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- Raphael Cerf
- 2012

The goal of this work is to propose a finite population counterpart to Eigen’s model, which incorporates stochastic effects. We consider a Moran model describing the evolution of a population of size m of chromosomes of length l over an alphabet of cardinality κ. The mutation probability per locus is q. We deal only with the sharp peak landscape: the… (More)

- Raphael Cerf
- 2012

We pursue the task of developing a finite population counterpart to Eigen’s model. We consider the classical Wright–Fisher model describing the evolution of a population of size m of chromosomes of length l over an alphabet of cardinality κ. The mutation probability per locus is q. The replication rate is σ > 1 for the master sequence and 1 for the other… (More)

We give an alternative proof to the well known fact that each convex compact centrally symmetric subset of R2 containing the origin is a zonoid, i.e., the range of a two dimensional vector measure, and we prove that a two dimensional zonoid whose boundary contains the origin is strictly convex if and only if it is the range of a Chebyshev measure. We give a… (More)

- Y. Robach, Bernard Michels, Raphael Cerf, Jacqueline Braunwald, F Tripier-Darcy
- Proceedings of the National Academy of Sciences…
- 1983

The structural fluctuations specific to self-assemblies of biological molecules have been investigated further with ultrasonic techniques by using frog virus 3 (FV3). We compared the ultrasonic properties of complete FV3 virions and of several subparticles that may be obtained from this DNA virus: (i) the central nucleoprotein core versus its component DNA… (More)

- Raphael Cerf, Bernard Michels, Jacqueline A Schulz, Jean Witz, Ph. Pfeiffer, Ludwig Hirth
- Proceedings of the National Academy of Sciences…
- 1979

When the coat protein of the small icosahedral virus, brome mosaic virus, reassembles into capsids, the ultrasonic absorption of the solution greatly increases. Submitting the solution to an ultrasonic field thus appears to reveal spontaneous molecular motions within a protein assembly. Confirmatory evidence of a dynamics of a protein shell comes from… (More)

- Bernard Michels, Y. Dormoy, Raphael Cerf, Jacqueline A Schulz, Jean Witz
- Journal of molecular biology
- 1985

The structural fluctuations specific to self-assembled biological systems have been investigated further with ultrasonic techniques by using two strains of tobacco mosaic virus (TMV), as well as the helical aggregate of the common strain protein and subassemblies of it. We confirmed our earlier conclusion that protein assemblies exhibit specific structural… (More)

- Kalenda Mutombo, Bernard Michels, Helmut-Werner Ott, Raphael Cerf, Jean Witz
- Biochimie
- 1993

The thermal stability of virions present in purified suspensions of three tymoviruses, turnip yellow mosaic virus (TYMV), belladonna mottle virus (BelMV) and eggplant mosaic virus (EMV) was investigated by microcalorimetry. Virions are less stable than natural empty shells at 4.5 < or = pH < or = 8.5. Polyvalent cations present in TYMV stabilize the virions… (More)

We consider the Moran model on the sharp peak landscape, in the asymptotic regime studied in [3], where a quasispecies is formed. We find explicitly the distribution of this quasispecies.

- Kalenda Mutombo, Bernard Michels, Helmut-Werner Ott, Raphael Cerf, Jean Witz
- European Biophysics Journal
- 1992

The thermal denaturation of the common strain of a rod-shaped plant virus, tobacco mosaic virus, has been investigated by differential scanning calorimetry, and compared to that of various aggregation states of its coat protein and to that of three other TMV strains. The state of the virions was monitored by electron microscopy and analytical… (More)

- Bernard Michels, Neil Fazel, Raphael Cerf
- European Biophysics Journal
- 1989

Ultrasonic and calorimetric studies of small homogenously-sized DMPC unilamellar vesicles showed two thermal transitions at temperatures T c1 and T c2 (T c2 ≥T c1 ); T c2 is close to the phase transition temperature, T c , of large vesicles. The process at T c2 is not a fusion of vesicles and is interpreted as characterizing an order-disorder transition… (More)