Fixation probabilities for the Moran process with three or more strategies: general and coupling results

We study fixation probabilities for the Moran stochastic process for the evolution of a population with three or more types of individuals and frequency-dependent fitnesses. Contrary to the case of populations with two types of individuals, in which fixation probabilities may be calculated by an exact formula, here we must solve a large system of linear equations. We first show that this system always has a unique solution. Other results are upper and lower bounds for the fixation probabilities obtained by coupling the Moran process with three strategies with birth–death processes with only two strategies. We also apply our bounds to the problem of evolution of cooperation in a population with three types of individuals already studied in a deterministic setting by Núñez Rodríguez and Neves (J Math Biol 73:1665–1690, 2016). We argue that cooperators will be fixated in the population with probability arbitrarily close to 1 for a large region of initial conditions and large enough population sizes.

     

Endocytosis at the apical plasma membrane of pancreatic acinar cells is regulated by tyrosine kinases

We have shown that endocytosis at the apical plasma membrane ofpancreatic acinar cells is regulated by the pH of the acinar lumen andis associated with cleavage of GP2, a glycosylphosphatidylinositol-anchored protein. The aim of this study was todetermine the transduction pathway by which endocytosis is activated.Apical endocytosis was studied in rat pancreatic acini byprestimulation with cholecystokinin followed by measurement ofhorseradish peroxidase (HRP) uptake. Lanthanum, staurosporine, andforskolin had no effect on HRP uptake. Cytochalasin D significantlyinhibited endocytosis, indicating a dependence on actin filamentintegrity. Genistein and the specific tyrphostin inhibitor B42 alsoinhibited HRP uptake, implicating tyrosine kinases in the regulation ofHRP uptake. With the use of an Src kinase-specific substrate, Srckinase activity was temporally related to activation of endocytosis.The tyrosine-dependent phosphorylation of an 85-kDa substrate in bothrat and mouse pancreatic acini correlated with Src kinase activationand pH-dependent regulation of HRP uptake. These results indicate thatapical endocytosis in acinar cells is associated with tyrosine kinaseactivation and is dependent on the actin cytoskeleton.     

Transsynaptic Coordination of Synaptic Growth,Function, and Stability by the L1-Type CAM Neuroglian

The precise control of synaptic connectivity is essential for the development and function of neuronal circuits. While there have been significant advances in our understanding how cell adhesion molecules mediate axon guidance and synapse formation, the mechanisms controlling synapse maintenance or plasticity in vivo remain largely uncharacterized. In an unbiased RNAi screen we identified the Drosophila L1-type CAM Neuroglian (Nrg) as a central coordinator of synapse growth, function, and stability. We demonstrate that the extracellular Ig-domains and the intracellular Ankyrin-interaction motif are essential for synapse development and stability. Nrg binds to Ankyrin2 in vivo and mutations reducing the binding affinities to Ankyrin2 cause an increase in Nrg mobility in motoneurons. We then demonstrate that the Nrg–Ank2 interaction controls the balance of synapse growth and stability at the neuromuscular junction. In contrast, at a central synapse, transsynaptic interactions of pre- and postsynaptic Nrg require a dynamic, temporal and spatial, regulation of the intracellular Ankyrin-binding motif to coordinate pre- and postsynaptic development. Our study at two complementary model synapses identifies the regulation of the interaction between the L1-type CAM and Ankyrin as an important novel module enabling local control of synaptic connectivity and function while maintaining general neuronal circuit architecture.     

Optimization of a series of heterocycles as survival motor neuron gene transcription enhancers

Spinal muscular atrophy (SMA) is a neurodegenerative disorder that results from mutations in the SMN1 gene, leading to survival motor neuron (SMN) protein deficiency. One therapeutic strategy for SMA is to identify compounds that enhance the expression of the SMN2 gene, which normally only is a minor contributor to functional SMN protein production, but which is unaffected in SMA. A recent high-throughput screening campaign identified a 3,4-dihydro-4-phenyl-2(1H)-quinolinone derivative (2) that increases the expression of SMN2 by 2-fold with an EC₅₀?=?8.3?µM. A structure-activity relationship (SAR) study revealed that the array of tolerated substituents, on either the benzo portion of the quinolinone or the 4-phenyl, was very narrow. However, the lactam ring of the quinolinone was more amenable to modifications. For example, the quinazolinone (9a) and the benzoxazepin-2(3H)-one (19) demonstrated improved potency and efficacy for increase in SMN2 expression as compared to 2.