To perform their functions, transcription factors and DNA-repair/modifying enzymes
randomly search DNA in order to locate their specific targets on DNA. Discrete-state …

All major biological processes start after protein molecules known as transcription factors
detect specific regulatory sequences on DNA and initiate genetic expression by associating …

We study the first-passage time distribution (FPTD) F (tf| x 0, L) for a freely diffusing particle
starting at x 0 in one dimension, to a target located at L, averaged over the initial position x 0 …

Inert interactions between randomly moving entities and spatial disorder play a crucial role
in quantifying the diffusive properties of a system, with examples ranging from molecules …

Fourteen new organotin (IV) complexes were successfully synthesized and characterized by
elemental analyses, Fourier transform infrared spectroscopy (FT-IR), multinuclear (1H, 13C …

Protein searching and binding to specific sites on DNA is a fundamentally important process
that marks the beginning of all major cellular transformations. While the dynamics of protein …

Biased lattice random walks (BLRW) are used to model random motion with drift in a variety
of empirical situations in engineering and natural systems such as phototaxis, chemotaxis …

Six aroylhydrazone di-m-chlorobenzyltin complexes {[X-C6H4 (O) C= N–N= C (Me)
COO](MeOH)(m-Cl-C6H4CH2) 2Sn} 2 (X= p-Me-(1), p-MeO-(2), p–t-Bu-(3), p-NO2-(4), p-OH …

We study the late time exponential decay of the survival probability $ S_\pm (t, a| x_0)\sim
e^{-\theta (a) t} $, of a one-dimensional run and tumble particle starting from $ x_0< a $ with …

Stochastic search plays a crucial role in many natural and artificial phenomena across
scales and disciplines. Examples range from the spread of misinformation in online social …