Living cells detect and process external signals using signaling pathways that are affected
by random fluctuations. These variations cause the behavior of individual cells to fluctuate …

One of the major challenges in modern biology is to understand how the molecular
components of a living cell operate in a highly noisy environment. What are the specific …

Living things benefit from exquisite molecular sensitivity in many of their key processes,
including DNA replication, transcription and translation, chemical sensing, and …

Cells adapt to changing environments by sensing ligand concentrations using specific
receptors. The accuracy of sensing is ultimately limited by the finite number of ligand …

We present a spectral-theoretic approach to time-average statistical mechanics for general,
nonequilibrium initial conditions. We consider the statistics of bounded, local additive …

Cell fate decisions in the fly embryo are rapid: hunchback genes decide in minutes whether
nuclei follow the anterior/posterior developmental blueprint by reading out positional …

Cells need to reliably sense external ligand concentrations to achieve various biological
functions such as chemotaxis or signaling. The molecular recognition of ligands by surface …

Computational methods are now recognized as powerful and complementary approaches in
various applied sciences such as biology. These computing methods are used to explore …

We investigate the boundary between chemotaxis driven by spatial estimation of gradients
and chemotaxis driven by temporal estimation. While it is well known that spatial chemotaxis …

Many biological processes are initiated when diffusing extracellular reactants reach
receptors on a cell membrane. Calculating this arrival rate has therefore attracted theoretical …