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These difficulties prompted the next step in the evolution of mathematical models, which is the use of Gompertzian or damped exponential kinetics, in which growth is approximately exponential in its early stages before gradually slowing and asymptotically approaching zero.
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Her research interests include the development of mathematical models to better understand patterns of viral evolution and disease dynamics between and within human hosts.
About ecology I shall say nothing, and I shall also make a distinction between the study of evolution and that of mathematical models in Mendelian genetics.
Wright's brilliant application of mathematical models to evolution made him a leading evolutionary researcher of the twentieth century and, with R.A. Fisher and J.B.S Haldane, creators of the modern evolutionary synthesis.
Therefore, a survey of mathematical models for tumor evolution and tumor immune cell interaction is included.
Recently, we have observed an interesting evolution in the role of mathematical modeling.
This work is the collaboration between two strong groups in the area of mathematical modeling and experimental viral evolution.
From the view point of mathematical modeling, a fundamental problem in mathematical ecology is to study the spatial-temporal evolutions of mutually interacting species.
Models of resistance evolution (either mathematical models or computer simulations) consider the evolutionary forces governing the temporal dynamics of adaptive genes in populations subjected to strong directional selection.
The advantages of continuous culture systems to perform experimental evolution studies (control, mathematical modeling, absence of bottle-necks, high number of generations per day) were discussed previously by several authors [ 3, 5, 6].
Studies by several groups [20], [23], [32] [36] have shown that fiber rotation plays an important role in the spatiotemporal evolution of scroll waves in mathematical models of cardiac tissue.
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