Dirk Horstmann

3.9k total citations · 2 hit papers
42 papers, 2.6k citations indexed

About

Dirk Horstmann is a scholar working on Modeling and Simulation, Epidemiology and Infectious Diseases. According to data from OpenAlex, Dirk Horstmann has authored 42 papers receiving a total of 2.6k indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Modeling and Simulation, 11 papers in Epidemiology and 10 papers in Infectious Diseases. Recurrent topics in Dirk Horstmann's work include Mathematical Biology Tumor Growth (14 papers), Gene Regulatory Network Analysis (9 papers) and Viral Infections and Immunology Research (8 papers). Dirk Horstmann is often cited by papers focused on Mathematical Biology Tumor Growth (14 papers), Gene Regulatory Network Analysis (9 papers) and Viral Infections and Immunology Research (8 papers). Dirk Horstmann collaborates with scholars based in Germany, United States and United Kingdom. Dirk Horstmann's co-authors include Michael Winkler, Guofang Wang, Hans G. Othmer, Kevin J. Painter, James M. Meegan, James T. Riordan, M. C. Payne, J E Banatvala, Dmitri Kuzmin and A. Yu. Sokolov and has published in prestigious journals such as New England Journal of Medicine, JAMA and Clinical Infectious Diseases.

In The Last Decade

Dirk Horstmann

41 papers receiving 2.3k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Boundedness vs. blow-up in a chemotaxis system

2004 757 citations Dirk Horstmann, Michael Winkler Journal of Differential Equations profile →
From 1970 until present: the Keller-Segel model in chemotaxis and its consequences

2003 621 citations Dirk Horstmann profile →

Peers

Countries citing papers authored by Dirk Horstmann

Since Specialization

Citations

This map shows the geographic impact of Dirk Horstmann's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Dirk Horstmann with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Dirk Horstmann more than expected).

Fields of papers citing papers by Dirk Horstmann

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Dirk Horstmann. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Dirk Horstmann. The network helps show where Dirk Horstmann may publish in the future.

Co-authorship network of co-authors of Dirk Horstmann

This figure shows the co-authorship network connecting the top 25 collaborators of Dirk Horstmann. A scholar is included among the top collaborators of Dirk Horstmann based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Dirk Horstmann. Dirk Horstmann is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Do some chemotaxis-growth models possess Lyapunov functionals? 2015 ·Applied Mathematics Letters ·Dirk Horstmann	1
2	Neurological involvement in children with E. coli O104:H4-induced hemolytic uremic syndrome 2014 ·Pediatric Nephrology ·(unknown), Sebastian Loos, (unknown), Dirk Horstmann, Frank Donnerstag, (unknown), Georg Hillebrand, Ulrike Löbel, Lars Pape, Dieter Haffner, Carola Bindt, Thurid Ahlenstiel, Anette Melk, A. Lehnhardt, Markus J. Kemper, Jun Oh, Hans Hartmann	26
3	A positivity-preserving finite element method for chemotaxis problems in 3D 2012 ·Journal of Computational and Applied Mathematics ·(unknown), A. Yu. Sokolov, Dmitri Kuzmin, Dirk Horstmann, Stefan Turek	46
4	Uniqueness and symmetry of equilibria in a chemotaxis model 2011 ·Journal für die reine und angewandte Mathematik (Crelles Journal) ·Dirk Horstmann, Marcello Lucia	8
5	Single-well In-situ Measurement of Residual Oil Saturation after an EOR Chemical Flood 2010 ·(unknown), Dirk Horstmann, (unknown), John Edwards, Raghu Ramamoorthy, Thomas J. McDonald, D.A. Bradley, Cosan Ayan, (unknown), (unknown)	12
6	Generalizing the Keller–Segel Model: Lyapunov Functionals, Steady State Analysis, and Blow-Up Results for Multi-species Chemotaxis Models in the Presence of Attraction and Repulsion Between Competitive Interacting Species 2010 ·Journal of Nonlinear Science ·Dirk Horstmann	123
7	On some cross-diffusion models in population dynamics and their connections to well-posed filters in signal enhancement processes 2005 ·IMA Journal of Applied Mathematics ·Dirk Horstmann	1
8	Boundedness vs. blow-up in a chemotaxis system breakdown → 2004 ·Journal of Differential Equations ·Dirk Horstmann, Michael Winkler	757
9	Aggregation under local reinforcement: From lattice to continuum 2004 ·European Journal of Applied Mathematics ·Dirk Horstmann, Kevin J. Painter, Hans G. Othmer	28
10	On the existence of radially symmetric blow-up solutions for the Keller-Segel model 2002 ·Journal of Mathematical Biology ·Dirk Horstmann	42
11	A note on comparison principles for viscosity solutions of fully nonlinear second order partial differential equations 1999 ·Hokkaido Mathematical Journal ·Dirk Horstmann	1
12	Control of Poliomyelitis: A Continuing Paradox 1982 ·The Journal of Infectious Diseases ·Dirk Horstmann	28
13	Viral Vaccines and Their Ways. The Maxwell Finland Lecture 1979 ·Clinical Infectious Diseases ·Dirk Horstmann	14
14	Large-scale production of rubella precipitinogens and their use in the diagnostic laboratory 1975 ·Journal of Clinical Microbiology ·R. Cappel, Ann Schluederberg, Dirk Horstmann	4
15	Rubella: The Challenge of Its Control 1971 ·The Journal of Infectious Diseases ·Dirk Horstmann	37
16	Myxovirus Infections and Respiratory Illnesses in Children 1963 ·Clinical Pediatrics ·Dirk Horstmann, (unknown)	2
17	The 1961 Middletown Oral Poliovirus Vaccine Program. II. Scope, planning, and initial steps. 1962 ·PubMed ·R. J. Pearson, David Miller, (unknown), A. M.-M. Payne, John R. Paul, Dirk Horstmann	1
18	Immunization of Preschool Children with Oral Poliovirus Vaccine (Sabin) 1961 ·JAMA ·Dirk Horstmann	24
19	THE DETECTION OF POLIOVIRUS AND OTHER ENTERIC VIRUSES IN FLIES: RESULTS OF TESTS CARRIED OUT DURING AN ORAL POLIOVIRUS VACCINE TRIAL1 1961 ·American Journal of Epidemiology ·John T. Riordan, John R. Paul, (unknown), Dirk Horstmann	5
20	Poliomyelitis Virus in Human Blood During the "Minor Illness" and the Asymptomatic Infection. 1953 ·Experimental Biology and Medicine ·Dirk Horstmann, R. W. McCollum	16

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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