Characterisation of the role of Fas in intestinal inflammation and cancer

Background: The role of Fas (CD95) and its ligand, Fas ligand (FasL/CD95L), is poorly understood in the intestine. Whilst Fas is best studies in terms of its function in apoptosis, recent studies suggest that Fas ligation may mediate additional, non-apoptotic functions such as inflammation. Toll like Receptors (TLRs) play an important role in mediating inflammation and homeostasis in the intestine. Recent studies have shown that a level of crosstalk exists between the Fas and TLR signalling pathways but this has not yet been investigated in the intestine. Aim: The aim of this study was to evaluate potential cross-talk between TLRs and Fas/FasL system in intestinal cancer cells. Results: Treatment with TLR4 and TLR5 ligands, but not ligands for TLR2 and TLR9 increased the expression of Fas and FasL in intestinal cancer cells in vitro. Consistent with this, expression of Fas and FasL was reduced in the distal colon tissue from germ-free (GF), TLR4 and TLR5 knock-out (KO) mice but was unchanged in TLR2KO tissue, suggesting that intestinal cancer cells display a degree of specificity in their ability to upregulate Fas and FasL expression in response to TLR ligation. Expression of both Fas and FasL was significantly reduced in TRIF KO tissue, indicating that signalling via TRIF by TLR4 and TLR5 agonists may be responsible for the induction of Fas and FasL expression in intestinal cancer cells. In addition, modulating Fas signalling using agonistic anti-Fas augmented TLR4 and TLR5-mediated tumour necrosis factor alpha (TNFα) and interleukin 8 (IL)-8 production by intestinal cancer cells, suggesting crosstalk occurs between these receptors in these cells. Furthermore, suppression of Fas in intestinal cancer cells reduced the ability of the intestinal pathogens, Salmonella typhimurium and Listeria monocytogenes to induce the expression of IL-8, suggesting that Fas signalling may play a role in intestinal host defence against pathogens. Inflammation is known to be important in colon tumourigenesis and Fas signalling on intestinal cancer cells has been shown to result in the production of inflammatory mediators. Fas-mediated signalling may therefore play a role in colon cancer development. Suppression of tumour-derived Fas by 85% led to a reduction in the tumour volume and changes in tumour infiltrating macrophages and neutrophils. TLR4 signalling has been shown to play a role in colon cancer via the recruitment and activation of alternatively activated immune cells. Given the crosstalk seen between Fas and TLR4 signalling in intestinal cancer cells in vitro, suppressing Fas signalling may enhance the efficacy of TLR4 antagonism in vivo. TLR4 antagonism resulted in smaller tumours with fewer infiltrating neutrophils. Whilst Fas downregulation did not significantly augment the ability of TLR4 antagonism to reduce the final tumour volume, Fas suppression may augment the anti-tumour effects of TLR4 antagonism as neutrophil infiltration was further reduced upon combinatorial treatment. Conclusion: Together, this study demonstrates evidence of a new role for Fas in the intestinal immune response and that manipulating Fas signalling has potential anti-tumour benefit.

Financial modelling with 2-EPT probability density functions

The class of all Exponential-Polynomial-Trigonometric (EPT) functions is classical and equal to the Euler-d’Alembert class of solutions of linear differential equations with constant coefficients. The class of non-negative EPT functions defined on [0;1) was discussed in Hanzon and Holland (2010) of which EPT probability density functions are an important subclass. EPT functions can be represented as ceAxb, where A is a square matrix, b a column vector and c a row vector where the triple (A; b; c) is the minimal realization of the EPT function. The minimal triple is only unique up to a basis transformation. Here the class of 2-EPT probability density functions on R is defined and shown to be closed under a variety of operations. The class is also generalised to include mixtures with the pointmass at zero. This class coincides with the class of probability density functions with rational characteristic functions. It is illustrated that the Variance Gamma density is a 2-EPT density under a parameter restriction. A discrete 2-EPT process is a process which has stochastically independent 2-EPT random variables as increments. It is shown that the distribution of the minimum and maximum of such a process is an EPT density mixed with a pointmass at zero. The Laplace Transform of these distributions correspond to the discrete time Wiener-Hopf factors of the discrete time 2-EPT process. A distribution of daily log-returns, observed over the period 1931-2011 from a prominent US index, is approximated with a 2-EPT density function. Without the non-negativity condition, it is illustrated how this problem is transformed into a discrete time rational approximation problem. The rational approximation software RARL2 is used to carry out this approximation. The non-negativity constraint is then imposed via a convex optimisation procedure after the unconstrained approximation. Sufficient and necessary conditions are derived to characterise infinitely divisible EPT and 2-EPT functions. Infinitely divisible 2-EPT density functions generate 2-EPT Lévy processes. An assets log returns can be modelled as a 2-EPT Lévy process. Closed form pricing formulae are then derived for European Options with specific times to maturity. Formulae for discretely monitored Lookback Options and 2-Period Bermudan Options are also provided. Certain Greeks, including Delta and Gamma, of these options are also computed analytically. MATLAB scripts are provided for calculations involving 2-EPT functions. Numerical option pricing examples illustrate the effectiveness of the 2-EPT approach to financial modelling.

Characterisation of the non-muscle α-actinins

Actinins are cytoskeleton proteins that cross-link actin filaments. Evolution of the actinin family resulted in the formation of Ca++-insensitive muscle isoforms (actinin-2 and- 3) and Ca++-sensitive non-muscle isoforms (actinin-1 and -4) with regard to their actin-binding function. Despite high sequence similarity, unique properties have been ascribed to actinin-4 compared with actinin-1. Actinin-4 is the predominant isoform reported to be associated with the cancer phenotype. Actinin-4, but not actinin-1, is essential for normal glomerular function in the kidney and and is able to translocate to the nucleus to regulate transcription. To understand the molecular basis for such isoform-specific functions I have comprehensively compared these proteins in terms of localisation, migration, alternative splicing, actin-binding properties, heterodimer formation and molecular interactions for the first time. This work characterises a number of commercially available actinin antibodies and in doing so, identifies actinin-1, -2 and -4 isoform-specific antibodies that enabled studies of actinin expression and localisation. This work identifies the actinin rod domain as the predominant domain that influences actinin localisation however localisation is likely to be effected by the entire actinin protein. si-RNA- mediated knockdown of actinin-1 and -4 did not affect migration in a number of cell lines highlighting that migration may only require a fraction of total non-muscle actinin levels. This work finds that the Ca++-insensitive variant of actinin-4 is expressed only in the nervous system and thus cannot be regarded as a smooth muscle isoform, as is the case for the Ca++-insensitive variant of actinin-1. This work also identifies a previously unreported exon 19a+19b expressing variant of actinin-4 in human skeletal muscle. This work finds that alternative splice variants of actinin-1 and -4 are co-expressed in a number of tissues, in particular the brain. In contrast to healthy brain, glioblastoma cells express Ca++-sensitive variants of both actinin-1 and -4. Actin-binding properties of actinin-1 and -4 are similar and are unlikely to explain isoform-specific functions. Surprisingly, this work reveals that actinin-1/-4 heterodimers, rather than homodimers, are the most abundant form of actinin in many cancer cell lines. Taken together this data suggests that actinin-1 and -4 cannot be viewed as distinct entities from each other but rather as proteins that can exist in both homodimeric and heterodimeric forms. Finally, this work employs yeast two-hybrid and proteomic approaches to identify actinin-interacting proteins. In doing so, this work identifies a number of putative actinin-4 specific interacting partners that may help to explain some of the unique functions attributed the actinin-4. The observation of alternative splice variants of actinin-1 and -4 combined with the observed potential of these proteins to form homodimers and heterodimers suggests that homodimers and heterodimers with novel actin-binding properties and interaction networks may exist. The ability to behave in this manner may have functional implications. This may be of importance considering that these proteins are central to such processes as cell migration and adhesion. This significantly alters our view of the non-muscle actinins.