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Topic · Modeling and Simulation

Mathematical Biology Tumor Growth

Mathematical Biology Tumor Growth is a research topic within Modeling and Simulation. Science Explorer counts 15k research works in it since 1951. 16.5% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the mathematical modeling of cancer growth, tumor invasion, and treatment strategies. It covers topics such as chemotaxis, angiogenesis, cellular automaton models, multiscale modeling, drug therapy, and interactions between the immune system and tumors.

  • Mathematical Modeling
  • Cancer Growth
  • Tumor Invasion
  • Chemotaxis
  • Angiogenesis
  • Cellular Automaton
  • Multiscale Model
  • Drug Therapy
  • Immune System Interactions
  • Tumor Dynamics
Research works
15k
fractional, since 1951
In the world top 10%
2.4k
per year above
Top-10% rate
16.5%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
+24%
the tick is no change

Which countries lead Mathematical Biology Tumor Growth research?

By volume, China and the United States publish the most (861 and 484 works in 2022–2025).

By volume, 2022–2025

  1. 1 China 861 works
  2. 2 United States 484 works
  3. 3 France 154 works
  4. 4 India 131 works
  5. 5 Germany 124 works
  6. 6 Italy 124 works
  7. 7 United Kingdom 103 works
  8. 8 Russia 92 works
  9. 9 Japan 72 works
  10. 10 Spain 69 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

China: 38.9%United States: 21.9%France: 6.9%India: 5.9%6 others listed: 26.4%39%largest
China861 · 38.9%United States484 · 21.9%France154 · 6.9%India131 · 5.9%6 others listed584 · 26.4%

Shares of the rows listed above, not of the whole node.

Which institutions lead Mathematical Biology Tumor Growth research?

By volume in 2022–2025, Centre National de la Recherche Scientifique publishes the most Mathematical Biology Tumor Growth research, followed by Huazhong University of Science and Technology and Harbin Institute of Technology.

By volume, 2022–2025

  1. 1 Centre National de la Recherche ScientifiqueFrance 24 works
  2. 2 Huazhong University of Science and TechnologyChina 22 works
  3. 3 Harbin Institute of TechnologyChina 16 works
  4. 4 Paderborn UniversityGermany 16 works
  5. 5 Shandong UniversityChina 15 works
  6. 6 University of OxfordUnited Kingdom 15 works
  7. 7 Chongqing University of Posts and TelecommunicationsChina 15 works
  8. 8 Moffitt Cancer CenterUnited States 15 works
  9. 9 Sun Yat-sen UniversityChina 13 works
  10. 10 Yantai UniversityChina 12 works

Who are the leading researchers in Mathematical Biology Tumor Growth?

The most-cited researchers publishing on Mathematical Biology Tumor Growth include Stanley Osher, Tasawar Hayat and Jinde Cao.

  1. 1 Stanley Osher United States 8k citations
  2. 2 Tasawar Hayat Pakistan 4.6k citations
  3. 3 Jinde Cao China 4.2k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

Where is Mathematical Biology Tumor Growth research done?

The largest centres of Mathematical Biology Tumor Growth research in 2022–2025 are Beijing (China), Paris (France), Shanghai (China) and Guangzhou (China).

Largest cities, 2022–2025

  1. 1 Beijing China 78 works
  2. 2 Paris France 64 works
  3. 3 Shanghai China 51 works
  4. 4 Guangzhou China 50 works
  5. 5 Wuhan China 47 works
  6. 6 Chongqing China 46 works
  7. 7 Nanjing China 43 works
  8. 8 Xi'an China 42 works
  9. 9 Moscow Russia 40 works
  10. 10 Harbin China 38 works
See Mathematical Biology Tumor Growth on the map

Where is the best place to study Mathematical Biology Tumor Growth?

Among universities, judged by research, Paderborn University, Chongqing University of Posts and Telecommunications and University of Oxford score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%20%40%mean 17.46%fractional works in this node (log) →share in the world top 10% →Paderborn University: 16, 32.6%Chongqing University of Posts and Telecommunications: 15, 10.9%University of Oxford: 15, 29.2%Tokyo University of Science: 10, 10.5%Yantai University: 12, 9.2%Hong Kong Polytechnic University: 8, 28.7%Sun Yat-sen University: 13, 19.6%Southeast University: 12, 14.2%Politecnico di Torino: 10, 14.5%Huazhong University of Science and Technology: 22, 5.2%Paderborn UniversityUniversity of OxfordChongqing University…Tokyo University of …
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1 Paderborn UniversityGermany 84.532.6%38.6×16 +334.2%
2 Chongqing University of Posts and TelecommunicationsChina 53.710.9%17.7×15 —
3 University of OxfordUnited Kingdom 53.029.2%4.1×15 -1.5%
4 Tokyo University of ScienceJapan 49.910.5%15.6×10 +137.0%
5 Yantai UniversityChina 48.19.2%19.6×12 —
6 Hong Kong Polytechnic UniversityHong Kong 45.328.7%3.3×8 +32.9%
7 Sun Yat-sen UniversityChina 44.219.6%2.8×13 +159.0%
8 Southeast UniversityChina 42.014.2%3.0×12 +210.2%
9 Politecnico di TorinoItaly 39.414.5%7.5×10 -15.1%
10 Huazhong University of Science and TechnologyChina 37.25.2%4.8×22 +23.3%

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Mathematical Biology Tumor Growth research growing?

Output in 2018–2022 was 24% higher than in 2013–2017, peaking in 2025. The fastest-growing topics are Mathematical Biology Tumor Growth.

19801990200020102020
grewheldshrank

The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.