Journal of Optimization Theory and Applications, ISSN 0022-3239, 1/2017, Volume 172, Issue 1, pp. 1 - 8

...J Optim Theory Appl (2017) 172:1–8 DOI 10.1007/s10957-016-1044-5 OBITUARY Homo Sapiens, Homo Ludens Michel Théra 1,2 Published online: 29 December 2016...

Calculus of Variations and Optimal Control; Optimization | Mathematics | Theory of Computation | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | Optimization

Calculus of Variations and Optimal Control; Optimization | Mathematics | Theory of Computation | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | Optimization

Journal Article

1999, Lecture notes in economics and mathematical systems, ISBN 3540663231, Volume 477, viii, 274

Book

Mathematical Programming, ISSN 0025-5610, 6/2016, Volume 157, Issue 2, pp. 349 - 374

... by operators with nonempty interior domain Samir Adly 1 · Abderrahim Hantoute 2 · Michel Théra 1 , 3 Received: 22 May 2013 / Accepted: 27 July 2015 / Published online: 14...

Generalized subdifferentials | Evolution differential inclusions | Theoretical, Mathematical and Computational Physics | 37B25 | Mathematics | Lower semicontinuous Lyapunov pairs and functions | Mathematical Methods in Physics | Invariant sets | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 93B05 | Maximally monotone operators | Combinatorics | 47J35 | VARIATIONAL-INEQUALITIES | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SYSTEMS | STABILITY THEORY | Studies | Set theory | Hilbert space | Mathematical analysis | Differential equations | Operators (mathematics) | Operators | Stability | Criteria | Inclusions | Flexibility | Standards

Generalized subdifferentials | Evolution differential inclusions | Theoretical, Mathematical and Computational Physics | 37B25 | Mathematics | Lower semicontinuous Lyapunov pairs and functions | Mathematical Methods in Physics | Invariant sets | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 93B05 | Maximally monotone operators | Combinatorics | 47J35 | VARIATIONAL-INEQUALITIES | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SYSTEMS | STABILITY THEORY | Studies | Set theory | Hilbert space | Mathematical analysis | Differential equations | Operators (mathematics) | Operators | Stability | Criteria | Inclusions | Flexibility | Standards

Journal Article

PloS one, ISSN 1932-6203, 2018, Volume 13, Issue 2, p. e0192850

Aim Proprotein Convertase Subtilisin/Kexin Type 9 (PCSK9) is a hepatic secretory protein which promotes the degradation of low-density lipoprotein receptors...

DENSITY-LIPOPROTEIN CHOLESTEROL | PROPROTEIN CONVERTASES | AFRICAN POPULATION | HEART-DISEASE | PROTEIN | INFLAMMATION | MULTIDISCIPLINARY SCIENCES | SUBTILISIN/KEXIN TYPE 9 | MUTATIONS | PLASMA LDL CHOLESTEROL | CORONARY-ARTERY-DISEASE | Severity of Illness Index | Genetic Predisposition to Disease | Genetic Association Studies | Dried Blood Spot Testing | Gene Frequency | Humans | Child, Preschool | Infant | Male | Proprotein Convertase 9 - genetics | Genotyping Techniques | Case-Control Studies | Mali | Adolescent | Female | Polymorphism, Single Nucleotide | Odds Ratio | Child | Malaria - genetics | Physiological aspects | Development and progression | Genetic aspects | Research | Malaria | Genetic polymorphisms | Plasma | Genomics | Population studies | Lipids | Cardiovascular disease | Biochemistry | Single-nucleotide polymorphism | Proteins | Confidence intervals | Receptors | Immunology | Residential density | Rodents | Infectivity | Atherosclerosis | Frequency distribution | Children | Genotypes | Deoxyribonucleic acid--DNA | Chronic illnesses | Vector-borne diseases | Subtilisin | Inflammation | Metabolism | Lipoprotein receptors | Minority & ethnic groups | Patients | Cholesterol | Medicine | Lipoproteins | Hospitals | Kexin | Gene frequency | Alleles | Mutation | Polymorphism | Training | Deoxyribonucleic acid | DNA

DENSITY-LIPOPROTEIN CHOLESTEROL | PROPROTEIN CONVERTASES | AFRICAN POPULATION | HEART-DISEASE | PROTEIN | INFLAMMATION | MULTIDISCIPLINARY SCIENCES | SUBTILISIN/KEXIN TYPE 9 | MUTATIONS | PLASMA LDL CHOLESTEROL | CORONARY-ARTERY-DISEASE | Severity of Illness Index | Genetic Predisposition to Disease | Genetic Association Studies | Dried Blood Spot Testing | Gene Frequency | Humans | Child, Preschool | Infant | Male | Proprotein Convertase 9 - genetics | Genotyping Techniques | Case-Control Studies | Mali | Adolescent | Female | Polymorphism, Single Nucleotide | Odds Ratio | Child | Malaria - genetics | Physiological aspects | Development and progression | Genetic aspects | Research | Malaria | Genetic polymorphisms | Plasma | Genomics | Population studies | Lipids | Cardiovascular disease | Biochemistry | Single-nucleotide polymorphism | Proteins | Confidence intervals | Receptors | Immunology | Residential density | Rodents | Infectivity | Atherosclerosis | Frequency distribution | Children | Genotypes | Deoxyribonucleic acid--DNA | Chronic illnesses | Vector-borne diseases | Subtilisin | Inflammation | Metabolism | Lipoprotein receptors | Minority & ethnic groups | Patients | Cholesterol | Medicine | Lipoproteins | Hospitals | Kexin | Gene frequency | Alleles | Mutation | Polymorphism | Training | Deoxyribonucleic acid | DNA

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 2/2014, Volume 160, Issue 2, pp. 355 - 390

... Huu Tron · Michel Théra Received: 26 December 2011 / Accepted: 25 July 2013 / Published online: 23 August 2013 © Springer Science+Business Media New York 2013...

Coderivative | Error bound | Mathematics | Theory of Computation | Pseudo-Lipschitz property | Sum-stability | Optimization | Variational systems | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | Metric regularity | MATHEMATICS, APPLIED | MULTIVALUED MAPPINGS | STABILITY | BEHAVIOR | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SYSTEMS | ERROR-BOUNDS | OPENNESS | Resveratrol | Studies | Errors | Analysis | Error analysis | Stability | Mathematical analysis | Regularity | Optimization and Control

Coderivative | Error bound | Mathematics | Theory of Computation | Pseudo-Lipschitz property | Sum-stability | Optimization | Variational systems | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Applications of Mathematics | Engineering, general | Metric regularity | MATHEMATICS, APPLIED | MULTIVALUED MAPPINGS | STABILITY | BEHAVIOR | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SYSTEMS | ERROR-BOUNDS | OPENNESS | Resveratrol | Studies | Errors | Analysis | Error analysis | Stability | Mathematical analysis | Regularity | Optimization and Control

Journal Article

Mathematical programming, ISSN 1436-4646, 2007, Volume 116, Issue 1-2, pp. 397 - 427

... spaces Huynh van Ngai · Michel Théra Received: 6 June 2005 / Accepted: 25 October 2006 / Published online: 16 June 2007 © Springer-Verlag 2007 Abstract In this paper...

Mathematical and Computational Physics | Mathematics | Mathematical Methods in Physics | 90C30 | Asplund space | Mathematics of Computing | Calculus of Variations and Optimal Control; Optimization | 49J52 | Numerical Analysis | Fuzzy calculus | Error bounds | Metric regularity | Combinatorics | MATHEMATICS, APPLIED | SUBDIFFERENTIAL CALCULUS | OPTIMIZATION PROBLEMS | error bounds | WEAK SHARP MINIMA | DIFFERENTIABILITY | fuzzy calculus | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | metric regularity | LINEAR REGULARITY | POINTS | Fuzzy logic | Studies | Calculus | Mathematical analysis | Mathematical programming

Mathematical and Computational Physics | Mathematics | Mathematical Methods in Physics | 90C30 | Asplund space | Mathematics of Computing | Calculus of Variations and Optimal Control; Optimization | 49J52 | Numerical Analysis | Fuzzy calculus | Error bounds | Metric regularity | Combinatorics | MATHEMATICS, APPLIED | SUBDIFFERENTIAL CALCULUS | OPTIMIZATION PROBLEMS | error bounds | WEAK SHARP MINIMA | DIFFERENTIABILITY | fuzzy calculus | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | metric regularity | LINEAR REGULARITY | POINTS | Fuzzy logic | Studies | Calculus | Mathematical analysis | Mathematical programming

Journal Article

Mathematics of Operations Research, ISSN 0364-765X, 10/2015, Volume 40, Issue 4, pp. 969 - 991

In this paper, we study relative metric regularity of set-valued mappings with emphasis on directional metric regularity. We establish characterizations of...

generalized equations | perturbation stability | relative/directional metric regularity | semicontinuous envelope | error bound property | Generalized equations | Error bound property | Semicontinuous envelope | Perturbation stability | Relative/directional metric regularity | MATHEMATICS, APPLIED | SUFFICIENT CONDITIONS | THEOREM | STABILITY | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SYSTEMS | MAPPINGS | ERROR-BOUNDS | OPENNESS | Analysis | Mappings (Mathematics) | Mathematics | Optimization and Control

generalized equations | perturbation stability | relative/directional metric regularity | semicontinuous envelope | error bound property | Generalized equations | Error bound property | Semicontinuous envelope | Perturbation stability | Relative/directional metric regularity | MATHEMATICS, APPLIED | SUFFICIENT CONDITIONS | THEOREM | STABILITY | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SYSTEMS | MAPPINGS | ERROR-BOUNDS | OPENNESS | Analysis | Mappings (Mathematics) | Mathematics | Optimization and Control

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 12/2016, Volume 171, Issue 3, pp. 785 - 819

... Metric Regularity Huynh Van Ngai 1 · Nguyen Huu Tron 1 · Michel Théra 2,3 Received: 7 April 2015 / Accepted: 10 August 2015 / Published online: 1 September 2015...

Fréchet subdifferential | 58C06 | Ekeland variational principle | Mathematics | Theory of Computation | Optimization | Slope | Hadamard directional differentiability | 90C30 | 49J53 | Calculus of Variations and Optimal Control; Optimization | 49J52 | Generalized equation | Asplund spaces | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | Metric regularity | Hölder metric regularity | 54C60 | 47H04 | MATHEMATICS, APPLIED | STABILITY | SUBREGULARITY | Holder metric regularity | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Frechet subdifferential | MAPPINGS | ERROR-BOUNDS | OPTIMALITY CONDITIONS | OPENNESS | Studies | Mathematical models | Sensitivity analysis | Slopes | Stability | Stability analysis | Sheds | Regularity

Fréchet subdifferential | 58C06 | Ekeland variational principle | Mathematics | Theory of Computation | Optimization | Slope | Hadamard directional differentiability | 90C30 | 49J53 | Calculus of Variations and Optimal Control; Optimization | 49J52 | Generalized equation | Asplund spaces | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | Metric regularity | Hölder metric regularity | 54C60 | 47H04 | MATHEMATICS, APPLIED | STABILITY | SUBREGULARITY | Holder metric regularity | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Frechet subdifferential | MAPPINGS | ERROR-BOUNDS | OPTIMALITY CONDITIONS | OPENNESS | Studies | Mathematical models | Sensitivity analysis | Slopes | Stability | Stability analysis | Sheds | Regularity

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2012, Volume 75, Issue 3, pp. 985 - 1008

The main objective of this paper is to provide new explicit criteria to characterize weak lower semicontinuous Lyapunov pairs or functions associated to...

Differential inclusions | Maximal monotone operators | Invariance of sets | Contingent derivatives | Lower semicontinuous Lyapunov pairs and functions | Subdifferential sets | Lipschitz perturbations | MATHEMATICS, APPLIED | SUFFICIENT CONDITIONS | SPACES | STABILITY THEORY | MATHEMATICS | VIABILITY THEOREM | EVOLUTION | DYNAMICAL-SYSTEMS | SETS | FLOW-INVARIANCE | Operators | Perturbation methods | Nonlinearity | Hilbert space | Criteria | Derivatives | Differentiation | Inclusions | Mathematics | Optimization and Control

Differential inclusions | Maximal monotone operators | Invariance of sets | Contingent derivatives | Lower semicontinuous Lyapunov pairs and functions | Subdifferential sets | Lipschitz perturbations | MATHEMATICS, APPLIED | SUFFICIENT CONDITIONS | SPACES | STABILITY THEORY | MATHEMATICS | VIABILITY THEOREM | EVOLUTION | DYNAMICAL-SYSTEMS | SETS | FLOW-INVARIANCE | Operators | Perturbation methods | Nonlinearity | Hilbert space | Criteria | Derivatives | Differentiation | Inclusions | Mathematics | Optimization and Control

Journal Article

Mathematical Programming, ISSN 0025-5610, 3/2018, Volume 168, Issue 1, pp. 533 - 554

Our aim in the current article is to extend the developments in Kruger et al. (SIAM J Optim 20(6):3280–3296, 2010. doi:10.1137/100782206) and, more precisely,...

Metric subregularity | Theoretical, Mathematical and Computational Physics | Subdifferential | Error bound | Mathematics | Perturbation | Mathematical Methods in Physics | 90C30 | 49J53 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 49J52 | Numerical Analysis | Metric regularity | Combinatorics | Feasibility problem | LOWER SEMICONTINUOUS FUNCTIONS | CONVEX FEASIBILITY PROBLEMS | MATHEMATICS, APPLIED | SUBDIFFERENTIAL CALCULUS | SUFFICIENT CONDITIONS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | HOLDER METRIC SUBREGULARITY | GENERALIZED EQUATIONS | CONSTRAINT SYSTEMS | LINEAR INEQUALITIES | CONVERGENCE RATE | PROJECTION ALGORITHMS | Analysis | Management science | Banach space | Error analysis | Mathematics - Optimization and Control

Metric subregularity | Theoretical, Mathematical and Computational Physics | Subdifferential | Error bound | Mathematics | Perturbation | Mathematical Methods in Physics | 90C30 | 49J53 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 49J52 | Numerical Analysis | Metric regularity | Combinatorics | Feasibility problem | LOWER SEMICONTINUOUS FUNCTIONS | CONVEX FEASIBILITY PROBLEMS | MATHEMATICS, APPLIED | SUBDIFFERENTIAL CALCULUS | SUFFICIENT CONDITIONS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | HOLDER METRIC SUBREGULARITY | GENERALIZED EQUATIONS | CONSTRAINT SYSTEMS | LINEAR INEQUALITIES | CONVERGENCE RATE | PROJECTION ALGORITHMS | Analysis | Management science | Banach space | Error analysis | Mathematics - Optimization and Control

Journal Article

Optimization: Variational Analysis and Nonsmooth Optimization Dedicated to Professor Franco Giannessi on the occasion of his 80th birthday and to Professor Diethard Pallaschke on the occasion of his 75th birthday, ISSN 0233-1934, 06/2017, Volume 66, Issue 6, pp. 875 - 887

In this article, we establish some fixed-point (known also as critical point, invariant point) theorems in quasi-metric spaces. Our results unify and further...

Ekeland variational principle | Quasi metric | forward Cauchy sequence | forward convergence | fixed point | MATHEMATICS, APPLIED | 90C29 | EKELANDS VARIATIONAL PRINCIPLE | 54H25 | 47J30 | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | 90C30 | 49J53 | 49J52 | Theorems | Fixed points (mathematics) | Metric space | Theory | Critical point | Variational principles | Optimization

Ekeland variational principle | Quasi metric | forward Cauchy sequence | forward convergence | fixed point | MATHEMATICS, APPLIED | 90C29 | EKELANDS VARIATIONAL PRINCIPLE | 54H25 | 47J30 | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | 90C30 | 49J53 | 49J52 | Theorems | Fixed points (mathematics) | Metric space | Theory | Critical point | Variational principles | Optimization

Journal Article

SIAM journal on optimization, ISSN 1095-7189, 2014, Volume 24, Issue 1, pp. 29 - 48

Our main goal is to compute or estimate the calmness modulus of the argmin mapping of linear semi-infinite optimization problems under canonical perturbations,...

Calmness modulus | Semi-infinite programming | Variational analysis | Linear programming | Isolated calmness | MATHEMATICS, APPLIED | STABILITY | variational analysis | METRIC REGULARITY | linear programming | semi-infinite programming | ERROR-BOUNDS | calmness modulus | isolated calmness | Constraints | Mathematics | Optimization and Control

Calmness modulus | Semi-infinite programming | Variational analysis | Linear programming | Isolated calmness | MATHEMATICS, APPLIED | STABILITY | variational analysis | METRIC REGULARITY | linear programming | semi-infinite programming | ERROR-BOUNDS | calmness modulus | isolated calmness | Constraints | Mathematics | Optimization and Control

Journal Article

Mathematical Programming, ISSN 0025-5610, 3/2009, Volume 117, Issue 1, pp. 149 - 161

... condition in Banach spaces Emil Ernst · Michel Théra Received: 4 January 2006 / Accepted: 29 October 2006 / Published online: 3 August 2007 © Springer-Verlag 2007...

Mathematical and Computational Physics | Mathematics | Banach space | Convex programming | Fenchel-Legendre duality | Mathematical Methods in Physics | 90C51 | 90C46 | Mathematics of Computing | Calculus of Variations and Optimal Control; Optimization | 49K40 | Numerical Analysis | Interior point constraint qualification | Combinatorics | 46N10 | MATHEMATICS, APPLIED | CALCULUS | CONSTRAINT QUALIFICATIONS | convex programming | CONVEX-FUNCTIONS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | DUALITY | SUBDIFFERENTIALS | MONOTONE-OPERATORS | interior point constraint qualification | SUM FORMULA | Studies | Banach spaces | Mathematical programming

Mathematical and Computational Physics | Mathematics | Banach space | Convex programming | Fenchel-Legendre duality | Mathematical Methods in Physics | 90C51 | 90C46 | Mathematics of Computing | Calculus of Variations and Optimal Control; Optimization | 49K40 | Numerical Analysis | Interior point constraint qualification | Combinatorics | 46N10 | MATHEMATICS, APPLIED | CALCULUS | CONSTRAINT QUALIFICATIONS | convex programming | CONVEX-FUNCTIONS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | DUALITY | SUBDIFFERENTIALS | MONOTONE-OPERATORS | interior point constraint qualification | SUM FORMULA | Studies | Banach spaces | Mathematical programming

Journal Article

Vietnam Journal of Mathematics, ISSN 2305-221X, 9/2019, Volume 47, Issue 3, pp. 511 - 516

... 1 · Hoang Xuan Phu 2 · R. Tyrrell Rockafellar 3 · Michel Th´ era 4,5 Received: 1 April 2019 / Accepted: 2 April 2019 / Published online: 13 May 2019 © Vietnam...

Mathematics, general | Mathematics

Mathematics, general | Mathematics

Journal Article

Mycopathologia, ISSN 0301-486X, 2015, Volume 179, Issue 3-4, pp. 187 - 193

... capitis Treatment Oumar Coulibaly Mahamadou A. Thera Abdoulaye K. Kon Gota Siaka Pierre Traor Abdoulaye A. Djimd Jean-Michel Brunel Jean Gaudart Renaud Piarroux...

Dermatophytoses | Aminosterols | Topical treatment | Dermatophytes | Phase II clinical trial | Controlled clinical trial | TRICHOPHYTON-TONSURANS | CHILDREN | TERBINAFINE | GRISEOFULVIN | SCHOOLCHILDREN | MYCOLOGY | IN-VITRO ACTIVITY | Arthrodermataceae - isolation & purification | Tinea Capitis - blood | Ointments - adverse effects | Antifungal Agents - adverse effects | Cholestanols - adverse effects | Double-Blind Method | Follow-Up Studies | Arthrodermataceae - drug effects | Humans | Arthrodermataceae - classification | Male | Treatment Outcome | Arthrodermataceae - genetics | Blood Cell Count | Tinea Capitis - microbiology | Adolescent | Tinea Capitis - drug therapy | Female | Ointments - administration & dosage | Administration, Topical | Antifungal Agents - administration & dosage | Child | Cholestanols - administration & dosage | Clinical trials | Ringworm | Research | Parasitology | Applications | Methodology | Health | Probability | Mathematics | Statistics | Environmental and Society | Emerging diseases | Life Sciences | Human health and pathology | Microbiology and Parasitology | Dynamical Systems | Infectious diseases | Santé publique et épidémiologie | Ecology, environment | Environmental Sciences

Dermatophytoses | Aminosterols | Topical treatment | Dermatophytes | Phase II clinical trial | Controlled clinical trial | TRICHOPHYTON-TONSURANS | CHILDREN | TERBINAFINE | GRISEOFULVIN | SCHOOLCHILDREN | MYCOLOGY | IN-VITRO ACTIVITY | Arthrodermataceae - isolation & purification | Tinea Capitis - blood | Ointments - adverse effects | Antifungal Agents - adverse effects | Cholestanols - adverse effects | Double-Blind Method | Follow-Up Studies | Arthrodermataceae - drug effects | Humans | Arthrodermataceae - classification | Male | Treatment Outcome | Arthrodermataceae - genetics | Blood Cell Count | Tinea Capitis - microbiology | Adolescent | Tinea Capitis - drug therapy | Female | Ointments - administration & dosage | Administration, Topical | Antifungal Agents - administration & dosage | Child | Cholestanols - administration & dosage | Clinical trials | Ringworm | Research | Parasitology | Applications | Methodology | Health | Probability | Mathematics | Statistics | Environmental and Society | Emerging diseases | Life Sciences | Human health and pathology | Microbiology and Parasitology | Dynamical Systems | Infectious diseases | Santé publique et épidémiologie | Ecology, environment | Environmental Sciences

Journal Article

Mathematical Programming, ISSN 0025-5610, 5/2010, Volume 123, Issue 1, pp. 161 - 171

... · Suvendu Ranjan Pattanaik · Michel Théra Received: 7 October 2007 / Accepted: 19 July 2009 / Published online: 4 November 2009 © Springer and Mathematical Programming...

Theoretical, Mathematical and Computational Physics | Subdifferential | Nonsmooth calculus | Composite optimization | Mathematics | 90C26 | Locally Lipschitz functions | Mathematical Methods in Physics | Lagrange multiplier rule | 90C30 | 90C46 | Mathematics of Computing | Calculus of Variations and Optimal Control; Optimization | Numerical Analysis | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FUZZY | SUBDIFFERENTIALS | Mathematical optimization | Studies | Mathematical problems | Lagrange multiplier | Calculus | Optimization | Mathematical programming

Theoretical, Mathematical and Computational Physics | Subdifferential | Nonsmooth calculus | Composite optimization | Mathematics | 90C26 | Locally Lipschitz functions | Mathematical Methods in Physics | Lagrange multiplier rule | 90C30 | 90C46 | Mathematics of Computing | Calculus of Variations and Optimal Control; Optimization | Numerical Analysis | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FUZZY | SUBDIFFERENTIALS | Mathematical optimization | Studies | Mathematical problems | Lagrange multiplier | Calculus | Optimization | Mathematical programming

Journal Article

Frontiers in Neuroscience, ISSN 1662-4548, 2015, Volume 9, Issue MAY

Identification of fluorescent dyes that label the filamentous protein aggregates characteristic of neurodegenerative disease, such as beta-amyloid and tau in...

Neurofibrillary tangles | Transgenic P301S tau mouse | Fluorescent vital fibrillar tau dye | Hyperphosphorylated tau | Alzheimer's disease | Dorsal root ganglion neurons | Frontotemporal dementia (FTD) | PARKINSONISM | neurofibrillary tangles | FRONTOTEMPORAL DEMENTIA | frontotemporal dementia (FTD) | NEURODEGENERATION | TAUOPATHY | transgenic P301S tau mouse | MICROTUBULE-ASSOCIATED PROTEIN | NEUROSCIENCES | dorsal root ganglion neurons | CELL-DEATH | DISCRIMINATION | MOUSE MODEL | MUTATION | hyperphosphorylated tau | fluorescent vital fibrillar tau dye | AGGREGATION | Huntingtons disease | Haplotypes | Cell culture | Animal models | Dyes | Parkinsons disease | Fluorescent indicators | Proteins | Dorsal root ganglia | Neurodegeneration | Protein folding | Formic acid | Aging | Dorsal roots | Neurodegenerative diseases | Cortex | Transgenic mice | Investigations | Pathology | Brain research | Tau protein | β-Amyloid | Mutation | Alzheimers disease | Acetic acid | Protein structure | Apoptosis | Dementia | Alzheimer’s disease | Neurofibrillary Tangles

Neurofibrillary tangles | Transgenic P301S tau mouse | Fluorescent vital fibrillar tau dye | Hyperphosphorylated tau | Alzheimer's disease | Dorsal root ganglion neurons | Frontotemporal dementia (FTD) | PARKINSONISM | neurofibrillary tangles | FRONTOTEMPORAL DEMENTIA | frontotemporal dementia (FTD) | NEURODEGENERATION | TAUOPATHY | transgenic P301S tau mouse | MICROTUBULE-ASSOCIATED PROTEIN | NEUROSCIENCES | dorsal root ganglion neurons | CELL-DEATH | DISCRIMINATION | MOUSE MODEL | MUTATION | hyperphosphorylated tau | fluorescent vital fibrillar tau dye | AGGREGATION | Huntingtons disease | Haplotypes | Cell culture | Animal models | Dyes | Parkinsons disease | Fluorescent indicators | Proteins | Dorsal root ganglia | Neurodegeneration | Protein folding | Formic acid | Aging | Dorsal roots | Neurodegenerative diseases | Cortex | Transgenic mice | Investigations | Pathology | Brain research | Tau protein | β-Amyloid | Mutation | Alzheimers disease | Acetic acid | Protein structure | Apoptosis | Dementia | Alzheimer’s disease | Neurofibrillary Tangles

Journal Article