Mathematical biology research trends by Lachlan B. Wilson PDF

By Lachlan B. Wilson

ISBN-10: 1616683945

ISBN-13: 9781616683948

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By Lachlan B. Wilson

ISBN-10: 1616683945

ISBN-13: 9781616683948

Show description

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This is the essence of sensitivity analyses. Figure 3. The resulting computer-generated N=10 samples from the 2-dimensional parameter space as defined in Figure 2. The sampled parameter sets are random ordered and indicated by ordinal counts. 6. Sensitivity Analyses Sensitivity analysis is the study of how the uncertainty in the output of complex models can be apportioned to sources of uncertainty in the model inputs [185, 193]. It has been argued that sensitivity analyses are not required for analytical solutions where the influence of changing a parameter is explicit within the model solution [32].

The fault for the disconnect between causal models and data-analysis models lies as much (or more) on infection transmission modeling traditions as it does on the data analysis traditions of epidemiologists. The gap must be bridged. Although good data can be difficult to come by, the primary reason for not incorporating data in causal models is probably not the lack of data but an attitude of approach that considers the exercise to be a purely theoretical modeling one. However, if for example there is data on the number of new diagnoses over time, there is no need to model a variable of the number of new diagnoses – that data is already available.

The dominant tradition in infection transmission modeling pursues simple models designed to make clear the nature of nonlinear dynamics. The crowning achievement of such analyses are simple relational expressions such as R0 = β cD [9], which translates as the number of transmissions that an infected individual generates over the course of their infection, when all of their contacts are susceptible, equals the product of the contact rate of individuals, their transmission probability, and the duration of their infection.

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Mathematical biology research trends by Lachlan B. Wilson


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