Medical worker helps a patient infected with Ebola in Africa. The WHO recommends mass transfusions from Ebola survivors into patients as survivor blood contains antibodies. Mathematical models developed in Canada give insight into logistics and resources needed so governments and agencies can better plan and develop policies for such an outbreak requiring mass transfusions

Medical worker helps a patient infected with Ebola in Africa. The WHO recommends mass transfusions from Ebola survivors into patients as survivor blood contains antibodies. Mathematical models developed in Canada give insight into logistics and resources needed so governments and agencies can better plan and develop policies for such an outbreak requiring mass transfusions
Photo Credit: CBC news

Mathematical model to help in disease outbreaks

Mathematics and health care; not necessarily two things one would image to go hand in hand with each other, especially in times of medical crisis such as the ebola outbreak.

But, that’s exactly what a researcher in Toronto has done. She and colleagues, have developed a mathematical model to help in preparation for exactly such medical emergencies, especially when mass transfusions are required in the absence of vaccines.

Xi Huo (PhD) is a post-doctoral fellow at Ryerson University in Toronto who led development of the model.

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Toronto researcher Xi Huo (PhD) of Ryerson University developed a mathematical model to help in planning for disease outbreaks like Ebola
Toronto researcher Xi Huo (PhD) of Ryerson University is lead author of a tem which developed a mathematical model to help in planning for disease outbreaks like Ebola requiring mass blood transfusions © Ryerson University

The 2014 Ebola outbreak is believed to have killed some 11,000 people in several West-African states. The disease can kill relatively quickly, is very easily spread, and has a very high fatality rate.

The world was caught off guard and struggled to catch up with the need created by this crisis, and develop treatment and preventative measures, as proven medications or vaccines were not readily available.

The suggested treatment was to used blood from survivors which contained antibodies, and transfuse it into patients to help their bodies fight the infection. Using data derived from that outbreak and medical reaction, what Xi Huo and her team  did was come up with a mathematical model of how to prepare for such an outbreak while improving survival rates.

She is lead author of the research published in the Journal of Theoretical Biology under the title; Treatment-donation-stockpile dynamics in Ebola convalescent blood transfusion therapy,

The mathematical modelling developed from data taken from the ebola outbreak in West Africa, may be used in a variety of other mass outbreaks of disease especially where mass blood transfusions are needed in the absence of vaccines.
The mathematical modelling developed from data taken from the ebola outbreak in West Africa, may be used in a variety of other mass outbreaks of disease especially where mass blood transfusions are needed in the absence of vaccines. © CBC NEWS

This is the first  comprehensive study of the logistics behind large-scale blood transfusion/antibody therapy during Ebola outbreaks

In the absence of vaccines, which is usually the case with any widespread medical infection, the World Health Organization is recommending that large scale transfusions take place from survivors. But that takes infrastructure, resources, and personnel.

They note that when such outbreaks of serious contagious diseases occur, whether SARS, MERS, pandemic influenza, Ebola or Zika, there is always a long lag-time before vaccines can be developed, if at all.

The antibody treatment (transfusion) does get results in cases like Ebola, SARS and MERS, but as shown by the Ebola outbreak, it needs logistical improvement. ( Blood transfusions for Zika is not yet a proven treatment)

Mortality from 70% to under 50%

“As part of this study, we used mathematical models to evaluate the blood treatment strategies employed during the 2014-2015 Ebola outbreak, and used publically available infection data and the WHO’s blood transfusion therapy guideline to inform the optimal strategies for large-scale use of this treatment,” said Huo in a Ryerson University article. “We conclude that by optimizing treatment strategy during an Ebola outbreak, the mortality rate can be reduced to under 50 per cent, a substantial improvement over the reported rate of 70 per cent.”

Patrice Gordon a nurse practitioner from Canada’s west coast province of British Columbia, shown here nursing a biaby with Ebola in Sierra Leone in 2014. Upon her return to Canada she exhibited tow symptoms, but later tested negative for the disease.
Patrice Gordon a nurse practitioner from Canada’s west coast province of British Columbia, shown here nursing a baby with Ebola in Sierra Leone in 2014. She was one of hundreds of medical staff from Canada and elsewhere who volunteered the help in West Africa. The new study worked out mathematically a number of requirements both preventative and during, that are needed for such an outbreak. © Canadian Red Cross-handout

Huo and her co-authors studied a variety of factors influencing Ebola’s disease transmission dynamics and large-scale blood transfusion treatment. This included distribution logistics, health care resources required, stockpiling of resources, record-keeping, blood storage, and communication among agencies involved and resource management.

The researchers will continue to develop additional mathematical modelling and future cost-effective studies. This will like at financial/economic guidance on large-scale Ebola blood transfusion therapy, including blood collection, screening and matching, delivery, as well as storage.

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