Ref Microfluidics and Drops

Beebe, D., G. Mensing and G. Walker (2002). Physics and applications of microfluidics in biology. Annu. Rev. Biomed. Eng. 4: 261-286.

Cohen, M., P. Brenner, J. Eggers and S. R. Nagel (1999). Two fluid drop snap-off problem: experiments and theory. I. Phys. Rev. Lett. 83: 1147.

Deegan, R. D., O. Bakajin, T. F. Dupont, G. Huber, S. R. Nagel and T. A. Witten (2000). Contact line deposits in an evaporating drop. Phys. Rev. E 62: 756.

CHAPTER NINE: CHANCY TRANSPORT (Ref: Diffusion)

A text presenting diffusion as a challenging physical problem in biological contexts: Okubo, A. (1980). Diffusion and Ecological Problems: Mathematical Models. Springer-Verlag, New York.

The classic text is Crank, J. (1975). The Mathematics of Diffusion, 2nd edn. Oxford Science Publications, Clarendon Press, Oxford. (This book is well written and starts with the basics describing the mathematical solutions of the differential equations of diffusion. Fick, in 1855, realized that transfer of heat was also due to random molecular motion, and he quantified diffusion by adopting the mathematical equation of heat conduction, so that the theory of diffusion still rests on the rate of transfer through isotropic substances. We naively assume hemolymph to be isotropic, so we can suppose the rate of transfer of a diffusing substance through the unit area of a section through hemolymph is proportional to the concentration gradient normal to the section.)

(Ref: Hardt, 1980) Transit times. In: Segal, L. A. (1980). Mathematical Models in Molecular and Cellular Biology. Cambridge University Press, Cambridge, England.

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