The main articles states: "we should be able to develop the tools necessary both for analyzing thermodynamic costs in biological systems and for engineering next-generation computers".
There is a list of references on this site, but here are some additional references, with comments:
The book by Sterling and Laughlin is particularly relevant.
Bialek, W (2012). Biophysics. A comprehensive and rigorous account of the physics which underpins biological processes, including neuroscience and morphogenesis. Bialek adopts the information- theoretic approach which was so successfully applied in his previous book, Spikes. The writing style is fairly informal, but this book assumes a high level of mathematical competence. Highly recommended.
Reza, FM (1961). An Introduction to Information Theory. Comprehensive and mathematically rigorous, with a reasonably geometric approach.
Rieke, F, Warland, D, de Ruyter van Steveninck, RR, and Bialek, W (1997). Spikes: Exploring the Neural Code. The first modern text to formulate questions about the functions of single neurons in terms of information theory. Superbly written in a tutorial style, well argued, and fearless in its pursuit of solid answers to hard questions. Research papers by these authors are highly recommended for their clarity.
Sterling, P and Laughlin, S (2015). Principles of Neural Design. Comprehensive and detailed account of how information theory constrains the design of neural systems. Sterling and Laughlin interpret physiological findings from a wide range of organisms in terms of a single unifying framework: Shannon’s mathematical theory of information. A remarkable book, highly recommended.
Stone, JV (2018). Principles of Neural Information Theory Computational Neuroscience and Metabolic Efficiency. Whereof one cannot speak ...
Zhaoping, L (2014). Understanding Vision: Theory, Models, and Data. Contemporary account of vision based mainly on the efficient coding hypothesis. Even though this book is technically demanding, the introductory chapters give a good overview of the approach.
Tutorial Material
Byrne, JH, Neuroscience Online, McGovern Medical School University of Texas. http://neuroscience.uth.tmc.edu/index.htm.
Laughlin, SB (2006). The Hungry Eye: Energy, Information and Retinal Function. http://www.crsltd.com/guest-talks/crs-guest-lecturers/simon-laughlin.
Stone, JV (2015). Information Theory: A Tutorial Introduction. Sebtel Press.
Jim Stone 14th Oct 2018.