Understanding Living Systems

Understanding Living Systems presents an integrated approach, covering mathematics, physics, computer science, biology and medicine. In this novel approach, the physiological structure is modeled at the level of n-categories (n-categories, n-functors, n-natural transformations, n-adjunctions etc.), the dynamics is modeled at the level of (n+h)-categories, and the evolution is modeled at the level of (n+h+k)categories. The pathological structure is modeled at the level of n-categories (n+n')-categories, the pathological repaired dynamics is modeled at the level of (n+n' + h+h')-categories and the pathological evolution is modeled at the level of (n+n' + h+ h' + k+k')-categories.

This new approach advances the field of computational modeling for biomedical engineers, computer scientists, physicians and mathematical researchers.

• Presents the principles and methods of modeling living systems to provide a solid foundation for understanding the field
• Discusses symmetries and categorical modeling in fields such molecular biology, genetics and epigenetics, homeostatis and immune response, as well as the biomedical engineering applications of the models in these various areas
• Provides complete coverage of biomedical interaction networks in fields such as Psycho-Neuro-Endocrine-Immune interactions, neurons and brain categorical interactions, as well as natural and enatural interactions, along with the biomedical engineering applications of models in these areas

Part 1: Modeling of Living Systems: Principles and methods
1. Modeling Principles
2. Modeling methods
3. Related methods: A Category Theory perspective

Part 2: Living Systems, Symmetries and Categorical Simplexity
3. Molecular biology in InterCategories
4. Genetics and Epigenetics in InterCategories
5. Homeostasis, Feedback and Adjunctions
6. Immune System Response to Cancer and Categorical Triality

Part 3: Categorical Interactions Networks
7. Neurons and Brain Categorical Interactions Networks
8. Psycho-Neuro-Endocrine-Immune Categorical Interactions Networks
9. Categorical Interactions Networks of Intelligent Systems

Dr. Jean Clairambault is Emeritus Senior Scientist and Director of Research for the Mathematical Models for Biology and Medicine (MAMBA) team at Institut National de Recherche en Informatique et en Automatique (INRIA), Paris, France. He received his Ph.D. in Mathematics (Analytical Geometry) from INRIA Paris and his M.D. from INRIA Paris. His research specialties include evolution of phenotypes in cancer cell populations ('cell Darwinism') towards drug resistance, physiologically structured partial differential equation models for cell population dynamics, pharmacotherapeutic optimization in oncology with regard to toxic side effects and drug resistance, and the cell division cycle and its physiological and pharmacological control in cell populations.
Dr. Damien Giacchero is a Dermatologist and Oncologist at the Centre Antoine Lacassagne of the CHU - Centre Hospitalier Universitaire de Nice, Nice, France. He received is M.D. in Dermatology, Oncology, and Public Health from Faculte de Medecine de Nice. His research specialties include clinical best practices and industrial and institutional experimentation in melanoma.
Dr. Jean-François Mascari has been a Senior Scientist at CNR, Consiglio Nazionale delle Ricerche - Instituto per le Applicazioni del Calcolo, Rome, Italy, since 2006 and has led a number of research projects at the institute, including consulting projects with CERN, Hewlett-Packard, University of Minnesota, Los Alamos National Laboratory, and the International Institute of Computer Science, University of California Berkeley. He received his Ph.D. in Electrical Engineering and Information Theory from University of Rome.