrogating p53 and pRb functions. HPV integration sites in cervical and anogenital cancers have been mapped primarily to chromosomal fragile sites and in some cases have been shown to integrate within tumor suppressor genes or other cancer-related genes. To study viral integration sites in SCCHN, we examined an HPV16-infected SCCHN cell line cultured from a tongue-base tumor. HPV fluorescence in situ hybridization (FISH) revealed multiple integrated viral DNA copies in blocks throughout the genome. Sequential FISH and spectral karyotyping identified integration sites on chromosomes 3, 6, 9q, 13q and t(1;8)(q;?). Restriction site-polymerase chain reaction (RS-PCR) was performed to identify the viral-cellular junctions. Sequence analyses confirmed integration sites at 9q31.1 and 6p21 and revealed a novel junction at 16p12.3. Subsequent chromosome breakage studies suggested that the observed viral-cellular integration sites may have occurred within common fragile sites. Additional studies using RT-PCR for E6--E7 viral transcripts showed oncoprotein expression from episomal and integrated viral sequences. Our results suggest that viral integration of HPV in SCCHN appears to occur nonrandomly through targeting specific chromosomal sequences prone to breakage.

Adult↗
PubMed1988

Frequent integration of hepatitis B virus DNA in noncancerous liver tissue from hepatocellular carcinoma patients.

To investigate the relationship between hepatocarcinogenesis and integration of hepatitis B virus (HBV) DNA in the cellular DNA of the liver, we studied the integration of HBV DNA in various noncancerous regions of the liver from 31 patients using Southern blot analysis. Of 13 patients without hepatocellular carcinoma (HCC), 4 had heterogeneously integrated HBV DNA. Of the latter four patients, two had chronic liver disease, and two had nonspecific histological changes. In contrast, integration of HBV DNA was found in noncancerous tissue from 11 of 18 patients with HCC. In eight patients, homogeneous integration was found in noncancerous tissue, and restriction fragments of integrated HBV DNA were different from those found in cancerous tissue. Moreover, integration of HBV DNA was found in all portions examined from the same liver, and homogeneously integrated HBV DNA showed different restriction patterns in different areas. These results suggest that integration of HBV DNA may occur in heterogeneous sites of cellular DNA before hepatocarcinogenesis. Subsequently, multi-focal clonal populations develop from these hepatocytes, especially frequently in the case of HCC. Integrated HBV DNA may play an important role in the clonal growth of hepatocytes, although the development of HCC requires additional factors.

Blotting, Southern↗
PubMed2007

Optimal integration of shape information from vision and touch.

Many tasks can be carried out by using several sources of information. For example, an object's size and shape can be judged based on visual as well as haptic cues. It has been shown recently that human observers integrate visual and haptic size information in a statistically optimal fashion, in the sense that the integrated estimate is most reliable (Ernst and Banks in Nature 415:429-433, 2002). In the present study, we tested whether this holds also for visual and haptic shape information. In previous studies virtual stimuli were used to test for optimality in integration. Virtual displays may, however, contain additional inappropriate cues that provide conflicting information and thus affect cue integration. Therefore, we studied optimal integration using real objects. Furthermore, we presented visual information via mirrors to create a spatial separation between visual and haptic cues while observers saw their hand touching the object and thus, knew that they were seeing and feeling the same object. Does this knowledge promote integration even though signals are spatially discrepant which has been shown to lead to a breakdown of integration (Gepshtein et al. in J Vis 5:1013-1023, 2005)? Consistent with the model predictions, observers weighted visual and haptic cues to shape according to their reliability: progressively more weight was given to haptics when visual information became less reliable. Moreover, the integrated visual-haptic estimate was more reliable than either unimodal estimate. These findings suggest that observers integrate visual and haptic shape information of real 3D objects. Thereby, knowledge that multisensory signals arise from the same object seems to promote integration.

Adolescent↗
PubMed1998

Nonuniformity in the linear network model of the oculomotor integrator produces approximately fractional-order dynamics and more realistic neuron behavior.

The oculomotor integrator is a network that is composed of neurons in the medial vestibular nuclei and nuclei prepositus hypoglossi in the brainstem. Those neurons act approximately as fractional integrators of various orders, converting eye velocity commands into signals that are intermediate between velocity and position. The oculomotor integrator has been modeled as a network of linear neural elements, the time constants of which are lengthened by positive feedback through reciprocal inhibition. In this model, in which each neuron reciprocally inhibits its neighbors with the same Gaussian profile, all model neurons behave as identical, first-order, low-pass filters with dynamics that do not match the variable, approximately fractional-order dynamics of the neurons that compose the actual oculomotor integrator. Fractional-order integrators can be approximated by weighted sums of first-order, low-pass filters with diverse, broadly distributed time constants. Dynamic systems analysis reveals that the model integrator indeed has many broadly distributed time constants. However, only one time constant is expressed in the model due to the uniformity of its network connections. If the model network is made nonuniform by removing the reciprocal connections to and from a small number of neurons, then many more time constants are expressed. The dynamics of the neurons in the nonuniform network model are variable, approximately fractional-order, and resemble those of the neurons that compose the actual oculomotor integrator. Completely removing the connections to and from a neuron is equivalent to eliminating it, an operation done previously to demonstrate the robustness of the integrator network model. Ironically, the resulting nonuniform network model, previously supposed to represent a pathological integrator, may in fact represent a healthy integrator containing neurons with realistically variable, approximately fractional-order dynamics.

Animals↗
PubMed2005

Numerical treatment of two-center overlap integrals.

Among the two-center integrals occurring in the molecular context, the two-center overlap integrals are numerous and difficult to evaluate to a level of high accuracy. The analytical and numerical difficulties arise mainly from the presence of the spherical Bessel integrals in the analytic expressions of these molecular integrals. Different approaches have been used to develop efficient algorithms for the numerical evaluation of the molecular integrals under consideration. These approaches are based on quadrature rules, Levin's u transform, or the epsilon-algorithm of Wynn. In the present work, we use the nonlinear D transformation of Sidi. This transformation is shown to be highly efficient in improving the convergence of highly oscillatory integrals, and it has been applied to molecular multicenter integrals, namely three-center attraction, hybrid, two-, three-, and four-center two-electron Coulomb and exchange integrals over B functions and over Slater-type functions. It is also been shown that when evaluating these molecular multicenter integrals the D transformation is more efficient compared with the methods cited above. It is now proven that the integrand occurring in the analytic expression of the two-center overlap integrals satisfies all the conditions required to apply the D transformation. A highly accurate algorithm based on this transformation is now developed. Special cases are presented and discussed for a better optimization of the algorithm. The numerical results section illustrates clearly the high efficiency of our algorithm.

Algorithms↗