On the Fractal Language of Medicine (Fractional Order Thinking in Exploring the Frontiers of STEM)

On the Fractal Language of Medicine bridges a very clear gap among the knowledge gained over the last 20 years in the physical and life sciences on network theory, organ synchronicity and communication, the understanding of fractal signatures in health and disease and the importance of fractional calculus in integrating these concepts. The authors opine that the field of medicine has not appreciated this hard-won knowledge and has suffered greatly as a result. This book addresses this perceived deficiency by introducing medical researchers, clinicians, residents, first-year medical students and members of allied fields to the work of the so-called hard sciences. It seeks to facilitate effective communication between empiricists and theorists by making interdisciplinary efforts to explain complex mathematical concepts to physicians and, equally important, to elucidate complex medical concepts to physicists or mathematicians. This book will be of great interest to medical students, professionals and academics, as well as students and researchers of applied mathematics, especially those interested in fractional calculus and fractals. Cover Half Title Series Page Title Page Copyright Page Dedication Contents Preface Glossary CHAPTER 1: Statement of Purpose 1.1. ORIGINS 1.2. BASIC CONCEPTS OF FRACTAL PHYSIOLOGY 1.3. APPROACHES TO THEORY DEVELOPMENT 1.4. SELF-ORGANIZING CRITICALITY 1.5. CLOSING THOUGHTS 1.5.1. The Future of Medicine CHAPTER 2: Science of Fractals 2.1. WHY USE FRACTALS? 2.2. WHAT ARE FRACTALS ANYWAY? 2.3. FRACTALS IN MEDICINE 2.4. FRACTAL NETWORKING 2.5. THE FUTURE CHAPTER 3: Theory Perspective of FLM 3.1. INFORMATION FORCES 3.2. IMPORTANCE OF INTERMITTENCY 3.3. THE WORLD IS UNFAIR 3.4. ENTROPY AND INFORMATION 3.5. DISCUSSION AND CONCLUSIONS CHAPTER 4: Empirical Perspective of FLM 4.1. THERAPEUTIC IMPLICATIONS OF FRACTALS 4.2. THE CROSS-CORRELATION CUBE (CCC) 4.3. INFORMATION TRANSFER BY "MASTER" ON CHAPTER 5: A Path Forward 5.1. EMBRACING THE FRACTAL-PARADIGM 5.2. FACILITATING THE EMBRACE 5.3. FUTURE LIFE SUPPORT DEVICES AND FLM 5.4. WHAT HAVE WE LEARNED? 5.5. BIG DATA FRACTAL TIME SERIES CHAPTER 6: Fractal Calculus for Medicine 6.1. FRACTAL TIME SERIES AND SOTC 6.2. A CALCULUS FOR FPTS 6.3. DETECTING CRUCIAL EVENTS 6.4. COMPLEXITY SYNCHRONIZATION (CS) APPENDIX A: Fractal Dynamics and Operators A.1. FRACTAL DERIVATIVES A.2. FRACTAL DYNAMICS APPENDIX B: Afterword Index