Department of Mathematics
Mathematics Colloquium - Spring 2012
Monday, February 6th, 2012
9:30am - 10:30am, in McCormack 2-145 Kourosh ZarringhalamBoston CollegeMathematical determination of metabolic remodeling specificities of choline and ethanolamine glycerophospholipids
Abstract:
The regulation and maintenance of the cellular lipidome through
biosynthetic, remodeling, and catabolic mechanisms are critical for
biological homeostasis during development, health and disease. These
complex mechanisms control the molecular architectures of lipid
molecular species, which have diverse yet highly regulated fatty acid
chains at both the sn1 and sn2 positions. Here we present a mathematical
dissection of the mechanisms influencing phosphatidylcholine (PC) and
phosphatidylethanolamine (PE) molecular architectures and remodeling
from high-throughput shotgun lipidomic data. Using a novel statistical
approach based on Fisher's exact test and Markov Chain Monte Carlo
sampling, we first determine the degree of association among the chain
types at the sn1 and sn2 positions in PC and PE. We then use the
inferred associations to describe the dynamical system of ODE that
govern the kinetic reactions in the remodeling pathway. We reduce the
complexity of the dynamical system and infer the unknown kinetic
parameters using a novel optimization technique and a network inference
algorithm. Simulations show that our model is in close agreement with
experimental data.
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