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Frank Ball

Professor of Applied Probability, Faculty of Science

Personal Details
Publications

Contact

workRoom C08 The Mathematical Sciences Building
University Park
Nottingham
NG7 2RD
UK
work0115 9514969
fax0115 9514951
frank.ball@nottingham.ac.uk

Research Summary

Modelling and statistical inference for epidemics. Modelling and statistical inference for ion channels

Recent Publications

PELLIS, L, BALL, F and TRAPMAN, P, 2012. Reproduction Numbers For Epidemic Models With Households And Other Social Structures. I. Definition And Calculation Of R-0 Mathematical Biosciences. 235(1), 85-97
BALL, F and SIRL, D, 2012. An SIR epidemic model on a population with random network and household structure, and several types of individuals.: A multitype network and household model Advances in Applied Probability. 44(1), 63-86
BALL, F, BRITTON, T and SIRL, D, 2011. Household Epidemic Models With Varying Infection Response Journal Of Mathematical Biology. 63(2), 309-337
BALL, FG, KNOCK, ES and O'NEILL, PD, 2011. Threshold Behaviour Of Emerging Epidemics Featuring Contact Tracing Advances In Applied Probability. 43(4), 1048-1065

View all publications

PELLIS, L, BALL, F and TRAPMAN, P, 2012. Reproduction Numbers For Epidemic Models With Households And Other Social Structures. I. Definition And Calculation Of R-0 Mathematical Biosciences. 235(1), 85-97
BALL, F and SIRL, D, 2012. An SIR epidemic model on a population with random network and household structure, and several types of individuals.: A multitype network and household model Advances in Applied Probability. 44(1), 63-86
BALL, F, BRITTON, T and SIRL, D, 2011. Household Epidemic Models With Varying Infection Response Journal Of Mathematical Biology. 63(2), 309-337
BALL, FG, KNOCK, ES and O'NEILL, PD, 2011. Threshold Behaviour Of Emerging Epidemics Featuring Contact Tracing Advances In Applied Probability. 43(4), 1048-1065
BALL, F. and NEAL, P., 2010. Applications of branching processes to the final size of SIR epidemics LECTURE NOTES IN STATISTICS -NEW YORK- SPRINGER VERLAG-. VOL 197, 207-224
BALL, FRANK, SIRL, DAVID and TRAPMAN, PIETER, 2010. Analysis of a stochastic SIR epidemic on a random network incorporating household structure. Mathematical biosciences. 224(2), 53-73
BALL, F.G. and BRITTON,T., 2009. An epidemic model with infector and exposure dependent severity Mathematical Biosciences. 218(2), 105-120
STEFANOV, V.T. and BALL, F., 2009. Reward distributions associated with some block tridiagonal transition matrices with applications to identity by descent ADVANCES IN APPLIED PROBABILITY. VOL 41(NUMB 2), 523-545
BALL, F, SIRL, D and TRAPMAN, P, 2009. Threshold Behaviour And Final Outcome Of An Epidemic On A Random Network With Household Structure Advances In Applied Probability. 41(3), 765-796
BALL, F.G and KNOCK, E.S. AND O'NEILL, P. D., 2008. Control of emerging infectious diseases using responsive imperfect vaccination and isolation. Mathematical Biosciences. 216(1), 100-13
BALL, F.G., DRYDEN, I.L. and GOLALIZADEH, M., 2008. Brownian motion and Ornstein-Uhlenbeck processes in planar shape space Methodology and Computing in Applied Probability. 10, 1-22
BALL, F. and NEAL, P., 2008. Network epidemic models with two levels of mixing Mathematical Biosciences. VOL 212(NUMBER 1), 69-87
BALL, F., O'NEILL, P.D. and PIKE, J., 2007. Stochastic epidemic models in structured populations featuring dynamic vaccination and isolation Journal of Applied Probability. 44(3), 571-585
BALL, F.G., MILNE, R.K. and YEO, G.F., 2007. Marked continuous-time Markov chain modelling of burst properties of single ion channels Journal of Applied Mathematics and Decision Sciences. 2007,
BALL, F.G. and BRITTON,T., 2007. An epidemic model with infector-dependent severity Advances in Applied Probability. 39(4), 949-972
BALL, F., DRYDEN, I.L. and GOLALIZADEH, M., 2006. Discussion to the paper by Beskos, Papaspiliopoulos, Roberts and Fearnhead. Journal of the Royal Statistical Society, Series B (Methodological). 68, 367--368
BALL, FRANK and LYNE, OWEN, 2006. Optimal vaccination schemes for epidemics among a population of households, with application to variola minor in Brazil. Statistical Methods in Medical Research. 15(5), 481-97
BALL, F. and BECKER, N. G., 2006. Control of transmission with two types of infection Mathematical Biosciences. VOL 200(NUMBER 2), 170-187
BALL, F. and BRITTON, T., 2005. An epidemic model with exposure-dependent severities Journal of Applied Probability. VOL 42(NUMB 4), 932-949
BALL, F. and MILNE, R.K., 2005. Simple derivations of properties of counting processes associated with Markov renewal processes Journal of Applied Probability. VOL 42(NUMB 4), 1031-1043
BALL, F. and STEFANOV, V. T., 2005. Evaluation of identity-by-descent probabilities for half-sibs on continuous genome Mathematical Biosciences. VOL 196(NUMBER 2), 215-225
BALL, F. and NEAL, P., 2004. Poisson approximations for epidemics with two levels of mixing The Annals of Probability. 32(1B), 1168-1200
BALL, F.G., BRITTON, T. and LYNE, O.D., 2004. Stochastic multitype epidemics in a community of households: Estimation of threshold parameter <i>R</i><sub>*</sub> and secure vaccination coverage Biometrika. 91(2), 345-362
BALL, F.G., MILNE, R.K. and YEO, G.F., 2004. A unified approach to burst properties of multiconductance single ion channels Mathematical Medicine and Biology. VOL 21(NUMBER 3), 205-245
BALL, F., BRITTON, T. and LYNE, O., 2004. Stochastic multitype epidemics in a community of households: estimation and form of optimal vaccination schemes Mathematical Biosciences. VOL 191(NUMBER 1), 19-40
BALL, F.G. and MILNE, R.K., 2004. Applications of simple point process methods to superpositions of aggregated stationary processes Australian and New Zealand Journal of Statistics. 46, 181-196
BALL, F. and NEAL, P., 2003. The great circle epidemic model Stochastic Processes and their Applications. 107(2), 233-268
BALL, F. and NEAL, P., 2002. A general model for stochastic SIR epidemics with two levels of mixing Mathematical Biosciences. VOL 180(NUMBER 1-2), 73-102
BALL, F., MILNE, R.K. and YEO, G.F., 2002. Multivariate semi-Markov analysis of burst properties of multiconductance single ion channels Journal of Applied Probability. VOL 39(PART 1), 179-196
BALL, F.G., BRITTON, T. and O'NEILL, P.D., 2002. Empty confidence sets for epidemics, branching processes and Brownian motion Biometrika. VOL 89(PART 1), 211-224
BALL, F.G. and LYNE, O.D., 2002. Epidemics among a population of households In: Mathematical Approaches for Emerging and Reemerging Infectious Diseases. 115-142
BALL, F. G. and LYNE, O. D., 2002. Optimal vaccination policies for stochastic epidemics among a population of households Mathematical Biosciences. VOL 177-178, 333-354
BALL, F. and LYNE, O.D., 2001. Stochastic multitype SIR epidemics among a population partitioned into households Advances in Applied Probability. 33(1), 99-123
BALL, F. and STEFANOV, V. T., 2001. Further approaches to computing fundamental characteristics of birth-death processes Journal of Applied Probability. VOL 38(PART 4), 995-1005
BALL, F.G. and YEO, G.F., 2000. Superposition of spatially interacting aggregated continuous time Markov chains Methodology and Computing in Applied Probability. 2, 93-116
BALL, F. G., MILNE, R. K. and YEO, G. F., 2000. Stochastic models for systems of interacting ion channels IMA Journal of Mathematics Applied in Medicine and Biology. VOL 17(PART 3), 263-293
LYNE, O.D. and BALL, F.G., 1999. Parameter estimation for SIR epidemics in households In: 52nd Session Contributed Papers. 251-252
BALL, F., 1999. Central limit theorems for multivariate semi-Markov sequences and processes, with applications Journal of Applied Probability. VOL 36(PART 2), 415-432
BALL, F., 1999. Stochastic and deterministic models for SIS epidemics among a population partitioned into households Mathematical Biosciences. VOL 156(NUMBER 1/2), 41-68
BALL, F. and WINCH, T., 1999. A Current-Based Model for Time Interval Omission in Markov Single Ion Channel Gating Mechanisms COMMUNICATIONS IN STATISTICS STOCHASTIC MODELS. VOL 15(NUMBER 4), 661-694
BALL, F. G., CAI, Y., KADANE, J. B. and O'HAGAN, A., 1999. Bayesian inference for ion-channel gating mechanisms directly from single-channel recordings, using Markov chain Monte Carlo Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. VOL 455(MNTH AUG), 2879-2932
BALL, F., 1997. Empirical clustering of bursts of openings in Markov and semi-Markov models of single channel gating incorporating time interval omission Advances in Applied Probability. VOL 29(NUMBER 4), 909-946
BALL, F., MILNE, R. K., TAME, I. D. and YEO, G. F., 1997. Superposition of interacting aggregated continuous-time Markov chains Advances in Applied Probability. VOL 29(NUMBER 1), 56-91
BALL, F., MOLLISON, D. and SCALIA-TOMBA, G., 1997. Epidemics with two levels of mixing Annals of Applied Probability. VOL 7(NUMBER 1), 46-89
BALL, F., DUNHAM, B. and HIRSCHOWITZ, A., 1997. On the Mean and Variance of Cover Times for Random Walks on Graphs Journal of Mathematical Analysis and Applications. VOL 207(NUMBER 2), 506-514
BALL, F.G., 1997. The threshold behaviour of stochastoc epidemics In: Advances in Mathematical Population Dynamics. 407-424

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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