Facts on optic flow

We employ an optimal solution to both the shape from motion problem and the related problem of the estimation of self-movement on a purely optical basis to deduce practical rules of thumb for the limits of the optic flow information content in the presence of perturbation of the motion parallax field. The results are illustrated and verified by means of a computer simulation.The results allow estimates of the accuracy of depth and egomotion estimates as a function of the accuracy of data sampling and the width of field of view, as well as estimates of the interaction between rotational and translational components of the movement.     

The construction of a simultaneous functional order in nervous systems

In a previous paper (Part I) we introduced a model that constructs a simultaneous functional order in a set of neuronal elements by monitoring the coincidences in their signal activities (the so-called coincidence-model). The simultaneous signal activity in a neural net will be constrained both by its physical restrictions and by environmental constraints. In this paper we present the results of simulation experiments that were performed to study the influence of environmental constraits on the resulting functional order in a set of neural elements corresponding to a onedimensional detector array. We show that the coincidence-model produces a functional order that encodes the physical constraints of the environment. Moreover, we demonstrate that the signal activity in the neural net (the perceptions) can be related to events in the outer world. We provide some examples to demonstrate that our model may prove useful to gain insight into certain developmental disorders.     

Phase shifts in heterochromatic flicker photometry and Bidwell's ghost: A model

A simple model of brightness encoding in the retina is proposed that explains:

1. the differential phase shift needed to minimize brightness flicker in a homogeneous red-green counterphase flickering field.
2. the modulation transfer function at low temporal frequencies for flickering lights of one dominant wavelength against the background of light with another dominant wavelength.
3. the occurrence of the Hering, the Purkinje and the Hess afterimages.
4. the ability of monochromatic light to provoke the Purkinje afterimage (Bidwell's ghost).

It is shown that these effects can be treated as pure brightness effects; or that the signal processing of the opponent system is irrelevant to the results. A physiological substrate for the model is tentatively indicated. Some suggestions are made concerning possible experimental checks of the model.     

Cells Actively Stiffen Fibrin Networks by Generating Contractile Stress

During wound healing and angiogenesis, fibrin serves as a provisional extracellular matrix. We use a model system of fibroblasts embedded in fibrin gels to study how cell-mediated contraction may influence the macroscopic mechanical properties of their extracellular matrix during such processes. We demonstrate by macroscopic shear rheology that the cells increase the elastic modulus of the fibrin gels. Microscopy observations show that this stiffening sets in when the cells spread and apply traction forces on the fibrin fibers. We further show that the stiffening response mimics the effect of an external stress applied by mechanical shear. We propose that stiffening is a consequence of active myosin-driven cell contraction, which provokes a nonlinear elastic response of the fibrin matrix. Cell-induced stiffening is limited to a factor 3 even though fibrin gels can in principle stiffen much more before breaking. We discuss this observation in light of recent models of fibrin gel elasticity, and conclude that the fibroblasts pull out floppy modes, such as thermal bending undulations, from the fibrin network, but do not axially stretch the fibers. Our findings are relevant for understanding the role of matrix contraction by cells during wound healing and cancer development, and may provide design parameters for materials to guide morphogenesis in tissue engineering.     

Familial hemiplegic migraine mutations affect Na,K-ATPase domain interactions

Familial hemiplegic migraine (FHM) is a monogenic variant of migraine with aura. One of the three known causative genes, ATP1A2, which encodes the α2 isoform of Na,K-ATPase, causes FHM type 2 (FHM2). Over 50 FHM2 mutations have been reported, but most have not been characterized functionally. Here we study the molecular mechanism of Na,K-ATPase α2 missense mutations. Mutants E700K and P786L inactivate or strongly reduce enzyme activity. Glutamic acid 700 is located in the phosphorylation (P) domain and the mutation most likely disrupts the salt bridge with Lysine 35, thereby destabilizing the interaction with the actuator (A) domain. Mutants G900R and E902K are present in the extracellular loop at the interface of the α and β subunit. Both mutants likely hamper the interaction between these subunits and thereby decrease enzyme activity. Mutants E174K, R548C and R548H reduce the Na⁺ and increase the K⁺ affinity. Glutamic acid 174 is present in the A domain and might form a salt bridge with Lysine 432 in the nucleotide binding (N) domain, whereas Arginine 548, which is located in the N domain, forms a salt bridge with Glutamine 219 in the A domain. In the catalytic cycle, the interactions of the A and N domains affect the K⁺ and Na⁺ affinities, as observed with these mutants. Functional consequences were not observed for ATP1A2 mutations found in two sporadic hemiplegic migraine cases (Y9N and R879Q) and in migraine without aura (R51H and C702Y).     

Fibrin-fiber architecture influences cell spreading and differentiation

ABSTRACT

The mechanical and structural properties of the extracellular matrix (ECM) play an important role in regulating cell fate. The natural ECM has a complex fibrillar structure and shows nonlinear mechanical properties, which are both difficult to mimic synthetically. Therefore, systematically testing the influence of ECM properties on cellular behavior is very challenging. In this work we show two different approaches to tune the fibrillar structure and mechanical properties of fibrin hydrogels. Addition of extra thrombin before gelation increases the protein density within the fibrin fibers without significantly altering the mechanical properties of the resulting hydrogel. On the other hand, by forming a composite hydrogel with a synthetic biomimetic polyisocyanide network the protein density within the fibrin fibers decreases, and the mechanics of the composite material can be tuned by the PIC/fibrin mass ratio. The effect of the changes in gel structure and mechanics on cellular behavior are investigated, by studying human mesenchymal stem cell (hMSC) spreading and differentiation on these gels. We find that the trends observed in cell spreading and differentiation cannot be explained by the bulk mechanics of the gels, but correlate to the density of the fibrin fibers the gels are composed of. These findings strongly suggest that the microscopic properties of individual fibers in fibrous networks play an essential role in determining cell behavior.     

Phe783, Thr797, and Asp804 in transmembrane hairpin M5-M6 of Na+,K+-ATPase play a key role in ouabain binding

Ouabain is a glycoside that binds to and inhibits the action of Na+,K+-ATPase. Little is known, however, about the specific requirements of the protein surface for glycoside binding. Using chimeras of gastric H+,K+-ATPase and Na+,K+-ATPase, we demonstrated previously that the combined presence of transmembrane hairpins M3-M4 and M5-M6 of Na+,K+-ATPase in a backbone of H+,K+-ATPase (HN34/56) is both required and sufficient for high affinity ouabain binding. Since replacement of transmembrane hairpin M3-M4 by the N terminus up to transmembrane segment 3 (HNN3/56) resulted in a low affinity ouabain binding, hairpin M5-M6 seems to be essential for ouabain binding. To assess which residues of M5-M6 are required for ouabain action, we divided this transmembrane hairpin in seven parts and individually replaced these parts by the corresponding sequences of H+,K+-ATPase in chimera HN34/56. Three of these chimeras failed to bind ouabain following expression in Xenopus laevis oocytes. Altogether, these three chimeras contained 7 amino acids that were specific for Na+,K+-ATPase. Individual replacement of these 7 amino acids by the corresponding amino acids in H+,K+-ATPase revealed a dramatic loss of ouabain binding for F783Y, T797C, and D804E. As a proof of principle, the Na+,K+-ATPase equivalents of these 3 amino acids were introduced in different combinations in chimera HN34. The presence of all 3 amino acids appeared to be required for ouabain action. Docking of ouabain onto a three-dimensional-model of Na+,K+-ATPase suggests that Asp804, in contrast to Phe783 and Thr797, does not actually form part of the ouabain-binding pocket. Most likely, the presence of this amino acid is required for adopting of the proper conformation for ouabain binding.     

Efficient Nash Equilibrium Resource Allocation Based on Game Theory Mechanism in Cloud Computing by Using Auction

One of the most complex issues in the cloud computing environment is the problem of resource allocation so that, on one hand, the cloud provider expects the most profitability and, on the other hand, users also expect to have the best resources at their disposal considering the budget constraints and time. In most previous work conducted, heuristic and evolutionary approaches have been used to solve this problem. Nevertheless, since the nature of this environment is based on economic methods, using such methods can decrease response time and reducing the complexity of the problem. In this paper, an auction-based method is proposed which determines the auction winner by applying game theory mechanism and holding a repetitive game with incomplete information in a non-cooperative environment. In this method, users calculate suitable price bid with their objective function during several round and repetitions and send it to the auctioneer; and the auctioneer chooses the winning player based the suggested utility function. In the proposed method, the end point of the game is the Nash equilibrium point where players are no longer inclined to alter their bid for that resource and the final bid also satisfies the auctioneer’s utility function. To prove the response space convexity, the Lagrange method is used and the proposed model is simulated in the cloudsim and the results are compared with previous work. At the end, it is concluded that this method converges to a response in a shorter time, provides the lowest service level agreement violations and the most utility to the provider.