Concepedia

Reaction-diffusion In Tissues

Reaction-Diffusion in Tissues is a mathematical modeling framework that describes the spatial and temporal dynamics of biochemical substances in biological tissues, where their distribution emerges from the interplay between local chemical reactions and passive diffusion across tissue domains.

145

Publications

7.4K

Citations

407

Authors

214

Institutions

Publications per year

2017–2026

24

Parents

Publications

145

Fractional calculus models of complex dynamics in biological tissues

Richard L. Magin · Computers & Mathematics with Applications · 2009 · 999 citations

, , +16

The rate of diffusion of gases through animal tissues, with some remarks on the coefficient of invasion

August Krogh · The Journal of Physiology · 1919 · 647 citations · Full text

, , +11

Models for the Growth of a Solid Tumor by Diffusion

H. P. Greenspan · Studies in Applied Mathematics · 1972 · 599 citations

, , +17

Homogenization of syncytial tissues.

John C. Neu, Wanda Krassowska · PubMed · 1993 · 213 citations

, , +13

Image Guided Personalization of Reaction-Diffusion Type Tumor Growth Models Using Modified Anisotropic Eikonal Equations

Ender Konukoglu, Olivier Clatz, Bjoern Menze et al. · IEEE Transactions on Medical Imaging · 2009 · 181 citations · Full text

, , +17

1–5 of 145

Authors

407

  1. DA
    David A. Hormuth

    The University of Texas at Austin, United States

    3 publications · 182 citations

    3

    h-index

  2. MI
    Michael I. Miga

    Vanderbilt University, United States

    3 publications · 182 citations

    3

    h-index

  3. NA
    Nicholas Ayache

    Institut national de recherche en sciences et technologies du numérique, France

    3 publications · 265 citations

    3

    h-index

  4. TE
    Thomas E. Yankeelov

    Vanderbilt University, United States

    3 publications · 182 citations

    3

    h-index

  5. JA
    Jared A. Weis

    Vanderbilt University, United States

    3 publications · 182 citations

    3

    h-index

1–5 of 407

Institutions

214

  1. Centre National de la Recherche Scientifique

    Paris, France

    11 h-index

    24 publications

    1.1K citations

  2. ETH Zurich

    Zurich, Switzerland

    6 h-index

    11 publications

    220 citations

  3. Harvard University

    Cambridge, United States

    5 h-index

    7 publications

    335 citations

  4. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    5 h-index

    17 publications

    1.3K citations

  5. Institut Camille Jordan

    Villeurbanne, France

    4 h-index

    8 publications

    506 citations

  6. Université Claude Bernard Lyon 1

    Villeurbanne, France

    4 h-index

    8 publications

    506 citations

  7. Vanderbilt University

    Nashville, United States

    4 h-index

    15 publications

    956 citations

  8. University of Illinois Chicago

    Chicago, United States

    4 h-index

    13 publications

    1.2K citations

1–8 of 214

Venues

  1. Mathematical Biosciences

    4 publications · 181 citations

    4

    h-index

  2. Journal of Theoretical Biology

    4 publications · 108 citations

    4

    h-index

  3. PubMed

    Repository · 4 publications · 311 citations

    4

    h-index

  4. 3

    h-index

  5. Mathematical Modelling of Natural Phenomena

    MMNP · 3 publications · 122 citations

    3

    h-index

1–5