2 February 2006 Adaptation of fast marching methods to intracellular signaling
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Imaging of signaling phenomena within the intracellular domain is a well studied field. Signaling is the process by which all living cells communicate with their environment and with each other. In the case of signaling calcium waves, numerous computational models based on solving homogeneous reaction diffusion equations have been developed. Typically, the reaction diffusion approach consists of solving systems of partial differential equations at each update step. The traditional methods used to solve these reaction diffusion equations are very computationally expensive since they must employ small time steps in order to reduce the computational error. The presented research suggests the application of fast marching methods to imaging signaling calcium waves, more specifically fertilization calcium waves, in Xenopus laevis eggs. The fast marching approach provides fast and efficient means of tracking the evolution of monotonically advancing fronts. A model that employs biophysical properties of intracellular calcium signaling, and adapts fast marching methods to tracking the propagation of signaling calcium waves is presented. The developed model is used to reproduce simulation results obtained with reaction diffusion based model. Results obtained with our model agree with both the results obtained with reaction diffusion based models, and confocal microscopy observations during in vivo experiments. The adaptation of fast marching methods to intracellular protein or macromolecule trafficking is also briefly explored.
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Aristide C. Chikando and Jason M. Kinser "Adaptation of fast marching methods to intracellular signaling", Proc. SPIE 6065, Computational Imaging IV, 60650R (2 February 2006); doi: 10.1117/12.643227; https://doi.org/10.1117/12.643227

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