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Mathematical methods in systems biology
1. | School of Mathematics and Statistics, University College Dublin, Belfield, Dublin 4 |
2. | USC Stevens Neuroimaging and Informatics Institute, Keck School of Medicine of USC, University of Southern California, 2025 Zonal Ave. 208B, Los Angeles, CA 90033, United States |
3. | Statistics, School of Mathematics and Statistics University College Dublin, Ireland |
4. | Dept. of Electrical and Systems Engineering, Washington University, St. Louis, Mo 63130 |
For more information please click the “Full Text” above.
[1] |
Monique Chyba, Benedetto Piccoli. Special issue on mathematical methods in systems biology. Networks and Heterogeneous Media, 2019, 14 (1) : i-ii. doi: 10.3934/nhm.20191i |
[2] |
Avner Friedman. Conservation laws in mathematical biology. Discrete and Continuous Dynamical Systems, 2012, 32 (9) : 3081-3097. doi: 10.3934/dcds.2012.32.3081 |
[3] |
Avner Friedman. PDE problems arising in mathematical biology. Networks and Heterogeneous Media, 2012, 7 (4) : 691-703. doi: 10.3934/nhm.2012.7.691 |
[4] |
Heiko Enderling, Alexander R.A. Anderson, Mark A.J. Chaplain, Glenn W.A. Rowe. Visualisation of the numerical solution of partial differential equation systems in three space dimensions and its importance for mathematical models in biology. Mathematical Biosciences & Engineering, 2006, 3 (4) : 571-582. doi: 10.3934/mbe.2006.3.571 |
[5] |
Erika T. Camacho, Christopher M. Kribs-Zaleta, Stephen Wirkus. The mathematical and theoretical biology institute - a model of mentorship through research. Mathematical Biosciences & Engineering, 2013, 10 (5&6) : 1351-1363. doi: 10.3934/mbe.2013.10.1351 |
[6] |
Philippe G. Ciarlet, Liliana Gratie, Cristinel Mardare. Intrinsic methods in elasticity: a mathematical survey. Discrete and Continuous Dynamical Systems, 2009, 23 (1&2) : 133-164. doi: 10.3934/dcds.2009.23.133 |
[7] |
N. Bellomo, A. Bellouquid. From a class of kinetic models to the macroscopic equations for multicellular systems in biology. Discrete and Continuous Dynamical Systems - B, 2004, 4 (1) : 59-80. doi: 10.3934/dcdsb.2004.4.59 |
[8] |
Judith R. Miller, Huihui Zeng. Stability of traveling waves for systems of nonlinear integral recursions in spatial population biology. Discrete and Continuous Dynamical Systems - B, 2011, 16 (3) : 895-925. doi: 10.3934/dcdsb.2011.16.895 |
[9] |
Edward J. Allen. Derivation and computation of discrete-delay and continuous-delay SDEs in mathematical biology. Mathematical Biosciences & Engineering, 2014, 11 (3) : 403-425. doi: 10.3934/mbe.2014.11.403 |
[10] |
John D. Nagy. The Ecology and Evolutionary Biology of Cancer: A Review of Mathematical Models of Necrosis and Tumor Cell Diversity. Mathematical Biosciences & Engineering, 2005, 2 (2) : 381-418. doi: 10.3934/mbe.2005.2.381 |
[11] |
F. R. Guarguaglini, R. Natalini. Global existence and uniqueness of solutions for multidimensional weakly parabolic systems arising in chemistry and biology. Communications on Pure and Applied Analysis, 2007, 6 (1) : 287-309. doi: 10.3934/cpaa.2007.6.287 |
[12] |
Charles Wiseman, M.D.. Questions from the fourth son: A clinician reflects on immunomonitoring, surrogate markers and systems biology. Mathematical Biosciences & Engineering, 2011, 8 (2) : 279-287. doi: 10.3934/mbe.2011.8.279 |
[13] |
Weizhu Bao, Yongyong Cai. Mathematical theory and numerical methods for Bose-Einstein condensation. Kinetic and Related Models, 2013, 6 (1) : 1-135. doi: 10.3934/krm.2013.6.1 |
[14] |
Andrew J. Majda, John Harlim, Boris Gershgorin. Mathematical strategies for filtering turbulent dynamical systems. Discrete and Continuous Dynamical Systems, 2010, 27 (2) : 441-486. doi: 10.3934/dcds.2010.27.441 |
[15] |
Martin Schechter. Monotonicity methods for infinite dimensional sandwich systems. Discrete and Continuous Dynamical Systems, 2010, 28 (2) : 455-468. doi: 10.3934/dcds.2010.28.455 |
[16] |
Domokos Szász. Algebro-geometric methods for hard ball systems. Discrete and Continuous Dynamical Systems, 2008, 22 (1&2) : 427-443. doi: 10.3934/dcds.2008.22.427 |
[17] |
Ching-Shan Chou, Yong-Tao Zhang, Rui Zhao, Qing Nie. Numerical methods for stiff reaction-diffusion systems. Discrete and Continuous Dynamical Systems - B, 2007, 7 (3) : 515-525. doi: 10.3934/dcdsb.2007.7.515 |
[18] |
Laurent Desvillettes, Klemens Fellner. Entropy methods for reaction-diffusion systems. Conference Publications, 2007, 2007 (Special) : 304-312. doi: 10.3934/proc.2007.2007.304 |
[19] |
Marian Gidea, Rafael De La Llave. Topological methods in the instability problem of Hamiltonian systems. Discrete and Continuous Dynamical Systems, 2006, 14 (2) : 295-328. doi: 10.3934/dcds.2006.14.295 |
[20] |
Jacky Cresson, Bénédicte Puig, Stefanie Sonner. Stochastic models in biology and the invariance problem. Discrete and Continuous Dynamical Systems - B, 2016, 21 (7) : 2145-2168. doi: 10.3934/dcdsb.2016041 |
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