D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Engineering and Technology D-index 31 Citations 5,162 168 World Ranking 7292 National Ranking 2240

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Cancer
  • Control theory

His scientific interests lie mostly in Optimal control, Control theory, Mathematical optimization, Mathematical model and Maximum principle. Heinz Schättler mostly deals with Singular control in his studies of Optimal control. The study incorporates disciplines such as Bang–bang control and Cell cycle in addition to Singular control.

His Control theory research incorporates themes from Parameter space and Degradation. In the subject of general Mathematical optimization, his work in Exponential utility and Stochastic control is often linked to Moral hazard and Convexity, thereby combining diverse domains of study. His biological study spans a wide range of topics, including Flow, Approximations of π, Pontryagin's minimum principle, Regular polygon and Perspective.

His most cited work include:

  • Local bifurcations and feasibility regions in differential-algebraic systems (220 citations)
  • The First-Order Approach to the Continuous-Time Principal–Agent Problem with Exponential Utility (160 citations)
  • Dynamics of large constrained nonlinear systems-a taxonomy theory [power system stability] (155 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of investigation include Optimal control, Mathematical optimization, Singular control, Control theory and Cancer chemotherapy. He is involved in the study of Optimal control that focuses on Maximum principle in particular. Heinz Schättler interconnects Anti angiogenesis, Quadratic equation, Piecewise and Constant in the investigation of issues within Mathematical optimization.

His Singular control research incorporates elements of Equilibrium point, Bang–bang control, Transversality and Bone marrow. His research investigates the connection with Control theory and areas like Topology which intersect with concerns in State space. The various areas that Heinz Schättler examines in his Cancer chemotherapy study include Pharmacokinetics, Oncology and Drug.

He most often published in these fields:

  • Optimal control (61.63%)
  • Mathematical optimization (34.88%)
  • Singular control (27.33%)

What were the highlights of his more recent work (between 2013-2021)?

  • Optimal control (61.63%)
  • Singular control (27.33%)
  • Mathematical optimization (34.88%)

In recent papers he was focusing on the following fields of study:

Heinz Schättler mainly investigates Optimal control, Singular control, Mathematical optimization, Mathematical model and Cancer chemotherapy. In his study, he carries out multidisciplinary Optimal control and Homogeneous research. His Singular control study incorporates themes from Order, Interpretation and Field.

His Mathematical optimization research is multidisciplinary, incorporating elements of Bilinear interpolation and Theory of computation. The Mathematical model study combines topics in areas such as Stability, Structure, Theoretical computer science and Feature. His Immune system research focuses on Bioinformatics and how it connects with Metronomic Chemotherapy.

Between 2013 and 2021, his most popular works were:

  • Optimal Control for Mathematical Models of Cancer Therapies: An Application of Geometric Methods (96 citations)
  • Optimal control of a mathematical model for cancer chemotherapy under tumor heterogeneity. (25 citations)
  • Dynamical properties of a minimally parameterized mathematical model for metronomic chemotherapy. (16 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Cancer
  • Geometry

The scientist’s investigation covers issues in Optimal control, Singular control, Chemotherapy, Metronomic Chemotherapy and Oncology. Optimal control is a primary field of his research addressed under Mathematical optimization. Heinz Schättler focuses mostly in the field of Singular control, narrowing it down to matters related to Cancer chemotherapy and, in some cases, Tumor heterogeneity.

His work on Maximum tolerated dose as part of general Chemotherapy research is frequently linked to Homogeneous, thereby connecting diverse disciplines of science. His Immune system research is multidisciplinary, relying on both Cancer research, Cyclophosphamide and Bioinformatics. His Dimension study which covers Applied mathematics that intersects with Constant, Continuum, Equilibrium point and Stable manifold.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Local bifurcations and feasibility regions in differential-algebraic systems

V. Venkatasubramanian;H. Schattler;J. Zaborszky.
IEEE Transactions on Automatic Control (1995)

325 Citations

Geometric Optimal Control: Theory, Methods and Examples

Heinz M. Schättler;Urszula Ledzewicz.
(2012)

289 Citations

The First-Order Approach to the Continuous-Time Principal–Agent Problem with Exponential Utility

Heinz Schättler;Jaeyoung Sung.
Journal of Economic Theory (1993)

271 Citations

Geometric Optimal Control

Heinz Schättler;Urszula Ledzewicz.
(2012)

246 Citations

Dynamics of large constrained nonlinear systems-a taxonomy theory [power system stability]

V. Venkatasubramanian;H. Schattler;J. Zaborsky.
Proceedings of the IEEE (1995)

245 Citations

Optimal bang-bang controls for a two-compartment model in cancer chemotherapy

U. Ledzewicz;H. Schättler.
Journal of Optimization Theory and Applications (2002)

208 Citations

AntiAngiogenic Therapy in Cancer Treatment as an Optimal Control Problem

Urszula Ledzewicz;Heinz Schättler.
Siam Journal on Control and Optimization (2007)

204 Citations

Global voltage dynamics: study of a generator with voltage control, transmission, and matched MW load

V. Venkatasubramanian;H. Schattler;J. Zaborszky.
conference on decision and control (1990)

175 Citations

On optimal delivery of combination therapy for tumors

Alberto d’Onofrio;Urszula Ledzewicz;Helmut Maurer;Heinz Schättler.
Bellman Prize in Mathematical Biosciences (2009)

167 Citations

Optimal Control for Mathematical Models of Cancer Therapies: An Application of Geometric Methods

Heinz Schättler;Urszula Ledzewicz.
(2015)

160 Citations

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