This book examines information processing performed by bio-systems at
all scales: from genomes, cells and proteins to cognitive and even
social systems. It introduces a theoretical/conceptual principle based
on quantum information and non-Kolmogorov probability theory to explain
information processing phenomena in biology as a whole.
The book begins with an introduction followed by two chapters devoted to
fundamentals, one covering classical and quantum probability, which also
contains a brief introduction to quantum formalism, and another on an
information approach to molecular biology, genetics and epigenetics. It
then goes on to examine adaptive dynamics, including applications to
biology, and non-Kolmogorov probability theory.
Next, the book discusses the possibility to apply the quantum formalism
to model biological evolution, especially at the cellular level: genetic
and epigenetic evolutions. It also presents a model of the epigenetic
cellular evolution based on the mathematical formalism of open quantum
systems. The last two chapters of the book explore foundational problems
of quantum mechanics and demonstrate the power of usage of positive
operator valued measures (POVMs) in biological science.
This book will appeal to a diverse group of readers including experts in
biology, cognitive science, decision making, sociology, psychology, and
physics; mathematicians working on problems of quantum probability and
information and researchers in quantum foundations.
