We study models of two sequential enzyme-catalyzed reactions as a basic functional
building block for coupled biochemical networks. We investigate the influence of enzyme …

Several classic problems for particles diffusing outside an arbitrary configuration of non-
overlapping partially reactive spherical traps in three dimensions are revisited. For this …

Substrate permissiveness has long been regarded as the raw materials for the evolution of
new enzymatic functions. In land plants, hydroxycinnamoyltransferase (HCT) is an essential …

Chemical transformations involving the diffusion of reactants and subsequent chemical
fixation steps are generally termed “diffusion-influenced reactions”(DIR). Virtually all …

Cytosolic crowding can influence the thermodynamics and kinetics of in vivo chemical
reactions. Most significantly, proteins and nucleic acid crowders reduce the accessible …

The generalized method of separation of variables (GMSV) is applied to solve boundary
value problems for the Laplace operator in three-dimensional domains with disconnected …

Nucleotides comprise small molecules that perform critical signaling roles in biological
systems. Adenosine-based nucleotides, including adenosine tri-, di-, and mono-phosphate …

Antibodies are large, extremely flexible molecules, whose internal dynamics is certainly key
to their astounding ability to bind antigens of all sizes, from small hormones to giant viruses …

The purpose of this paper is twofold. First, we provide a concise introduction to the
generalized method of separation of variables for solving diffusion problems in canonical …

Contractile function of cardiac cells is driven by the sliding displacement of myofilaments
powered by the cycling myosin crossbridges. Critical to this process is the availability of ATP …