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1.
Infect Dis Ther ; 2024 Apr 08.
Artículo en Inglés | MEDLINE | ID: mdl-38589763

RESUMEN

Human papillomavirus (HPV) is a common sexually transmitted virus that can cause cervical cancer and other diseases. Dynamic transmission models (DTMs) have been developed to evaluate the health and economic impacts of HPV vaccination. These models typically include many parameters, such as natural history of the disease, transmission, demographic, behavioral, and screening. To ensure the accuracy of DTM projections, it is important to parameterize them with the best available evidence. This study aimed to identify and synthesize data needed to parametrize DTMs on the natural history of HPV infection and related diseases. Parameters describing data of interest were grouped by their anatomical location (genital warts, recurrent respiratory papillomatosis, and cervical, anal, vaginal, vulvar, head and neck, and penile cancers), and natural history (progression, regression, death, cure, recurrence, detection), and were identified through a systematic literature review (SLR) and complementary targeted literature reviews (TLRs). The extracted data were then synthesized by pooling parameter values across publications, and summarized using the range of values across studies reporting each parameter and the median value from the most relevant study. Data were extracted and synthesized from 223 studies identified in the SLR and TLRs. Parameters frequently reported pertained to cervical cancer outcomes, while data for other anatomical locations were less available. The synthesis of the data provides a large volume of parameter values to inform HPV DTMs, such as annual progression rates from cervical intraepithelial neoplasia (CIN) 1 to CIN 2+ (median of highest quality estimate 0.0836), CIN 2 to CIN 3+ (0.0418), carcinoma in situ (CIS) 2 to local cancer+ (0.0396), and regional to distant cancer (0.0474). Our findings suggest that while there is a large body of evidence on cervical cancer, parameter values featured substantial heterogeneity across studies, and further studies are needed to better parametrize the non-cervical components of HPV DTMs.

2.
Hum Vaccin Immunother ; 19(2): 2258569, 2023 08.
Artículo en Inglés | MEDLINE | ID: mdl-37787054

RESUMEN

The high prevalence of human papillomavirus (HPV) infection in China suggests there would be a substantial positive health impact of widespread vaccination against HPV. We adapted a previously described dynamic transmission model of the natural history of HPV infection and related diseases to the Chinese setting to estimate the public health impact in China of 2-valent (with and without cross-protection), 4-valent, and 9-valent HPV vaccination strategies. The model predicted the incidence and mortality associated with HPV-related diseases, including cervical and noncervical cancers, genital warts, and recurrent respiratory papillomatosis (RRP), based on the various vaccination coverage rate (VCR) scenarios, over a 100-year time horizon. The public health impact of the 4 vaccination strategies was estimated in terms of cases and deaths averted compared to a scenario with no vaccination. Under the assumption of various primary and catch-up VCR scenarios, all 4 vaccination strategies reduced the incidence of cervical cancer in females and noncervical cancers in both sexes, and the 4-valent and 9-valent vaccines reduced the incidence of genital warts and RRP in both sexes. The 9-valent vaccination strategy was superior on all outcomes. The number of cervical cancer cases averted over 100 years ranged from ~ 1 million to ~ 5 million while the number of cervical cancer deaths averted was ~ 345,000 to ~ 1.9 million cases, depending on the VCR scenario. The VCR for primary vaccination was the major driver of cases averted.


Asunto(s)
Condiloma Acuminado , Infecciones por Papillomavirus , Vacunas contra Papillomavirus , Neoplasias del Cuello Uterino , Masculino , Humanos , Femenino , Neoplasias del Cuello Uterino/epidemiología , Neoplasias del Cuello Uterino/prevención & control , Infecciones por Papillomavirus/epidemiología , Infecciones por Papillomavirus/prevención & control , Infecciones por Papillomavirus/complicaciones , Salud Pública , Vacunación , Virus del Papiloma Humano , Condiloma Acuminado/epidemiología , Condiloma Acuminado/prevención & control , China/epidemiología , Análisis Costo-Beneficio
3.
J Health Econ Outcomes Res ; 9(1): 140-150, 2022.
Artículo en Inglés | MEDLINE | ID: mdl-35795155

RESUMEN

Background: The United Kingdom (UK) switched from using the 4-valent human papillomavirus (HPV) vaccine (Gardasil®) to the 9-valent vaccine (Gardasil 9®) in 2021. Objective: To estimate and compare the health and economic outcomes of 2 HPV vaccination programs in the UK targeting girls and boys aged 12-13 years from the perspective of the UK National Health Service. The 2 vaccination strategies were (1) universal vaccination 4-valent (UV4V), using the 4-valent HPV vaccine (4vHPV), and (2) universal vaccination 9-valent (UV9V), using the 9-valent HPV vaccine (9vHPV). Methods: A deterministic heterosexual compartmental disease transmission model was used to track health and economic outcomes over a 100-year time horizon. Outcomes were discounted at an annual rate of 3.5% and 1.5%. All costs were adjusted to 2020 British pounds (£). Health outcomes were measured in quality-adjusted life-years (QALYs), and the summary results were presented as incremental cost-effectiveness ratios (£/QALY gained) when comparing UV4V with UV9V. Results: Using the same vaccine coverage for both programs, the total cumulative cases of HPV-related health outcomes tracked over the 100-year horizon indicated that the relative number of cases averted (UV9V vs UV4V) ranged from 4% (anal male cancers and deaths) to 56% (cervical intraepithelial neoplasia [CIN1]). Assuming that 9vHPV cost £15.18 more than 4vHPV (a cost differential based on discounted list prices), the estimated incremental cost-effectiveness ratio was £8600/QALY gained when discounted at 3.5%, and £3300/QALY gained when discounted at 1.5%. The estimated incremental cost-effectiveness ratios from the sensitivity analyses remained <£28000/QALY over a wide range of parameter inputs and demonstrated that disease utilities, discount rate, and vaccine efficacy were the 3 most influential parameters. Discussion: Consistent with other published studies, the results from this study found that the 9vHPV vaccine prevented a substantial number of cases when compared with the 4vHPV vaccine and was highly cost-effective. Conclusions: These results demonstrate that replacing universal 4vHPV with 9vHPV can prevent a substantial additional number of HPV-related cases/deaths (in both women and men) and remain cost-effective over a range of 9vHPV price premiums.

4.
Vaccine ; 40(14): 2173-2183, 2022 03 25.
Artículo en Inglés | MEDLINE | ID: mdl-35232593

RESUMEN

Although no human papillomavirus (HPV) vaccine is indicated for single-dose administration, some observational evidence suggests that a 1-dose regimen might reduce HPV infection risk to that achieved with 2 doses. This study estimated the potential health and economic outcomes associated with switching from a 2-dose HPV vaccination program for girls and boys aged 13-14 years to an off-label 9-valent (9vHPV), 1-dose regimen, accounting for the uncertainty of the effectiveness and durability of a single dose. A dynamic HPV transmission infection and disease model was adapted to the United Kingdom and included a probabilistic sensitivity analysis using estimated distributions for duration of protection of 1-dose and degree of protection of 1 relative to 2 doses. One-way sensitivity analyses of key inputs were performed. Outcomes included additional cancer and disease cases and the difference in net monetary benefit (NMB). The 1-dose program was predicted to result in 81,738 additional HPV-related cancer cases in males and females over 100 years compared to the 2-dose program, ranging from 36,673 to 134,347 additional cases (2.5% and 97.5% quantiles, respectively), and had a 7.8% probability of being cost-effective at the £20,000/quality-adjusted life years willingness-to-pay (WTP) threshold. In one-way sensitivity analyses, the number of additional cancer cases was sensitive to the median of the duration of protection distribution and coverage rates. The differences in NMBs were sensitive to the median of the duration of protection distribution, dose price and discount rate, but not coverage variations. Across sensitivity analyses, the probability of 1 dose being cost-effective vs 2 doses was < 50% at the standard WTP threshold. Adoption of a 1-dose 9vHPV vaccination program resulted in more vaccine-preventable HPV-related cancer and disease cases in males and females, introduced substantial uncertainty in health and economic outcomes, and had a low probability of being cost-effective compared to the 2-dose program.


Asunto(s)
Alphapapillomavirus , Infecciones por Papillomavirus , Vacunas contra Papillomavirus , Neoplasias del Cuello Uterino , Análisis Costo-Beneficio , Femenino , Humanos , Masculino , Infecciones por Papillomavirus/epidemiología , Infecciones por Papillomavirus/prevención & control , Años de Vida Ajustados por Calidad de Vida , Reino Unido/epidemiología , Neoplasias del Cuello Uterino/epidemiología , Neoplasias del Cuello Uterino/prevención & control , Vacunación
6.
Vaccine ; 39(20): 2731-2735, 2021 05 12.
Artículo en Inglés | MEDLINE | ID: mdl-33875269

RESUMEN

The coronavirus disease 2019 (COVID-19) pandemic has significantly affected utilization of preventative health care, including vaccines. We aimed to assess HPV vaccination rates during the pandemic, and conduct a simulation model-based analysis to estimate the impact of current coverage and future pandemic recovery scenarios on disease outcomes. The model population included females and males of all ages in the US. The model compares pre-COVID vaccine uptake to 3 reduced coverage scenarios with varying recovery speed. Vaccine coverage was obtained from Truven Marketscan™. Substantially reduced coverage between March-August 2020 was observed compared to 2018-2019. The model predicted that 130,853 to 213,926 additional cases of genital warts; 22,503 to 48,157 cases of CIN1; 48,682 to 110,192 cases of CIN2/3; and 2,882 to 6,487 cases of cervical cancer will occur over the next 100 years, compared to status quo. Providers should plan efforts to recover HPV vaccination and minimize potential long-term consequences.


Asunto(s)
Alphapapillomavirus , COVID-19 , Infecciones por Papillomavirus , Vacunas contra Papillomavirus , Neoplasias del Cuello Uterino , Vacunas contra la COVID-19 , Femenino , Humanos , Masculino , Infecciones por Papillomavirus/epidemiología , Infecciones por Papillomavirus/prevención & control , SARS-CoV-2 , Estados Unidos/epidemiología , Neoplasias del Cuello Uterino/epidemiología , Neoplasias del Cuello Uterino/prevención & control , Vacunación , Cobertura de Vacunación
7.
Hum Vaccin Immunother ; 17(7): 1943-1951, 2021 07 03.
Artículo en Inglés | MEDLINE | ID: mdl-33427033

RESUMEN

The Advisory Committee on Immunization Practices (ACIP) recommended catch-up 9-valent Human Papillomavirus (HPV) vaccination through age 26 years, and shared clinical decision-making for adults aged 27-45 years, compared with catch-up through age 26 years and 21 years for females and males, respectively (status quo; pre-June-2019 recommendations). This study assessed the public health impact and cost-effectiveness of expanded catch-up vaccination through age 45 years (expanded catch-up) compared with status quo. We used an HPV dynamic transmission infection and disease model to assess disease outcomes and incremental cost-effectiveness ratio (ICER) of expanded catch-up compared with status quo. Costs (2018 USD), calculated from a healthcare sector perspective, and quality-adjusted life years (QALY) were discounted at 3% annually. Historical vaccination coverage was estimated using NIS-TEEN survey data (NHANES data for sensitivity analysis). Alternative scenario analyses included restricting upper age of expanded catch-up through 26 years (June-2019 ACIP recommendation), 29 years, and further 5-year increments. Our results show expanded catch-up vaccination would prevent additional 37,856 cancers, 314,468 cervical intraepithelial neoplasia-2/3s, 1,743,461 genital warts, and 10,698 deaths compared with status quo over 100 years at cost of $141,000/QALY. With NHANES coverage, the ICER was $96,000/QALY. The June-2019 ACIP recommendation also provided public health benefits with an ICER of $117,000/QALY, compared with status quo. The ICER for expanded vaccination through age 34 years was $107,000/QALY. Expanding catch-up vaccination program through age 45 years-old in the US is expected to provide public health benefits, and cost-effectiveness improves with expanding catch-up through age 34.


Asunto(s)
Infecciones por Papillomavirus , Vacunas contra Papillomavirus , Neoplasias del Cuello Uterino , Adolescente , Adulto , Análisis Costo-Beneficio , Femenino , Humanos , Masculino , Persona de Mediana Edad , Encuestas Nutricionales , Infecciones por Papillomavirus/prevención & control , Salud Pública , Años de Vida Ajustados por Calidad de Vida , Estados Unidos , Neoplasias del Cuello Uterino/prevención & control , Vacunación
8.
Vaccine ; 39(2): 438-446, 2021 01 08.
Artículo en Inglés | MEDLINE | ID: mdl-33261895

RESUMEN

OBJECTIVES: In France, 9-valent HPV vaccination is recommended routinely for 11-14-years-old girls and as catch-up for 15-19-years-old girls. Recently, recommendation for gender-neutral vaccination (GNV) has been approved. The objectives of the study were to assess the public health impact and cost-effectiveness of a 9-valent GNV compared with girls-only vaccination program (GOV). METHODS: A published HPV disease transmission dynamic model accounting for herd protection effects with a 100-year time horizon was adapted and calibrated to French data. Epidemiological and economic outcomes included disease cases averted and quality-adjusted life years (QALY). Costs and incremental cost-effectiveness ratio (ICER) were measured in 2018 Euros (€). A coverage rate of 26.2% among girls and boys was assumed for the GNV program based on the current female coverage rate in France. The base case included genital warts, cervical, vulvar, vaginal, and anal cancers. Scenario analyses included all HPV-related diseases and considered higher vaccination coverage rate (60%). Deterministic sensitivity analyses on key inputs were performed. RESULTS: Over 100 years, GNV resulted in an additional reduction of 9,519 and 3,037 cervical cancer cases and deaths; 6,901 and 1,166 additional anal cancer cases and deaths; and a reduction of additional 1,284,077 genital warts compared with current GOV and an ICER of 24,763€/QALY. When including all HPV-related diseases, the ICER was 15,184€/QALY. At a higher coverage rate (60%), GNV would prevent 17,430 and 4,334 additional anogenital cancer cases and deaths and over two million genital warts compared with GOV with an ICER of 40,401€/QALY. Results were sensitive to a higher discount rate (6% versus 4%) and a shorter duration of protection (20 years versus lifetime). CONCLUSIONS: In France, GNV has a significant impact in terms of public health benefits and may be considered cost-effective compared with GOV at low and high coverage rates.


Asunto(s)
Infecciones por Papillomavirus , Vacunas contra Papillomavirus , Neoplasias del Cuello Uterino , Adolescente , Adulto , Niño , Análisis Costo-Beneficio , Femenino , Francia/epidemiología , Humanos , Masculino , Infecciones por Papillomavirus/epidemiología , Infecciones por Papillomavirus/prevención & control , Salud Pública , Años de Vida Ajustados por Calidad de Vida , Neoplasias del Cuello Uterino/epidemiología , Neoplasias del Cuello Uterino/prevención & control , Vacunación , Adulto Joven
9.
Hum Vaccin Immunother ; 16(4): 886-894, 2020 04 02.
Artículo en Inglés | MEDLINE | ID: mdl-31567045

RESUMEN

A number of live-attenuated varicella vaccines are produced globally that provide protection against the varicella zoster virus. In Mexico, varicella vaccination is not included in the national immunization program and is recommended for use only in high-risk subgroups. We developed a budget impact model to estimate the impact of universal childhood immunization against varicella on the national payer system in Mexico. A scenario of no varicella vaccination was compared to scenarios with vaccination with a single dose at 13 months of age, in alignment with the existing program of immunization with the measles-mumps-rubella vaccine. Nine different vaccination scenarios were envisioned, differing by vaccine type and by coverage. Varicella cases and treatment costs of each scenario were computed in a dynamic transmission model of varicella epidemiology, calibrated to the population of Mexico. Unit costs were based on Mexico sources or were from the literature. The results indicated that each of the three vaccine types increased vaccine acquisition and administration expenditures but produced overall cost savings in each of the first 10 years of the program, due to fewer cases and reduced varicella treatment costs. A highly effective vaccine at 95% coverage produced the greatest cost savings.


Asunto(s)
Varicela , Varicela/epidemiología , Varicela/prevención & control , Vacuna contra la Varicela , Niño , Humanos , Lactante , Vacuna contra el Sarampión-Parotiditis-Rubéola , México/epidemiología , Vacunación , Vacunas Combinadas
10.
Clin Infect Dis ; 70(6): 995-1002, 2020 03 03.
Artículo en Inglés | MEDLINE | ID: mdl-31147680

RESUMEN

BACKGROUND: Universal childhood vaccination against varicella began in the United States as a 1-dose schedule in 1996, changing to a 2-dose schedule in 2006. The exogenous boosting hypothesis, which postulates that reexposure to circulating wild-type varicella delays the onset of herpes zoster, predicts a transient increase in the incidence of herpes zoster, peaking in adults 15-35 years after the start of varicella vaccination. METHODS: This was a retrospective study of administrative claims data from the MarketScan Commercial and Medicare databases between 1991-2016. Outcome measures were the incidences of herpes zoster per 100 000 person-years, by calendar year and age category, and the annual rates of change in herpes zoster by age category, in an interrupted time series regression analysis, for the periods of 1991-1995 (prevaccine), 1996-2006 (1-dose vaccination period), and 2007-2016 (2-dose vaccination period). RESULTS: The annual incidences of herpes zoster increased throughout the period of 1991-2012 in all adult age categories, with a plateau in 2013-2016 that was most evident in the ≥65 age group. In 1991-1995, the herpes zoster incidences increased at annual rates of 4-6% in age categories 18-34, 35-44, 45-54, and 55-64 years. In the same age categories during 1996-2006 and 2007-2016, the herpes zoster incidences increased at annual rates of 1-5%. CONCLUSIONS: Although the annual incidence of herpes zoster in adults has continued to increase, the rates of change decreased during both the 1- and 2-dose vaccination periods. The hypothesized increase in herpes zoster predicted from modelling of the exogenous boosting hypothesis was not observed.


Asunto(s)
Varicela , Herpes Zóster , Adulto , Anciano , Varicela/epidemiología , Varicela/prevención & control , Vacuna contra la Varicela , Niño , Herpes Zóster/epidemiología , Herpes Zóster/prevención & control , Humanos , Incidencia , Medicare , Estudios Retrospectivos , Estados Unidos/epidemiología , Vacunación
12.
PLoS One ; 14(8): e0220921, 2019.
Artículo en Inglés | MEDLINE | ID: mdl-31408505

RESUMEN

BACKGROUND: In 2013, Turkey introduced one-dose universal varicella vaccination (UVV) at 12 months of age. Inclusion of a second dose is being considered. METHODS: We developed a dynamic transmission model to evaluate three vaccination strategies: single dose at 12 months (1D) or second dose at either 18 months (2D-short) or 6 years of age (2D-long). Costs and utilization were age-stratified and separated into inpatient and outpatient costs for varicella and herpes zoster (HZ). We ran the model including and excluding HZ-related costs and impact of exogenous boosting. RESULTS: Five years post-introduction of UVV (1D), the projected varicella incidence rate decreases from 1,674 cases pre-vaccine to 80 cases/100,000 person-years. By 25 years, varicella incidence equilibrates at 39, 12, and 16 cases/100,000 person-years for 1D, 2D-short, and 2D-long strategies, respectively, using a highly effective vaccine. With or without including exogenous boosting impact and/or HZ-related costs and health benefits, the 1D strategy is least costly, but 2-dose strategies are cost-effective considering a willingness-to-pay threshold equivalent to the gross domestic product. The model predicted a modest increase in HZ burden during the first 20-30 years, after which time HZ incidence equilibrates at a lower rate than pre-vaccine. CONCLUSIONS: Our findings support adding a second varicella vaccine dose in Turkey, as doing so is highly cost-effective across a wide range of assumptions regarding the burden associated with varicella and HZ disease.


Asunto(s)
Vacuna contra la Varicela , Varicela , Herpes Zóster , Herpesvirus Humano 3 , Modelos Biológicos , Modelos Económicos , Vacunación , Adolescente , Adulto , Anciano , Varicela/economía , Varicela/epidemiología , Varicela/prevención & control , Varicela/transmisión , Vacuna contra la Varicela/administración & dosificación , Vacuna contra la Varicela/economía , Niño , Preescolar , Costos y Análisis de Costo , Femenino , Herpes Zóster/economía , Herpes Zóster/epidemiología , Herpes Zóster/prevención & control , Herpes Zóster/transmisión , Humanos , Lactante , Recién Nacido , Masculino , Persona de Mediana Edad , Turquía/epidemiología
13.
BMC Infect Dis ; 18(1): 119, 2018 03 07.
Artículo en Inglés | MEDLINE | ID: mdl-29514609

RESUMEN

BACKGROUND: As the socioeconomic conditions in Jordan have improved over recent decades the disease and economic burden of Hepatitis A has increased. The purpose of this study is to assess the potential health and economic impact of a two-dose hepatitis A vaccine program covering one-year old children in Jordan. METHODS: We adapted an age-structured population model of hepatitis A transmission dynamics to project the epidemiologic and economic impact of vaccinating one-year old children for 50 years in Jordan. The epidemiologic model was calibrated using local data on hepatitis A in Jordan. These data included seroprevalence and incidence data from the Jordan Ministry of Health as well as hospitalization data from King Abdullah University Hospital in Irbid, Jordan. We assumed 90% of all children would be vaccinated with the two-dose regimen by two years of age. The economic evaluation adopted a societal perspective and measured benefits using the quality-adjusted life-year (QALY). RESULTS: The modeled vaccination program reduced the incidence of hepatitis A in Jordan by 99%, 50 years after its introduction. The model projected 4.26 million avoided hepatitis A infections, 1.42 million outpatient visits, 22,475 hospitalizations, 508 fulminant cases, 95 liver transplants, and 76 deaths over a 50 year time horizon. In addition, we found, over a 50 year time horizon, the vaccination program would gain 37,502 QALYs and save over $42.6 million in total costs. The vaccination program became cost-saving within 6 years of its introduction and was highly cost-effective during the first 5 years. CONCLUSION: A vaccination program covering one-year old children is projected to be a cost-saving intervention that will significantly reduce the public health and economic burden of hepatitis A in Jordan.


Asunto(s)
Análisis Costo-Beneficio , Vacunas contra la Hepatitis A/inmunología , Hepatitis A/prevención & control , Modelos Teóricos , Salud Pública , Vacunación/economía , Hepatitis A/economía , Humanos , Programas de Inmunización/economía , Lactante , Jordania , Salud Pública/economía , Años de Vida Ajustados por Calidad de Vida
14.
Toxicon ; 142: 42-44, 2018 Feb.
Artículo en Inglés | MEDLINE | ID: mdl-29287978

RESUMEN

Algal blooms, including those containing cyanobacteria, are of environmental concern due to the toxicities of some of the constituent microorganisms. This compromises the safety of freshwater causing illness in livestock and humans. We present historical accounts of algal blooms occurring during the 18th and 19th centuries indicating that the advent of intensive farming in the 17th century provided nutrients for promoting harmful algal blooms.


Asunto(s)
Cianobacterias/crecimiento & desarrollo , Floraciones de Algas Nocivas , Contaminantes del Agua/historia , Ecosistema , Europa (Continente) , Historia del Siglo XVIII , Historia del Siglo XIX
15.
Exp Clin Transplant ; 12(3): 277-8, 2014 Jun.
Artículo en Inglés | MEDLINE | ID: mdl-24568137

RESUMEN

Diaphragmatic hernias are a known complication of explanting a left ventricular assist device. The increasing use of left ventricular assist devices has resulted in an increased risk of this complication. We present the case of a patient who presented with diaphragmatic hernias on routine follow-up after a heart transplant. A left thoracotomy was performed to expose and reduce the hernia using a bovine pericardial patch to repair the defect. This biomaterial represents a viable alternative to traditional GORE-TEX patches with the probability of decreased infectious complications.


Asunto(s)
Insuficiencia Cardíaca/cirugía , Trasplante de Corazón , Corazón Auxiliar/efectos adversos , Hernia Diafragmática/cirugía , Herniorrafia/métodos , Pericardio/trasplante , Procedimientos de Cirugía Plástica/métodos , Insuficiencia Cardíaca/diagnóstico , Insuficiencia Cardíaca/fisiopatología , Hernia Diafragmática/diagnóstico , Hernia Diafragmática/etiología , Xenoinjertos , Humanos , Masculino , Persona de Mediana Edad , Reoperación , Toracotomía , Tomografía Computarizada por Rayos X , Resultado del Tratamiento , Función Ventricular Izquierda , Listas de Espera
16.
Chaos ; 3(4): 475-485, 1993 Oct.
Artículo en Inglés | MEDLINE | ID: mdl-12780053

RESUMEN

We investigate classical scattering of particles by a double-well potential. Irregularity in the scattering functions, such as scattering angle and escape time, appears when the collision energy is lowered below a threshold value. This threshold is closely related to the appearance of periodic orbits with energies above the potential maxima. We study the scattering as a function of the energy and impact parameter. In this initial parameter space the scattering functions consist of regular regions interlaced with chaotic rivers. A symbolic dynamics has been developed to organize these structures and used to reveal their scaling properties.

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