A nonlinear cable-like model of amplified ionic wave propagation along microtubules

Electrostatics of nanosystems: Application to microtubules and the ribosome

Baker, N., Sept, D., Joseph, S., Holst, M., & McCammon, J. A. (2001) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.181342398 · Cited by 7,125 · see citing works

The molecular theory of polyelectrolyte solutions with applications to the electrostatic properties of polynucleotides

Manning, G. S. (1978) · Quarterly Reviews of Biophysics · doi:10.1017/s0033583500002031 · Cited by 2,944 · see citing works

Diffuse-charge dynamics in electrochemical systems

Bazant, M. Z., Thornton, K. S., & Ajdari, A. (2004) · Physical Review E · doi:10.1103/physreve.70.021506 · Cited by 1,057 · see citing works

Microtubules

Dustin, P. (1984) · Springer eBooks · doi:10.1007/978-3-642-69652-7 · Cited by 418 · see citing works

Ionic wave propagation along actin filaments

Tuszyński, J. A., Portet, S., Dixon, J. M., Luxford, C., & Cantiello, H. F. (2004) · Biophysical Journal · doi:10.1016/s0006-3495(04)74255-1 · Cited by 163 · see citing works

A biopolymer transistor: Electrical amplification by microtubules

Priel, A., Ramos, A. J., Tuszynski, J. A., & Cantiello, H. F. (2006) · Biophysical Journal · doi:10.1529/biophysj.105.078915 · Cited by 138 · see citing works

Molecular dynamics simulations of tubulin structure and calculations of electrostatic properties of microtubules

Tuszyński, J. A., Brown, J. A., Crawford, E., Carpenter, E. J., Nip, M. L. A., Dixon, J. M., & Satarić, M. V. (2005) · Mathematical and Computer Modelling · doi:10.1016/j.mcm.2005.05.002 · Cited by 124 · see citing works

Cytoskeletal microdifferentiation: a mechanism for organizing morphological plasticity in dendrites

Kaech, S., Parmar, H., Roelandse, M., Bornmann, C., & Matus, A. (2001) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.111146798 · Cited by 124 · see citing works

Manning-Oosawa Counterion Condensation

O’Shaughnessy, B., & Yang, Q. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.048302 · Cited by 99 · see citing works

Ca2+ channel Ca2+-dependent inactivation in a mammalian central neuron involves the cytoskeleton

Johnson, B. D., & Byerly, L. (1994) · Pflügers Archiv - European Journal of Physiology · doi:10.1007/bf02584025 · Cited by 74 · see citing works

Hippocampal microtubule-associated protein-2 alterations with contextual memory1Published on the World Wide Web on 28 January 1999.1

Woolf, N. J., ZINNERMAN, M., & Johnson, G. V. W. (1999) · Brain Research · doi:10.1016/s0006-8993(99)01064-1 · Cited by 71 · see citing works

Onsager-Manning-Oosawa Condensation Phenomenon and the Effect of Salt

Trizac, E., & Téllez, G. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.038302 · Cited by 68 · see citing works

EMISSION OF MITOCHONDRIAL BIOPHOTONS AND THEIR EFFECT ON ELECTRICAL ACTIVITY OF MEMBRANE VIA MICROTUBULES

Rahnama, M., Tuszyński, J. A., Bókkon, I., Cifra, M., Sardar, P., & Salari, V. (2011) · Journal of Integrative Neuroscience · doi:10.1142/s0219635211002622 · Cited by 129 · see citing works

Nonlinear ionic pulses along microtubules

Sekulic, D. L., Satarić, B. M., Tuszyński, J. A., & Satarić, M. V. (2011) · The European Physical Journal E · doi:10.1140/epje/i2011-11049-0 · Cited by 100 · see citing works

An Overview of Sub-Cellular Mechanisms Involved in the Action of TTFields

Tuszynski, J., Wenger, C., Friesen, D., & Preto, J. (2016) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph13111128 · Cited by 95 · see citing works

Neural cytoskeleton capabilities for learning and memory

Priel, A., Tuszyński, J. A., & Woolf, N. J. (2009) · Journal of Biological Physics · doi:10.1007/s10867-009-9153-0 · Cited by 79 · see citing works

Bundles of Brain Microtubules Generate Electrical Oscillations

Cantero, M. D. R., Etchegoyen, C. V., Perez, P. L., Scarinci, N., & Cantiello, H. F. (2018) · Scientific Reports · doi:10.1038/s41598-018-30453-2 · Cited by 62 · see citing works

The principle of coherence in multi-level brain information processing

Plankar, M., Brežan, S., & Jerman, I. (2012) · Progress in Biophysics and Molecular Biology · doi:10.1016/j.pbiomolbio.2012.08.006 · Cited by 61 · see citing works

All Wired Up: An Exploration of the Electrical Properties of Microtubules and Tubulin

Kalra, A. P., Eakins, B. B., Patel, S. D., Ciniero, G., Rezania, V., Shankar, K., & Tuszynski, J. A. (2020) · ACS Nano · doi:10.1021/acsnano.0c06945 · Cited by 49 · see citing works

Biological wires, communication systems, and implications for disease

Friesen, D. E., Craddock, T. J. A., Kalra, A. P., & Tuszynski, J. A. (2015) · Biosystems · doi:10.1016/j.biosystems.2014.10.006 · Cited by 48 · see citing works

Model of ionic currents through microtubule nanopores and the lumen

Freedman, H., Rezania, V., Priel, A., Carpenter, E. J., Noskov, S. Y., & Tuszyński, J. A. (2010) · Physical Review E · doi:10.1103/physreve.81.051912 · Cited by 46 · see citing works

MICROTUBULE IONIC CONDUCTION AND ITS IMPLICATIONS FOR HIGHER COGNITIVE FUNCTIONS

Craddock, T. J. A., Tuszyński, J. A., Priel, A., & Freedman, H. (2010) · Journal of Integrative Neuroscience · doi:10.1142/s0219635210002421 · Cited by 46 · see citing works

The Role of Cell Membrane Information Reception, Processing, and Communication in the Structure and Function of Multicellular Tissue

Gatenby, R. A. (2019) · International Journal of Molecular Sciences · doi:10.3390/ijms20153609 · Cited by 45 · see citing works

Keeping time: Could quantum beating in microtubules be the basis for the neural synchrony related to consciousness?

Craddock, T. J. A., Priel, A., & Tuszynski, J. A. (2014) · Journal of Integrative Neuroscience · doi:10.1142/s0219635214400019 · Cited by 38 · see citing works

The Bioelectric Circuitry of the Cell

Tuszyński, J. A. (2019) · Springer eBooks · doi:10.1007/978-3-030-21293-3_11 · Cited by 37 · see citing works

Signal transmission through elements of the cytoskeleton form an optimized information network in eukaryotic cells

Frieden, B. R., & Gatenby, R. A. (2019) · Scientific Reports · doi:10.1038/s41598-019-42343-2 · Cited by 35 · see citing works

Electrical Oscillations in Two-Dimensional Microtubular Structures

Cantero, M. D. R., Perez, P. L., Smoler, M., Etchegoyen, C. V., & Cantiello, H. F. (2016) · Scientific Reports · doi:10.1038/srep27143 · Cited by 34 · see citing works

Two-Dimensional Brain Microtubule Structures Behave as Memristive Devices

Cantero, M. D. R., Perez, P. L., Scarinci, N., & Cantiello, H. F. (2019) · Scientific Reports · doi:10.1038/s41598-019-48677-1 · Cited by 30 · see citing works

Investigation of the Electrical Properties of Microtubule Ensembles under Cell-Like Conditions

Kalra, A. P., Patel, S., Bhuiyan, A., Preto, J., Scheuer, K. G., Mohammed, U., Lewis, J. D., Rezania, V., Shankar, K., & Tuszyński, J. A. (2020) · Nanomaterials · doi:10.3390/nano10020265 · Cited by 29 · see citing works

Computational Investigation of the Ordered Water System Around Microtubules: Implications for Protein Interactions

Chierici, F., Dogariu, A. C., & Tuszyński, J. A. (2022) · Frontiers in Molecular Biosciences · doi:10.3389/fmolb.2022.884043 · Cited by 26 · see citing works

Ion-Based Cellular Signal Transmission, Principles of Minimum Information Loss, and Evolution by Natural Selection

Frieden, B. R., & Gatenby, R. A. (2019) · International Journal of Molecular Sciences · doi:10.3390/ijms21010009 · Cited by 24 · see citing works

Modeling Microtubule Counterion Distributions and Conductivity Using the Poisson-Boltzmann Equation

Eakins, B. B., Patel, S., Kalra, A. P., Rezania, V., Shankar, K., & Tuszyński, J. A. (2021) · Frontiers in Molecular Biosciences · doi:10.3389/fmolb.2021.650757 · Cited by 22 · see citing works

Thermal noise due to surface-charge effects within the Debye layer of endogenous structures in dendrites

Poznański, R. R. (2010) · Physical Review E · doi:10.1103/physreve.81.021902 · Cited by 19 · see citing works

Actin filaments modulate electrical activity of brain microtubule protein two‐dimensional sheets

Cantero, M. D. R., Gutiérrez, B. C., & Cantiello, H. F. (2020) · Cytoskeleton · doi:10.1002/cm.21596 · Cited by 15 · see citing works

Cytoskeletal forces produced by extremely low‐frequency electric fields acting on extracellular glycoproteins

Hart, F. X. (2009) · Bioelectromagnetics · doi:10.1002/bem.20525 · Cited by 15 · see citing works

Intracellular capacitive effects of polarized proteins in dendrites

Poznański, R. R., & Cacha, L. A. (2012) · Journal of Integrative Neuroscience · doi:10.1142/s0219635212500264 · Cited by 13 · see citing works

Waves transmission and amplification in an electrical model of microtubules

Ndjomatchoua, F. T., Tchawoua, C., Kakmeni, F. M. M., Ru, B. P. L., & Tonnang, H. E. Z. (2016) · Chaos An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/1.4952573 · Cited by 12 · see citing works

Soliton-mediated ionic pulses and coupled ionic excitations in a dissipative electrical network model of microtubules

Tankou, E., Tabi, C. B., & Kofané, T. C. (2022) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2022.112446 · Cited by 11 · see citing works

Ionic Pulses along Cytoskeletal Protophilaments

Satarić, M. V., & Satarić, B. M. (2011) · Journal of Physics Conference Series · doi:10.1088/1742-6596/329/1/012009 · Cited by 11 · see citing works

A Nanometric Probe of the Local Proton Concentration in Microtubule-Based Biophysical Systems

Kalra, A. P., Eakins, B. B., Vagin, S. I., Wang, H., Patel, S., Winter, P., Aminpour, M., Lewis, J. D., Rezania, V., Shankar, K., et al. (2021) · Nano Letters · doi:10.1021/acs.nanolett.1c04487 · Cited by 9 · see citing works

The Cytoskeleton as a Nanoscale Information Processor: Electrical Properties and an Actin-Microtubule Network Model

Woolf, N. J., Priel, A., & Tuszyński, J. A. (2009) · Biological and medical physics series · doi:10.1007/978-3-642-03584-5_3 · Cited by 8 · see citing works

On a Class of Nonlinear Waves in Microtubules

Vitanov, N. K., Bugay, A., & Ustinov, N. (2024) · Mathematics · doi:10.3390/math12223578 · Cited by 7 · see citing works

Chirped modulated wave excitations in an electrical model of microtubules

Kengne, E., & Lakhssassi, A. (2023) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2022.113094 · Cited by 7 · see citing works

Microtúbulos y terapia neural: propuesta de una investigación promisoria

Cruz, Y., & Fayad, R. (2011) · Revista Med · doi:10.18359/rmed.1228 · Cited by 7 · see citing works

On discovering functions in actin filament automata

Adamatzky, A. (2019) · Royal Society Open Science · doi:10.1098/rsos.181198 · Cited by 7 · see citing works

Actin networks voltage circuits

Siccardi, S., Adamatzky, A., Tuszyński, J. A., Huber, F., & Schnauß, J. (2020) · Physical review. E · doi:10.1103/physreve.101.052314 · Cited by 7 · see citing works

Brain Microtubule Electrical Oscillations-Empirical Mode Decomposition Analysis

Scarinci, N., Priel, A., Cantero, M. D. R., & Cantiello, H. F. (2022) · Cellular and Molecular Neurobiology · doi:10.1007/s10571-022-01290-9 · Cited by 6 · see citing works

Dissipation and amplification management in an electrical model of microtubules: Hybrid behavior network

Ndoungalah, S., Deffo, G. R., Djine, A., & Yamgoué, S. B. (2023) · Chinese Physics B · doi:10.1088/1674-1056/acc44f · Cited by 5 · see citing works

Role of the microtubules in the electrical activity of the primary cilium of renal epithelial cells

Scarinci, N., Gutiérrez, B. C., Albarracín, V. H., Cantero, M. D. R., & Cantiello, H. F. (2023) · Frontiers in Molecular Biosciences · doi:10.3389/fmolb.2023.1214532 · Cited by 3 · see citing works

Measurement and Characterization of the Electrical Properties of Actin Filaments

Paladini, S., Truglia, B., Shankar, K., & Tuszyński, J. A. (2024) · International Journal of Molecular Sciences · doi:10.3390/ijms25105485 · Cited by 3 · see citing works

Electrical oscillations in microtubules

Mohsin, M., Cantiello, H. F., Cantero, M. D. R., & Marucho, M. (2025) · Scientific Reports · doi:10.1038/s41598-025-24920-w · Cited by 2 · see citing works

Morphological and Electrical Properties of Proteinoid–Actin Networks

Mougkogiannis, P., & Adamatzky, A. (2025) · ACS Omega · doi:10.1021/acsomega.4c10488 · Cited by 2 · see citing works

Nonlinear lattice models forbiopolymers: Dynamical coupling to a ionic cloud and application to actinfilaments

Ferreira, C., Guillaume James, A., & Peyrard, M. (2010) · Discrete and Continuous Dynamical Systems - S · doi:10.3934/dcdss.2011.4.1147

Overt and covert paths for sound in the auditory system of mammals. 2Preprint

Auriol, B., Auriol, B., Béard, J., Bibé, B., Broto, J. M., Descouens, D., Durand, L. J. S., Florens, J., Garçia, F., Gillieaux, C., et al. (2022) · arXiv (Cornell University) · doi:10.48550/arxiv.2201.05612

Morphological and Electrical Properties of Proteinoid–Actin NetworksPreprint

Mougkogiannis, P., & Adamatzky, A. (2024) · SSRN Electronic Journal · doi:10.2139/ssrn.4772817

Mathematical Modelling of Modulated Waves in Nonlinear Electrical Networks

Kengne, E., & Liu, W.-M. (2025) · Springer series in solid-state sciences · doi:10.1007/978-981-96-8717-6_7

Organization of the Cytoskeleton: Studies in Microfluidic Drops

Dammann, C. (2014) · doi:10.53846/goediss-4511

A nonlinear model of ionic wave propagation along microtubules

Satarić, M. V., Ilić, D. I., Ralević, N., & Tuszyński, J. A. (2009) · European Biophysics Journal · doi:10.1007/s00249-009-0540-z · Cited by 3 · see citing works

Microtubule as a Transmission Line for Ionic Currents

Ilić, D. I., Satarić, M. V., & Ralević, N. (2009) · Chinese Physics Letters · doi:10.1088/0256-307x/26/7/073101 · Cited by 9 · see citing works

Nonlinear ionic pulses along microtubules

Sekulic, D. L., Satarić, B. M., Tuszyński, J. A., & Satarić, M. V. (2011) · The European Physical Journal E · doi:10.1140/epje/i2011-11049-0 · Cited by 100 · see citing works

An improved electrical model of microtubule as biomolecular nonlinear transmission line

Sekulic, D. L., & Satarić, M. V. (2014) · IEEE International Conference on Microelectronics (MIEL) · doi:10.1109/miel.2014.6842098 · Cited by 8 · see citing works

Ionic Pulses along Cytoskeletal Protophilaments

Satarić, M. V., & Satarić, B. M. (2011) · Journal of Physics Conference Series · doi:10.1088/1742-6596/329/1/012009 · Cited by 11 · see citing works