Publications

@article{Alam2012,
title = {Stochastic synchronization of interacting pathways in testosterone model},
author = {Md Jahoor Alam and Gurumayum Reenaroy Devi and K.Brojen R Singh and R Ramaswamy and Sonu Chand Thakur and Indrajit B Sharma},
url = {http://dx.doi.org/10.1016/j.compbiolchem.2012.08.001},
doi = {10.1016/j.compbiolchem.2012.08.001},
issn = {14769271},
year = {2012},
date = {2012-01-01},
journal = {Computational Biology and Chemistry},
volume = {41},
pages = {10–17},
publisher = {Elsevier Ltd},
abstract = {We examine the possibilities of various coupling mechanisms among a group of identical stochastic oscillators via Chemical Langevin formalism where each oscillator is modeled by stochastic model of testosterone (T) releasing pathway. Our results show that the rate of synchrony among the coupled oscillators depends on various parameters namely fluctuating factor, coupling constants $epsilon$, and interestingly on system size. The results show that synchronization is achieved much faster in classical deterministic system rather than stochastic system. Then we do large scale simulation of such coupled pathways using stochastic simulation algorithm and the detection of synchrony is measured by various order parameters such as synchronization manifolds, phase plots etc and found that the proper synchrony of the oscillators is maintained in different coupling mechanisms and support our theoretical claims. We also found that the coupling constant follows power law behavior with the systems size (V) by $epsilon$ ∼ AV-$gamma$, where $gamma$ = 1 and A is a constant. We also examine the phase transition like behavior in all coupling mechanisms that we have considered for simulation. The behavior of the system is also investigated at thermodynamic limit; where V→ ∞, molecular population, N→ ∞ but NV→finite, to see the role of noise in information processing and found the destructive role in the rate of synchronization. textcopyright 2012 Elsevier Ltd. All rights reserved.},
keywords = {Cell signaling, Coupling, Intercellular communication, Intracellular communication, Synchronization},
pubstate = {published},
tppubtype = {article}
}

@article{Singh2010,
title = {Stochastic synchronization of circadian rhythms},
author = {Raj Kumar Brojen Singh and Vikram Singh and Ram Ramaswamy},
url = {https://ramramaswamy.org/papers/133.pdf},
doi = {10.1007/s11424-010-0208-x},
issn = {10096124},
year = {2010},
date = {2010-01-01},
journal = {Journal of Systems Science and Complexity},
volume = {23},
number = {5},
pages = {978–988},
abstract = {Models of circadian genetic oscillators involving interlinked feedback processes in molecular level genetic networks in Drosophila melanogaster and Neurospora crassa are studied, and mechanisms whereby synchronization can arise in an assembly of cells are examined. The individual subcellular circadian oscillatory processes are stochastic in nature due to the small numbers of molecules that are involved, and are subject to large fluctuations. The authors investigate and present the simulations of the stochastic dynamics of ensembles of clock-regulating proteins in different nuclei that communicate via ancillary small molecules, environmental parameters, additive cellular noise, or through diffusive processes. The results show that the emergence of collective oscillations is a macroscopic observable which has its origins in the microscopic coupling between distinct cellular oscillators. textcopyright The Editorial Office of JSSC & Springer-Verlag Berlin Heidelberg 2010.},
keywords = {Coupling, Stochastic dynamics, Synchrony},
pubstate = {published},
tppubtype = {article}
}