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The presence of protein aggregates in cells is a known feature of many human age‐related diseases, such as Huntington's disease. Simulations using fixed parameter values in a model of the dynamic evolution of expanded polyglutaime (PolyQ) proteins in cells have been used to gain a better understanding of the biological system. However, there is considerable uncertainty about the values of some of the parameters governing the system. Currently, appropriate values are chosen by ad hoc attempts to tune the parameters so that the model output matches experimental data. The problem is further complicated by the fact that the data only offer a partial insight into the underlying biological process: the data consist only of the proportions of cell death and of cells with inclusion bodies at a few time points, corrupted by measurement error. Developing inference procedures to estimate the model parameters in this scenario is a significant task. The model probabilities corresponding to the observed proportions cannot be evaluated exactly, and so they are estimated within the inference algorithm by repeatedly simulating realizations from the model. In general such an approach is computationally very expensive, and we therefore construct Gaussian process emulators for the key quantities and reformulate our algorithm around these fast stochastic approximations. We conclude by highlighting appropriate values of the model parameters leading to new insights into the underlying biological processes. [ABSTRACT FROM AUTHOR]

Although stochastic population models have proved to be a powerful tool in the study of process generating mechanisms across a wide range of disciplines, all too often the associated mathematical development involves nonlinear mathematics, which immediately raises difficult and challenging analytic problems that need to be solved if useful progress is to be made. One approximation that is often employed to estimate the moments of a stochastic process is moment closure. This approximation essentially truncates the moment equations of the stochastic process. A general expression for the marginal- and joint-moment equations for a large class of stochastic population models is presented. The generalisation of the moment equations allows this approximation to be applied easily to a wide range of models. Software is available from http://pysbml.googlecode.com/ to implement the techniques presented here. [ABSTRACT FROM AUTHOR]

One of the DNA damage-response mechanisms in budding yeast is temporary cell-cycle arrest while DNA repair takes place. The DNA damage response requires the coordinated interaction between DNA repair and checkpoint pathways. Telomeres of budding yeast are capped by the Cdc13 complex. In the temperature-sensitive cdc13-1 strain, telomeres are unprotected over a specific temperature range leading to activation of the DNA damage response and subsequently cell-cycle arrest. Inactivation of cdc13-1 results in the generation of long regions of single-stranded DNA (ssDNA) and is affected by the activity of various checkpoint proteins and nucleases. This paper describes a mathematical model of how uncapped telomeres in budding yeast initiate the checkpoint pathway leading to cell-cycle arrest. The model was encoded in the Systems Biology Markup Language (SBML) and simulated using the stochastic simulation system Biology of Ageing e-Science Integration and Simulation (BASIS). Each simulation follows the time course of one mother cell keeping track of the number of cell divisions, the level of activity of each of the checkpoint proteins, the activity of nucleases and the amount of ssDNA generated. The model can be used to carry out a variety of in silico experiments in which different genes are knocked out and the results of simulation are compared to experimental data. Possible extensions to the model are also discussed.

Dystroglycan-dystrophin complexes are believed to have structural and signaling functions by linking extracellular matrix proteins to the cytoskeleton and cortical signaling molecules. Here we characterize a dystroglycan-dystrophin-related protein 2 (DRP2) complex at the surface of myelin-forming Schwann cells. The complex is clustered by the interaction of DRP2 with L-periaxin, a homodimeric PDZ domain-containing protein. In the absence of L-periaxin, DRP2 is mislocalized and depleted, although other dystrophin family proteins are unaffected. Disruption of the DRP2-dystroglycan complex is followed by hypermyelination and destabilization of the Schwann cell-axon unit in Prx(-/-) mice. Hence, the DRP2-dystroglycan complex likely has a distinct function in the terminal stages of PNS myelinogenesis, possibly in the regulation of myelin thickness.

The Prx gene in Schwann cells encodes L- and S-periaxin, two abundant PDZ domain proteins thought to have a role in the stabilization of myelin in the peripheral nervous system (PNS). Mice lacking a functional Prx gene assemble compact PNS myelin. However, the sheath is unstable, leading to demyelination and reflex behaviors that are associated with the painful conditions caused by peripheral nerve damage. Older Prx-/- animals display extensive peripheral demyelination and a severe clinical phenotype with mechanical allodynia and thermal hyperalgesia, which can be reversed by intrathecal administration of a selective NMDA receptor antagonist We conclude that the periaxins play an essential role in stabilizing the Schwann cell-axon unit and that the periaxin-deficient mouse will be an important model for studying neuropathic pain in late onset demyelinating disease.

Cell adhesion molecules (CAMs) must play a crucial role in both the initiation and signalling of axon-glial contact. However, the proteins that permit myelinating oligodendrocytes to recognize the axons that they ensheath in the developing CNS are unknown. By a subtractive cDNA library strategy, we have identified neurofascin as a powerful candidate for such a molecule. Neurofascin is strongly but transiently up-regulated in oligodendrocytes at the onset of myelinogenesis. Once oligodendrocytes have engaged their target axons the protein plays no further part, since the expression of the gene declines precipitously, in contrast to that of the major myelin component proteolipid protein, which remains elevated. After the initial surge of neurofascin expression in oligodendrocytes, there is a shift to a predominantly neuronal localization that persists into adulthood. Hence neurofascin in oligodendrocytes is unlikely to serve a function in the stabilization of the multilamellar sheath around the axon. The major neurofascin isoform of oligodendrocytes contains the third fibronectin type 3 (FNIII) repeat but lacks the mucin-like domain which supports the view that neurofascin isoforms are differentially expressed in the nervous system. Among the genes that are up-regulated during the terminal differentiation of the oligodendrocyte, neurofascin is unique in displaying a transient pattern of expression at the early stages of myelination. We propose that this CAM not only has a role in mediating axon recognition but also signals axonal contact through its links with the actin cytoskeleton.

Expression of the genes that encode neurofilament proteins is considered to be confined normally to neurons. However, in demyelinating peripheral nerves Schwann cells upregulate the mRNA for the medium-sized neurofilament protein (NF-M), and cultured Schwann cells of the myelin-forming phenotype can also synthesize and incorporate NF-M protein into their intermediate filament (IF) cytoskeleton. The purpose of this study was to establish how axonal contact might influence glial neurofilament gene expression and regulate the synthesis of neurofilament proteins. We show that the gene encoding NF-M is expressed at early stages of differentiation in myelin-forming Schwann cells in vivo; nevertheless, little NF-M protein can be detected in these cells. The transient induction of NF-M mRNA is also apparent in dedifferentiating Schwann cells during Wallerian degeneration. In these Schwann cells the mRNAs for NF-M and NF-L (the smallest polypeptide), but not NF-H (the largest neurofilament subunit), are coordinately expressed. In contrast to differentiating myelin-forming Schwann cells, the cells of degenerating nerves express both NF-M and NF-L polypeptides. Restoration of axonal contact in the growing nerve stimulates the recapitulation of Schwann cell differentiation including the elevation of NF-M and NF-L mRNA expression. These results demonstrate that the transient induction of neurofilament mRNAs in Schwann cells is a feature of both differentiation and dedifferentiation. However translation of these mRNAs is confined to Schwann cells deprived of axonal contact either by nerve injury or by culture in the absence of axons. These findings suggest that the expression of the NF-M and NF-L polypeptides is an important characteristic of those Schwann cells that will contribute to the repair of damaged peripheral nerves.

We report the cloning and subcellular localization of a novel Schwann cell-specific protein of 147 kd that we have named periaxin. Periaxin has a remarkable domain of repetitive pentameric units in the primary sequence. It is expressed in the first uncompacted whorls of membrane that ensheathe the axon, and further synthesis of the protein in the rat sciatic nerve parallels the deposition of myelin. In mature myelin, periaxin colocalizes with the myelin-associated glycoprotein in the cytoplasm-filled periaxonal regions of the sheath but is excluded from compact myelin. We propose that periaxin has a role in axon-glial interactions, possibly by interacting with the cytoplasmic domains of integral membrane proteins such as myelin-associated glycoprotein in the periaxonal regions of the Schwann cell plasma membrane.

Myelin basic protein (MBP) and P2 protein are small positively charged proteins found in oligodendrocytes of rabbit spinal cord. Both proteins become incorporated into compact myelin. We have begun investigations into the mechanisms by which MBP and P2 become incorporated into the myelin membrane. We find that P2, like the MBPs, is synthesized on free polysomes in rabbit spinal cord. Cell fractionation experiments reveal that rabbit MBP mRNAs are preferentially segregated to the peripheral myelinating regions whereas P2 mRNAs are predominantly localized within the perikaryon of the cell. In vitro synthesized rabbit MBP readily associates with membranes added to translation mixtures, whereas P2 protein does not. It is possible that P2 requires a "receptor" molecule, perhaps a membrane-anchored protein, for association with the cytoplasmic face of the myelin membrane.

Protein zero (P0), an integral membrane glycoprotein synthesized by Schwann cells, is the major glycoprotein of peripheral nerve myelin. The predicted disposition of P0 with respect to the membrane bilayer postulates the existence of extracellular and intracellular domains, that mediate compaction of the myelin lamellae. We used in vitro translations programmed with sciatic nerve mRNA and cells transfected with a P0 cDNA construct to study the biosynthesis and topology of P0 in the bilayer. The behavior of P0 at the cell surface, when expressed under physiological conditions, was also examined. We have verified the topological predictions of an earlier model, derived from analysis of a P0 cDNA, and provide evidence that the extracellular domain of P0 mediates homotypically cell-cell interactions in the transfectants.

We have investigated the site of synthesis of the 2',3'-cyclic nucleotide 3'-phosphodiesterases (CNPs I and II) in rat brain. Rapid kinetics of incorporation of CNPs into oligodendrocyte plasma membrane in the intact brain are consistent with their synthesis on free polysomes. This hypothesis was confirmed by the translation in vitro of RNA isolated from free and bound polysomes, respectively. Unlike myelin basic protein (MBP) mRNAs, CNP mRNAs are not enriched in a myelin-associated pool of RNA. MBPs, but not CNPs, were found to readily associate in vitro with membrane vesicles derived from rough endoplasmic reticulum. The avidity of MBPs in binding to membranes is probably related to the previously observed spatial segregation of MBP mRNAs into actively myelinating cellular processes of the oligodendrocyte. Such a segregation would ensure that newly synthesized MBPs are immediately incorporated into myelin. In contrast, the CNPs probably associate with the cytoplasmic surface of the oligodendrocyte plasma membrane through interaction with a membrane-bound receptor.

The membranes of intact C6 cells were enriched with phosphatidyldimethylethanolamine or phosphatidylmonomethylethanolamine. These cells showed enhanced rates of phospholipid methylation but this was not accompanied by an increased beta-adrenergic response. We conclude that phospholipid methylation is not coupled to the activation of adenylate cyclase in the beta-adrenergic response of C6 glial cells.