抗原变异可使得多种致病微生物易于逃避宿主免疫应答。表达在感染红细胞表面的恶性疟原虫红细胞表面蛋白1（PfPMP1）与感染红细胞、内皮细胞、树突状细胞以及胎盘的单个或多个受体作用，在黏附及免疫逃避中起关键的作用。每个单倍体基因组var基因家族编码约60种成员，通过启动转录不同的var基因变异体为抗原变异提供了分子基础。

疟原虫var基因转换速率变化导致抗原变异[英]／Paul H, Robert P, Christodoulou Z, et al//Proc Natl Acad Sci U S A

to be done in this area. Face recognition is a problem that scarcely clamoured for attention before the computer age but, having surfaced, has involved a wide range of techniques and has attracted the attention of some fine minds (David Mumford was a Fields Medallist in 1974). This singular application of mathematical modelling to a messy applied problem of obvious utility and importance but with no unique solution is a pretty one to share with students: perhaps, returning to the source of our opening quotation, we may invert Duncan's earlier observation, 'There is an art to find the mind's construction in the face!'.

Linear and nonlinear waves, by G. B. Whitham. Pp.636. £50. 1999. ISBN 0 471 35942 4 (Wiley).

Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves

Dynamic fracture mechanics

A large variety of geophysical phenomena can be considered examples of gravity currents, normally thought of as the horizontal or quasihorizontal penetration of a light fluid by a plume of denser fluid. In Gravity Currents in the Environment and the Laboratory, Simpson discusses both the basic physics and real-world applications of gravity currents and related phenomena such as hydraulic jumps, undular bores, and the spread of buoyant plumes.

This book is a considerable expansion of an earlier edition published a decade ago and represents the accumulated wisdom of a career devoted to observation and laboratory simulation of small-scale environmental fluid mechanical phenomena. The result can be recommended enthusiastically both to experts in the field and readers who have more general interests in meteorology, oceanography, or other areas of fluid mechanics.

https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/98EO00052

Gravity Currents in the Environment and the Laboratory

Sea spray is the main source of aerosols above the ocean. One of the pathways for sea spray production is through bubble bursting which ejects myriads of droplets. We present a detailed description of the velocity of jets formed by bubble bursting, obtained through extensive comparison between experimental results and numerical simulations for a wide range of physical parameters. We discuss the importance of the shape of the cavity on the jet velocity and the regime of parameters for which drop ejection is observed. We present a phenomenological formula that predicts the jet velocity for the full range of parameters and compare it to a theoretical prediction based on curvature reversal. The results are then discussed in light of their fundamental applications in the understanding of the phenomena.

Dynamics of jets produced by bursting bubbles

Bubbles at a free surface usually burst in ejecting myriads of droplets. Focusing on the bubble bursting jet, prelude for these aerosols, we propose a simple scaling for the jet velocity and we unravel experimentally the intricate roles of bubble shape, capillary waves, gravity, and liquid properties. We demonstrate that droplets ejection unexpectedly changes with liquid properties. In particular, using damping action of viscosity, self-similar collapse can be sheltered from capillary ripples and continue closer to the singular limit, therefore producing faster and smaller droplets. These results pave the road to the control of the bursting bubble aerosols.

/pdf/on-the-physics-of-fizziness-how-bubble-bursting-controls-5f31w262ob.pdf

On the physics of fizziness: How bubble bursting controls droplets ejection

We investigate experimentally the jet formed by the collapse of a cavity created by the impact of a drop on a pool of the same aqueous liquid. We show that jets can emerge with very different shapes and velocities, depending on the impact parameters, thus generating droplets with various initial sizes and velocities. After presenting the jet velocity and top drop radius variation as a function of the impact parameters, we discuss the influence of the liquid parameters on the jet velocity. This allows us to define two different regimes: the singular jet and the cavity jet regimes, where the mechanisms leading to the cavity retraction and subsequent jet dynamics are drastically different. In particular, we demonstrate that in the first regime, a singular capillary wave collapse sparks the whole jet dynamics, making the jet's fast, thin, liquid parameters dependent and barely reproducible. On the contrary, in the cavity jet regime, defined for higher impact Froude numbers, the jets are fat and slow. We show that jet velocity is simply proportional to the capillary velocity √ (γ/ρ l D d) , where γ is the liquid surface tension, ρ l the liquid density, and D d the impacting drop diameter, and it is in particular independent of viscosity, impact velocity, and gravity, even though the cavity is larger than the capillary length. Finally, we demonstrate that capillary wave collapse and cavity retraction are correlated in the singular regime and decorrelated in the cavity jet regime.

/pdf/jet-dynamics-post-drop-impact-on-a-deep-pool-58iv3ghzv4.pdf

Jet dynamics post drop impact on a deep pool

A scaling law is found for the drop on the top of the jet that arises when a bubble bursts.

https://hal.archives-ouvertes.fr/hal-01447485/document

Size of the top jet drop produced by bubble bursting

This paper is dedicated to the solidification of a water drop impacting a cold solid surface. In the first part, we establish a one-dimensional (1-D) solidification model, derived from the Stefan problem, that aims at predicting the freezing dynamics of a liquid on a cold substrate, taking into account the thermal properties of this substrate. This model is then experimentally validated through a 1-D solidification set-up, using different liquids and substrates. In the second part, we show that during the actual drop spreading, a thin layer of ice develops between the water and the substrate and pins the contact line at its edge when the drop reaches its maximal diameter. The liquid film then remains still on the ice and keeps freezing. This configuration lasts until the contact line eventually unpins and the liquid film retracts on the ice. We measure and interpret this crucial time of freezing during which the main ice layer is built. Finally, we compare our 1-D model prediction to the thickness of this ice pancake and we find a very good agreement. This allows us to provide a general expression for the frozen drop’s main thickness, using the drop’s impact and liquid parameters.

Solidification dynamics of an impacted drop

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