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Diffusion Mediated Signaling: Information Capacity and Coarse Grained Representations

Garvey, Matthew Thomas
http://rave.ohiolink.edu/etdc/view?acc_num=case1233592563

Abstract Details

2009, Master of Sciences, Case Western Reserve University, Applied Mathematics.
Communication via diffusible chemical signals is ubiquitous within biology. We explore a model of a biochemical communications channel using a diffusible chemical signal transmitted across a volume. The received signal is attenuated by a combination of diffusion, decay, and counting noise. We find the response of the channel is well fit by an additive Gaussian noise model y = x+z, where x ∈ C is the Fourier component of an arbitrary sinusoidal input at a frequency ω, z ∈ C is complex bivariate Gaussian noise with variance N, and β ∈ C and N ∈ R depend systematically on ω. We impose a natural constraint A on the input amplitude, and find the information capacity on a single frequency, and on several together by waterfilling. We also consider several different coarse grainings of the model and how the loss of detail affects apparent information capacity.
Peter Thomas, PhD (Committee Chair)
Marshall Leitman, PhD (Committee Member)
Robin Snyder, PhD (Committee Member)
107 p.
Bioinformatics; Information Systems; Mathematics
information capacity; coarse graining; diffusion; signaling; stochastic; transition matrix; markov process

Recommended Citations

Citations

  • Garvey, M. T. (2009). Diffusion Mediated Signaling: Information Capacity and Coarse Grained Representations [Master's thesis, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1233592563

    APA Style (7th edition)

  • Garvey, Matthew. Diffusion Mediated Signaling: Information Capacity and Coarse Grained Representations. 2009. Case Western Reserve University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1233592563.

    MLA Style (8th edition)

  • Garvey, Matthew. "Diffusion Mediated Signaling: Information Capacity and Coarse Grained Representations." Master's thesis, Case Western Reserve University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=case1233592563

    Chicago Manual of Style (17th edition)

case1233592563
716
© 2009, all rights reserved.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.