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This book discusses the application of molecular biology in resource science and authentication of traditional Chinese medicine (TCM). It also reviews the latest developments in pharmacognosy, introduces new perspectives and insights, discusses the hotspots and focuses in the field of molecular pharmacognosy, and predicts new directions of study. In the last five years, the technologies and scope of molecular pharmacognosy have constantly expanded and evolved. As such, this new edition includes extra content, such as the molecular phylogeography of medicinal plants, functional genome of medicinal plants, and synthetic biology of active compounds. Elucidating the concept, theory, and methodology of molecular pharmacognosy, it promotes the full use of the newly developed technologies and methodologies within the framework of molecular pharmacognosy to solve problems in the field.

Pharmacognosy. --- Pharmacognostics --- Drugs --- Materia medica --- Pharmacy --- Pharmacology. --- Medicinal chemistry. --- Plant biochemistry. --- Molecular biology. --- Plant science. --- Botany. --- Pharmacology/Toxicology. --- Medicinal Chemistry. --- Plant Biochemistry. --- Molecular Medicine. --- Plant Sciences. --- Phytochemistry --- Plant biochemistry --- Plant chemistry --- Biochemistry --- Botany --- Phytochemicals --- Plant biochemical genetics --- Chemistry, Medical and pharmaceutical --- Chemistry, Pharmaceutical --- Drug chemistry --- Medical chemistry --- Medicinal chemistry --- Pharmacochemistry --- Chemistry --- Drug effects --- Medical pharmacology --- Medical sciences --- Chemicals --- Chemotherapy --- Botanical science --- Phytobiology --- Phytography --- Phytology --- Plant biology --- Plant science --- Biology --- Natural history --- Plants --- Molecular biochemistry --- Molecular biophysics --- Biophysics --- Biomolecules --- Systems biology --- Physiological effect --- Floristic botany --- Farmacognòsia --- Medicina xinesa --- Biología molecular --- Biofísica molecular --- Bioquímica molecular --- Biofísica --- Bioquímica --- Histoquímica --- Biologia molecular vegetal --- Codi genètic --- Diagnòstic molecular --- Endocrinologia molecular --- Evolució molecular --- Farmacologia molecular --- Genètica molecular --- Glicòmica --- Metabolòmica --- Microbiologia molecular --- Neurobiologia molecular --- Patologia molecular --- Proteòmica --- Reconeixement molecular --- Biomolècules --- Medicina oriental --- Txi-kung --- Medicaments

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The classical Pontryagin maximum principle (addressed to deterministic finite dimensional control systems) is one of the three milestones in modern control theory. The corresponding theory is by now well-developed in the deterministic infinite dimensional setting and for the stochastic differential equations. However, very little is known about the same problem but for controlled stochastic (infinite dimensional) evolution equations when the diffusion term contains the control variables and the control domains are allowed to be non-convex. Indeed, it is one of the longstanding unsolved problems in stochastic control theory to establish the Pontryagintype maximum principle for this kind of general control systems: this book aims to give a solution to this problem. This book will be useful for both beginners and experts who are interested in optimal control theory for stochastic evolution equations.

Statistical science --- Quantitative methods (economics) --- Finance --- Numerical methods of optimisation --- Operational research. Game theory --- Probability theory --- Mathematics --- Applied physical engineering --- Engineering sciences. Technology --- Financial analysis --- financieel management --- waarschijnlijkheidstheorie --- stochastische analyse --- statistiek --- systeemtheorie --- financiële analyse --- wiskunde --- systeembeheer --- ingenieurswetenschappen --- kansrekening --- optimalisatie

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This is the first book to systematically present control theory for stochastic distributed parameter systems, a comparatively new branch of mathematical control theory. The new phenomena and difficulties arising in the study of controllability and optimal control problems for this type of system are explained in detail. Interestingly enough, one has to develop new mathematical tools to solve some problems in this field, such as the global Carleman estimate for stochastic partial differential equations and the stochastic transposition method for backward stochastic evolution equations. In a certain sense, the stochastic distributed parameter control system is the most general control system in the context of classical physics. Accordingly, studying this field may also yield valuable insights into quantum control systems. A basic grasp of functional analysis, partial differential equations, and control theory for deterministic systems is the only prerequisite for reading this book.

Functional analysis --- Mathematical analysis --- Numerical methods of optimisation --- Operational research. Game theory --- Probability theory --- Mathematics --- analyse (wiskunde) --- waarschijnlijkheidstheorie --- stochastische analyse --- systeemtheorie --- wiskunde --- kansrekening --- optimalisatie

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