Pak-Wing Fok - Publications
Book Chapters
Papers in Refereed Conference Proceedings
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4. N. Mohammad Mirzaei and P.-W. Fok,
Three Dimensional Finite Element Simulation of Atherosclerosis via Morphoelasticity,
Molecular and Cellular Biomechanics 16 (S2), pp 32 -- 33, ICBME 2019.
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3. P.-W. Fok, Mechanical model of Glagov remodeling in coronary arteries,
5th International
Conference on Computational and Mathematical Biomedical Engineering, Pittsburgh (Volume 1, 2017).
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2. K. R. Ghusinga, P.-W. Fok and A. Singh,
Optimal auto-regulation to minimize first-passage time variability in gene expression,
2015 American Control Conference, Chicago. (pdf)
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1. M. G. Doyle, T. L. Stepien, P.-W. Fok, H. Huang, G. Lewis, S. Sivalognathan, R. Vandiver,
C. A. Simmons, Numerical Methods for the Calculation of Material Parameter Values
for Three-layered Aortic Valve Leaflets, 4th Canadian Conference on Nonlinear
Solid Mechanics (CanCNSM 2013). (pdf)
Journal Publications
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36. A. Mukherjee and P.-W. Fok,
Simulation of Intimal Thickening induced by Hemodynamical Shear Stress,
submitted to Mathematical Medicine and Biology
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35. H. Pei, P.-W. Fok and L. Rossi,
Stochastic modeling of Karlotoxin influence on prey,
IMA Journal of Applied Mathematics (2024) Publisher's Version
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34. P.-W. Fok,
Shear stress regulation in cylindrical arteries through medial growth and nitric oxide release,
Journal of Mathematical Biology 86 (55) (2023)
Author's Manuscript
Publisher's Version
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33. A. Fleischhacker, P.-W. Fok, M. Madiman, and N. Wu,
A Closed-Form EVSI Expression for a Multinomial Data-Generating Process
Decision Analysis 20 (1) (2022)
Author's Manuscript
Publisher's Version
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32. A. Mukherjee and P.-W. Fok,
A new approach to calculating fiber fields in 2D vessel cross sections using conformal maps,
Mathematical Biosciences and Engineering 20 (2) pp 3610 -- 3623 (2022)
Publisher's Version
Author's Manuscript
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31. P. Lanzer, F. M. Hannan, J. D. Lanzer, J. Janzen, P. Raggi, D. Furniss,
M. Schuchardt, R. Thakker, P.-W. Fok, J. Saez-Rodriguez, A. Millan,
Y. Sato, R. Ferraresi, R. Virmani, and C. St. Hilaire,
Medial Arterial Calcification: JACC State-of-the-Art Review,
Journal of the American College of Cardiology 78 (11) pp 1145 -- 1165 (2021).
Publisher's Version
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30. N. Mohammad Mirzaei and P.-W. Fok,
Simple model of atherosclerosis in cylindrical arteries: impact
of anisotropic growth on Glagov Remodeling,
Mathematical Medicine and Biology 38 (1) pp 59 -- 82 (2021).
Publisher's Version
Author's Manuscript
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29. N. Mohammad Mirzaei, W. S. Weintraub and P.-W. Fok,
An integrated approach to simulating the vulnerable atherosclerotic plaque,
American Journal of Physiology: Heart and Circulatory Physiology 319 H835 -- H846 (2020).
Publisher's Version
Author's Manuscript
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28. P.-W. Fok and K. Gou,
Finite Element Simulation of Intimal Thickening
in 2D Arterial Cross Sections by Morphoelasticity, Computer Methods
in Applied Mechanics and Engineering 363 112860 (2020).
Publisher's Version
Author's Manuscript
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27. M. Houser and P.-W. Fok,
Convergence of Sums of Dependent Bernoulli Random Variables: An Application from Portfolio Theory,
Communications in Statistics - Theory and Methods 48 (23) pp 5673 -- 5681 (2019)
Publisher's Version
Author's Manuscript
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26. P.-W. Fok and P. Lanzer,
Media sclerosis drives and localizes atherosclerosis in peripheral arteries,
PLoS ONE 13 (10) (2018)
Publisher's Version (open access)
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25. K. Gou, P.-W. Fok and Y. Fu,
Nonlinear Tubular Organ Modeling and Analysis for Tracheal Angioedema by Swelling-Morphoelasticity,
Journal of Engineering Mathematics 112 (1) pp 95 -- 117 (2018)
Author's Manuscript
Publisher's Version
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24. Y. Zhou and P.-W. Fok,
Folding Kinetics of Proteins with Multiple Domains: Inference of Transition Rates from Extinction Times, Journal of Physics Communications 2 (7) 075002 (2018)
Publisher's Version (open access)
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23. R. Austin, S. Fones, D. Santoleri, K. Thomesen and P.-W. Fok,
Derivation of Explicit Solutions Describing Early Stages of Platelet Activation,
American Journal of Undergraduate Research 14 (3) pp 101 -- 117 (2017)
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22. P.-W. Fok, Multi-layer Mechanical Model of Glagov
Remodeling in Coronary Arteries: Differences between
In-Vivo and Ex-Vivo Measurements,
PLoS ONE 11 (7) (2016).
Publisher's Version (open access)
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21. P.-W. Fok and R. Sanft,
A Biochemical and Mechanical Model of Injury-Induced Intimal
Thickening.
Publisher's Version
Author's Manuscript,
Mathematical Medicine and Biology 34 (1) pp 77 - 108 (2017).
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20. A. J. Fleischhacker and P.-W. Fok,
An Entropy Based Methodology for Valuation of Demand Uncertainty Reduction,
Decision Sciences 46 (6) pp 1165 -- 1198 (2015)
Author's Manuscript
Publisher's Version
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19. J. Chang, P.-W. Fok and T. Chou,
Bayesian Uncertainty Quantification for Bond Energies and Mobilities using Path Integrals
, Biophysical Journal 109 (5) pp 966 -- 974 (2015).
Publisher's Version
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18. A. J. Fleischhacker and P.-W. Fok,
On the Relationship between Entropy, Demand Uncertainty, and Expected Loss,
European Journal of Operational Research 245 (2) pp 623 -- 628 (2015).
Author's Manuscript
Publisher's Version
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17. P.-W. Fok, A Linearly Fourth Order Multirate Runge-Kutta Method with Error Control
Publisher's Version
Author's Manuscript, Journal of Scientific Computing 66 (1) pp 177 -- 195 (2015);
doi: 10.1007/s10915-015-0017-4
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16. P.-W. Fok, X. Yan and G. Yao,
Analysis of Credit Portfolio Risk using Hierarchical Multi-Factor Models,
Journal of Credit Risk 10 (4) pp 1 -- 26 (2014).
Publisher's Version
Author's Manuscript
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15. Q. Han and P.-W. Fok,
Reconstructing the transition rate function of
a Broadwell random walk from exit times
(pdf),
SIAM Journal on Applied Mathematics 74 pp 676 - 696 (2014).
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14. F.-B. Tian, L. Zhu, P.-W. Fok and X.-Y. Lu,
Simulation of a pulsatile non-Newtonian flow past a stenosed 2D artery with atherosclerosis
(pdf),
Computers in Biology and Medicine 43 pp 1098 - 1113 (2013).
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13. P.-W. Fok and T. Chou,
Identifiability of age-dependent branching processes
from extinction probabilities and number distributions, Journal of Statistical Physics 152(4) pp 769 - 786 (2013);
doi: 10.1007/s10955-013-0781-1
Publisher's Version
Author's Manuscript.
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12. P.-W. Fok,
Drift reconstruction from first passage time data using the Levenberg-Marquardt Method,
Inverse Problems in Science and Engineering 21 (8) pp 1288 -- 1309 (2013); doi: 10.1080/17415977.2012.757313
Publisher's Version
Author's Original Manuscript.
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11. P.-W. Fok, Q. Han and T. Chou,
Reconstruction of a persistent random walk from exit time distributions,
IMA Journal of Applied Mathematics 80 (1) pp 1 -- 23 (2015), doi: 10.1093/imamat/hxt011
Publisher's Version
Author's Original Manuscript .
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10. P.-W. Fok,
Mathematical model of intimal thickening in atherosclerosis: Vessel
stenosis as a free boundary problem
(pdf),
Journal of Theoretical Biology 314 pp 23-33 (2012).
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9. P.-W. Fok,
Growth of necrotic cores in atherosclerotic plaque
(pdf),
Mathematical Medicine and Biology 29 (4) pp 301-327 (2012).
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8. P.-W. Fok and T. Chou,
Reconstruction of potential energy profiles from multiple rupture
time distributions,
(pdf)
Proceedings of the Royal Society A 466, No. 2124 pp 3479-3499 (2010).
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7. P.-W. Fok and T. Chou,
Accelerated search kinetics mediated by redox reactions of DNA repair enzymes,
(pdf)
Biophysical Journal 96, pp 2949-3958 (2009).
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6. P.-W. Fok and T. Chou,
Interface growth driven by surface kinetics and convection
(pdf),
SIAM Journal of Applied Mathematics 70, No. 1 pp 24-39 (2009).
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5. P.-W. Fok, C.-L. Guo and T. Chou,
Charge-transport mediated recruitment of DNA repair enzymes
(pdf),
Journal of Chemical Physics 129, 235101 (2008).
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4. P.-W. Fok, R. R. Rosales and D. Margetis,
Facet evolution of supported nanostructures: Effect of finite height
(pdf),
Physical Review B 78, 235401 (2008).
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3. S. Nowak, P.-W. Fok and T. Chou,
Dynamic boundaries in Asymmetric Exclusion Processes
(pdf),
Physical Review E 76, 031135 (2007).
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2. P.-W. Fok, R.R. Rosales and D. Margetis,
Unification of step bunching phenomena on vicinal
surfaces
(pdf),
Physical Review B 76, 033408 (2007).
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1. D. Margetis, P.-W. Fok, M.J. Aziz and H.A. Stone,
Continuum theory of nanostructure decay via a microscale condition
(pdf),
Physical Review Letters 97, 096102 (2006).
Other articles and preprints
2. Mathematical models for vulnerable plaques
from the Mathematical Problems in Industry (MPI) workshop, Delaware June 2009.
1.
M. J. Panaggio, P.-W. Fok, G. S. Bhatt, S. Burhoe, M. Capps, C. J. Edholm,
F. El Moustaid, T. Emerson; S.-L. Estock, R. Halabi, M. Houser, P. R. Kramer, H.-W. Lee, Q. Li,
W. Li, D. Lu, N. Gold, Y. Qian, L. F. Rossi, D. Shutt, V. C. Yang, Y. Zhou,
Prediction and Optimal Scheduling of Advertisements in Linear Television
Recent Presentations
1. Slides from talk at Penn State University (February 5th 2019)