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Computational and Mathematical Methods in Medicine
Volume 2012, Article ID 897371, 17 pages
http://dx.doi.org/10.1155/2012/897371
Research Article

Discrete-State Stochastic Models of Calcium-Regulated Calcium Influx and Subspace Dynamics Are Not Well-Approximated by ODEs That Neglect Concentration Fluctuations

Department of Applied Science, The College of William and Mary, Williamsburg, VA 23187, USA

Received 29 June 2012; Accepted 17 September 2012

Academic Editor: Ling Xia

Copyright © 2012 Seth H. Weinberg and Gregory D. Smith. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [10 citations]

The following is the list of published articles that have cited the current article.

  • Seth H. Weinberg, and Gregory D. Smith, “The Influence of Ca2+ Buffers on Free [Ca2+] Fluctuations and the Effective Volume of Ca2+ Microdomains,” Biophysical Journal, vol. 106, no. 12, pp. 2693–2709, 2014. View at Publisher · View at Google Scholar
  • Seth H. Weinberg, “Membrane Capacitive Memory Alters Spiking in Neurons Described by the Fractional-Order Hodgkin-Huxley Model,” Plos One, vol. 10, no. 5, pp. e0126629, 2015. View at Publisher · View at Google Scholar
  • Nicolas Wieder, Rainer Fink, and Frederic von Wegner, “Exact Stochastic Simulation of a Calcium Microdomain Reveals the Impact of Ca2+ Fluctuations on IP3R Gating,” Biophysical Journal, vol. 108, no. 3, pp. 557–567, 2015. View at Publisher · View at Google Scholar
  • Hao Ji, Yaohang Li, Seth H. Weinberg, Hao Ji, Yaohang Li, and Seth H. Weinberg, “Calcium Ion Fluctuations Alter Channel Gating in a Stochastic Luminal Calcium Release Site Model,” Bioinformatics Research And Applications (Isbra 2015), vol. 9096, pp. 162–174, 2015. View at Publisher · View at Google Scholar
  • Seth H. Weinberg, “ Microdomain [Ca 2+ ] Fluctuations Alter Temporal Dynamics in Models of Ca 2+ -Dependent Signaling Cascades and Synaptic Vesicle Release ,” Neural Computation, vol. 28, no. 3, pp. 493–524, 2016. View at Publisher · View at Google Scholar
  • Claire Guerrier, and David Holcman, “Hybrid Markov-mass action law model for cell activation by rare binding events: Application to calcium induced vesicular release at neuronal synapses,” Scientific Reports, vol. 6, no. 1, 2016. View at Publisher · View at Google Scholar
  • Seth H. Weinberg, “Personalized Computational Modeling for the Treatment of Cardiac Arrhythmias,” The Digital Patient, pp. 85–99, 2016. View at Publisher · View at Google Scholar
  • Bijay Limbu, Kushal Shah, Seth H. Weinberg, and Makarand Deo, “Role of Cytosolic Calcium Diffusion in Murine Cardiac Purkinje Cells,” Clinical Medicine Insights: Cardiology, vol. 10s1, pp. CMC.S39705, 2017. View at Publisher · View at Google Scholar
  • Seth H. Weinberg, “Impaired Sarcoplasmic Reticulum Calcium Uptake and Release Promote Electromechanically and Spatially Discordant Alternans: A Computational Study,” Clinical Medicine Insights: Cardiology, vol. 10s1, pp. CMC.S39709, 2017. View at Publisher · View at Google Scholar
  • Hao Ji, Yaohang Li, and Seth H. Weinberg, “Calcium Ion Fluctuations Alter Channel Gating in a Stochastic Luminal Calcium Release Site Model,” IEEE/ACM Transactions on Computational Biology and Bioinformatics, vol. 14, no. 3, pp. 611–619, 2017. View at Publisher · View at Google Scholar