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  1. Article ; Online: Modelling the impact of delaying vaccination against SARS-CoV-2 assuming unlimited vaccine supply

    Marcos Amaku / Dimas Tadeu Covas / Francisco Antonio Bezerra Coutinho / Raymundo Soares Azevedo / Eduardo Massad

    Theoretical Biology and Medical Modelling, Vol 18, Iss 1, Pp 1-

    2021  Volume 11

    Abstract: Abstract Background At the moment we have more than 177 million cases and 3.8 million deaths (as of June 2021) around the world and vaccination represents the only hope to control the pandemic. Imperfections in planning vaccine acquisition and ... ...

    Abstract Abstract Background At the moment we have more than 177 million cases and 3.8 million deaths (as of June 2021) around the world and vaccination represents the only hope to control the pandemic. Imperfections in planning vaccine acquisition and difficulties in implementing distribution among the population, however, have hampered the control of the virus so far. Methods We propose a new mathematical model to estimate the impact of vaccination delay against the 2019 coronavirus disease (COVID-19) on the number of cases and deaths due to the disease in Brazil. We apply the model to Brazil as a whole and to the State of Sao Paulo, the most affected by COVID-19 in Brazil. We simulated the model for the populations of the State of Sao Paulo and Brazil as a whole, varying the scenarios related to vaccine efficacy and compliance from the populations. Results The model projects that, in the absence of vaccination, almost 170 thousand deaths and more than 350 thousand deaths will occur by the end of 2021 for Sao Paulo and Brazil, respectively. If in contrast, Sao Paulo and Brazil had enough vaccine supply and so started a vaccination campaign in January with the maximum vaccination rate, compliance and efficacy, they could have averted more than 112 thousand deaths and 127 thousand deaths, respectively. In addition, for each month of delay the number of deaths increases monotonically in a logarithmic fashion, for both the State of Sao Paulo and Brazil as a whole. Conclusions Our model shows that the current delay in the vaccination schedules that is observed in many countries has serious consequences in terms of mortality by the disease and should serve as an alert to health authorities to speed the process up such that the highest number of people to be immunized is reached in the shortest period of time.
    Keywords COVID-19 ; SARS-CoV-2 ; Mathematical Models ; Vaccines ; Computer applications to medicine. Medical informatics ; R858-859.7 ; Biology (General) ; QH301-705.5
    Language English
    Publishing date 2021-07-01T00:00:00Z
    Publisher BMC
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  2. Article ; Online: Modelling the impact of contact tracing of symptomatic individuals on the COVID-19 epidemic

    Marcos Amaku / Dimas Tadeu Covas / Francisco Antonio Bezerra Coutinho / Raymundo Soares Azevedo / Eduardo Massad

    Clinics, Vol

    2021  Volume 76

    Abstract: OBJECTIVES: With the declining numbers of coronavirus disease 2019 (COVID-19) cases in the state of São Paulo, Brazil, social distancing measures have gradually been lifted. However, the risk of a surge in the number of cases cannot be overlooked. Even ... ...

    Abstract OBJECTIVES: With the declining numbers of coronavirus disease 2019 (COVID-19) cases in the state of São Paulo, Brazil, social distancing measures have gradually been lifted. However, the risk of a surge in the number of cases cannot be overlooked. Even with the adoption of nonpharmaceutical interventions, such as restrictions on mass gatherings, wearing of masks, and complete or partial closure of schools, other public health measures may help control the epidemic. We aimed to evaluate the impact of the contact tracing of symptomatic individuals on the COVID-19 epidemic regardless of the use of diagnostic testing. METHODS: We developed a mathematical model that includes isolation of symptomatic individuals and tracing of contacts to assess the effects of the contact tracing of symptomatic individuals on the COVID-19 epidemic in the state of São Paulo. RESULTS: For a selection efficacy (proportion of isolated contacts who are infected) of 80%, cases and deaths may be reduced by 80% after 60 days when 5000 symptomatic individuals are isolated per day, each of them together with 10 contacts. On the other hand, for a selection efficacy of 20%, the number of cases and deaths may be reduced by approximately 40% and 50%, respectively, compared with the scenario in which no contact-tracing strategy is implemented. CONCLUSION: Contact tracing of symptomatic individuals may potentially be an alternative strategy when the number of diagnostic tests available is not sufficient for massive testing.
    Keywords COVID-19 ; SARS-CoV-2 ; Contact Tracing ; Mathematical Model ; Medicine (General) ; R5-920
    Subject code 612
    Language English
    Publishing date 2021-03-01T00:00:00Z
    Publisher Elsevier España
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  3. Article ; Online: A Note on the Risk of Infections Invading Unaffected Regions

    Marcos Amaku / Francisco Antonio Bezerra Coutinho / Margaret Armstrong / Eduardo Massad

    Computational and Mathematical Methods in Medicine, Vol

    2018  Volume 2018

    Abstract: We present two probabilistic models to estimate the risk of introducing infectious diseases into previously unaffected countries/regions by infective travellers. We analyse two distinct situations, one dealing with a directly transmitted infection ( ... ...

    Abstract We present two probabilistic models to estimate the risk of introducing infectious diseases into previously unaffected countries/regions by infective travellers. We analyse two distinct situations, one dealing with a directly transmitted infection (measles in Italy in 2017) and one dealing with a vector-borne infection (Zika virus in Rio de Janeiro, which may happen in the future). To calculate the risk in the first scenario, we used a simple, nonhomogeneous birth process. The second model proposed in this paper provides a way to calculate the probability that local mosquitoes become infected by the arrival of a single infective traveller during his/her infectiousness period. The result of the risk of measles invasion of Italy was of 93% and the result of the risk of Zika virus invasion of Rio de Janeiro was of 22%.
    Keywords Computer applications to medicine. Medical informatics ; R858-859.7
    Language English
    Publishing date 2018-01-01T00:00:00Z
    Publisher Hindawi Limited
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  4. Article ; Online: Vectorial capacity, basic reproduction number, force of infection and all that

    Eduardo Massad / Francisco Antonio Bezerra Coutinho

    Memórias do Instituto Oswaldo Cruz., Vol 107, Iss 4, Pp 564-

    formal notation to complete and adjust their classical concepts and equations

    2012  Volume 567

    Abstract: A dimensional analysis of the classical equations related to the dynamics of vector-borne infections is presented. It is provided a formal notation to complete the expressions for the Ross' Threshold Theorem, the Macdonald's basic reproduction "rate" and ...

    Abstract A dimensional analysis of the classical equations related to the dynamics of vector-borne infections is presented. It is provided a formal notation to complete the expressions for the Ross' Threshold Theorem, the Macdonald's basic reproduction "rate" and sporozoite "rate", Garret-Jones' vectorial capacity and Dietz-Molineaux-Thomas' force of infection. The analysis was intended to provide a formal notation that complete the classical equations proposed by these authors.
    Keywords vector-borne infections ; basic reproduction rate ; sporozoite rate ; vectorial capacity ; force of infection ; dimensional analysis ; Arctic medicine. Tropical medicine ; RC955-962 ; Microbiology ; QR1-502
    Language English
    Publishing date 2012-06-01T00:00:00Z
    Publisher Instituto Oswaldo Cruz, Ministério da Saúde
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  5. Article ; Online: Estimating the prevalence of infectious diseases from under-reported age-dependent compulsorily notification databases

    Marcos Amaku / Marcelo Nascimento Burattini / Eleazar Chaib / Francisco Antonio Bezerra Coutinho / David Greenhalgh / Luis Fernandez Lopez / Eduardo Massad

    Theoretical Biology and Medical Modelling, Vol 14, Iss 1, Pp 1-

    2017  Volume 18

    Abstract: Abstract Background National or local laws, norms or regulations (sometimes and in some countries) require medical providers to report notifiable diseases to public health authorities. Reporting, however, is almost always incomplete. This is due to a ... ...

    Abstract Abstract Background National or local laws, norms or regulations (sometimes and in some countries) require medical providers to report notifiable diseases to public health authorities. Reporting, however, is almost always incomplete. This is due to a variety of reasons, ranging from not recognizing the diseased to failures in the technical or administrative steps leading to the final official register in the disease notification system. The reported fraction varies from 9 to 99% and is strongly associated with the disease being reported. Methods In this paper we propose a method to approximately estimate the full prevalence (and any other variable or parameter related to transmission intensity) of infectious diseases. The model assumes incomplete notification of incidence and allows the estimation of the non-notified number of infections and it is illustrated by the case of hepatitis C in Brazil. The method has the advantage that it can be corrected iteratively by comparing its findings with empirical results. Results The application of the model for the case of hepatitis C in Brazil resulted in a prevalence of notified cases that varied between 163,902 and 169,382 cases; a prevalence of non-notified cases that varied between 1,433,638 and 1,446,771; and a total prevalence of infections that varied between 1,597,540 and 1,616,153 cases. Conclusions We conclude that the model proposed can be useful for estimation of the actual magnitude of endemic states of infectious diseases, particularly for those where the number of notified cases is only the tip of the iceberg. In addition, the method can be applied to other situations, such as the well-known underreported incidence of criminality (for example rape), among others.
    Keywords Hepatitis C ; Mathematical models ; Notifications system incidence ; Prevalence ; Computer applications to medicine. Medical informatics ; R858-859.7 ; Biology (General) ; QH301-705.5
    Language English
    Publishing date 2017-12-01T00:00:00Z
    Publisher BMC
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  6. Article ; Online: Maximum Equilibrium Prevalence of Mosquito-Borne Microparasite Infections in Humans

    Marcos Amaku / Marcelo Nascimento Burattini / Francisco Antonio Bezerra Coutinho / Luis Fernandez Lopez / Eduardo Massad

    Computational and Mathematical Methods in Medicine, Vol

    2013  Volume 2013

    Abstract: To determine the maximum equilibrium prevalence of mosquito-borne microparasitic infections, this paper proposes a general model for vector-borne infections which is flexible enough to comprise the dynamics of a great number of the known diseases ... ...

    Abstract To determine the maximum equilibrium prevalence of mosquito-borne microparasitic infections, this paper proposes a general model for vector-borne infections which is flexible enough to comprise the dynamics of a great number of the known diseases transmitted by arthropods. From equilibrium analysis, we determined the number of infected vectors as an explicit function of the model’s parameters and the prevalence of infection in the hosts. From the analysis, it is also possible to derive the basic reproduction number and the equilibrium force of infection as a function of those parameters and variables. From the force of infection, we were able to conclude that, depending on the disease’s structure and the model’s parameters, there is a maximum value of equilibrium prevalence for each of the mosquito-borne microparasitic infections. The analysis is exemplified by the cases of malaria and dengue fever. With the values of the parameters chosen to illustrate those calculations, the maximum equilibrium prevalence found was 31% and 0.02% for malaria and dengue, respectively. The equilibrium analysis demonstrated that there is a maximum prevalence for the mosquito-borne microparasitic infections.
    Keywords Computer applications to medicine. Medical informatics ; R858-859.7
    Language English
    Publishing date 2013-01-01T00:00:00Z
    Publisher Hindawi Limited
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  7. Article ; Online: Theoretical impact of insecticide-impregnated school uniforms on dengue incidence in Thai children

    Eduardo Massad / Marcos Amaku / Francisco Antonio Bezerra Coutinho / Pattamaporn Kittayapong / Annelies Wilder-Smith

    Global Health Action, Vol 6, Iss 0, Pp 1-

    2013  Volume 6

    Abstract: Background: Children carry the main burden of morbidity and mortality caused by dengue. Children spend a considerable amount of their day at school; hence strategies that reduce human–mosquito contact to protect against the day-biting habits of Aedes ... ...

    Abstract Background: Children carry the main burden of morbidity and mortality caused by dengue. Children spend a considerable amount of their day at school; hence strategies that reduce human–mosquito contact to protect against the day-biting habits of Aedes mosquitoes at schools, such as insecticide-impregnated uniforms, could be an effective prevention strategy. Methodology: We used mathematical models to calculate the risk of dengue infection based on force of infection taking into account the estimated proportion of mosquito bites that occur in school and the proportion of school time that children wear the impregnated uniforms. Principal findings: The use of insecticide-impregnated uniforms has efficacy varying from around 6% in the most pessimistic estimations, to 55% in the most optimistic scenarios simulated. Conclusions: Reducing contact between mosquito bites and human hosts via insecticide-treated uniforms during school time is theoretically effective in reducing dengue incidence and may be a valuable additional tool for dengue control in school-aged children. The efficacy of this strategy, however, is dependent on the compliance of the target population in terms of proper and consistent wearing of uniforms and, perhaps more importantly, the proportion of bites inflicted by the Aedes population during school time.
    Keywords dengue ; school children ; impregnated clothes ; insecticide-treated uniforms ; force of infection ; mathematical models ; Thailand ; Public aspects of medicine ; RA1-1270
    Subject code 370
    Language English
    Publishing date 2013-03-01T00:00:00Z
    Publisher Taylor & Francis Group
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  8. Article ; Online: Estimating the probability of dengue virus introduction and secondary autochthonous cases in Europe

    Eduardo Massad / Marcos Amaku / Francisco Antonio Bezerra Coutinho / Claudio José Struchiner / Marcelo Nascimento Burattini / Kamran Khan / Jing Liu-Helmersson / Joacim Rocklöv / Moritz U. G. Kraemer / Annelies Wilder-Smith

    Scientific Reports, Vol 8, Iss 1, Pp 1-

    2018  Volume 12

    Abstract: Abstract Given the speed of air travel, diseases even with a short viremia such as dengue can be easily exported to dengue naïve areas within 24 hours. We set out to estimate the risk of dengue virus introductions via travelers into Europe and number of ... ...

    Abstract Abstract Given the speed of air travel, diseases even with a short viremia such as dengue can be easily exported to dengue naïve areas within 24 hours. We set out to estimate the risk of dengue virus introductions via travelers into Europe and number of secondary autochthonous cases as a result of the introduction. We applied mathematical modeling to estimate the number of dengue-viremic air passengers from 16 dengue-endemic countries to 27 European countries, taking into account the incidence of dengue in the exporting countries, travel volume and the probability of being viremic at the time of travel. Our models estimate a range from zero to 167 air passengers who are dengue-viremic at the time of travel from dengue endemic countries to each of the 27 receiving countries in one year. Germany receives the highest number of imported dengue-viremic air passengers followed by France and the United Kingdom. Our findings estimate 10 autochthonous secondary asymptomatic and symptomatic dengue infections, caused by the expected 124 infected travelers who arrived in Italy in 2012. The risk of onward transmission in Europe is reassuringly low, except where Aedes aegypti is present.
    Keywords Medicine ; R ; Science ; Q
    Subject code 380
    Language English
    Publishing date 2018-03-01T00:00:00Z
    Publisher Nature Publishing Group
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  9. Article ; Online: Risk of symptomatic dengue for foreign visitors to the 2014 FIFA World Cup in Brazil

    Eduardo Massad / Annelies Wilder-Smith / Raphael Ximenes / Marcos Amaku / Luis Fernandez Lopez / Francisco Antonio Bezerra Coutinho / Giovanini Evelim Coelho / Jarbas Barbosa da Silva Jr / Claudio José Struchiner / Marcelo Nascimento Burattini

    Memórias do Instituto Oswaldo Cruz., Vol 109, Iss 3, Pp 394-

    2014  Volume 397

    Abstract: Brazil will host the FIFA World Cup™, the biggest single-event competition in the world, from June 12-July 13 2014 in 12 cities. This event will draw an estimated 600,000 international visitors. Brazil is endemic for dengue. Hence, attendees of the 2014 ... ...

    Abstract Brazil will host the FIFA World Cup™, the biggest single-event competition in the world, from June 12-July 13 2014 in 12 cities. This event will draw an estimated 600,000 international visitors. Brazil is endemic for dengue. Hence, attendees of the 2014 event are theoretically at risk for dengue. We calculated the risk of dengue acquisition to non-immune international travellers to Brazil, depending on the football match schedules, considering locations and dates of such matches for June and July 2014. We estimated the average per-capita risk and expected number of dengue cases for each host-city and each game schedule chosen based on reported dengue cases to the Brazilian Ministry of Health for the period between 2010-2013. On the average, the expected number of cases among the 600,000 foreigner tourists during the World Cup is 33, varying from 3-59. Such risk estimates will not only benefit individual travellers for adequate pre-travel preparations, but also provide valuable information for public health professionals and policy makers worldwide. Furthermore, estimates of dengue cases in international travellers during the World Cup can help to anticipate the theoretical risk for exportation of dengue into currently non-infected areas.
    Keywords dengue ; risk ; foreign travellers ; probabilistic ; modelling ; World Cup ; Arctic medicine. Tropical medicine ; RC955-962 ; Microbiology ; QR1-502
    Subject code 910
    Language English
    Publishing date 2014-06-01T00:00:00Z
    Publisher Instituto Oswaldo Cruz, Ministério da Saúde
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  10. Article ; Online: Risk of symptomatic dengue for foreign visitors to the 2014 FIFA World Cup in Brazil

    Eduardo Massad / Annelies Wilder-Smith / Raphael Ximenes / Marcos Amaku / Luis Fernandez Lopez / Francisco Antonio Bezerra Coutinho / Giovanini Evelim Coelho / Jarbas Barbosa da Silva Jr / Claudio José Struchiner / Marcelo Nascimento Burattini

    Memórias do Instituto Oswaldo Cruz., Vol 109, Iss 3, Pp 394-

    2014  Volume 397

    Abstract: Brazil will host the FIFA World Cup™, the biggest single-event competition in the world, from June 12-July 13 2014 in 12 cities. This event will draw an estimated 600,000 international visitors. Brazil is endemic for dengue. Hence, attendees of the 2014 ... ...

    Abstract Brazil will host the FIFA World Cup™, the biggest single-event competition in the world, from June 12-July 13 2014 in 12 cities. This event will draw an estimated 600,000 international visitors. Brazil is endemic for dengue. Hence, attendees of the 2014 event are theoretically at risk for dengue. We calculated the risk of dengue acquisition to non-immune international travellers to Brazil, depending on the football match schedules, considering locations and dates of such matches for June and July 2014. We estimated the average per-capita risk and expected number of dengue cases for each host-city and each game schedule chosen based on reported dengue cases to the Brazilian Ministry of Health for the period between 2010-2013. On the average, the expected number of cases among the 600,000 foreigner tourists during the World Cup is 33, varying from 3-59. Such risk estimates will not only benefit individual travellers for adequate pre-travel preparations, but also provide valuable information for public health professionals and policy makers worldwide. Furthermore, estimates of dengue cases in international travellers during the World Cup can help to anticipate the theoretical risk for exportation of dengue into currently non-infected areas.
    Keywords dengue ; risk ; foreign travellers ; probabilistic ; modelling ; World Cup ; Arctic medicine. Tropical medicine ; RC955-962 ; Microbiology ; QR1-502
    Subject code 910
    Language English
    Publishing date 2014-06-01T00:00:00Z
    Publisher Instituto Oswaldo Cruz, Ministério da Saúde
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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