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Mathematics

D-Index
53
Citations
7323
World Ranking
924
National Ranking
45

Overview

Alan D. Rendall is affiliated with Johannes Gutenberg University of Mainz in Germany. Their research primarily centers on the fields of Medicine and Biochemistry, Genetics and Molecular Biology, with significant contributions to related subfields such as Public Health, Environmental and Occupational Health, Molecular Biology, Modeling and Simulation, Genetics, and Hepatology.

Rendall's work extensively covers topics including Mathematical and Theoretical Epidemiology and Ecology Models, Evolution and Genetic Dynamics, Hepatitis C virus research, COVID-19 epidemiological studies, Nonlinear Dynamics and Pattern Formation, Gene Regulatory Network Analysis, and Mathematical Biology Tumor Growth.

The scientist has published papers in several notable venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • Nonlinear Analysis Real World Applications
  • Journal of Mathematical Biology
  • International Journal of Biomathematics
  • Dynamical Systems

Recent research papers by Rendall include:

  • Unbounded solutions of models for glycolysis, 2021, Journal of Mathematical Biology
  • Analysis of an initial value problem for an extracellular and intracellular model of hepatitis C virus infection, 2022, International Journal of Biomathematics
  • Global stability analysis of a delay cell-population model of hepatitis B infection with humoral immune response, 2021, Dynamical Systems
  • Dynamics of a mathematical model of virus spreading incorporating the effect of a vaccine, 2024, Nonlinear Analysis Real World Applications
  • Phenomenology of an In-host Model of Hepatitis C, 2023, Qualitative Theory of Dynamical Systems

Collaborations play a notable role in Rendall's research activity. Frequent co-authors include:

  • Alexis Nangue
  • Burcu Gürbüz
  • Aytül Gökçe
  • Pia Brechmann
  • Kammegne Tcheugam Brice

Rendall's contributions span multi-disciplinary approaches integrating mathematical modeling with biomedical applications, particularly focusing on infectious diseases such as hepatitis B and C viruses. The research through these models often involves analysis of stability, dynamics, and epidemiological implications within host-pathogen systems and vaccine impacts.

Best Publications

  • Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations

    A. D. Rendall

  • The Cauchy problem for the Einstein equations

    Helmut Friedrich;Alan D. Rendall

  • Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data

    Gerhard Rein;Alan D. Rendall

  • Quiescent cosmological singularities

    Lars Andersson;Alan D. Rendall

  • Dynamics of k-essence

    Alan D. Rendall

  • Existence and properties of spherically symmetric static fluid bodies with a given equation of state

    A.D. Rendall;Bernd G. Schmidt

  • Asymptotics of Solutions of the Einstein Equations with Positive Cosmological Constant

    Alan D. Rendall

  • Analytic description of singularities in Gowdy spacetimes

    Satyanad Kichenassamy;Alan D Rendall

  • Fuchsian analysis of singularities in Gowdy spacetimes beyond analyticity

    Alan D. Rendall

  • Kasner-Like Behaviour for Subcritical Einstein-Matter Systems

    Thibault Damour;Marc Henneaux;Alan D. Rendall;Marsha Weaver

  • Manufacture of Gowdy spacetimes with spikes

    Alan D. Rendall;Marsha Weaver

  • Theorems on Existence and Global Dynamics for the Einstein Equations.

    Alan D. Rendall

  • Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics

    Gerhard Rein;Alan D. Rendall

  • Intermediate inflation and the slow-roll approximation

    Alan D. Rendall

  • Local and Global Existence Theorems for the Einstein Equations

    Alan D. Rendall

  • The initial value problem for a class of general relativistic fluid bodies.

    A. D. Rendall

  • The Newtonian limit for asymptotically flat solutions of the Vlasov-Einstein system

    Alan D. Rendall

  • Global properties of locally spatially homogeneous cosmological models with matter

    Alan D. Rendall

  • An introduction to the Einstein-Vlasov system

    Alan D. Rendall

  • Accelerated cosmological expansion due to a scalar field whose potential has a positive lower bound

    Alan D. Rendall

  • Global dynamics of the mixmaster model

    Alan D. Rendall

Frequent Co-Authors

Gerhard Rein
Gerhard Rein University of Bayreuth
Juan J. L. Velázquez
Juan J. L. Velázquez University of Bonn
Thibault Damour
Thibault Damour Institut des Hautes Études Scientifiques
Marc Henneaux
Marc Henneaux Collège de France
Eduardo D. Sontag
Eduardo D. Sontag Northeastern University
James Isenberg
James Isenberg University of Oregon
Jeffrey Rauch
Jeffrey Rauch University of Michigan–Ann Arbor
Carsten Wiuf
Carsten Wiuf University of Copenhagen
Sergiu Klainerman
Sergiu Klainerman Princeton University
Bernold Fiedler
Bernold Fiedler Freie Universität Berlin

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