Modeling Stem Cell Fates using Non-Markov Processes

Modeling Stem Cell Induction Processes

Technology for converting human cells to pluripotent stem cell using induction processes has the potential to revolutionize regenerative medicine. However, the production of these so called iPS cells is still quite inefficient and may be dominated by stochastic effects. In this work we build mass-action models of the core regulatory elements controlling stem cell induction and maintenance. The ...

Modeling Medical Treatment Using Markov Decision Processes

Cell damaging by irradiating non-thermal plasma to the water: Mathematical modeling of chemical processes

Recently non-thermal plasma (NTP) is applied for many therapeutic applications. By NTP irradiating to the tissues or cell-lines, the water molecules (H2O) would be also activated leading to generate hydrogen peroxide (H2O2). By irradiating plasma to bio-solution, its main output including vacuum UV to UV causes the photolysis of H2O leading to generat...

Microfabricated platform for studying stem cell fates.

Platforms that allow parallel, quantitative analysis of single cells will be integral to realizing the potential of postgenomic biology. In stem cell biology, the study of clonal stem cells in multiwell formats is currently both inefficient and time-consuming. Thus, to investigate low-frequency events of interest, large sample sizes must be interrogated. We report a simple, versatile, and effic...

Modeling and Verification of Distributed Systems Using Markov Decision Processes

The Markov Decision Process (MDP) formalism is a well-known mathematical formalism to study systems with unknown scheduling mechanisms or with transitions whose next-state probability distribution is not known with precision. Analysis methods for MDPs are based generally on the identification of the strategies that maximize (or minimize) a target function based on the MDP’s rewards (or costs). ...