Nonlinear waves inside and by cells: From basic theory to synthetic biology
Adviser: Arik Yochelis
advertised on Wed, 18 Mar 2020
Although wave phenomenology widely appears in biological and medical applications, it became difficult to navigate through the vast number of distinct models and approaches, particularly when the technical jargon often precludes cross-disciplinary integration, such as between communities of biophysics, computational biology, mathematical biology, biological chemistry, dynamical systems, and numerical analysis. Since the construction of complete models of complex systems is currently unrealistic, uncovering the mechanisms that drive pattern-formation phenomena remains of utmost importance for understanding functional aspects of living systems as well as for developing technological applications from treating pathologies to synthetic biology. On the other hand, mechanistic studies of pattern-forming systems are also fertile sources of new theoretical questions that advance the development of analytical and numerical methods, which, in turn, contribute new insights into the original applications.
In our group, we work on theoretical aspects related to pattern formation while keeping in mind biological and medical applications, such as intra-cellular waves and their relation to synthetic biology, and branching phenomena with relation to lung formation. The projects can be designed to be mathematical or numerical inclinations, see here for an example.
In addition to biological applications, there are also projects related to soft-matter systems that combine nonlinear physics and Coulombic interactions, see here for more details.