46 citations · 75 across the 6 of their papers we have counts for
6 papers
Kinetics of self-assembly via facilitated diffusion: formation of the transcription complex
Ziya Kalay
We present an analytically solvable model for self-assembly of a molecular complex on a filament. The process is driven by a seed molecule that undergoes facilitated diffusion, whi…
Fragmentation of Random Trees
Z. Kalay, E. Ben-Naim
We study fragmentation of a random recursive tree into a forest by repeated removal of nodes. The initial tree consists of N nodes and it is generated by sequential addition of nod…
Distribution of population averaged observables in stochastic gene expression
Bhaswati Bhattacharyya, Ziya Kalay
Observation of phenotypic diversity in a population of genetically identical cells is often linked to the stochastic nature of chemical reactions involved in gene regulatory networ…
Effects of disorder in location and size of fence barriers on molecular motion in cell membranes
Z. Kalay, P. E. Parris, V. M. Kenkre
The effect of disorder in the energetic heights and in the physical locations of fence barriers encountered by transmembrane molecules such as proteins and lipids in their motion i…
Molecular motion in cell membranes: analytic study of fence-hindered random walks
V. M. Kenkre, L. Giuggioli, Z. Kalay
A theoretical calculation is presented to describe the confined motion of transmembrane molecules in cell membranes. The study is analytic, based on Master equations for the probab…
Study of transients in the propagation of nonlinear waves in some reaction diffusion systems
L. Giuggioli, Z. Kalay, V. M. Kenkre
We study the transient dynamics of single species reaction diffusion systems whose reaction terms vary nonlinearly near , specifically as and…