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Research Article
Biomathematics: An Introduction
Shivesh Mani Tripathee1
LokeshMishra2
1IET, Dr. Shakuntala Misra National Rehabilitation University, Lucknow, India. 2Basic Science, Babasaheb Bhimrao Ambedkar University, Lucknow, India.
Published Online: January-February 2023
Pages: 170-172
Cite this article
No DOIReferences
1. Mathematical Models in Biology by Leah Edelstein-Keshethttps://doi.org/10.1137/1.9780898719147.ch11
2. L. A. Segel, (1980). Ed. Mathematical Models in Molecular and Cellular Biology, Cambridge University Press, Cambridge, England.
3. Blake, J.R. Mucus Flow. Math. Biosci.17, 301-313 (1973).
4. Vasquez, Paula &Jin, Yuan & Palmer, Erik & Hill, David & Forest, M.. (2016). Modeling and Simulation of Mucus Flow in Human
Bronchial Epithelial Cell Cultures – Part I: Idealized Axisymmetric Swirling Flow. PLOS Computational Biology. 12. E1004872.
10.1371/journal.pcbi.1004872.
5. Thiyagarajan, Padmavathi&Sathiyamoorthy, Senthamilselvi&Karuppusamy, Loganathan&Makinde, Oluwole& Sarris, Ioannis. (2022).
Mass Transfer Effects on the Mucus Fluid with Pulsatile Flow Influence of the Electromagnetic Field. Inventions.
10.3390/inventions7030050.
6. Rubenstein, David & Yin, Wei & Frame, Mary. (2022). Flow in the lungs. 10.1016/B978-0-12-818034-1.00010-4.
7. J.C. Misra, S. Samanta, A mathematical model for the biomechanics of the body of a vertebra https://doi.org/10.1016/0898-
1221(88)90078-8
8. Niederer, Peter. (2010). Mathematical Foundations of Biomechanics. Critical reviews in biomedical engineering. 38. 533-77.
10.1615/CritRevBiomedEng.v38.i6.30
9. Widmaier Eric P Hershel Raff Kevin T Strang and Arthur J Vander. 2011. Vander’s Human Physiology : TheMechanisms of Body
Function. 12th ed. New York: McGraw-Hill.
10. Rodhin, J.A.G. Ultrastructure and function of the human trachealMucosa. Am. Rev. Respir. Dis. 93, 1-15 (1966).
11. Puchelle, E., Zahm, J.M., Pollu, J.M. &Sadoul, P. Drug effect on visco- elasticity of mucus. Eur. J. Respir. Dis.61, (Supple.110), 195-
208 (1980).
2. L. A. Segel, (1980). Ed. Mathematical Models in Molecular and Cellular Biology, Cambridge University Press, Cambridge, England.
3. Blake, J.R. Mucus Flow. Math. Biosci.17, 301-313 (1973).
4. Vasquez, Paula &Jin, Yuan & Palmer, Erik & Hill, David & Forest, M.. (2016). Modeling and Simulation of Mucus Flow in Human
Bronchial Epithelial Cell Cultures – Part I: Idealized Axisymmetric Swirling Flow. PLOS Computational Biology. 12. E1004872.
10.1371/journal.pcbi.1004872.
5. Thiyagarajan, Padmavathi&Sathiyamoorthy, Senthamilselvi&Karuppusamy, Loganathan&Makinde, Oluwole& Sarris, Ioannis. (2022).
Mass Transfer Effects on the Mucus Fluid with Pulsatile Flow Influence of the Electromagnetic Field. Inventions.
10.3390/inventions7030050.
6. Rubenstein, David & Yin, Wei & Frame, Mary. (2022). Flow in the lungs. 10.1016/B978-0-12-818034-1.00010-4.
7. J.C. Misra, S. Samanta, A mathematical model for the biomechanics of the body of a vertebra https://doi.org/10.1016/0898-
1221(88)90078-8
8. Niederer, Peter. (2010). Mathematical Foundations of Biomechanics. Critical reviews in biomedical engineering. 38. 533-77.
10.1615/CritRevBiomedEng.v38.i6.30
9. Widmaier Eric P Hershel Raff Kevin T Strang and Arthur J Vander. 2011. Vander’s Human Physiology : TheMechanisms of Body
Function. 12th ed. New York: McGraw-Hill.
10. Rodhin, J.A.G. Ultrastructure and function of the human trachealMucosa. Am. Rev. Respir. Dis. 93, 1-15 (1966).
11. Puchelle, E., Zahm, J.M., Pollu, J.M. &Sadoul, P. Drug effect on visco- elasticity of mucus. Eur. J. Respir. Dis.61, (Supple.110), 195-
208 (1980).
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