Slices of parameter space for meromorphic maps with two asymptotic values

This paper is part of a program to understand the parameter spaces of dynamical systems generated by meromorphic functions with finitely many singular values. We give a full description of the parameter space for a specific family based on the exponential function that has precisely two finite asymptotic values and one attracting fixed point. It represents a step beyond the previous work by Goldberg and Keen [The mapping class group of a generic quadratic rational map and automorphisms of the 2-shift. Invent. Math.101(2) (1990), 335–372] on degree two rational functions with analogous constraints: two critical values and an attracting fixed point. What is interesting and promising for pushing the general program even further is that, despite the presence of the essential singularity, our new functions exhibit a dynamic structure as similar as one could hope to the rational case, and that the philosophy of the techniques used in the rational case could be adapted.

Deviations in the Franks–Misiurewicz conjecture

We show that if there exists a counter example for the rational case of the Franks–Misiurewicz conjecture, then it must exhibit unbounded deviations in the complementary direction of its rotation set.

Mechanical state analysis of different variants of piled rafts

Traditional raft design methods describe unpiled and fully piled rafts. The current paper aims to discuss intermediate raft design variants when the raft is at the same time partially supported by piles and partially rests on the ground. The loading conditions of all variants as well as mechanical properties assumed to be identical, general numerical simulation assumptions are also the same. The task is to analyse the stress and strain state of the raft for all variants (unpiled raft, partially piled raft, fully piled raft), to compare the results and to determine the most rational case. Raft settlements, bending moments and expenses of the materials are compared on the basis of the results.

Plasmin-Dependent Modulation of the Blood–Brain Barrier: A Major Consideration during tPA-Induced Thrombolysis?

Plasmin, the principal downstream product of tissue-type plasminogen activator (tPA), is known for its potent fibrin-degrading capacity but is also recognized for many non-fibrinolytic activities. Curiously, plasmin has not been conclusively linked to blood–brain barrier (BBB) disruption during recombinant tPA (rtPA)-induced thrombolysis in ischemic stroke. This is surprising given the substantial involvement of tPA in the modulation of BBB permeability and the co-existence of tPA and plasminogen in both blood and brain throughout the ischemic event. Here, we review the work that argues a role for plasmin together with endogenous tPA or rtPA in BBB alteration, presenting the overall controversy around the topic yet creating a rational case for an involvement of plasmin in this process.