Dynamics of Control Architectures in Cell Lineages

Tissues typically denote heterogeneous cell collectives that often exhibit complex and interesting behavior that would otherwise not be seen in single cells alone. In the most generic form, we can understand tissues as being composed of three major types of cells, those being: stem cells, transit-amplifying cells, and differentiated cells. Additionally, we know that these cell types can secrete regulatory factors that can exhibit control factors on the other cell populations. These factors can be understood to have positive or negative effects. Recent work in mathematical biology has outlined multiple cell lineage control topologies that result in local tissue homeostasis. In our implementation of the two and three-stage models, we examine the similarities and differences between the different forms of control that can be implemented. Furthermore, many of the qualitative aspects of the models have previously gone unaddressed. Using dynamical systems theory, we highlight many of the qualitative characteristics seen in these models and report on homologous or degenerate solutions. 

To see the code please visit the associated GitHub repository.