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## Araujo, Robyn P.

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 Author ID: araujo.robyn-p Published as: Araujo, R. P.; Araujo, Robyn P. External Links: MGP
 Documents Indexed: 9 Publications since 2004
all top 5

#### Co-Authors

 0 single-authored 7 Mcelwain, D. L. Sean 1 Liotta, L. A. 1 Petricoin, E. F. 1 Pettet, Graeme John 1 Scheepers, Ronél 1 van Heijster, Peter

#### Serials

 3 Journal of Theoretical Biology 2 Bulletin of Mathematical Biology 2 SIAM Journal on Applied Mathematics 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics

#### Fields

 9 Biology and other natural sciences (92-XX) 3 Mechanics of deformable solids (74-XX) 2 Partial differential equations (35-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH Open

5 Publications have been cited 216 times in 180 Documents Cited by Year
A history of the study of solid tumour growth: the contribution of mathematical modelling. Zbl 1334.92187
Araujo, R. P.; McElwain, D. L. S.
2004
A mixture theory for the genesis of residual stresses in growing tissues. I: A general formulation. Zbl 1074.74043
Araujo, Robyn P.; McElwain, D. L. Sean
2005
A mixture theory for the genesis of residual stresses in growing tissues II: Solutions to the biphasic equations for a multicell spheroid. Zbl 1130.74311
Araujo, Robyn P.; McElwain, D. L. Sean
2005
A linear-elastic model of anisotropic tumour growth. Zbl 1057.92034
Araujo, R. P.; McElwain, D. L. S.
2004
The nature of the stresses induced during tissue growth. Zbl 1079.74515
Araujo, R. P.; McElwain, D. L. S.
2005
A mixture theory for the genesis of residual stresses in growing tissues. I: A general formulation. Zbl 1074.74043
Araujo, Robyn P.; McElwain, D. L. Sean
2005
A mixture theory for the genesis of residual stresses in growing tissues II: Solutions to the biphasic equations for a multicell spheroid. Zbl 1130.74311
Araujo, Robyn P.; McElwain, D. L. Sean
2005
The nature of the stresses induced during tissue growth. Zbl 1079.74515
Araujo, R. P.; McElwain, D. L. S.
2005
A history of the study of solid tumour growth: the contribution of mathematical modelling. Zbl 1334.92187
Araujo, R. P.; McElwain, D. L. S.
2004
A linear-elastic model of anisotropic tumour growth. Zbl 1057.92034
Araujo, R. P.; McElwain, D. L. S.
2004
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#### Cited by 378 Authors

 9 Byrne, Helen Mary 8 Lowengrub, John Samuel 7 Maini, Philip Kumar 7 Xu, Shihe 6 Cristini, Vittorio 6 Fasano, Antonio 6 Gandolfi, Alberto 6 Oden, John Tinsley 5 Bertuzzi, Alessandro 5 Chaplain, Mark A. J. 5 Khajanchi, Subhas 4 Anderson, Alexander R. A. 4 Bai, Meng 4 Bramson, Jonathan L. 4 Cui, Shangbin 4 Earn, David J. D. 4 Eftimie, Raluca 4 Frieboes, Hermann B. 4 Kuang, Yang 4 Lorenzi, Tommaso 4 O’Dea, Reuben D. 4 Preziosi, Luigi 4 Sinisgalli, Carmela 4 Wise, Steven M. 3 Berezansky, Leonid M. 3 Bhattacharyya, Rakhi 3 Drasdo, Dirk 3 Ghosh, Dibakar 3 Hawkins-Daarud, Andrea J. 3 Hubbard, Matthew E. 3 Idels, Lev V. 3 Komarova, Natalia L. 3 Macklin, Paul 3 Mukhopadhyay, Banibrata 3 Rocca, Elisabetta 3 Todorov, Yordan 3 Wang, Zejia 2 Alarcón, Tomás 2 Alzahrani, Ebraheem O. 2 Amoddeo, Antonino 2 Amster, Pablo 2 Araujo, Robyn P. 2 Bociu, Lorena 2 Bratus, Alexander S. 2 Chen, Yinhui 2 Collis, Joe 2 Das, Parthasakha 2 Das, Pritha 2 Degond, Pierre 2 Dushoff, Jonathan 2 Enderling, Heiko 2 Ferrari, Mauro 2 Fritz, Marvin 2 Gerlee, Philip 2 Guidoboni, Giovanna 2 Herrero, Miguel Ángel 2 Hogea, Cosmina S. 2 Lewin, Thomas D. 2 Lima, Ernesto A. B. F. 2 Liu, Zijian 2 Lolas, Georgios 2 Mcelwain, D. L. Sean 2 Moros, Eduardo G. 2 Nieto-Villar, José Manuel 2 Nürnberg, F. 2 Painter, Kevin J. 2 Perthame, Benoît 2 Prudhomme, Serge 2 Quaranta, Vito 2 Rejniak, Katarzyna A. 2 Rihan, Fathalla A. 2 Sacco, Riccardo 2 Shangerganesh, Lingeshwaran 2 Song, Huijuan 2 Sowndarrajan, Puthur Thangaraj 2 Tindall, Marcus J. 2 Tosin, Andrea 2 van der Zee, Kristoffer George 2 Vauchelet, Nicolas 2 Waters, Sarah Louise 2 Wohlmuth, Barbara I. 2 Zhang, Fangwei 2 Zheng, Jiayue 2 Zhuang, Yuehong 1 Abdeen, Mostafa A. M. 1 Abdelrahman, D. H. 1 Addison-Smith, B. 1 Agop, Maricel 1 Agrawal, Tanuja 1 Al-Maskari, F. 1 Alam, Meraj 1 Alfonso, Juan Carlos López 1 Alkhajeh, A. S. 1 Alsheri, Ahuod 1 Andasari, Vivi 1 Anjos, Rita C. 1 Antipov, A. V. 1 Armstrong, Nicola J. 1 Asiri, Asim M. 1 Bakiler, A. Derya ...and 278 more Authors
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#### Cited in 67 Serials

 20 Journal of Theoretical Biology 16 Journal of Mathematical Biology 16 Bulletin of Mathematical Biology 12 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Nonlinear Analysis. Real World Applications 6 Discrete and Continuous Dynamical Systems. Series B 5 Mathematical Modelling of Natural Phenomena 4 Computers & Mathematics with Applications 4 Journal of Mathematical Analysis and Applications 4 Applied Mathematics and Computation 4 Mathematical and Computer Modelling 4 European Journal of Applied Mathematics 3 Mathematical Biosciences 3 Optimal Control Applications & Methods 3 Computational & Mathematical Methods in Medicine 3 International Journal of Biomathematics 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Statistical Physics 2 Physica A 2 Quarterly of Applied Mathematics 2 Applied Mathematics Letters 2 Journal of Scientific Computing 2 SIAM Journal on Applied Mathematics 2 SIAM Review 2 Journal of Computer and Systems Sciences International 2 Computational and Applied Mathematics 2 Chaos 2 Archives of Computational Methods in Engineering 2 Journal of Applied Mathematics 2 Journal of Biological Dynamics 1 Archive for Rational Mechanics and Analysis 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Optimization 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Optimization 1 Applied Mathematical Modelling 1 Journal of Elasticity 1 Journal of Nonlinear Science 1 Russian Mathematics 1 Mathematical Population Studies 1 Mathematics and Mechanics of Solids 1 Computing and Visualization in Science 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Mathematical and Computer Modelling of Dynamical Systems 1 Interfaces and Free Boundaries 1 Journal of Biological Systems 1 Journal of Applied Mathematics and Computing 1 Theoretical and Applied Mechanics 1 Boundary Value Problems 1 Networks and Heterogeneous Media 1 Nonlinear Analysis. Hybrid Systems 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 International Journal of Differential Equations 1 International Journal for Numerical Methods in Biomedical Engineering
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#### Cited in 19 Fields

 166 Biology and other natural sciences (92-XX) 76 Partial differential equations (35-XX) 26 Ordinary differential equations (34-XX) 22 Numerical analysis (65-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 15 Mechanics of deformable solids (74-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Probability theory and stochastic processes (60-XX) 12 Systems theory; control (93-XX) 7 Fluid mechanics (76-XX) 5 Statistics (62-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 Optics, electromagnetic theory (78-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)