Abstract
In this chapter we develop the mathematics of conservation laws for concentration of species. Such laws are used in many biological processes. Two quite different examples will be given. The first example is about age structure of cells in connection with targeted therapeutics of cancer . The second example is concerned with the alarming spread of antibiotic resistance of organisms in hospitals.
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Gustafsson, B., Kreiss, H.-O., Oliger, J.: Time-Dependent Problems and Difference Methods, vol. 121. Wiley, New York (2013)
LeVeque, R.J., Le Veque, R.J.: Numerical Methods for Conservation Laws, vol. 132. Springer, New York (1992)
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Friedman, A., Kao, CY. (2014). Conservation Laws. In: Mathematical Modeling of Biological Processes. Lecture Notes on Mathematical Modelling in the Life Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-08314-8_8
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DOI: https://doi.org/10.1007/978-3-319-08314-8_8
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08313-1
Online ISBN: 978-3-319-08314-8
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