Theory of Stochatic Processes, and Non-equilibrium Statistical Physics and their applications to physical and biological systems.
I am interested in mathematical problems related to the biological processes in pathogen populations, gene expression, cytoskeletal filaments, and neurons. A focus has been on first passage questions.
We have been closely working with experimentalists on both physical and biological problems.
Earlier I have worked on pattern formation & universal scaling properties of cooling granular matter, and active self-propelled particles and hard rods.
- Saeed Ahmed -- Stochastic Resetting and non-equilibrium transitions.
- Krishna Rijal -- Stochastic processes in biology.
- Mahendra Shinde (2010) -- pattern formation in cooling granular gases.
- Supravat Dey (2012) -- pattern formation in active matter and dissipative gases. [Faculty -- SRM University, Andhra Pradesh]
- Dipjyoti Das (2014) -- stochastic processes in cytoskeletal filaments and microbial populations [Faculty -- IISER Kolkata]
- Aparna J.S. (2019) -- Studies of cytoskeletal filaments.
- Jyoti Sharma (2021) --Experiments on non-linear camphor rotors. [Posr-doc -- IIT Bombay]
- Animesh Biswas (2021) -- Experiments on mercury drops and camphor boats [Post-doc -- Clarke University, USA]
- Indrani Nayak (2021) -- First capture of a moving target under confinement. [Post-doc -- Ohio State University, USA]
Stochastic processes and Biophysics
1. "Exact distribution of threshold crossing times for protein concentrations: implication for Biological timekeeping",
Krishna Rijal, Ashok Prasad, Abhyudai Singh, and Dibyendu Das,
Phys. Rev. Lett. 128, 048101 (2022).
2. "Protein hourglass: Exact first passage time distributions for protein thresholds",
Krishna Rijal, Ashok Prasad, and Dibyendu Das,
Phys. Rev. E 102, 052413 (2020).
2. "Comparison of mechanisms of kinetochore capture with varying number of spindle microtubules",
Indrani Nayak, Dibyendu Das, and Amitabha Nandi,
Phys. Rev. Research 2, 013114 (2020).
3. “First passage of a particle in a potential under stochastic resetting: A vanishing transition of optimal resetting rate”,
Saeed Ahmad, Indrani Nayak, Ajay Bansal, Amitabha Nandi, and Dibyendu Das,
Phys. Rev. E 99, 022130 (2019).
4. "Signatures of a macoscopic switching transition for a dynamic microtubule",
J. S. Aparna, Ranjith Padinhateeri, and Dibyendu Das,
Scientific Reports 7: 45747 (2017).
5. "Theoretical estimates of exposure timescales of protein binding sites on DNA regulated by nucleosome kinetics",
Jyotsana J. Parmar, Dibyendu Das, and Ranjith Padinhateeri,
Nucleic Acids Research (online 2015) 44, 1630 (2016).
6. “Collective force generated by multiple biofilaments can exceed the sum of forces due to individual ones'',
Dipjyoti Das, Dibyendu Das and Ranjith Padinhateeri,
New J. Phys. 16, 063032 (2014) .
7. "First passage of an active particle in the presence of passive crowders",
Animesh Biswas, J.M. Cruz, P. Parmanada, and Dibyendu Das,
Soft Matter 16, 6138 (2020).
8. “Spatial Structures and Giant Number Fluctuations in Models of Active Matter'',
Supravat Dey, Dibyendu Das and R. Rajesh,
Phys. Rev. Lett. 108, 238001 (2012).
9. “Kinetics of polymer tumbling in shear flow: a coarse-grained description”,
Sadhana Singh, R. K. Singh, Dibyendu Das, and Sanjay Kumar,
Phys. Rev. E (Rapid. Com.) 99, 030501 (2019)
10. “Accurate statistics of a flexible polymer chain in shear flow'',
Dibyendu Das and Sanjib Sabhapandit,
Phys. Rev. Lett. 101, 188301 (2008).
11. “Energy decay in Three-dimensional freely cooling granular gas'',
Sudhir N. Pathak, Zahera Jabeen, Dibyendu Das and R. Rajesh,
Phys. Rev. Lett. 112 , 038001 (2014).
12. “Inhomogeneous Cooling of the Rough Granular Gas in Two Dimensions",
Sudhir N. Pathak, Dibyendu Das, R. Rajesh,
Europhys. Lett. 107, 44001 (2014).
13. “Violation of Porod law in a freely cooling granular gas in one dimension'',
Mahendra Shinde, Dibyendu Das, and R. Rajesh,
Phys. Rev. Lett. 99, 234505 (2007).