Waddington's epigenetic landscape is an abstract metaphor frequently used to represent the
relationship between gene activity and cell fates during development. Over the past few …

Life is characterized by a myriad of complex dynamic processes allowing organisms to grow,
reproduce, and evolve. Physical approaches for describing systems out of thermodynamic …

Single-cell expression profiling reveals the molecular states of individual cells with
unprecedented detail. Because these methods destroy cells in the process of analysis, they …

Summary Single-cell (sc) RNA-seq, together with RNA velocity and metabolic labeling,
reveals cellular states and transitions at unprecedented resolution. Fully exploiting these …

Many systems on our planet shift abruptly and irreversibly from the desired state to an
undesired state when forced across a “tipping point”. Some examples are mass extinctions …

Cell fate choice and commitment of multipotent progenitor cells to a differentiated lineage
requires broad changes of their gene expression profile. But how progenitor cells overcome …

The problem of reconstructing nonlinear and complex dynamical systems from measured
data or time series is central to many scientific disciplines including physical, biological …

In multicellular organisms, gene regulatory circuits generate thousands of molecularly
distinct, mitotically heritable states through the property of multistability. Designing synthetic …

The variational principles called maximum entropy (MaxEnt) and maximum caliber
(MaxCal)<? format?> are reviewed. MaxEnt originated in the statistical physics of Boltzmann …

We developed a theoretical framework to prove the existence and quantify the Waddington
landscape as well as chreode-biological paths for development and differentiation. The cells …