Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Separation of time-scales and model reduction for stochastic reaction networks.

- Hye-Won Kang, T. Kurtz
- Mathematics
- 7 November 2010

A stochastic model for a chemical reaction network is embedded in a one-parameter family of models with species numbers and rate constants scaled by powers of the parameter. A systematic approach is… Expand

132 12- PDF

Central limit theorems and diffusion approximations for multiscale Markov chain models

- Hye-Won Kang, T. Kurtz, Lea Popovic
- Mathematics
- 18 August 2012

Ordinary differential equations obtained as limits of Markov processes appear in many settings. They may arise by scaling large systems, or by averaging rapidly fluctuating systems, or in systems… Expand

47 2- PDF

A new method for choosing the computational cell in stochastic reaction–diffusion systems

- Hye-Won Kang, L. Zheng, H. Othmer
- Mathematics, Medicine
- Journal of mathematical biology
- 2012

How to choose the computational compartment or cell size for the stochastic simulation of a reaction–diffusion system is still an open problem, and a number of criteria have been suggested. A… Expand

28 1- PDF

Quasi-Steady-State Approximations Derived from the Stochastic Model of Enzyme Kinetics

- Hye-Won Kang, Wasiur R. KhudaBukhsh, H. Koeppl, Grzegorz A Rempała
- Mathematics, Biology
- Bulletin of mathematical biology
- 8 November 2017

The paper outlines a general approach to deriving quasi-steady-state approximations (QSSAs) of the stochastic reaction networks describing the Michaelis–Menten enzyme kinetics. In particular, it… Expand

17 1- PDF

Comparison of Deterministic and Stochastic Regime in a Model for Cdc42 Oscillations in Fission Yeast

- B. Xu, Hye-Won Kang, Alexandra Jilkine
- Physics, Medicine
- Bulletin of mathematical biology
- 12 February 2019

Oscillations occur in a wide variety of essential cellular processes, such as cell cycle progression, circadian clocks and calcium signaling in response to stimuli. It remains unclear how intrinsic… Expand

6 1

Stochastic Analysis of Reaction–Diffusion Processes

- J. Hu, Hye-Won Kang, H. Othmer
- Computer Science, Medicine
- Bulletin of mathematical biology
- 2014

TLDR

17- PDF

The effect of the signalling scheme on the robustness of pattern formation in development

- Hye-Won Kang, L. Zheng, H. Othmer
- Computer Science, Medicine
- Interface Focus
- 6 August 2012

TLDR

15- PDF

Reduction for Stochastic Biochemical Reaction Networks with Multiscale Conservations

- J. K. Kim, G. Rempała, Hye-Won Kang
- Biology, Mathematics
- Multiscale Model. Simul.
- 19 April 2017

TLDR

14- PDF

A multiscale approximation in a heat shock response model of E. coli

- Hye-Won Kang
- Mathematics, Computer Science
- BMC Systems Biology
- 21 November 2012

TLDR

11- PDF

Multiscale methods in a Heat Shock Response Model

My graduate research involves the application of stochastic analysis to biological problems. Recently, interest in mathematical biology has grown enormously and mathematicians in various areas have… Expand