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- W4300462861 abstract "Many processes in biology involve both reactions and chemotaxis. However, to the best of our knowledge, the question of interaction between chemotaxis and reactions has not yet been addressed either analytically or numerically. We consider a model with a single density function involving diffusion, advection, chemotaxis, and absorbing reaction. The model is motivated, in particular, by studies of coral broadcast spawning, where experimental observations of the efficiency of fertilization rates significantly exceed the data obtained from numerical models that do not take chemotaxis (attraction of sperm gametes by a chemical secreted by egg gametes) into account. We prove that in the framework of our model, chemotaxis plays a crucial role. There is a rigid limit to how much the fertilization efficiency can be enhanced if there is no chemotaxis but only advection and diffusion. On the other hand, when chemotaxis is present, the fertilization rate can be arbitrarily close to being complete provided that the chemotactic attraction is sufficiently strong. Moreover, an interesting feature of the estimates on fertilization rate and timescales in the chemotactic case is that they do not depend on the amplitude of the reaction term." @default.
- W4300462861 created "2022-10-03" @default.
- W4300462861 creator A5042727145 @default.
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- W4300462861 date "2011-01-12" @default.
- W4300462861 modified "2023-09-27" @default.
- W4300462861 title "Biomixing by chemotaxis and enhancement of biological reactions" @default.
- W4300462861 doi "https://doi.org/10.48550/arxiv.1101.2440" @default.
- W4300462861 hasPublicationYear "2011" @default.
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