Downloadable Publications

Complete list of downloadable publications:


1.   Poznanski, R.R., and Cacha, L (2012) Intracellular Capacitive Effects of Polarized Proteins in Dendrites. Journal of Integrative Neuroscience, 11, 417-438


2.   Brzychczy, S., Leszczynski,H. and Poznanski, R R (2012) Neuronal models in infinite dimensional spaces and their finite dimensional projections: Part IIJournal of Integrative Neuroscience 11, 265-276.

3.   Poznanski, R.R., Jog, M., and Aur, D. (2011) Computing by Physical Interaction in Neurons. J. Integrative Neurosicence 10, 413-422

4.   Poznanski, R.R. and Cacha, L. (2011). Associable Representations as Field of InfluenceJ. Integrative Neuroscience 10, 423-437





12.  Poznanski, R.R. and Riera, J. (2006) fMRI Models of Dendritic and Astrocytic Networks. Journal of    Integrative Neuroscience 5, 273-326.






18.  Poznanski, R.R. (2002) The Importance of Continuity: A Reply to Chris Eliasmith.  Minds and Machines 12,435.

19.  Poznanski, R.R. (2001) On Recent Cable Models in Neurophysiology. The Mathematical Scientist 26, 74-86.

20.  Poznanski, R R (2001) Conduction Velocity of Dendritic Potentials in a Cultured Hippocampal Neuron Model. Neuroscience Research Communications 28, 141-150.

21.  Poznanski, R R and Bell, J (2000) Theoretical Analysis of the Amplification of Synaptic Potentials by Small Clusters of Persistent Sodium Channels in Dendrites.  Mathematical Biosciences 166, 123-147.

22.  Poznanski, R R and Bell, J (2000) A Dendritic Cable Model for the Amplification of Synaptic Potentials by an Ensemble Average of Persistent Sodium ChannelsMathematical Biosciences 166, 101-121.

23.  Poznanski, R R (1998) Electrophysiology of a Leaky Cable Model for Coupled Neurons.  Journal of the Australian Mathematical Society, Series B40, 59-71.

24.  Poznanski, R R and Umino, O (1997) Syncytial Integration by a Network of Coupled Bipolar Cells in the RetinaProgress in Neurobiology 53, 273-291.

25.  Poznanski, R R and Peiris, S M (1996) Subthreshold Response to White-Noise Current Input in a Tapering Cable Model of a Neuron. IMA Journal of Mathematics Applied in Medicine and Biology 13, 207- 222.

26.  Poznanski, R R (1996) Transient Response in a Tapering Cable Model With Somatic Shunt.   NeuroReport 7, 1700-1704.

27.   Poznanski, R R, Gibson, W G and Bennett, M R (1995) Electrotonic Coupling Between Two CA3 Hippocampal Pyramidal Neurons: A Distributed Cable Model with Somatic Gap-JunctionBulletin of Mathematical Biology 57, 865-881.

28. Poznanski, R R and Glenn, L L (1994) Estimating the Effective Electrotonic Length of Dendritic Neurons With Reduced Equivalent Cable Models. Neuroscience Research Communications 15, 69- 76.

29.  Poznanski, R R (1994) Electrotonic Length Estimates of CA3 Hippocampal Pyramidal Neurons. Neuroscience Research Communications 14, 93-100.

30. Bennett, M R, Gibson, W G and Poznanski, R R (1993) Extracellular Current Flow and Potential During Quantal Transmission from Varicosities in a Smooth Muscle SyncytiumPhilosophical Transactions of the Royal Society of LondonSeries B342, 89-99.

31.  Poznanski, R R (1993) Nonlinear Summation of Junction Potentials in a Three Dimensional Syncytium.  Annals of Biomedical Engineering 21, 401-406.


33. Poznanski, R R (1991) A Generalized Tapering Equivalent Cable Model for Dendritic Neurons. Bulletin of Mathematical Biology 53, 457- 467.

34.   Poznanski, R R (1990) Analysis of a Postsynaptic Scheme Based on a Tapering Equivalent Cylinder Model.  IMA Journal of Mathematics Applied in Medicine and Biology 7, 175-197.

35. Poznanski, R R (1988) Membrane Voltage Changes in Passive Dendritic Trees: A Tapering Equivalent Cylinder Model. IMA Journal of Mathematics Applied in Medicine and Biology 5,113-145.

36. Poznanski, R R (1987) Transient Response in a Somatic Shunt Cable Model for Synaptic Input Activated at the Terminal Journal of Theoretical Biology 127, 31-50.

37.  Poznanski, R R (1987) Techniques for Obtaining Analytical Solutions for the Somatic Shunt Cable Model.  Mathematical Biosciences 85, 13-35.



Chapters in Books:

38.  Poznanski, R R (2005) Analytical Solutions of the Frankenhaeuser-Huxley Equations Modified for Backpropagation of a Single Sodium Spike. In, “Modeling in the Neurosciences: From Biological Systems to Neuromimetic Robotics.” 2nd Edition. With G.N. Reeke, K.A. Lindsay, J.R. Rosenberg and O. Sporns. CRC Press, Baco Raton, pp.201-226.

39.  Poznanski, R R (2005) Dendritic Integration in a Two-Neuron Recurrent Excitatory Network Model. In, “Modeling in the Neurosciences: From Biological Systems to Neuromimetic Robotics.” 2nd Edition. With G.N. Reeke, K.A. Lindsay, J.R. Rosenberg and O. Sporns. CRC Press, Baco Raton, pp.531-554.

40.  Poznanski, R R (2001) Dendritic Spike-like Potentials in a Neural Network. In, Biophysical Neural Networks: Foundations of Integrative Neuroscience (R R Poznanski, ed.) Mary Ann Liebert, NY.  

41.  Poznanski, R R (2001) Introduction to Integrative Neuroscience. InBiophysical Neural Networks: Foundations of Integrative Neuroscience   (R R Poznanski, ed.) Mary Ann Liebert, NY.

42.  Poznanski, R R  and Umino, O (1999) Determination of Cable Parameters for Neurons With Gap-Junctions. In, Modeling in the Neurosciences: From Ionic Channels to Neural Networks (R R Poznanski, ed.) Gordon & Breach Publishing Group, Amsterdam.

Brief Biography

   Dr. Roman R. Poznanski Caspary Auditorium at The Rockefeller University Roman R. Poznanski   is  known for his defining theor...