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As clinical trials of pharmacological neuroprotective strategies in stroke have been disappointing, attention has turned to the brain's own endogenous strategies for neuroprotection. Two endogenous mechanisms have been recently characterized, ischemic preconditioning and ischemic postconditioning. In the present topic newly characterized mechanisms involved in preconditioning- and postconditioning- neuroprotection will be discussed. The understanding of the mechanisms involved in the neuroprotective pathways induced by preconditioning and postconditioning will be clinically relevant for identifying new druggable target for neurodegenerative disorder therapy. Furthermore, the importance of these neuroprotective strategies resides in that it might be easily translatable into clinical practice. Therefore, the data presented here will highlight the capacity of ischemic preconditioning and postconditioning to be of benefit to humans.

Neuroprotection --- postconditioning --- NCX --- Stroke --- seizure --- miRNA --- Alzheimer --- preconditioning --- Neuroprotection --- postconditioning --- NCX --- Stroke --- seizure --- miRNA --- Alzheimer --- preconditioning

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As clinical trials of pharmacological neuroprotective strategies in stroke have been disappointing, attention has turned to the brain's own endogenous strategies for neuroprotection. Two endogenous mechanisms have been recently characterized, ischemic preconditioning and ischemic postconditioning. In the present topic newly characterized mechanisms involved in preconditioning- and postconditioning- neuroprotection will be discussed. The understanding of the mechanisms involved in the neuroprotective pathways induced by preconditioning and postconditioning will be clinically relevant for identifying new druggable target for neurodegenerative disorder therapy. Furthermore, the importance of these neuroprotective strategies resides in that it might be easily translatable into clinical practice. Therefore, the data presented here will highlight the capacity of ischemic preconditioning and postconditioning to be of benefit to humans.

Neuroprotection --- postconditioning --- NCX --- Stroke --- seizure --- miRNA --- Alzheimer --- preconditioning

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Reperfusion Injury --- Apoptosis --- Liver --- Blood Platelets --- Liver --- Ischemic Preconditioning --- physiopathology --- physiology --- blood supply --- injuries

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Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs is about the interplay between modeling, analysis, discretization, matrix computation, and model reduction. The authors link PDE analysis, functional analysis, and calculus of variations with matrix iterative computation using Krylov subspace methods and address the challenges that arise during formulation of the mathematical model through to efficient numerical solution of the algebraic problem. The book's central concept, preconditioning of the conjugate gradient method, is traditionally developed algebraically using the preconditioned finite-dimensional algebraic system. In this text, however, preconditioning is connected to the PDE analysis, and the infinite-dimensional formulation of the conjugate gradient method and its discretization and preconditioning are linked together. This text challenges commonly held views, addresses widespread misunderstandings, and formulates thought-provoking open questions for further research.

Boundary value problems --- Numerical solutions. --- Numerical solution of partial differential equations --- Operator and algebraic preconditioning in link with discretization --- Matching moments model reduction --- Conjugate gradient method --- Computational efficiency

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The role of ROS/RNS signaling in cardiovascular functions and diseases is increasingly emerging in the last decades. The involvement of ROS/RNS in the control of a large number of cardiovascular functions like the regulation of the vascular tone, the control of blood pressure or myocyte excitation-contraction coupling and force development has been broadly investigated and in part clarified. On the other hand, many efforts have been focused in clarifying the redox mechanisms involved in cardiovascular diseases like ischemia/reperfusion injury, diabetes-associated cardiovascular dysfunctions, atherosclerosis or hypertension, just to mention the major ones. However, in most cases the two levels of investigation remain separate and not interlaced, failing in the attempt to provide a unified vision of the pathophysiologic mechanisms of cardiovascular diseases. The major aim of the Research Topic has been to collect original papers and review articles dealing with the issue from basic to translation research point of views. The topic includes contributions that highlight different interesting aspects of cardiovascular biology with an integrated approach useful for the development of new ideas and advancements in the field of redox signaling in the control of normal cardiovascular functions and their disruption in diseases.

Antioxidants --- Metabolomics --- Stroke --- Exercise --- ischemia/reperfusion injury --- mitochondria and chaperones --- Pulmonary hypertention --- reactive oxygen and nitrogen species --- cardiac preconditioning and postconditioning --- Endothelium