We consider a polymerization (fragmentation) model with size-dependent parameters involved in prion proliferation. Using power laws for the different rates of this model, we recover the shape of the polymerization rate using experimental data. The technique used is inspired from [30], where the fragmentation dependence on prion strains is investigated. Our improvement is to use power laws for t...

In this paper we give an elementary proof of the unique, global-in-time solvability of the coagulation-(multiple) fragmentation equation with polynomially bounded fragmentation and particle production rates and a bounded coagulation rate. The proof relies on a new result concerning domain invariance for the fragmentation semigroup which is based on a simple monotonicity argument.

The occurrence of gelation and the existence of mass-conserving solutions to the continuous coagulation-fragmentation equation are investigated under various assumptions on the coagulation and fragmentation rates, thereby completing the already known results. A non-uniqueness result is also established and a connection to the modified coagulation model of Flory is also made.

We have measured the differential cross sections for the production of π + , K + , K 0 , K * 0 , φ, p, Λ and their corresponding antiparticles in separate samples of flavor-tagged Z 0 → light-flavor (u¯ u, d ¯ d, or s¯ s), Z 0 → c¯ c and Z 0 → b ¯ b events. Clear flavor dependences are observed, and the results are compared with the predictions of three fragmentation models. We have also perfor...

In networks with unstable links the connection between the sender and the receiver may be cut before the entire message has been transmitted. Quantization of the message into blocks before its transmission, enables message fragments consisting of one or more such blocks to be transmitted successfully, even if the connection time is too short for transmitting the entire message. But fragmentatio...

the present study describes the fragmentation under electron ionization (ei) of gas phase serine and threonine amino acids. ab initio methods were performed to calculate the fragmentation paths and interpret the mass spectra. the six lowest energy conformers of l-serine, l-threonine and l-allo-threonine were obtained with b3lyp, g3mp2 and mp2 methods. the adiabatic and vertical ionization energ...

This study analyzed the determinants of the productivity of smallholder arable crop farmers with a particular focus on land fragmentation using the Simpson Index as measures of land fragmentation in Imo state of Nigeria. Data collected by using structured questionnaire and interview schedules were analyzed using simple descriptive statistics; Simpson index and regression analysis. Results showe...