We provide a fundamental treatment of the molecular communication channel
wherein "inscribed matter" is transmitted across a spatial gap to provide
reliable signaling between a sender and receiver. Inscribed matter is defined
as an ensemble of "tokens" (molecules, objects, and so on) and is inspired, at
least partially, by biological systems where groups of individually constructed
discrete particles ranging from molecules through membrane-bound structures
containing molecules to viruses and organisms are released by a source and
travel to a target -- for example, morphogens or semiochemicals diffuse from
one cell, tissue or organism diffuse to another. For identical tokens that are
neither lost nor modified, we consider messages encoded using three candidate
communication schemes: a) token timing (timed release), b) token payload
(composition), and c) token timing plus payload. We provide capacity bounds for
each scheme and discuss their relative utility. We find that under not
unreasonable assumptions, megabit per second rates could be supported at
femtoWatt transmitter powers. Since quantities such as token concentration or
bin-counting are derivatives of token arrival timing, individual token timing
undergirds all molecular communication techniques. Thus, our modeling and
results about the physics of efficient token-based information transfer can
inform investigations of diverse theoretical and practical problems in
engineering and biology. This work, Part I, focuses on the information
theoretic bounds on capacity. Part II develops some of the mathematical and
information-theoretic ideas that support the bounds presented here.Comment: 20 pages, 6 figures, 1 Table in revision at IEEE Journal on
Molecular, Biological and Multiscale Communicatio