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A Mathematical Model For Population Dynamics Of Antibiotic Treatment, Siyu Tian
A Mathematical Model For Population Dynamics Of Antibiotic Treatment, Siyu Tian
Mathematics Theses
The objective of the thesis is to model the behavior of the reaction between two species of bacteria and antibiotics by building an ordinary differential equation (ODE) system under a list of assumptions. With the ODE, we analyze equilibrium points and the stability of these equilibrium points to forecast the trend of each species of bacteria and antibiotics. We test the validity of the model assumptions. Based on these outcomes, we show that: 1. Both equilibrium points and eigenvalues differ in orders of magnitude. 2. Some figures which were generated using different initial values do not make any sense. 3. …
When Simulations Conflict: Problems With The External Validation Of Computer Simulations, Archie Fields Iii
When Simulations Conflict: Problems With The External Validation Of Computer Simulations, Archie Fields Iii
Philosophy Theses
I show that Eric Winsberg’s principles of model-building given in Science in the Age of Computer Simulation are insufficient to argue for the external validation of simulation data in cases in which simulation results conflict, and that laboratory experiments have an advantage over simulations because conflicting experimental results can be decided between on the basis of reproducibility. I also argue that robustness of predictions serves the same function for simulations as repeatability does for laboratory experiments in either adjudicating between conflicting results or allowing us to say that we do not have sufficient justification to validate the results. Finally, I …