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Introduction to Solid State Synthesis of Mixed Metal Oxides, Dr. Dr. Lukasz Koscielski
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Transcript of Introduction to Solid State Synthesis of Mixed Metal Oxides, Dr. Dr. Lukasz Koscielski
4th Summary- Mathematical Models for Epidemiological Studies, Dr. Mayte Cruz– Dept. of Mathematics-UPR -CayeyMath is logic, and at the end of the day no matter what people say; numbers don't lie. Epidemiological Studies
are known to be the cornerstone of disease control and incidence distribution. We began the workshop by
establishing mathematical models with the appropriate letters to indicate variables accepted in the scientific math
community. Some of these variables were β, which represented the infection rate and ∝ which meant the
proportionality in our mathematical model due to the related susceptibility and recurrent infection rates. It is
pivotal to establish the process these variables go through to help express values exponentially. The most
important part of our model is the basic reproductive number since it determines the secondary cases from
primal infection to a susceptible population, the spread of a disease will primarily depend on this variable since
the infection might grow stronger. In order to assist us for this mathematical modeling, we used bioinformatics,
we could easily do the calculations by hand one by one, yet the purpose of developed programs like the one we
used aim to make probabilities quicker. We used the Susceptible, Infected, Recovered (SIS) and Susceptible,
Exposed, Infected, Recovered (SEIR) models to understand how diseases might spread without taking into
consideration factors such as Network Connectivity (NC). This concept of NC has been one of the most pivotal
steps in modeling real world scenarios in mathematical terms , these could imply more than we think, since
hotspots may even be determined and the origin of the diseases could be established. All of these scientific
advancements could actually be what we need in order to understand how viral infections spread effectively in
order to avoid a worldwide contagion, which could occur in the future due to the present public undermining of
the situation. This workshop could actually be the cornerstone of investigations we might do in the near future
and understanding basic concepts of programming and modelling will aid us to attack problems from different
scenarios.