Intrinsic noise and discrete-time processes

A general formalism is developed to construct a Markov chain model that converges to a one-dimensional map in the infinite population limit. Stochastic fluctuations are therefore internal to the system and not externally specified. For finite populations an approximate Gaussian scheme is devised to describe the stochastic fluctuations in the non-chaotic regime. More generally, the stochastic dynamics can be captured using a stochastic difference equation, derived through an approximation to the Markov chain. The scheme is demonstrated using the logistic map as a case study.Comment: Modified version accepted for publication in Phys. Rev. E Rapid Communications. New figures adde

A Sparse signal representation-based approach to image formation and anisotropy determination in wide-angle radar

We consider the problem of jointly forming images and determining anisotropy from wide-angle synthetic aperture radar (SAR) measurements. Conventional SAR image formation techniques assume isotropic scattering, which is not valid with wide-angle apertures. We present a method based on a sparse representation of aspect-dependent scattering with an overcomplete dictionary composed of elements with varying levels of angular persistence. Solved as an inverse problem, the result is a complex-valued, aspect-dependent response for each spatial location in a scene. Our formulation leads to an optimization problem for which we develop a tractable, graph-structured approximate algorithm. We present experimental results on realistic electromagnetic simulations demonstrating the effectiveness of the proposed approach

Use of a ‘molecular tug’ to overcome limitations in the production of ‘difficult to express’ recombinant proteins

In recent years there has been an increased drive towards the production of recombinant proteins in large amounts using rapid cell culture processes. Mammalian expression systems such as Chinese Hamster Ovary (CHO) cells have remained the preferred choice for large-scale recombinant protein production (Walsh, 2014). However, in mammalian cells certain recombinant targets can prove to be ‘difficult to express’ and require extensive upstream process optimisation which can have a negative impact on industrial processes. This study has investigated the molecular mechanisms that are responsible for poor recombinant protein production. Model proteins from the Tissue Inhibitors of Metalloproteinase (TIMP) family, TIMP-2, TIMP-3 and TIMP-4, were subject to detailed study to characterise the molecular mechanisms that limit production of recombinant proteins with high sequence homology (Hussain et al., 2017). TIMP-2, -3 and -4, share significant sequence/structural homology (Douglas et al., 1997, Garcia et al., 2012), but show differences when produced in a transient CHO expression system (Hussain et al., 2017) . A systematic screen of the protein expression pathway showed all three TIMPs were detectable at the mRNA and protein level within the cell but only TIMP-2 was secreted in significant amounts into the culture medium. Analysis of the intracellular protein suggested the post-translational processing of poorly expressed TIMPs was limiting. A protein engineering approach was employed to overcome challenges in the production of these ‘difficult to express’ TIMP proteins. This approach involved the attachment of a furin-cleavable pro-sequence from a secretory growth factor to recombinant targets. The pro-sequence was predicted to act as a ‘molecular tug’ to aid transit through the protein expression pathway and/or promote correct post-translational processing. Initially, the furin-cleavable pro-sequence was added to TIMP-3 (non-secreted), which resulted in secretion of TIMP-3, however incomplete processing of the pro-sequence was observed. The protein engineering approach was optimised further and applied in combination with cell engineering (furin overexpression) to TIMP-4 (poorly secreted), which was also successfully detected in significantly higher amounts in the culture medium (Hussain et al., 2017). Together, the described protein engineering approach presents a novel strategy to increase the production of ‘difficult-to-express’ recombinant targets. References: Douglas, D. A., Shi, Y. E. & Sang, Q. X. A. 1997. Computational sequence analysis of the tissue inhibitor of metalloproteinase family. Journal of Protein Chemistry, 16, 237-255. Garcia, M. P. S., Suarez-Penaranda, J. M., Gayoso-Diz, P., Barros-Angueira, F., Gandara-Rey, J. M. & Garcia-Garcia, A. 2012. Tissue inhibitor of metalloproteinases in oral squamous cell carcinomas - A therapeutic target? Cancer Letters, 323, 11-19. Hussain, H., Fisher, D. I., Abbott, W. M., Roth, R. G. & Dickson, A. J. 2017. Use of a protein engineering strategy to overcome limitations in the production of Difficult to Express recombinant proteins. Biotechnology and Bioengineering, 114, 2348-2359. Walsh, G. 2014. Biopharmaceutical benchmarks 2014. Nature Biotechnology, 32, 992-1000