Sant Kumar

Filtered finite state projection method for the analysis and estimation of stochastic biochemical reaction networks.

This paper introduces the Filtered Finite State Projection (FFSP) method to solve high-dimensional stochastic filtering problems in biochemical reaction networks, demonstrating its effectiveness with numerical examples and real biological data.

Exploiting the Nonlinear Structure of the Antithetic Integral Controller to Enhance Dynamic Performance

The paper demonstrates how nonlinear sequestration reactions in antithetic integral controllers can improve dynamic performance and reduce variability while maintaining robust adaptation.

A divide-and-conquer method for analyzing high-dimensional noisy gene expression networks

The paper introduces a divide-and-conquer method to solve the Chemical Master Equation in high-dimensional gene expression systems, demonstrating its effectiveness in analyzing yeast transcription at single-cell resolution.

Dynamic cybergenetic control of bacterial co-culturecomposition via optogenetic feedback

This paper presents a platform for dynamic control of bacterial co-culture composition using optogenetic feedback and develops a framework for modeling synthetic genetic circuits in E. coli.

A Hierarchy of Biomolecular Proportional-Integral-Derivative Feedback Controllers for Robust Perfect Adaptation and Dynamic Performance

This paper designs biomolecular PID controllers to achieve robust perfect adaptation and improved dynamic performance in synthetic biology systems.