Bayesian Emulation and Calibration of a Stochastic Computer Model of Mitochondrial DNA Deletions in Substantia Nigra Neurons

Daniel A. Henderson D. A. Henderson is a Lecturer, School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. . R. J. Boys is Professor of Applied Statistics, School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. . K. J. Krishnan is a Research Fellow, Mitochondrial Research Group, School of Neurology, Neurobiology, and Psychiatry, Medical School, Newcastle University, Newcastle upon Tyne, NE2 4HH, U.K. . C. Lawless is a Research Associate, Institute for Ageing and Health, Newcastle University, Newcastle upon Tyne, NE4 6BE, U.K. . D.J. Wilkinson is Professor of Stochastic Modeling, School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. . The authors are affiliated with the Center for Integrated Systems Biology of Ageing and Nutrition (CISBAN) at Newcastle University, which is supported jointly by the Biotechnology and Biological Sciences Research Council (BBSRC) and the Engineering and Physical Sciences Research Council (EPSRC). This work was funded directly by the BBSRC Bioinformatics and e-Science Program II, grant number BBS/B/16550. Part of this work was carried out during the Program on Development, Assessment and Utilization of Complex Computer Models at the Statistical and Applied Mathematical Sciences Institute (SAMSI), Research Triangle Park, NC 27709–4006. The authors wish to acknowledge Carole Proctor, for her input in developing the biological model, and the Bioinformatics Support Unit, Newcastle University, for use of their services in this project. The authors thank the editor, two anonymous referees, and an associate editor for their insightful comments and suggestions on earlier versions of this article.

Richard J. Boys D. A. Henderson is a Lecturer, School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. . R. J. Boys is Professor of Applied Statistics, School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. . K. J. Krishnan is a Research Fellow, Mitochondrial Research Group, School of Neurology, Neurobiology, and Psychiatry, Medical School, Newcastle University, Newcastle upon Tyne, NE2 4HH, U.K. . C. Lawless is a Research Associate, Institute for Ageing and Health, Newcastle University, Newcastle upon Tyne, NE4 6BE, U.K. . D.J. Wilkinson is Professor of Stochastic Modeling, School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. . The authors are affiliated with the Center for Integrated Systems Biology of Ageing and Nutrition (CISBAN) at Newcastle University, which is supported jointly by the Biotechnology and Biological Sciences Research Council (BBSRC) and the Engineering and Physical Sciences Research Council (EPSRC). This work was funded directly by the BBSRC Bioinformatics and e-Science Program II, grant number BBS/B/16550. Part of this work was carried out during the Program on Development, Assessment and Utilization of Complex Computer Models at the Statistical and Applied Mathematical Sciences Institute (SAMSI), Research Triangle Park, NC 27709–4006. The authors wish to acknowledge Carole Proctor, for her input in developing the biological model, and the Bioinformatics Support Unit, Newcastle University, for use of their services in this project. The authors thank the editor, two anonymous referees, and an associate editor for their insightful comments and suggestions on earlier versions of this article.

Kim J. Krishnan D. A. Henderson is a Lecturer, School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. . R. J. Boys is Professor of Applied Statistics, School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. . K. J. Krishnan is a Research Fellow, Mitochondrial Research Group, School of Neurology, Neurobiology, and Psychiatry, Medical School, Newcastle University, Newcastle upon Tyne, NE2 4HH, U.K. . C. Lawless is a Research Associate, Institute for Ageing and Health, Newcastle University, Newcastle upon Tyne, NE4 6BE, U.K. . D.J. Wilkinson is Professor of Stochastic Modeling, School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. . The authors are affiliated with the Center for Integrated Systems Biology of Ageing and Nutrition (CISBAN) at Newcastle University, which is supported jointly by the Biotechnology and Biological Sciences Research Council (BBSRC) and the Engineering and Physical Sciences Research Council (EPSRC). This work was funded directly by the BBSRC Bioinformatics and e-Science Program II, grant number BBS/B/16550. Part of this work was carried out during the Program on Development, Assessment and Utilization of Complex Computer Models at the Statistical and Applied Mathematical Sciences Institute (SAMSI), Research Triangle Park, NC 27709–4006. The authors wish to acknowledge Carole Proctor, for her input in developing the biological model, and the Bioinformatics Support Unit, Newcastle University, for use of their services in this project. The authors thank the editor, two anonymous referees, and an associate editor for their insightful comments and suggestions on earlier versions of this article.

Conor Lawless D. A. Henderson is a Lecturer, School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. . R. J. Boys is Professor of Applied Statistics, School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. . K. J. Krishnan is a Research Fellow, Mitochondrial Research Group, School of Neurology, Neurobiology, and Psychiatry, Medical School, Newcastle University, Newcastle upon Tyne, NE2 4HH, U.K. . C. Lawless is a Research Associate, Institute for Ageing and Health, Newcastle University, Newcastle upon Tyne, NE4 6BE, U.K. . D.J. Wilkinson is Professor of Stochastic Modeling, School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. . The authors are affiliated with the Center for Integrated Systems Biology of Ageing and Nutrition (CISBAN) at Newcastle University, which is supported jointly by the Biotechnology and Biological Sciences Research Council (BBSRC) and the Engineering and Physical Sciences Research Council (EPSRC). This work was funded directly by the BBSRC Bioinformatics and e-Science Program II, grant number BBS/B/16550. Part of this work was carried out during the Program on Development, Assessment and Utilization of Complex Computer Models at the Statistical and Applied Mathematical Sciences Institute (SAMSI), Research Triangle Park, NC 27709–4006. The authors wish to acknowledge Carole Proctor, for her input in developing the biological model, and the Bioinformatics Support Unit, Newcastle University, for use of their services in this project. The authors thank the editor, two anonymous referees, and an associate editor for their insightful comments and suggestions on earlier versions of this article.

Darren J. Wilkinson D. A. Henderson is a Lecturer, School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. . R. J. Boys is Professor of Applied Statistics, School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. . K. J. Krishnan is a Research Fellow, Mitochondrial Research Group, School of Neurology, Neurobiology, and Psychiatry, Medical School, Newcastle University, Newcastle upon Tyne, NE2 4HH, U.K. . C. Lawless is a Research Associate, Institute for Ageing and Health, Newcastle University, Newcastle upon Tyne, NE4 6BE, U.K. . D.J. Wilkinson is Professor of Stochastic Modeling, School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K. . The authors are affiliated with the Center for Integrated Systems Biology of Ageing and Nutrition (CISBAN) at Newcastle University, which is supported jointly by the Biotechnology and Biological Sciences Research Council (BBSRC) and the Engineering and Physical Sciences Research Council (EPSRC). This work was funded directly by the BBSRC Bioinformatics and e-Science Program II, grant number BBS/B/16550. Part of this work was carried out during the Program on Development, Assessment and Utilization of Complex Computer Models at the Statistical and Applied Mathematical Sciences Institute (SAMSI), Research Triangle Park, NC 27709–4006. The authors wish to acknowledge Carole Proctor, for her input in developing the biological model, and the Bioinformatics Support Unit, Newcastle University, for use of their services in this project. The authors thank the editor, two anonymous referees, and an associate editor for their insightful comments and suggestions on earlier versions of this article.

Bayesian Emulation and Calibration of a Stochastic Computer Model of Mitochondrial DNA Deletions in Substantia Nigra Neurons

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Bayesian Emulation and Calibration of a Stochastic Computer Model of Mitochondrial DNA Deletions in Substantia Nigra Neurons

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