Biological regulatory systems, such as cell signaling networks, nervous systems and
ecological webs, consist of complex dynamical interactions among many components …

Escherichia coli is a common chassis for synthetic gene circuit studies. In addition to the
dose–response of synthetic gene circuits, the analysis of dynamic responses is also an …

In this study we show that concept of backward bifurcation, borrowed from epidemics, can be
fruitfully exploited to shed light on the mechanism underlying the occurrence of hysteresis in …

Noise in gene expression can be substantively affected by the presence of production delay.
Here we consider a mathematical model with bursty production of protein, a one-step …

Flying insects routinely demonstrate coordinated flight in crowded assemblies despite strict
communication and processing constraints. This study experimentally records multiple flying …

Differential equation models are widely used to describe genetic regulations, predict
multicomponent regulatory circuits, and provide quantitative insights. However, it is still …

Time delays are known to play a crucial role in generating biological oscillations. The early
embryonic cell cycle in the frog Xenopus laevis is one such example. Although various …

The paper addresses the problem of calculating the noise-induced switching rates in
systems with delay-distributed kernels and Gaussian noise. A general variational …

A parametric sensitivity analysis for periodic solutions of delay-differential equations is
developed. Because phase shifts cause the sensitivity coefficients of a periodic orbit to …

The thesis develops a novel approach to design of a reservoir computer, one of the
challenges of modern Science and Technology. It consists of two parts, both connected by …