Preprints

♦ R Singharia, GJ Thorn, K Williams, RD Gandhi, C Daher, A Barthet-Barateig, HN Parker, W Utami, M Al-Siraj, DA Barrett, JAD Wattis, CH de Moor, Nuclear poly(A) tail size is regulated by Cnot1 during the serum response. submitted, , (2019).

2020

♦ JAD Wattis, Q Qi, HM Byrne. Mathematical modelling of telomere length dynamics. J Math Biol, 80, 1039-1076, (2020).

♦ JAD Wattis, ASM Alzaidi. Asymptotic analysis of breather modes in a two-dimensional mechanical lattice. Physica D, 401, 132207, (2020).

2019

♦ E Acheompong, IL Dryden, JAD Wattis, J Twycross, M Scrimshaw, RL Gomes. Modelling emerging pollutants in wastewater treatment processes: a case study of 17α – ethinylestradiol pharmaceutical. Computers and Chemical Engineering, 128, 477-487, (2019).

♦ A Khanam JAD Wattis, MK Hassan. Random sequential nucleation of point-sized seed and growth of fixed-size grain. Phys Rev E, 99, 042110 (7pp), (2019).

♦ JAD Wattis. Travelling waves in the diatomic FPU lattice. AIMS Mathematics in Engineering, 1, 327-342, (2019).

♦ A Pickering, PR Gordoa, JAD Wattis. The second Painleve equation, a related nonautonomous semidiscrete equation and a limit to the first Painleve equation: scalar and matrix cases. Physica D, 391, 72-86, (2019).

2018

♦ JAD Wattis, PR Gordoa, A Pickering. Behaviour of the extended modified Volterra lattice — reductions to generalised mKdV and NLS equations. Commun Nonlin Sci Numer Simul, 65, 98-110, (2018).

2017

♦ JAD Wattis, Shape of transition layers in a differential-delay equation. IMA J Appl Math, 82, 681-696, (2017).

♦ S Ahmad, H Susanto, and JAD Wattis, Band-gaps in long Josephson junctions with periodic phase-shifts. Physics Letters A 381, 1181-1191, (2017).

2016

♦ DM Brown, HE Williams, KJP Ryan, T Wilson, ZCTR Daniel, MHD Mareko, RD Emes, DW Harris, S Jones, JAD Wattis, IL Dryden, CT Hodgman, JM Brameld, T Parr, Mitochondrial phosphoenolpyruvate carboxykinase (PEPCK-M) and serine biosynthetic pathway genes are co-ordinately increased during anabolic agent-induced skeletal muscle growth. Scientific Reports, 6, 28693, (2016).

♦ T Pearson, JAD Wattis, JR King, I MacDonald, D Mazzati. The effects of insulin resistance on individual tissues: an application of a mathematical model of metabolism in humans., Bull Math Biol, 78, 1189-1217, (2016).

♦ WR Smith, JAD Wattis, Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices, Euro J Appl Math, 27, 23-41, (2016).

2015

♦ JAD Wattis. Asymptotic approximation of discrete breather modes in two-dimensional lattices. p.179-201 of ‘Quodons in Mica’, eds JFR Archilla et al. Springer Series in Materials Science, Springer, (2015).

♦ T Parr, K Ryan, H Williams, D Harris, D Brown, M Mareko, R Emes, T Giles, J Wattis, I Dryden, C Lu C Hodgman, J Brameld, Skeletal muscle hypertrophy in pigs is associated with an increased expression of serine biosynthetic pathway genes along with genes associated with an endoplasmic reticulumn stress response, Proc Nutrition Soc, 74, E278 (2015).

♦ L Reeve, JAD Wattis. Random sequential adsorption with two components: asymptotic analysis of finite size effects on coverage. J Phys A; Math Theor, 48, 235001, (17pp), (2015).

♦ JAD Wattis, A Pickering, PR Gordoa. Behaviour of the extended Toda lattice. Commun Nonlinear Sci Numer Simul, 28, 138-150, (2015).

♦ A Ali, H Susanto, JAD Wattis. Decay of bound states in a sine-Gordon equation with double well potentials. J Math Phys, 56, 051502, (2015).

♦ B Purves, L Reeve, JAD Wattis, Y Mao., Scaling behaviour near jamming in random sequential adsorption. Phys Rev E, 91, 022118, (2015).

♦ AC Pratt, JAD Wattis, AM Salter. Mathematical modelling of hepatic lipid metabolism. Mathematical Biosciences, 262, 167-181, (2015). Erratum

2014

♦ T Pearson, JR King, JAD Wattis, I MacDonald, D Mazzati. A mathematical model of the human metabolic system and metabolic flexibility., Bull Math Biol, 76, 2091-2121, (2014).

♦ JAD Wattis, LM James. Discrete breathers in honeycomb FPU lattices. J Phys A; Math Theor, 47, 345101, (2014).

♦ Q Qi, JAD Wattis, HM Byrne. Stochastic simulations of normal aging and Werner’s syndrome. Bull Math Biol, 76, 1241-1269, (2014).

♦ PR Gordoa, A Pickering, JAD Wattis. Nonisospectral scattering problems and similarity reductions Applied Mathematics and Computation, 237, 77-84, (2014).

♦ A Pickering, PR Gordoa, JAD Wattis, Behaviour of the extended Volterra lattice., Commun Nonlinear Sci Numer Simulat, 19, 589-600, (2014).

♦ BV Hirt, S Preston, JAD Wattis. Modelling the regulation of telomere length: the effects of telomerase and G-quadruplex stabilising drugs., J Math Biol, 68, 1521-1552, (2014).

2013

♦ A Ali, H Susanto, JAD Wattis. Rapidly oscillating ac-driven long Josephson junctions with phase-shifts, Physica D, 246, 15-22, (2013).

2012

♦ JAD Wattis. A coagulation-disintegration model of Oort-Hulst cluster-formation. J Phys A; Math Theor,45, 425001, (18 pages), (2012).

♦ M Hamer, JAD Wattis, RS Graham. A method to project the rate kinetics of high dimensional barrier crossing problems onto a tractable 1D system. Soft Matter, 8, 11396-11408, (2012).

♦ PV Coveney, JB Swadling, JAD Wattis, HC Greenwell. Theory, Modelling and Simulation in Origins of Life Studies. Chem Soc Rev, 41, 5430-5446, (2012).

♦ BV Hirt, JAD Wattis, SP Preston, CA Laughton. Mathematical investigation into the effects of the anti-cancer compound RHPS4 on cell-cycle dynamics. J Theor Biol, 294, 9-22, (2012).

2011

♦ E Allen, A Moing, JAD Wattis, A Larson, M Maucourt, IA Graham, D Rolin, MA Hooks. Evidence that acetate non-utilizing 1 prevents carbon leakage from peroxisomes during lipid mobilization in Arabidopsis seedlings. Biochemical Journal, 437, 505-513, (2011).

♦ CI Duduiala, JAD Wattis, CA Laughton. Self-organised criticality in base-pair breathing in DNA with a defect. Physica D, 240, 1254-1261, (2011).

♦ JAD Wattis. Mathematical models of the homochiralisation of crystals by grinding. Origins of Life and Evolution of Biospheres, 41, 133-173. (2011).

♦ JAD Wattis, A Pickering, P Gordoa. Combined breathing-kink modes in the FPU lattice. Physica D, 240, 547-553, (2011).

♦ A Ali, H Susanto, JAD Wattis. Breathing modes of long Josephson junctions with phase-shifts. SIAM J Appl Math, 71, 242-269, (2011).

2010

♦ S Ahmad, H Susanto, JAD Wattis. Existence and stability analysis of semifluxons in disk-shaped two-dimensional 0- pi Josephson junctions. Phys Rev B, 82, 174504, (2011). [Also in Nov 15, 2010 issue of Virtual Journal of Applications of Superconductivity.]

♦ MA Hooks, E Allen, JAD Wattis. Modelling the peroxisomal carbon leak during lipid mobilization in Arabidopsis. Biochem Soc Trans, 38, 1230-3, (2010).

♦ MJ Hamer, JAD Wattis, RS Graham. Analytic calculation of nucleation rates from a kinetic Monte Carlo simulation of flow-induced crystallization in polymers. Journal of Non-Newtonian Fluid Mechanics, 165, 1294-1301, (2010).

2009

♦ CI Duduiala, JAD Wattis, IL Dryden, CA Laughton. Nonlinear breathing modes at a defect site in DNA. Phys Rev E, 80, 061906, (2009).

♦ S Ahmad, H Susanto, JAD Wattis. Existence and stability analysis of finite 0-pi-0 Josephson junctions. Phys Rev B, 80, 064515, (9pp), (2009). [Also in Virt J Applics of Superconductivity, Sept 1, (2009)]

♦ X Yi, JAD Wattis, H Susanto, LJ Cummings. Discrete breathers in a two-dimensional spring-mass lattice. J Phys A; Math Theor, 42, 355207, (26pp), (2009).

♦ JL Siggers, SL Waters, JAD Wattis, LJ Cummings. Flow dynamics in a stented ureter. Math Med & Biol, 26, 1–24, (2009).

♦ L Band, SL Waters, LJ Cummings, JAD Wattis. Aggregation and flow down a pipe, J Math Biol, 59, 809-840, (2009).

♦ Z Mimouni, JAD Wattis. Coagulation with an inverse kernel. Physica A, 388, 1067-1073, (2009).

♦ JAD Wattis. The modified Becker-Doring system with aggregation dominated rate coefficients. J Phys A; Math Theor, 42, 045002, 17pp, (2009).

♦ MJ Tindall, JAD Wattis, B O’Malley, L Pickersgill, KG Jackson. Continuum receptor model of hepatic lipoprotein metabolism. J Theor Biol, 257, 371-384, (2009).

♦ T Pearson, JAD Wattis, HM Byrne, B O’Malley, L Pickersgill, Mathematical modelling of competitive LDL/VLDL binding and uptake by hepatocytes. J Math Biol, 58, 845-880. (2009).

2008

♦ JAD Wattis, B O’Malley, H Blackburn, J Panovska, HM Byrne, L Pickersgill, KG Jackson. Mathematical models of low density lipoprotein (LDL) endocytosis by hepatocytes. Bull Math Biol, 70, 2303-2333, (2008).

♦ SL Waters, K Heaton, JH Siggers, R Bayston, M Bishop, LJ Cummings, DM Grant; JM Oliver & JAD Wattis. Ureteric stents: Investigating flow and encrustation. Proc Inst Mech Eng, Part H, J Eng Med, 222, 551-561, (2008).

2007

♦ JAD Wattis & PV Coveney. Sequence selection during copolymerisation. J Phys Chem, 111, 9546-9562, (2007).

♦ IA Butt & JAD Wattis. Asymptotic analysis of combined breather-kink modes in a Fermi-Pasta-Ulam chain, Physica D, 231, 165-179, (2007).

♦ IA Butt & JAD Wattis. Discrete breathers in a two-dimensional hexagonal Fermi-Pasta-Ulam lattice. J Phys A Math Theor, 40, 1239-1264, (2007).

♦ FP da Costa, JT Pinto, R Sasportes, H van Roessel & JAD Wattis. Oberwolfach Reports, 4(4), 2754-2756, (2007).

2006

♦ JAD Wattis. An introduction to the fundamental mathematical models of coagulation-fragmentation processes. Physica D, 222, 1-20, (2006). Also the Preface to this special issue, which was edited jointly by FP da Costa, M Grinfeld, W Lamb and JAD Wattis [Physica D, 222, vii-viii, (2006)].

♦ E Maltsev, JAD Wattis & HM Byrne. DNA charge neutralisation by linear polymers II: reversible binding. Phys Rev E, 74, 041918, (2006).

♦ E Maltsev, JAD Wattis & HM Byrne. DNA charge neutralisation by linear polymers: irreversible binding. Phys Rev E, 74, 011904, (2006); also appears in Virt J Biol Phys Res, 12, www.vjbio.org, (2006).

♦ JAD Wattis. Exact solutions for multi-component coagulation: cluster-growth with evolving size and shape profiles. J Phys A; Math Gen, 39, 7283-7298, (2006).

♦ IA Butt & JAD Wattis. Discrete breathers in a two-dimensional Fermi-Pasta-Ulam lattice. J Phys A; Math Gen, 39, 4955-4984, (2006).

♦ FP da Costa, H van Roessel & JAD Wattis. Long-time behaviour and self-similarity in a coagulation equation with input of monomers. Markov Process Related Fields, 12, 367-398, (2006). arXiv.org/abs/nlin.AO/0402037

♦ PV Coveney & JAD Wattis. Coarse-graining and renormalisation group methods for the elucidation of the kinetics of complex nucleation and growth processes. Mol Phys, 104, 177-185, (2006).

2005

♦ JH Siggers, LJ Cummings, SL Waters and JAD Wattis The effect of ureteric stents on urine flow. In: Proceedings ASME Bioengineering conference, (2005).

♦ JH Siggers, LJ Cummings, SL Waters, JAD Wattis. Ureteric stents: investigating flow and encrustation, Seventh Meeting of the Biofilm Club, In: AJ McBain, D Allison, J Pratten, DA Spratt, M Upton & J Verran, editors, Biofilms: Persistence and Ubiquity, Biofilm Club, 7, 205-209, (2005).

♦ JAD Wattis & PV Coveney. Chiral polymerisation and the RNA world. Int J Astrobiology, 4, 63-73, (2005).

♦ JAD Wattis & PV Coveney. Symmetry-breaking in chiral polymerisation, Origins of Life and the Evolution of Biospheres, 35, 243-273, (2005). arXiv.org/abs/physics/0402091

2004

♦ JAD Wattis. Similarity solutions for the Becker-Doring equations with continuous input of monomer. J Phys A; Math Gen, 37, 7823-7841, (2004).

♦ LJ Cummings, SL Waters, JAD Wattis and SJ Graham. The effect of ureteric stents on urine flow: reflux. J Math Biol, 49, 56-82, (2004).

♦ JAD Wattis. Nonlinear breathing modes due to a defect. Phil Trans Roy Soc Lond A, 362, 1461-1477, (2004).

♦ JAD Wattis, CD Bolton & PV Coveney. The Becker-Doring equations with exponentially size-dependent rate coefficients. J Phys A Math Gen, 37, 2895-2912, (2004).

♦ JAD Wattis, DG McCartney & T Gudmundsson. Coagulation equations with mass loss. J Eng Math, 49, 113-131, (2004).

♦ CD Bolton & JAD Wattis. The Becker-Doring equations with input, competition and inhibition. J Phys A Math Gen, 37, 1971-1986, (2004).

2003

♦ CD Bolton & JAD Wattis. The size-templating matrix effect in vesicle formation II: a macroscopic models and analysis. J Phys Chem B, 107, 14306-14318, (2003).

♦ CD Bolton & JAD Wattis. The size-templating matrix effect in vesicle formation I: a microscopic model and analysis. J Phys Chem B, 107, 7126-7134 (2003).

♦ CD Bolton & JAD Wattis. Generalised coarse-grained Becker-Doring equations. J Phys A Math Gen, 36, 7859-7888, (2003).

♦ JG Byatt-Smith, AA Lacey, DF Parker, D Simpson, WR Smith & JAD Wattis. Mathematical modelling of homeless populations. Math Scientist, 28, 1-12, (2003).

2002

♦ C Bolton & JAD Wattis. General Becker-Doring equations: effect of dimer interactions. J Phys A Math Gen, 35, 3183-3202, (2002).

♦ FP da Costa, M Grinfeld, JAD Wattis. A hierarchical cluster system based on Horton-Strahler rules for river networks. Studies in Applied Mathematics, 109, 163-204, (2002).

♦ JR King & JAD Wattis. Asymptotic solutions of the Becker-Doring equations with size-dependent rate constants. J Phys A Math Gen, 35, 1357-1380, (2002).

2001

♦ JAD Wattis & PV Coveney. Renormalization -theoretic analysis of non-equilibrium phase transitions II: the effect of perturbations on rate coefficients in the Becker-Doring equations. J Phys A Math Gen, 34, 8697-8726, (2001).

♦ JAD Wattis & PV Coveney. Renormalization-theoretic analysis of non-equilibrium phase transitions I: the Becker-Doring equations with power law rate coefficients. J Phys A Math Gen, 34, 8679-8695, (2001).

♦ RB Tew & JAD Wattis. Quasi-continuum approximations for travelling kinks in diatomic lattices. J Phys A; Math Gen, 34, 7163-7180, (2001).

♦ J Harris, JAD Wattis & JV Wood. A comparison of potential models for mechanical alloying. Acta Met, 49, 3991-4003, (2001).

♦ JAD Wattis. [Quasi-continuum approximations for diatomic lattices. Phys Lett A, 284, 16-22, (2001).

♦ JAD Wattis, SA Harris, C Grindon & CA Laughton. Dynamic model of base pair breathing in a DNA chain with a defect. Phys Rev E, 63, 061903, (2001).

2000

♦ JAD Wattis. Quasi-continuum approximations to lattice equations arising from the discrete nonlinear telegraph equation. J Phys A: Math Gen, 33, 5925-5944, (2000).

1999

♦ JAD Wattis. A Becker-Doring model of competitive nucleation. J Phys A: Math Gen, 32, 8755-8784, (1999).

♦ JAD Wattis & PV Coveney. The origin of the RNA world: a kinetic model. J Phys Chem, 103, 4231-4250, (1999).

♦ JAD Wattis & PV Coveney. Mesoscopic models of nucleation and growth processes: a challenge to experiment. PCCP, 1, 2163-2176, (1999).

♦ SC Davies, JR King & JAD Wattis. The Smoluchowski coagulation equations with continuous injection; J Phys A; Math Gen, 32, 7745-7763, (1999).

♦ SC Davies, JR King & JAD Wattis. Self-similar behaviour in the coagulation equations. J Eng Math., 36, 57-88, (1999).

♦ PV Coveney & JAD Wattis. Cluster renormalization for the Becker-Doring equations.; J Phys A: Math Gen, 32, 7145-7152, (1999).

1998

♦ JAD Wattis & JR King. Asymptotic solutions of the Becker-Doring equations. J Phys A; Math Gen, 31, 7169-7189, (1998).

♦ JAD Wattis. Stationary breather modes of generalised nonlinear Klein-Gordon lattices, J Phys A; Math Gen, 31, 3301-3323, (1998).

♦ PV Coveney & JAD Wattis. A Becker-Doring model of self-reproducing vesicles. J. Chem. Soc.: Faraday Transactions, 94, 233-246, (1998)

1997

♦ JAD Wattis & PV Coveney. Generalised nucleation theory with inhibition for chemically reacting systems. J Chem Phys, 106, 9122-9140, (1997).

1996

♦ JAD Wattis. Approximations to solitary waves on lattices, III: monatomic lattice with second neighbour interactions, J Phys A; Math Gen, 29, 8139-8157, (1996).

♦ JAD Wattis. Variational approximations to breathers in the discrete sine-Gordon equation II: moving breathers and Peierls-Nabarro energies. Nonlinearity, 9, 1583-1598, (1996).

♦ PV Coveney & JAD Wattis. Analysis of a generalized Becker-Doring model of self-reproducing micelles. Proc. Roy. Soc. Lond. A, 452, 2079-2102, (1996).

♦ JAD Wattis. Discrete sine–Gordon breathers – a variational approach and a Peierls–Nabarro energy analysis. Proceedings of the Euroconference on Nonlinear Klein-Gordon and Schrodinger systems: theory and applications, San Lorenzo de El Escorial, Madrid, Spain. Ed. L Vazques, L Streit & VM Perez-Garcia. World Scientific, Singapore, (1996).

1995

♦ JAD Wattis. Variational approximations to breather modes in the discrete sine-Gordon equation. Physica , D 82, 333-339, (1995).

1994

♦ JAD Wattis. Solitary waves on a two-dimensional lattice. Physica Scripta, 50, 238-242, (1994).

♦ G Friesecke & JAD Wattis. Existence theorem for travelling waves on lattices, Commun Math Phys., 161, 391-418, (1994).

1993

♦ JAD Wattis. Approximations to solitary waves on lattices, II: quasi-continuum approximations for fast and slow waves. J Phys A; Math Gen, 26, 1193-1209, (1993).

♦ N Flytzanis, BA Malomed & JAD Wattis. Analysis of stability of solitons in one-dimensional lattices. Phys Lett A, 180, 107-112, (1993).

♦ DB Duncan, JC Eilbeck, H Feddersen, & JAD Wattis. Solitons on lattices. Physica, D 68, 1-11, (1993).

1992

♦ DB Duncan & JAD Wattis. Approximations to solitary waves on lattices, use of identities and the Lagrangian formulation. Chaos, Solitons & Fractals. 2, 505-518, (1992).

1991

♦ DB Duncan, CH Walshaw & JAD Wattis. A symplectic solver for lattice equations, in Lecture Notes in Physics Vol. 393. Nonlinear Coherent Structures in Physics and Biology. pp. 151-158. Eds: M Remoissenet & M Peyrard, Springer-Verlag, (1991).

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