Catálogo de publicaciones - libros
Plant Electrophysiology: Theory and Methods
Alexander G. Volkov (eds.)
Resumen/Descripción – provisto por la editorial
No disponible.
Palabras clave – provistas por la editorial
Plant Physiology; Plant Biochemistry; Biological Techniques; Cell Biology; Plant Sciences
Disponibilidad
| Institución detectada | Año de publicación | Navegá | Descargá | Solicitá |
|---|---|---|---|---|
| No detectada | 2006 | SpringerLink |
Información
Tipo de recurso:
libros
ISBN impreso
978-3-540-32717-2
ISBN electrónico
978-3-540-37843-3
Editor responsable
Springer Nature
País de edición
Reino Unido
Fecha de publicación
2006
Información sobre derechos de publicación
© Springer-Verlag Berlin Heidelberg 2006
Cobertura temática
Tabla de contenidos
Historical Introduction to Plant Electrophysiology
Rainer Stahlberg
The classical invariant theory from the 19th century is used to determine a complete system of 3rd order invariants on a surface in three-space. The invariant ring has 18 generators and the ideal of syzygies has 65 generators. The invariants are expressed as polynomials in the components of the first fundamental form, the second fundamental form and the covariant derivative of the latter, or in the case of an implicitly defined surface — = (0) — as polynomials in the partial derivatives of up to order three.
As an application some commonly used fairings measures are written in invariant form. It is shown that the ridges and the subparabolic curve of a surface are the zero set of invariant functions and it is finally shown that the Darboux classification of umbilical points can be given in terms of two invariants.
Part I - Methods of Plant Electrophysiology | Pp. 3-14
Electrochemical Methods and Measuring Transmembrane Ion Gradients
Anthony J. Miller; Darren M. Wells
The classical invariant theory from the 19th century is used to determine a complete system of 3rd order invariants on a surface in three-space. The invariant ring has 18 generators and the ideal of syzygies has 65 generators. The invariants are expressed as polynomials in the components of the first fundamental form, the second fundamental form and the covariant derivative of the latter, or in the case of an implicitly defined surface — = (0) — as polynomials in the partial derivatives of up to order three.
As an application some commonly used fairings measures are written in invariant form. It is shown that the ridges and the subparabolic curve of a surface are the zero set of invariant functions and it is finally shown that the Darboux classification of umbilical points can be given in terms of two invariants.
Part I - Methods of Plant Electrophysiology | Pp. 15-34
Non-Invasive Microelectrode Ion Flux Measurements In Plant Stress Physiology
Sergey Shabala
The classical invariant theory from the 19th century is used to determine a complete system of 3rd order invariants on a surface in three-space. The invariant ring has 18 generators and the ideal of syzygies has 65 generators. The invariants are expressed as polynomials in the components of the first fundamental form, the second fundamental form and the covariant derivative of the latter, or in the case of an implicitly defined surface — = (0) — as polynomials in the partial derivatives of up to order three.
As an application some commonly used fairings measures are written in invariant form. It is shown that the ridges and the subparabolic curve of a surface are the zero set of invariant functions and it is finally shown that the Darboux classification of umbilical points can be given in terms of two invariants.
Part I - Methods of Plant Electrophysiology | Pp. 35-71
Electrochemical Sensor Applications to the Study of Molecular Physiology and Analyte Flux in Plants
Mark A. Messerli; Kenneth R. Robinson; Peter J. S. Smith
The classical invariant theory from the 19th century is used to determine a complete system of 3rd order invariants on a surface in three-space. The invariant ring has 18 generators and the ideal of syzygies has 65 generators. The invariants are expressed as polynomials in the components of the first fundamental form, the second fundamental form and the covariant derivative of the latter, or in the case of an implicitly defined surface — = (0) — as polynomials in the partial derivatives of up to order three.
As an application some commonly used fairings measures are written in invariant form. It is shown that the ridges and the subparabolic curve of a surface are the zero set of invariant functions and it is finally shown that the Darboux classification of umbilical points can be given in terms of two invariants.
Part I - Methods of Plant Electrophysiology | Pp. 73-107
Use of Non-Invasive Ion-Selective Microelectrode Techniques for the Study of Plant Development
Joseph G. Kunkel; Sofia Cordeiro; Yu (Jeff) Xu; Alan M. Shipley; José A. Feijó
The classical invariant theory from the 19th century is used to determine a complete system of 3rd order invariants on a surface in three-space. The invariant ring has 18 generators and the ideal of syzygies has 65 generators. The invariants are expressed as polynomials in the components of the first fundamental form, the second fundamental form and the covariant derivative of the latter, or in the case of an implicitly defined surface — = (0) — as polynomials in the partial derivatives of up to order three.
As an application some commonly used fairings measures are written in invariant form. It is shown that the ridges and the subparabolic curve of a surface are the zero set of invariant functions and it is finally shown that the Darboux classification of umbilical points can be given in terms of two invariants.
Part I - Methods of Plant Electrophysiology | Pp. 109-137
Use of Double Barrel Micropipettes to Voltage-Clamp Plant and Fungal Cells
Roger R. Lew
The classical invariant theory from the 19th century is used to determine a complete system of 3rd order invariants on a surface in three-space. The invariant ring has 18 generators and the ideal of syzygies has 65 generators. The invariants are expressed as polynomials in the components of the first fundamental form, the second fundamental form and the covariant derivative of the latter, or in the case of an implicitly defined surface — = (0) — as polynomials in the partial derivatives of up to order three.
As an application some commonly used fairings measures are written in invariant form. It is shown that the ridges and the subparabolic curve of a surface are the zero set of invariant functions and it is finally shown that the Darboux classification of umbilical points can be given in terms of two invariants.
Part I - Methods of Plant Electrophysiology | Pp. 139-154
New Solid State Microsensors in Plant Physiology
Stefano Mancuso; Anna Maria Marras
The classical invariant theory from the 19th century is used to determine a complete system of 3rd order invariants on a surface in three-space. The invariant ring has 18 generators and the ideal of syzygies has 65 generators. The invariants are expressed as polynomials in the components of the first fundamental form, the second fundamental form and the covariant derivative of the latter, or in the case of an implicitly defined surface — = (0) — as polynomials in the partial derivatives of up to order three.
As an application some commonly used fairings measures are written in invariant form. It is shown that the ridges and the subparabolic curve of a surface are the zero set of invariant functions and it is finally shown that the Darboux classification of umbilical points can be given in terms of two invariants.
Part I - Methods of Plant Electrophysiology | Pp. 155-171
Electrophysiological Characterization of Plant Cation Channels
Vadim Demidchik; Anatoly Sokolik; Vladimir Yurin
The classical invariant theory from the 19th century is used to determine a complete system of 3rd order invariants on a surface in three-space. The invariant ring has 18 generators and the ideal of syzygies has 65 generators. The invariants are expressed as polynomials in the components of the first fundamental form, the second fundamental form and the covariant derivative of the latter, or in the case of an implicitly defined surface — = (0) — as polynomials in the partial derivatives of up to order three.
As an application some commonly used fairings measures are written in invariant form. It is shown that the ridges and the subparabolic curve of a surface are the zero set of invariant functions and it is finally shown that the Darboux classification of umbilical points can be given in terms of two invariants.
Part I - Methods of Plant Electrophysiology | Pp. 173-185
Magnetic Measurements in Plant Electrophysiology
Zvonko Trontelj; Gerhard Thiel; Vojko Jazbinsek
The classical invariant theory from the 19th century is used to determine a complete system of 3rd order invariants on a surface in three-space. The invariant ring has 18 generators and the ideal of syzygies has 65 generators. The invariants are expressed as polynomials in the components of the first fundamental form, the second fundamental form and the covariant derivative of the latter, or in the case of an implicitly defined surface — = (0) — as polynomials in the partial derivatives of up to order three.
As an application some commonly used fairings measures are written in invariant form. It is shown that the ridges and the subparabolic curve of a surface are the zero set of invariant functions and it is finally shown that the Darboux classification of umbilical points can be given in terms of two invariants.
Part I - Methods of Plant Electrophysiology | Pp. 187-218
Electrogenic Pumps
Roger M. Spanswick
The classical invariant theory from the 19th century is used to determine a complete system of 3rd order invariants on a surface in three-space. The invariant ring has 18 generators and the ideal of syzygies has 65 generators. The invariants are expressed as polynomials in the components of the first fundamental form, the second fundamental form and the covariant derivative of the latter, or in the case of an implicitly defined surface — = (0) — as polynomials in the partial derivatives of up to order three.
As an application some commonly used fairings measures are written in invariant form. It is shown that the ridges and the subparabolic curve of a surface are the zero set of invariant functions and it is finally shown that the Darboux classification of umbilical points can be given in terms of two invariants.
Part II - Plant Electrophysiology | Pp. 221-246