Computing Naturally in the Billiard Ball Model

Fredkin's Billiard Ball Model (BBM) is considered one of the fundamental models of collision-based computing, and it is essentially based on elastic collisions of mobile billiard balls. Moreover, fixed mirrors or reflectors are brought into the model to deflect balls to complete the computation. However, the use of fixed mirrors is "physically unrealistic" and makes the BBM not perfectly momentum conserving from a physical point of view, and it imposes an external architecture onto the computing substrate which is not consistent with the concept of "architectureless" in collision-based computing. In our initial attempt to reduce mirrors in the BBM, we present a class of gates: the m-counting gate, and show that certain circuits can be realized with few mirrors using this gate. We envisage that our findings can be useful in future research of collision-based computing in novel chemical and optical computing substrates.Comment: 10 pages, 7 figure

Dynamics of insulin release and microtubular-microfilamentous system. II. Effect of vincristine.

In order to document the participation of microtubules in the dynamics of insulin release, the secretory response of the isolated perfused rat pancreas was measured after various times of exposure to vincristine (2.10-5M). After a short exposure time (25 min), both phases of glucose-induced insulin release were increased. After longer pretreatment (60 min), this facilitating effect disappeared and a slight, insignificant reduction of both phases of the secretory response to glucose was observed. A still longer exposure time (120 min) provoked a more marked and significant inhibition of the early and late phases of insulin release. The same enhancing effect after short pretreatment with vincristine was noticed when gliclazide was used as the insulinotropic agent. The ultrastructural studies indicated a progressive disappearance of microtubules concomitantly with an increase in number and size of vincristine-induced paracrystalline deposits. These findings suggest that microtubules indeed participate in the dynamics of insulin release, a reduction of both phases of insulin secretion being caused by an extended disruption of the microtubular apparatus, whereas a more limited disturbance of the microtubular system appears to be associated with facilitated insulin release in response to either glucose or sulfonylurea. © 1974 Springer-Verlag.In VitroJournal ArticleSCOPUS: ar.jinfo:eu-repo/semantics/publishe