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Systems biology is the computational and mathematical analysis and modeling of complex biological systems. It is a biology-based interdisciplinary field of study that focuses on complex interactions within biological systems, using a holistic approach to biological research.
Mathematical and theoretical biology, or biomathematics, is a branch of biology which employs theoretical analysis, mathematical models and abstractions of the living organisms to investigate the principles that govern the structure, development and behavior of the systems, as opposed to experimental biology which deals with the conduction of experiments to prove and validate the scientific theories. The field is sometimes called mathematical biology or biomathematics to stress the mathematical side, or theoretical biology to stress the biological side. Theoretical biology focuses more on the development of theoretical principles for biology while mathematical biology focuses on the use of mathematical tools to study biological systems, even though the two terms are sometimes interchanged.
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References
- ↑ Edelstein-Keshet, Leah (2004). Murray, James D. (ed.). "Featured Review: Mathematical Biology". SIAM Review. 46 (1): 143–147. ISSN 0036-1445. JSTOR 20453477.
- ↑ Bell, Jonathan G. (1990). "Mathematical Biology (J. D. Murray)". SIAM Review. 32 (3): 487–489. doi:10.1137/1032093. ISSN 0036-1445.
- ↑ Cook, J.; Tyson, R.; White, J.; Rushe, R.; Gottman, J.; Murray, J. (1995). "Mathematics of Marital Conflict: Qualitative Dynamic Mathematical Modeling of Marital Interaction". Journal of Family Psychology. 9 (2): 110–130. doi:10.1037/0893-3200.9.2.110. S2CID 122029386.
- ↑ Gottman, J.; Swanson, C.; Murray, J. (1999). "The Mathematics of Marital Conflict: Dynamic Mathematical Nonlinear Modeling of Newlywed Marital Interaction". Journal of Family Psychology. 13 (1): 3–19. doi:10.1037/0893-3200.13.1.3. S2CID 53410111.
- ↑ Murray, J. D.; Myerscough, M. R. (1991-04-07). "Pigmentation pattern formation on snakes". Journal of Theoretical Biology. 149 (3): 339–360. doi:10.1016/S0022-5193(05)80310-8. ISSN 0022-5193.
- ↑ Sherratt, Jonathan A.; Murray, James Dickson; Clarke, Bryan Campbell (1990-07-23). "Models of epidermal wound healing". Proceedings of the Royal Society of London. Series B: Biological Sciences. 241 (1300): 29–36. doi:10.1098/rspb.1990.0061. S2CID 20717487.
- ↑ Sherratt, J. A.; Murray, J. D. (1991-04-01). "Mathematical analysis of a basic model for epidermal wound healing". Journal of Mathematical Biology. 29 (5): 389–404. doi:10.1007/BF00160468. ISSN 1432-1416. PMID 1831488. S2CID 37551844.
- ↑ Swanson, Kristin R.; Bridge, Carly; Murray, J. D.; Alvord, Ellsworth C. (2003-12-15). "Virtual and real brain tumors: using mathematical modeling to quantify glioma growth and invasion". Journal of the Neurological Sciences. 216 (1): 1–10. doi:10.1016/j.jns.2003.06.001. ISSN 0022-510X. S2CID 15744550.
- ↑ Källén, A.; Arcuri, P.; Murray, J. D. (1985-10-07). "A simple model for the spatial spread and control of rabies". Journal of Theoretical Biology. 116 (3): 377–393. doi:10.1016/S0022-5193(85)80276-9. ISSN 0022-5193. PMID 4058027.
- ↑ Maini, Philip K.; Chaplain, Mark A. J.; Lewis, Mark A.; Sherratt, Jonathan A. (2021-12-04). "Special Collection: Celebrating J.D. Murray's Contributions to Mathematical Biology". Bulletin of Mathematical Biology. 84 (1): 13. doi: 10.1007/s11538-021-00955-8 . ISSN 1522-9602. PMID 34865189. S2CID 244897975.