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Paper Title A General Upper Bound on Point-to-Point Particle Timing Channel Capacity Under Constant Particle Emission Intensity
Paper IdentifierTU2.R5.1
Authors Christopher Rose, Brown University, United States; I. S. Mian, University College London, United Kingdom
Session Information Theory in Biology II
Location Saint Victor, Level 3
Session Time Tuesday, 09 July, 11:40 - 13:00
Presentation Time Tuesday, 09 July, 11:40 - 12:00
Manuscript  Click here to download the manuscript
Abstract The past decade has produced a large body of work on communication channels which use chemicals to communicate. Some work uses a finest grain model wherein the arrival times of individual emitted particles convey information. Others consider a related particle intensity system where the time is binned at the transmitter/receiver and the number of particles released and counted conveys information. Still others consider a macroscopic model that uses an Avogradrian number of particles and thus concentration as the information carrier. However, given the myriad emission, carrier transport and uptake/sensing methods studied, it has been difficult to precisely relate timing, intensity and concentration results. Here we attempt a partial unification through a simple upper bound applicable to any finite-mean first-passage time transport mechanism under an assumption of constant particle emission intensity $\bmylambda$. Our result is expressed in terms of three quantities: the particle emission rate $\bmylambda$, the average particle uptake rate $\mymu$, and the entropy of the first-passage time distribution, $h(D)$.