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Successful efforts in genetic, molecular, and developmental biology, along with mathematical modeling, have identified some of the players involved in stem cell regulation.
Comparative experimental investigations of both intact animals and reduced neural preparations, integrated with mathematical modeling, have been instrumental in advancing our understanding of insect locomotion.
With recent advances in high throughput data generation methods, computational techniques and mathematical modeling have become even more central to the study of biological systems.
Both genetic analysis and mathematical modeling have shown that such leftward nodal flow is both necessary and sufficient to trigger unilateral Nodal expression.
However, adequate characterizations of dose response relationships by mathematical modeling have to rely on the use of a sufficient number of dose groups.
Next-generation sequencing and mathematical modeling have also provided unprecedented insight into the longitudinal sequence by which mutations are acquired as cancer cells clonally evolve (Fig. 1B).
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Mathematical modeling has been utilized.
Mathematical modeling has been an essential part of this progress.
Mathematical modeling has been an important tool to address these problems.
The role of mathematical modeling has been intensively growing in the study of epidemiology.
Mathematical modeling has been playing key roles for understanding the dynamics of genetic oscillators [1 4].
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