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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. 10.2% 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%
1.5k
per year above
Top-10% rate
10.2%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+19%
the tick is no change
Largest producer
China
39% of the 10 largest, 2022-now
Mathematical Biology Tumor Growth

Which countries lead Mathematical Biology Tumor Growth research?

By volume, China and the United States publish the most (1k and 587 works in 2022-now).

By volume, 2022-now

  1. 1 China 1k works
  2. 2 United States 587 works
  3. 3 France 174 works
  4. 4 India 171 works
  5. 5 Germany 145 works
  6. 6 Italy 145 works
  7. 7 United Kingdom 120 works
  8. 8 Russia 98 works
  9. 9 Japan 86 works
  10. 10 Spain 79 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: 39.2%United States: 22.2%France: 6.6%India: 6.5%6 others listed: 25.5%39%largest
China1,034 · 39.2%United States587 · 22.2%France174 · 6.6%India171 · 6.5%6 others listed674 · 25.5%

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

Which institutions lead Mathematical Biology Tumor Growth research?

By volume in 2022-now, Centre National de la Recherche Scientifique publishes the most Mathematical Biology Tumor Growth research, followed by Russian Academy of Sciences and Huazhong University of Science and Technology.

By volume, 2022-now

  1. 1 Centre National de la Recherche ScientifiqueFrance 71 works
  2. 2 Russian Academy of SciencesRussia 29 works
  3. 3 Huazhong University of Science and TechnologyChina 25 works
  4. 4 University of OxfordUnited Kingdom 18 works
  5. 5 Harbin Institute of TechnologyChina 18 works
  6. 6 Yantai UniversityChina 17 works
  7. 7 Sun Yat-sen UniversityChina 17 works
  8. 8 Paderborn UniversityGermany 17 works
  9. 9 Moffitt Cancer CenterUnited States 17 works
  10. 10 Chongqing University of Posts and TelecommunicationsChina 16 works

Who are the leading researchers in Mathematical Biology Tumor Growth?

The most-cited researchers publishing on Mathematical Biology Tumor Growth include Guido Kroemer, Bert Vogelstein and Gad A. Getz.

  1. 1 Guido Kroemer France 386k citations
  2. 2 Bert Vogelstein United States 373k citations
  3. 3 Gad A. Getz United States 364k citations
  4. 4 Matthew M. Meyerson United States 280k citations
  5. 5 Chris Sander United States 276k citations
  6. 6 Aviv Regev United States 236k citations

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

What are the most cited papers in Mathematical Biology Tumor Growth?

The most cited paper in Mathematical Biology Tumor Growth is "Active contours without edges" (Tony Fan-Cheong Chan, Luminita A. Vese, 2001), with 10,394 citations. Next come "The Clonal Evolution of Tumor Cell Populations" (6,631) and "Biomimicry of bacterial foraging for distributed optimization and control" (3,082).

Most cited papers
#PaperReleasedCitations
1 Active contours without edges Tony Fan-Cheong Chan, Luminita A. Vese · IEEE Transactions on Image Processing 2001 10,394
2 The Clonal Evolution of Tumor Cell Populations Peter C. Nowell̀ · Science Oct 1976 6,631
3 Biomimicry of bacterial foraging for distributed optimization and control Kevin M. Passino · IEEE Control Systems Jun 2002 3,082
4 An Integrative Model of Cellular States, Plasticity, and Genetics for Glioblastoma Cyril Neftel et al. · Cell Open access 18 Jul 2019 3,048
5 Chemotaxis in Escherichia coli analysed by Three-dimensional Tracking Howard C. Berg, Douglas A. Brown · Nature Oct 1972 2,296
All 100 most cited papers, with filters and sorting

Where is Mathematical Biology Tumor Growth research done?

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

Largest cities, 2022-now

  1. 1 BeijingChina 93 works
  2. 2 ParisFrance 73 works
  3. 3 ShanghaiChina 62 works
  4. 4 GuangzhouChina 59 works
  5. 5 ChongqingChina 54 works
  6. 6 WuhanChina 52 works
  7. 7 NanjingChina 50 works
  8. 8 Xi'anChina 48 works
  9. 9 MoscowRussia 43 works
  10. 10 HarbinChina 42 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, University of Oxford and Huazhong University of Science and Technology score highest, combining citation 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 16.99%fractional works in this field (log) →share of work in the world top 10% →Paderborn UniversityHarvard UniversityUniversity of OxfordHuazhong University …
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Citation excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1Paderborn UniversityGermany 72.032.2%39.3×17 -31.0%
2University of OxfordUnited Kingdom 62.623.1%4.1×18 +9.9%
3Huazhong University of Science and TechnologyChina 54.46.2%4.4×25 +54.3%
4Harvard UniversityUnited States 52.926.8%1.4×14 +0.8%
5Hong Kong Polytechnic UniversityChina 51.217.9%3.5×9 +16.7%
6Yantai UniversityChina 50.48.8%26.4×17 +628.3%
7Harbin Institute of TechnologyChina 50.29.7%3.5×18 +55.6%
8Shanghai Jiao Tong UniversityChina 49.821.0%1.7×15 +20.0%
9Sun Yat-sen UniversityChina 48.815.6%2.6×17 +25.9%
10Chongqing University of Posts and TelecommunicationsChina 48.38.6%18.5×16 +65.2%

Universities only. The score blends citation excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Mathematical Biology Tumor Growth, country by country

Is Mathematical Biology Tumor Growth research growing?

Output in 2022-2025 was 19% higher than in 2018-2021, peaking in 2025. The fastest-growing topics are Mathematical Biology Tumor Growth.

still counting19801990200020102020
grewheldshrank

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

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Mathematical Biology Tumor Growth as a percentage of every work published that year, 0.014% in 2024.

still counting0.010%0.020%Mathematical Biology Tumor Growth0.015% in 202519801990200020102020

Fractional works of Mathematical Biology Tumor Growth over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Mathematical Biology Tumor Growth10.1% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

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.

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