Imperial College London

Dr Nick Jones

Faculty of Natural SciencesDepartment of Mathematics

Reader in Applied Mathematics and Mathematical Physics
 
 
 
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Contact

 

+44 (0)20 7594 1146nick.jones

 
 
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Location

 

301aSir Ernst Chain BuildingSouth Kensington Campus

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Summary

 

Publications

Publication Type
Year
to

75 results found

Aryaman J, Johnston IG, Jones NS, 2019, Mitochondrial Heterogeneity, FRONTIERS IN GENETICS, Vol: 9, ISSN: 1664-8021

JOURNAL ARTICLE

Lubba CH, Le Guen Y, Jarvis S, Jones NS, Cork SC, Eftekhar A, Schultz SRet al., 2019, PyPNS: Multiscale Simulation of a Peripheral Nerve in Python, NEUROINFORMATICS, Vol: 17, Pages: 63-81, ISSN: 1539-2791

JOURNAL ARTICLE

Brittain R, Jones N, Ouldridge T, 2018, Biochemical Szilard engine for memory limited inference

Code and data for figures in 'Biochemical Szilard engine for memory limited inference'

SOFTWARE

Sethi SS, Ewers RM, Jones NS, Orme CDL, Picinali Let al., 2018, Robust, real-time and autonomous monitoring of ecosystems with an open, low-cost, networked device, METHODS IN ECOLOGY AND EVOLUTION, Vol: 9, Pages: 2383-2387, ISSN: 2041-210X

JOURNAL ARTICLE

Garrod M, Jones NS, 2018, Large algebraic connectivity fluctuations in spatial network ensembles imply a predictive advantage from node location information, Physical Review E, Vol: 98, ISSN: 1539-3755

A random geometric graph (RGG) ensemble is defined by the disordered distribution of its node locations. We investigate how this randomness drives sample-to-sample fluctuations in the dynamical properties of these graphs. We study the distributional properties of the algebraic connectivity which is informative of diffusion and synchronization time scales in graphs. We use numerical simulations to provide a characterization of the algebraic connectivity distribution for RGG ensembles. We find that the algebraic connectivity can show fluctuations relative to its mean on the order of 30%, even for relatively large RGG ensembles (N=105). We explore the factors driving these fluctuations for RGG ensembles with different choices of dimensionality, boundary conditions, and node distributions. Within a given ensemble, the algebraic connectivity can covary with the minimum degree and can also be affected by the presence of density inhomogeneities in the nodal distribution. We also derive a closed-form expression for the expected algebraic connectivity for RGGs with periodic boundary conditions for general dimension.

JOURNAL ARTICLE

Keogh MJ, Wei W, Aryaman J, Walker L, van den Ameele J, Coxhead J, Wilson I, Bashton M, Beck J, West J, Chen R, Haudenschild C, Bartha G, Luo S, Morris CM, Jones NS, Attems J, Chinnery PFet al., 2018, High prevalence of focal and multi-focal somatic genetic variants in the human brain, NATURE COMMUNICATIONS, Vol: 9, ISSN: 2041-1723

JOURNAL ARTICLE

Wei W, Keogh MJ, Aryaman J, Golder Z, Kullar PJ, Wilson I, Talbot K, Turner MR, McKenzie C-A, Troakes C, Attems J, Smith C, Sarraj SA, Morris CM, Ansorge O, Jones NS, Ironside JW, Chinnery PFet al., 2018, Frequency and signature of somatic variants in 1461 human brain exomes., Genet Med

PURPOSE: To systematically study somatic variants arising during development in the human brain across a spectrum of neurodegenerative disorders. METHODS: In this study we developed a pipeline to identify somatic variants from exome sequencing data in 1461 diseased and control human brains. Eighty-eight percent of the DNA samples were extracted from the cerebellum. Identified somatic variants were validated by targeted amplicon sequencing and/or PyroMark® Q24. RESULTS: We observed somatic coding variants present in >10% of sampled cells in at least 1% of brains. The mutational signature of the detected variants showed a predominance of C>T variants most consistent with arising from DNA mismatch repair, occurred frequently in genes that are highly expressed within the central nervous system, and with a minimum somatic mutation rate of 4.25 × 10-10 per base pair per individual. CONCLUSION: These findings provide proof-of-principle that deleterious somatic variants can affect sizeable brain regions in at least 1% of the population, and thus have the potential to contribute to the pathogenesis of common neurodegenerative diseases.

JOURNAL ARTICLE

Keogh MJ, Wei W, Aryaman J, Wilson I, Talbot K, Turner MR, McKenzie C-A, Troakes C, Attems J, Smith C, Al Sarraj S, Morris CM, Ansorge O, Pickering-Brown S, Jones N, Ironside JW, Chinnery PFet al., 2018, Oligogenic genetic variation of neurodegenerative disease genes in 980 postmortem human brains, JOURNAL OF NEUROLOGY NEUROSURGERY AND PSYCHIATRY, Vol: 89, Pages: 813-816, ISSN: 0022-3050

JOURNAL ARTICLE

Burgstaller JP, Kolbe T, Havlicek V, Hembach S, Poulton J, Pialek J, Steinborn R, Ruelicke T, Brem G, Jones NS, Johnston IGet al., 2018, Large-scale genetic analysis reveals mammalian mtDNA heteroplasmy dynamics and variance increase through lifetimes and generations, NATURE COMMUNICATIONS, Vol: 9, ISSN: 2041-1723

JOURNAL ARTICLE

Pezet M, Gomez-Duran A, Aryaman J, Jones NS, Chinnery PFet al., 2018, Understanding the mechanism underpinning the transmission of mtDNA mutations, 11th UK Neuromuscular Translational Research Conference, Publisher: PERGAMON-ELSEVIER SCIENCE LTD, Pages: S35-S35, ISSN: 0960-8966

CONFERENCE PAPER

McGrath T, Murphy KG, Jones NS, 2018, Quantitative approaches to energy and glucose homeostasis: machine learning and modelling for precision understanding and prediction, JOURNAL OF THE ROYAL SOCIETY INTERFACE, Vol: 15, ISSN: 1742-5689

JOURNAL ARTICLE

Fricker M, Heaton L, Jones N, Obara B, Müller SJ, Meyer AJet al., 2018, Quantitation of ER Structure and Function., Methods Mol Biol, Vol: 1691, Pages: 43-66

The plant endoplasmic reticulum forms a network of tubules connected by three-way junctions or sheet-like cisternae. Although the network is three-dimensional, in many plant cells, it is constrained to a thin volume sandwiched between the vacuole and plasma membrane, effectively restricting it to a 2-D planar network. The structure of the network, and the morphology of the tubules and cisternae can be automatically extracted following intensity-independent edge-enhancement and various segmentation techniques to give an initial pixel-based skeleton, which is then converted to a graph representation. Collectively, this approach yields a wealth of quantitative metrics for ER structure and can be used to describe the effects of pharmacological treatments or genetic manipulation. The software is publicly available.

JOURNAL ARTICLE

Salnikov V, Cassese D, Lambiotte R, Jones NSet al., 2018, Co-occurrence simplicial complexes in mathematics: identifying the holes of knowledge., Appl Netw Sci, Vol: 3

In the last years complex networks tools contributed to provide insights on the structure of research, through the study of collaboration, citation and co-occurrence networks. The network approach focuses on pairwise relationships, often compressing multidimensional data structures and inevitably losing information. In this paper we propose for the first time a simplicial complex approach to word co-occurrences, providing a natural framework for the study of higher-order relations in the space of scientific knowledge. Using topological methods we explore the conceptual landscape of mathematical research, focusing on homological holes, regions with low connectivity in the simplicial structure. We find that homological holes are ubiquitous, which suggests that they capture some essential feature of research practice in mathematics. k-dimensional holes die when every concept in the hole appears in an article together with other k+1 concepts in the hole, hence their death may be a sign of the creation of new knowledge, as we show with some examples. We find a positive relation between the size of a hole and the time it takes to be closed: larger holes may represent potential for important advances in the field because they separate conceptually distant areas. We provide further description of the conceptual space by looking for the simplicial analogs of stars and explore the likelihood of edges in a star to be also part of a homological cycle. We also show that authors' conceptual entropy is positively related with their contribution to homological holes, suggesting that polymaths tend to be on the frontier of research.

JOURNAL ARTICLE

Aryaman J, Johnston IG, Jones NS, 2017, Mitochondrial DNA density homeostasis accounts for a threshold effect in a cybrid model of a human mitochondrial disease, BIOCHEMICAL JOURNAL, Vol: 474, Pages: 4019-4034, ISSN: 0264-6021

JOURNAL ARTICLE

Fulcher BD, Jones NS, 2017, hctsa: A Computational Framework for Automated Time-Series Phenotyping Using Massive Feature Extraction, CELL SYSTEMS, Vol: 5, Pages: 527-+, ISSN: 2405-4712

JOURNAL ARTICLE

Deshpande A, Gopalkrishnan M, Ouldridge TE, Jones NSet al., 2017, Designing the optimal bit: balancing energetic cost, speed and reliability, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Vol: 473, ISSN: 1364-5021

JOURNAL ARTICLE

Aryaman J, Hoitzing H, Burgstaller JP, Johnston IG, Jones NSet al., 2017, Mitochondrial heterogeneity, metabolic scaling and cell death, BIOESSAYS, Vol: 39, ISSN: 0265-9247

JOURNAL ARTICLE

Fricker MD, Akita D, Heaton LLM, Jones N, Obara B, Nakagaki Tet al., 2017, Automated analysis of Physarum network structure and dynamics, JOURNAL OF PHYSICS D-APPLIED PHYSICS, Vol: 50, ISSN: 0022-3727

JOURNAL ARTICLE

Brittain RA, Jones NS, Ouldridge TE, 2017, What we learn from the learning rate, JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, ISSN: 1742-5468

JOURNAL ARTICLE

Colijn C, Jones N, Johnston IG, Yaliraki S, Barahona Met al., 2017, Toward Precision Healthcare: Context and Mathematical Challenges, FRONTIERS IN PHYSIOLOGY, Vol: 8, ISSN: 1664-042X

JOURNAL ARTICLE

McGrath T, Jones NS, ten Wolde PR, Ouldridge TEet al., 2017, Biochemical Machines for the Interconversion of Mutual Information and Work (vol 118, 028101, 2017), PHYSICAL REVIEW LETTERS, Vol: 118, ISSN: 0031-9007

JOURNAL ARTICLE

McGrath T, Jones NS, Wolde PRT, Ouldridge TEet al., 2017, A biochemical machine for the interconversion of mutual information and work, Physical Review Letters, Vol: 118, ISSN: 1079-7114

We propose a physically-realisable biochemical device that is coupled to abiochemical reservoir of mutual information, fuel molecules and a chemicalbath. Mutual information allows work to be done on the bath even when the fuelmolecules appear to be in equilibrium; alternatively, mutual information can becreated by driving from the fuel or the bath. The system exhibits diversebehaviour, including a regime in which the information, despite increasingduring the reaction, enhances the extracted work. We further demonstrate that amodified device can function without the need for external manipulation,eliminating the need for a complex and potentially costly control.

JOURNAL ARTICLE

Hoitzing H, Johnston IG, Jones NS, 2017, Stochastic models for evolving cellular populations of mitochondria: Disease, development, and ageing, Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology, Pages: 287-314, ISBN: 9783319626260

© Springer International Publishing AG 2017. Mitochondria are essential cellular organelles whose dysfunction is associated with ageing, cancer, mitochondrial diseases, and many other disorders. They contain their own genomes (mtDNA), of which thousands can be present in a single cell. These genomes are repeatedly replicated and degraded over time, and are prone to mutations. If the fraction of mutated genomes (heteroplasmy) exceeds a certain threshold, cellular defects can arise. The dynamics of mtDNAs over time and the accumulation of mutant genomes form a rich and vital stochastic process, the understanding of which provides important insights into disease progression. Numerous mathematical models have been constructed to provide a better understanding of how mitochondrial dysfunctions arise and, importantly, how clinical interventions can alleviate disease symptoms. For a given mean heteroplasmy, an increased variance-and thus a wider cell-to-cell heteroplasmy distribution-implies a higher probability of exceeding a given threshold value, meaning that stochastic models are essential to describe mtDNA disease. Mitochondria can undergo fusion and fission events with each other making the mitochondrial population a dynamic network that continuously changes its morphology, and allowing for the possibility of exchange of mtDNA molecules: coupled stochastic physical and genetic dynamics thus govern cellular mtDNA populations. Here, an overview is given of the kinds of stochastic mathematical models constructed describing mitochondria, their implications, and currently existing open problems.

BOOK CHAPTER

Poole W, Ortiz-Munoz A, Behera A, Jones NS, Ouldridge TE, Winfree E, Gopalkrishnan Met al., 2017, Chemical Boltzmann Machines, DNA COMPUTING AND MOLECULAR PROGRAMMING, Vol: 10467, Pages: 210-231, ISSN: 0302-9743

JOURNAL ARTICLE

Johnston IG, Jones NS, 2016, Evolution of Cell-to-Cell Variability in Stochastic, Controlled, Heteroplasmic mtDNA Populations, AMERICAN JOURNAL OF HUMAN GENETICS, Vol: 99, Pages: 1150-1162, ISSN: 0002-9297

JOURNAL ARTICLE

de Figueiredo A, Johnston IG, Smith DMD, Agarwal S, Larson HJ, Jones NSet al., 2016, Forecasted trends in vaccination coverage and correlations with socioeconomic factors: a global time-series analysis over 30 years, LANCET GLOBAL HEALTH, Vol: 4, Pages: E726-E735, ISSN: 2214-109X

JOURNAL ARTICLE

Larson HJ, de Figueiredo A, Zhao X, Schulz WS, Verger P, Johnston IG, Cook AR, Jones NSet al., 2016, The State of Vaccine Confidence 2016: Global Insights Through a 67-Country Survey, EBIOMEDICINE, Vol: 12, Pages: 295-301, ISSN: 2352-3964

JOURNAL ARTICLE

de Figueiredo A, Johnston IG, Smith DMD, Agarwal S, Larson HJ, Jones NSet al., 2016, Forecasting time-series trends in vaccination coverage and their links with socio-economic factors: A global analysis over 30 years, Lancet Global Health, ISSN: 2214-109X

Background Incomplete immunisation coverage causes preventable illness and death in both the developing anddeveloped world. Identifying factors that may modulate coverage can inform effective immunisation programmes andpolicies.Methods We perform a data-driven analysis of unprecedented scale, examining time-varying trends in Diphtheriatetanus-pertussiscoverage across 190 countries over the past three decades. Gaussian process regression is employedto forecast future coverage rates and provide a Vaccine Performance Index: a summary measure of the strength ofimmunisation coverage in a country.Findings Overall vaccine coverage has increased in all five world regions between 1980 and 2010, with markedvariation in volatility and trends. Our Vaccine Performance Index identifies 53 countries with a less than 50% chanceof missing the Global Vaccine Action Plan (GVAP) target of 90% worldwide DTP3 coverage by 2015, in agreementwith recent immunisation data. These countries are mostly sub-Saharan and South Asian, but Austria and Ukraine inEurope also feature. Factors associated with DTP3 immunisation coverage vary by world-region: personal income(! = 0.66, ' < 0.001) and government health spending (! = 0.66, ' < 0.01) are particularly informative in theEastern Mediterranean between 1980 and 2010, whilst primary school completion is informative in Africa (! =0.56, ' < 0.001) over the same time. The fraction of births attended by skilled health staff is significantly informativeacross many world regionsInterpretation A Vaccine Performance Index can highlight countries at risk identifying the strength and resilience ofimmunisation programmes. Weakening correlations with socio-economic factors indicate a need to tackle vaccineconfidence whereas strengthening correlations points to clear factors to address.

JOURNAL ARTICLE

Heaton LLM, Jones NS, Fricker MD, 2016, Energetic Constraints on Fungal Growth, AMERICAN NATURALIST, Vol: 187, Pages: E27-E40, ISSN: 0003-0147

JOURNAL ARTICLE

Johnston IG, Jones NS, 2015, Closed-form stochastic solutions for non-equilibrium dynamics and inheritance of cellular components over many cell divisions, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Vol: 471, ISSN: 1364-5021

JOURNAL ARTICLE

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