Articles by Luke
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21K followers
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Education
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Publications
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Multiscale Modeling of Cell Populations and Intracellular Gene Regulatory Network
Mathematical Biology Natural Sciences
See publicationThis paper systematically demonstrates the multiscale cell population balance model's development and evolution. Most importantly, it looks in depth at the applications of the model in terms of intracellular gene network regulations and cell mass control. First the analytical solution of the two dimensional system is derived. The WENO (Weighted Essentially Non-Oscillatory) scheme is adapted to approximate the flux terms in the model and combined with 3rd order Total Variation Diminishing…
This paper systematically demonstrates the multiscale cell population balance model's development and evolution. Most importantly, it looks in depth at the applications of the model in terms of intracellular gene network regulations and cell mass control. First the analytical solution of the two dimensional system is derived. The WENO (Weighted Essentially Non-Oscillatory) scheme is adapted to approximate the flux terms in the model and combined with 3rd order Total Variation Diminishing Runge-Kutta for time evolution to provide numerically stable solutions with 3rd order of accuracy. A threshold-dependent differentiation model is developed to investigate the roles of critical genes such as c-Myc, Ovol1 and Ovol2 in controlling the differentiation and proliferation of cells in the epidermal system. Multiscale cell population models of intracellular gene network constructed from hyperbolic PDEs of up to 3 dimensions are studied thoroughly. By comparing the effects of periodic, single positive and double negative feedbacks on maintaining stable cell populations & homeostasis of the system, we can show the important role of such gene regulations. We demonstrate that robust size regulation can be achieved via means of a population level signal's regulation & cell mass control. Hysteresis in the network and the dynamics of growth and differentiation in the cell populations are also investigated. Furthermore, multiscale modeling of cell cycle control reveals that steady states of the system - the population distribution are sensitive to the competition and balance of the cell cycle and the intercellular gene network. These results can provide insight into the cause of uncontrolled proliferation and diseases including cancer. Combined with the experimental findings, we use the model to fill in gaps in our current biological knowledge and to provide an integrative view of the system.
Courses
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Entrepreneurship
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Machine Learning
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Macroeconomics
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Numerical Analysis
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Partial Differential Equations
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Statistical inference
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Time Series
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Topology
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Projects
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InstantAct
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A mobile app that allows users to report real-time incidents through a click of an icon. Instantly sends their geolocation and the type of incident to first responders. Uses peerjs (works with WebRTC) , Google maps, and At&t speech recognition. Won first place at AT&T Mobile App Hackathon: Public Safety.
Other creators -
Recommendation Engine
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- Built effective recommendation engine to optimize consumer shopping experience
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KarFarm
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See project- Reverse shopping bidding mechanism for automotive industry
- Mobile front end developer, UI/UX design
- Database and business growth insight
Honors & Awards
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Fellowship for Outstanding Research Awards
University of California, Irvine
Fellowship for Outstanding Research Awards (Competitive), University of California, Irvine, 2006 – 2011
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Impact Awards
Wish
Impact award for leading the growth of ProductBoost, the native ad platform on Wish.
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Impact Award
PayPal
Outstanding impact award 2011
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Distinguished Presentation Award
The International Conference on Systems Biology
Distinguished Presentation Award, The International Conference on Systems Biology, Edinburgh, UK, 2010
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Winner of Research Opportunity Awards
CALTECH
Winner of Research Opportunity Awards, Center for Complex Biological Systems, Caltech, 2007
Languages
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English
Native or bilingual proficiency
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Chinese
Native or bilingual proficiency
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Spanish
Elementary proficiency
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German
Elementary proficiency
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