Papers by Mahashweta Basu
We study absorbing state phase transition in one dimension in presence of a conserved continuous ... more We study absorbing state phase transition in one dimension in presence of a conserved continuous local field (CCLF) called energy. A pair of sites on a lattice is said to be active if one or both sites posses more energy than a pre-defined threshold. The active pair of sites are allowed to redistribute their energy following a stochastic rule. We show that, the CCLF model undergo a continuous absorbing state transition when energy per site is decreased below a critical value. The critical exponents are found to be different from those of DP.
Europhysics Letters (epl), 2011
$\gamma =\frac{\ln n}{\ln N}$ crosses a threshold. It must be emphasized that, in contrast to the... more $\gamma =\frac{\ln n}{\ln N}$ crosses a threshold. It must be emphasized that, in contrast to the ordinary percolation models, here the transition occurs even in one dimensional systems, albeit discontinuously. We also show that a special kind of discontinuous percolation occurs only in one dimension when $N$ depends on the system size.
$\gamma =\frac{\ln n}{\ln N}$ crosses a threshold. It must be emphasized that, in contrast to the... more $\gamma =\frac{\ln n}{\ln N}$ crosses a threshold. It must be emphasized that, in contrast to the ordinary percolation models, here the transition occurs even in one dimensional systems, albeit discontinuously. We also show that a special kind of discontinuous percolation occurs only in one dimension when $N$ depends on the system size.
Journal of Physics: Conference Series, 2011
Human micro RNAs (miRNAs) target about 90% of the coding genes and form a complex regulatory netw... more Human micro RNAs (miRNAs) target about 90% of the coding genes and form a complex regulatory network. We study the community structure of the miRNA co-target network considering miRNAs as the nodes which are connected by weighted links. The weight of link that connects a pair of miRNAs denote the total number of common transcripts targeted by that pair. We argue that the network consists of about 74 modules, quite similar to the components (or clusters) obtained earlier [Online J Bioinformatics, 10,280], indicating that the components of the miRNA co-target network are self organized in a way to maximize the modularity.
A $(1+1)$ dimensional model of directed percolation is introduced where sites on a tilted square ... more A $(1+1)$ dimensional model of directed percolation is introduced where sites on a tilted square lattice are connected to their neighbours by $N$ channels, operated at both ends by valves which are either open or closed. The spreading fluid is assumed to propagate from any site to the neighbours in a specified direction only through those channels which have open valves at both sites. We show that the system undergoes a discontinuous absorbing state transition in the large $N$ limit when the number of open valves at each site $n$ crosses a threshold value $n_c=\sqrt N.$ Remarkable dynamical properties of discontinuous transitions, like hysteresis and existence of two well separated fluctuating phases near the critical point are also observed. The transition is found to be discontinuous in all $(d+1)$ dimensions.
We argue that distribution of arrival time is a two parameter function specified by the substrate... more We argue that distribution of arrival time is a two parameter function specified by the substrate and the disorder densities, and that it correctly reproduce the distribution of turnover time obtained from Monte-Carlo simulations of single enzyme kinetics in two dimension, both in absence and presence of disorder. The decoupled dynamics model is simple to implement and generic enough to describe both normal and anomalous diffusion of substrates. It also suggests that the diffusion of substrates in the single enzyme systems could explain the different distributions of turnover time observed in recent experiments.
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Papers by Mahashweta Basu