List of Faculty Publications

Below is a list of Faculty publications imported from PubMed or manually added. By default, publications are sorted by year with titles displayed in ascending alphabetical order.
Shortcuts: Wühr, Martin | Wingreen, Ned | Wieschaus, Eric | Troyanskaya, Olga | Tilghman, Shirley | Storey, John | Singh, Mona | Shvartsman, Stanislav | Shaevitz, Joshua | Rabinowitz, Joshua | Murphy, Coleen | Levine, Michael {Levine, Michael S.} | Gregor, Thomas | Botstein, David | Bialek, William | Ayroles, Julien | Andolfatto, Peter | Akey, Joshua

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Acoustic Stimulation
T. Sharpee, Rust, N. C., and Bialek, W., “Analyzing neural responses to natural signals: maximally informative dimensions.”, Neural Comput, vol. 16, no. 2, pp. 223-50, 2004.
Action Potentials
B. Agüera y Arcas, Fairhall, A. L., and Bialek, W., “Computation in a single neuron: Hodgkin and Huxley revisited.”, Neural Comput, vol. 15, no. 8, pp. 1715-49, 2003.
E. Schneidman, Bialek, W., and Berry, M. J., “Synergy, redundancy, and independence in population codes.”, J Neurosci, vol. 23, no. 37, pp. 11539-53, 2003.
E. Schneidman, Berry, M. J., Segev, R., and Bialek, W., “Weak pairwise correlations imply strongly correlated network states in a neural population.”, Nature, vol. 440, no. 7087, pp. 1007-12, 2006.
T. Sharpee, Rust, N. C., and Bialek, W., “Analyzing neural responses to natural signals: maximally informative dimensions.”, Neural Comput, vol. 16, no. 2, pp. 223-50, 2004.
E. Schneidman, Puchalla, J. L., Segev, R., Harris, R. A., Bialek, W., and Berry, M. J., “Synergy from silence in a combinatorial neural code.”, J Neurosci, vol. 31, no. 44, pp. 15732-41, 2011.
G. Tkačik, Marre, O., Amodei, D., Schneidman, E., Bialek, W., and Berry, M. J., “Searching for collective behavior in a large network of sensory neurons.”, PLoS Comput Biol, vol. 10, no. 1, p. e1003408, 2014.
I. Nemenman, Lewen, G. D., Bialek, W., and van Steveninck, R. R. de Ruyte, “Neural coding of natural stimuli: information at sub-millisecond resolution.”, PLoS Comput Biol, vol. 4, no. 3, p. e1000025, 2008.
L. C. Osborne, Bialek, W., and Lisberger, S. G., “Time course of information about motion direction in visual area MT of macaque monkeys.”, J Neurosci, vol. 24, no. 13, pp. 3210-22, 2004.
T. L. Adelman, Bialek, W., and Olberg, R. M., “The information content of receptive fields.”, Neuron, vol. 40, no. 4, pp. 823-33, 2003.
Adaptation, Physiological
G. J. Stephens, Johnson-Kerner, B., Bialek, W., and Ryu, W. S., “From modes to movement in the behavior of Caenorhabditis elegans.”, PLoS One, vol. 5, no. 11, p. e13914, 2010.
Algorithms
T. Sharpee, Rust, N. C., and Bialek, W., “Analyzing neural responses to natural signals: maximally informative dimensions.”, Neural Comput, vol. 16, no. 2, pp. 223-50, 2004.
G. Tkačik, Gregor, T., and Bialek, W., “The role of input noise in transcriptional regulation.”, PLoS One, vol. 3, no. 7, p. e2774, 2008.
G. Tkačik, Callan, C. G., and Bialek, W., “Information capacity of genetic regulatory elements.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 78, no. 1 Pt 1, p. 011910, 2008.
N. Slonim, Atwal, G. Singh, Tkačik, G., and Bialek, W., “Information-based clustering.”, Proc Natl Acad Sci U S A, vol. 102, no. 51, pp. 18297-302, 2005.
I. Nemenman, Lewen, G. D., Bialek, W., and van Steveninck, R. R. de Ruyte, “Neural coding of natural stimuli: information at sub-millisecond resolution.”, PLoS Comput Biol, vol. 4, no. 3, p. e1000025, 2008.
G. J. Stephens, Johnson-Kerner, B., Bialek, W., and Ryu, W. S., “From modes to movement in the behavior of Caenorhabditis elegans.”, PLoS One, vol. 5, no. 11, p. e13914, 2010.
L. C. Osborne, Palmer, S. E., Lisberger, S. G., and Bialek, W., “The neural basis for combinatorial coding in a cortical population response.”, J Neurosci, vol. 28, no. 50, pp. 13522-31, 2008.
Ambystoma
E. Schneidman, Puchalla, J. L., Segev, R., Harris, R. A., Bialek, W., and Berry, M. J., “Synergy from silence in a combinatorial neural code.”, J Neurosci, vol. 31, no. 44, pp. 15732-41, 2011.
Amino Acid Sequence
T. Mora, Walczak, A. M., Bialek, W., and Callan, C. G., “Maximum entropy models for antibody diversity.”, Proc Natl Acad Sci U S A, vol. 107, no. 12, pp. 5405-10, 2010.
Animals
E. Schneidman, Bialek, W., and Berry, M. J., “Synergy, redundancy, and independence in population codes.”, J Neurosci, vol. 23, no. 37, pp. 11539-53, 2003.
W. Bialek, Cavagna, A., Giardina, I., Mora, T., Silvestri, E., Viale, M., and Walczak, A. M., “Statistical mechanics for natural flocks of birds.”, Proc Natl Acad Sci U S A, vol. 109, no. 13, pp. 4786-91, 2012.
T. Sharpee and Bialek, W., “Neural decision boundaries for maximal information transmission.”, PLoS One, vol. 2, no. 7, p. e646, 2007.
T. Sharpee, Rust, N. C., and Bialek, W., “Analyzing neural responses to natural signals: maximally informative dimensions.”, Neural Comput, vol. 16, no. 2, pp. 223-50, 2004.
E. Schneidman, Berry, M. J., Segev, R., and Bialek, W., “Weak pairwise correlations imply strongly correlated network states in a neural population.”, Nature, vol. 440, no. 7087, pp. 1007-12, 2006.
G. J. Stephens, Johnson-Kerner, B., Bialek, W., and Ryu, W. S., “Dimensionality and dynamics in the behavior of C. elegans.”, PLoS Comput Biol, vol. 4, no. 4, p. e1000028, 2008.
E. Schneidman, Puchalla, J. L., Segev, R., Harris, R. A., Bialek, W., and Berry, M. J., “Synergy from silence in a combinatorial neural code.”, J Neurosci, vol. 31, no. 44, pp. 15732-41, 2011.
D. Krotov, Dubuis, J. O., Gregor, T., and Bialek, W., “Morphogenesis at criticality.”, Proc Natl Acad Sci U S A, vol. 111, no. 10, pp. 3683-8, 2014.
G. Tkačik, Callan, C. G., and Bialek, W., “Information capacity of genetic regulatory elements.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 78, no. 1 Pt 1, p. 011910, 2008.
T. Gregor, Wieschaus, E. F., McGregor, A. P., Bialek, W., and Tank, D. W., “Stability and nuclear dynamics of the bicoid morphogen gradient.”, Cell, vol. 130, no. 1, pp. 141-52, 2007.
G. J. Stephens, Osborne, L. C., and Bialek, W., “Searching for simplicity in the analysis of neurons and behavior.”, Proc Natl Acad Sci U S A, vol. 108 Suppl 3, pp. 15565-71, 2011.
L. C. Osborne, Hohl, S. S., Bialek, W., and Lisberger, S. G., “Time course of precision in smooth-pursuit eye movements of monkeys.”, J Neurosci, vol. 27, no. 11, pp. 2987-98, 2007.
G. Tkačik, Walczak, A. M., and Bialek, W., “Optimizing information flow in small genetic networks. III. A self-interacting gene.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 85, no. 4 Pt 1, p. 041903, 2012.
G. Tkačik, Callan, C. G., and Bialek, W., “Information flow and optimization in transcriptional regulation.”, Proc Natl Acad Sci U S A, vol. 105, no. 34, pp. 12265-70, 2008.
T. Gregor, Tank, D. W., Wieschaus, E. F., and Bialek, W., “Probing the limits to positional information.”, Cell, vol. 130, no. 1, pp. 153-64, 2007.
G. Tkačik, Marre, O., Amodei, D., Schneidman, E., Bialek, W., and Berry, M. J., “Searching for collective behavior in a large network of sensory neurons.”, PLoS Comput Biol, vol. 10, no. 1, p. e1003408, 2014.
I. Nemenman, Lewen, G. D., Bialek, W., and van Steveninck, R. R. de Ruyte, “Neural coding of natural stimuli: information at sub-millisecond resolution.”, PLoS Comput Biol, vol. 4, no. 3, p. e1000025, 2008.
G. J. Stephens, Johnson-Kerner, B., Bialek, W., and Ryu, W. S., “From modes to movement in the behavior of Caenorhabditis elegans.”, PLoS One, vol. 5, no. 11, p. e13914, 2010.
T. Gregor, Bialek, W., van Steveninck, R. R. de Ruyte, Tank, D. W., and Wieschaus, E. F., “Diffusion and scaling during early embryonic pattern formation.”, Proc Natl Acad Sci U S A, vol. 102, no. 51, pp. 18403-7, 2005.
T. Mora, Walczak, A. M., Bialek, W., and Callan, C. G., “Maximum entropy models for antibody diversity.”, Proc Natl Acad Sci U S A, vol. 107, no. 12, pp. 5405-10, 2010.
N. Brenner, Agam, O., Bialek, W., and van Steveninck, Rde Ruyter, “Statistical properties of spike trains: universal and stimulus-dependent aspects.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 66, no. 3 Pt 1, p. 031907, 2002.
W. Bialek, Cavagna, A., Giardina, I., Mora, T., Pohl, O., Silvestri, E., Viale, M., and Walczak, A. M., “Social interactions dominate speed control in poising natural flocks near criticality.”, Proc Natl Acad Sci U S A, vol. 111, no. 20, pp. 7212-7, 2014.
L. C. Osborne, Bialek, W., and Lisberger, S. G., “Time course of information about motion direction in visual area MT of macaque monkeys.”, J Neurosci, vol. 24, no. 13, pp. 3210-22, 2004.
T. L. Adelman, Bialek, W., and Olberg, R. M., “The information content of receptive fields.”, Neuron, vol. 40, no. 4, pp. 823-33, 2003.
L. C. Osborne, Palmer, S. E., Lisberger, S. G., and Bialek, W., “The neural basis for combinatorial coding in a cortical population response.”, J Neurosci, vol. 28, no. 50, pp. 13522-31, 2008.
G. Tkačik, Walczak, A. M., and Bialek, W., “Optimizing information flow in small genetic networks.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 80, no. 3 Pt 1, p. 031920, 2009.
G. J. Stephens, de Mesquita, M. Bueno, Ryu, W. S., and Bialek, W., “Emergence of long timescales and stereotyped behaviors in Caenorhabditis elegans.”, Proc Natl Acad Sci U S A, vol. 108, no. 18, pp. 7286-9, 2011.
G. Tkačik, Gregor, T., and Bialek, W., “The role of input noise in transcriptional regulation.”, PLoS One, vol. 3, no. 7, p. e2774, 2008.
L. C. Osborne, Lisberger, S. G., and Bialek, W., “A sensory source for motor variation.”, Nature, vol. 437, no. 7057, pp. 412-6, 2005.
J. O. Dubuis, Tkačik, G., Wieschaus, E. F., Gregor, T., and Bialek, W., “Positional information, in bits.”, Proc Natl Acad Sci U S A, vol. 110, no. 41, pp. 16301-8, 2013.
Antibody Diversity
T. Mora, Walczak, A. M., Bialek, W., and Callan, C. G., “Maximum entropy models for antibody diversity.”, Proc Natl Acad Sci U S A, vol. 107, no. 12, pp. 5405-10, 2010.
Artifacts
T. Sharpee, Rust, N. C., and Bialek, W., “Analyzing neural responses to natural signals: maximally informative dimensions.”, Neural Comput, vol. 16, no. 2, pp. 223-50, 2004.
Auditory Cortex
T. Sharpee, Rust, N. C., and Bialek, W., “Analyzing neural responses to natural signals: maximally informative dimensions.”, Neural Comput, vol. 16, no. 2, pp. 223-50, 2004.
Automatic Data Processing
T. Sharpee and Bialek, W., “Neural decision boundaries for maximal information transmission.”, PLoS One, vol. 2, no. 7, p. e646, 2007.
Bacterial Physiological Phenomena
W. Bialek and Setayeshgar, S., “Physical limits to biochemical signaling.”, Proc Natl Acad Sci U S A, vol. 102, no. 29, pp. 10040-5, 2005.
Base Sequence
T. Mora, Walczak, A. M., Bialek, W., and Callan, C. G., “Maximum entropy models for antibody diversity.”, Proc Natl Acad Sci U S A, vol. 107, no. 12, pp. 5405-10, 2010.
Behavior
G. J. Stephens, Osborne, L. C., and Bialek, W., “Searching for simplicity in the analysis of neurons and behavior.”, Proc Natl Acad Sci U S A, vol. 108 Suppl 3, pp. 15565-71, 2011.
Behavior, Animal
G. J. Stephens, de Mesquita, M. Bueno, Ryu, W. S., and Bialek, W., “Emergence of long timescales and stereotyped behaviors in Caenorhabditis elegans.”, Proc Natl Acad Sci U S A, vol. 108, no. 18, pp. 7286-9, 2011.
G. J. Stephens, Johnson-Kerner, B., Bialek, W., and Ryu, W. S., “Dimensionality and dynamics in the behavior of C. elegans.”, PLoS Comput Biol, vol. 4, no. 4, p. e1000028, 2008.
W. Bialek, Cavagna, A., Giardina, I., Mora, T., Pohl, O., Silvestri, E., Viale, M., and Walczak, A. M., “Social interactions dominate speed control in poising natural flocks near criticality.”, Proc Natl Acad Sci U S A, vol. 111, no. 20, pp. 7212-7, 2014.
Binding Sites
W. Bialek and Setayeshgar, S., “Cooperativity, sensitivity, and noise in biochemical signaling.”, Phys Rev Lett, vol. 100, no. 25, p. 258101, 2008.
Biological Evolution
D. Krotov, Dubuis, J. O., Gregor, T., and Bialek, W., “Morphogenesis at criticality.”, Proc Natl Acad Sci U S A, vol. 111, no. 10, pp. 3683-8, 2014.
Biological Science Disciplines
W. Bialek and Botstein, D., “Introductory science and mathematics education for 21st-Century biologists.”, Science, vol. 303, no. 5659, pp. 788-90, 2004.
Biomechanical Phenomena
W. Bialek, Cavagna, A., Giardina, I., Mora, T., Silvestri, E., Viale, M., and Walczak, A. M., “Statistical mechanics for natural flocks of birds.”, Proc Natl Acad Sci U S A, vol. 109, no. 13, pp. 4786-91, 2012.
Biomedical Research
W. Bialek and Botstein, D., “Introductory science and mathematics education for 21st-Century biologists.”, Science, vol. 303, no. 5659, pp. 788-90, 2004.
Biophysical Phenomena
W. Bialek and Setayeshgar, S., “Physical limits to biochemical signaling.”, Proc Natl Acad Sci U S A, vol. 102, no. 29, pp. 10040-5, 2005.
T. Mora, Walczak, A. M., Bialek, W., and Callan, C. G., “Maximum entropy models for antibody diversity.”, Proc Natl Acad Sci U S A, vol. 107, no. 12, pp. 5405-10, 2010.
N. Brenner, Agam, O., Bialek, W., and van Steveninck, Rde Ruyter, “Statistical properties of spike trains: universal and stimulus-dependent aspects.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 66, no. 3 Pt 1, p. 031907, 2002.
Biophysics
W. Bialek and Setayeshgar, S., “Physical limits to biochemical signaling.”, Proc Natl Acad Sci U S A, vol. 102, no. 29, pp. 10040-5, 2005.
W. Bialek, “QnAs with William Bialek.”, Proc Natl Acad Sci U S A, vol. 110, no. 41, p. 16288, 2013.
G. Tkačik, Callan, C. G., and Bialek, W., “Information capacity of genetic regulatory elements.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 78, no. 1 Pt 1, p. 011910, 2008.
N. Brenner, Agam, O., Bialek, W., and van Steveninck, Rde Ruyter, “Statistical properties of spike trains: universal and stimulus-dependent aspects.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 66, no. 3 Pt 1, p. 031907, 2002.
Body Patterning
T. Gregor, Wieschaus, E. F., McGregor, A. P., Bialek, W., and Tank, D. W., “Stability and nuclear dynamics of the bicoid morphogen gradient.”, Cell, vol. 130, no. 1, pp. 141-52, 2007.
T. Gregor, Tank, D. W., Wieschaus, E. F., and Bialek, W., “Probing the limits to positional information.”, Cell, vol. 130, no. 1, pp. 153-64, 2007.
T. Gregor, Bialek, W., van Steveninck, R. R. de Ruyte, Tank, D. W., and Wieschaus, E. F., “Diffusion and scaling during early embryonic pattern formation.”, Proc Natl Acad Sci U S A, vol. 102, no. 51, pp. 18403-7, 2005.
Brain
T. L. Adelman, Bialek, W., and Olberg, R. M., “The information content of receptive fields.”, Neuron, vol. 40, no. 4, pp. 823-33, 2003.
L. C. Osborne, Lisberger, S. G., and Bialek, W., “A sensory source for motor variation.”, Nature, vol. 437, no. 7057, pp. 412-6, 2005.
T. Sharpee, Rust, N. C., and Bialek, W., “Analyzing neural responses to natural signals: maximally informative dimensions.”, Neural Comput, vol. 16, no. 2, pp. 223-50, 2004.
Caenorhabditis elegans
G. J. Stephens, de Mesquita, M. Bueno, Ryu, W. S., and Bialek, W., “Emergence of long timescales and stereotyped behaviors in Caenorhabditis elegans.”, Proc Natl Acad Sci U S A, vol. 108, no. 18, pp. 7286-9, 2011.
G. J. Stephens, Johnson-Kerner, B., Bialek, W., and Ryu, W. S., “Dimensionality and dynamics in the behavior of C. elegans.”, PLoS Comput Biol, vol. 4, no. 4, p. e1000028, 2008.
G. J. Stephens, Johnson-Kerner, B., Bialek, W., and Ryu, W. S., “From modes to movement in the behavior of Caenorhabditis elegans.”, PLoS One, vol. 5, no. 11, p. e13914, 2010.
Caenorhabditis elegans Proteins
G. J. Stephens, Johnson-Kerner, B., Bialek, W., and Ryu, W. S., “From modes to movement in the behavior of Caenorhabditis elegans.”, PLoS One, vol. 5, no. 11, p. e13914, 2010.
Cell Movement
J. O. Dubuis, Tkačik, G., Wieschaus, E. F., Gregor, T., and Bialek, W., “Positional information, in bits.”, Proc Natl Acad Sci U S A, vol. 110, no. 41, pp. 16301-8, 2013.
Cell Nucleus
T. Gregor, Wieschaus, E. F., McGregor, A. P., Bialek, W., and Tank, D. W., “Stability and nuclear dynamics of the bicoid morphogen gradient.”, Cell, vol. 130, no. 1, pp. 141-52, 2007.
T. Gregor, Tank, D. W., Wieschaus, E. F., and Bialek, W., “Probing the limits to positional information.”, Cell, vol. 130, no. 1, pp. 153-64, 2007.
Cells
G. Tkačik, Walczak, A. M., and Bialek, W., “Optimizing information flow in small genetic networks.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 80, no. 3 Pt 1, p. 031920, 2009.
Cerebral Cortex
E. Schneidman, Berry, M. J., Segev, R., and Bialek, W., “Weak pairwise correlations imply strongly correlated network states in a neural population.”, Nature, vol. 440, no. 7087, pp. 1007-12, 2006.
L. C. Osborne, Palmer, S. E., Lisberger, S. G., and Bialek, W., “The neural basis for combinatorial coding in a cortical population response.”, J Neurosci, vol. 28, no. 50, pp. 13522-31, 2008.
Chemistry
W. Bialek and Botstein, D., “Introductory science and mathematics education for 21st-Century biologists.”, Science, vol. 303, no. 5659, pp. 788-90, 2004.
Chemotaxis
W. Bialek and Setayeshgar, S., “Physical limits to biochemical signaling.”, Proc Natl Acad Sci U S A, vol. 102, no. 29, pp. 10040-5, 2005.
Cluster Analysis
N. Slonim, Atwal, G. Singh, Tkačik, G., and Bialek, W., “Information-based clustering.”, Proc Natl Acad Sci U S A, vol. 102, no. 51, pp. 18297-302, 2005.
Computational Biology
W. Bialek and Botstein, D., “Introductory science and mathematics education for 21st-Century biologists.”, Science, vol. 303, no. 5659, pp. 788-90, 2004.
G. Tkačik, Gregor, T., and Bialek, W., “The role of input noise in transcriptional regulation.”, PLoS One, vol. 3, no. 7, p. e2774, 2008.
G. Tkačik, Callan, C. G., and Bialek, W., “Information capacity of genetic regulatory elements.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 78, no. 1 Pt 1, p. 011910, 2008.
G. Tkačik, Marre, O., Amodei, D., Schneidman, E., Bialek, W., and Berry, M. J., “Searching for collective behavior in a large network of sensory neurons.”, PLoS Comput Biol, vol. 10, no. 1, p. e1003408, 2014.
Computer Simulation
G. J. Stephens, Johnson-Kerner, B., Bialek, W., and Ryu, W. S., “Dimensionality and dynamics in the behavior of C. elegans.”, PLoS Comput Biol, vol. 4, no. 4, p. e1000028, 2008.
G. Tkačik and Bialek, W., “Diffusion, dimensionality, and noise in transcriptional regulation.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 79, no. 5 Pt 1, p. 051901, 2009.
I. Nemenman, Lewen, G. D., Bialek, W., and van Steveninck, R. R. de Ruyte, “Neural coding of natural stimuli: information at sub-millisecond resolution.”, PLoS Comput Biol, vol. 4, no. 3, p. e1000025, 2008.
G. Tkačik, Walczak, A. M., and Bialek, W., “Optimizing information flow in small genetic networks. III. A self-interacting gene.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 85, no. 4 Pt 1, p. 041903, 2012.
Curriculum
W. Bialek and Botstein, D., “Introductory science and mathematics education for 21st-Century biologists.”, Science, vol. 303, no. 5659, pp. 788-90, 2004.
Decision Making
T. Sharpee and Bialek, W., “Neural decision boundaries for maximal information transmission.”, PLoS One, vol. 2, no. 7, p. e646, 2007.
Diffusion
G. Tkačik, Callan, C. G., and Bialek, W., “Information capacity of genetic regulatory elements.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 78, no. 1 Pt 1, p. 011910, 2008.
T. Gregor, Wieschaus, E. F., McGregor, A. P., Bialek, W., and Tank, D. W., “Stability and nuclear dynamics of the bicoid morphogen gradient.”, Cell, vol. 130, no. 1, pp. 141-52, 2007.
T. Gregor, Bialek, W., van Steveninck, R. R. de Ruyte, Tank, D. W., and Wieschaus, E. F., “Diffusion and scaling during early embryonic pattern formation.”, Proc Natl Acad Sci U S A, vol. 102, no. 51, pp. 18403-7, 2005.
Diptera
I. Nemenman, Lewen, G. D., Bialek, W., and van Steveninck, R. R. de Ruyte, “Neural coding of natural stimuli: information at sub-millisecond resolution.”, PLoS Comput Biol, vol. 4, no. 3, p. e1000025, 2008.
Discrimination Learning
L. C. Osborne, Lisberger, S. G., and Bialek, W., “A sensory source for motor variation.”, Nature, vol. 437, no. 7057, pp. 412-6, 2005.
DNA
G. Tkačik and Bialek, W., “Diffusion, dimensionality, and noise in transcriptional regulation.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 79, no. 5 Pt 1, p. 051901, 2009.
T. Mora, Walczak, A. M., Bialek, W., and Callan, C. G., “Maximum entropy models for antibody diversity.”, Proc Natl Acad Sci U S A, vol. 107, no. 12, pp. 5405-10, 2010.
DNA-Binding Proteins
D. Krotov, Dubuis, J. O., Gregor, T., and Bialek, W., “Morphogenesis at criticality.”, Proc Natl Acad Sci U S A, vol. 111, no. 10, pp. 3683-8, 2014.
G. Tkačik, Callan, C. G., and Bialek, W., “Information flow and optimization in transcriptional regulation.”, Proc Natl Acad Sci U S A, vol. 105, no. 34, pp. 12265-70, 2008.
T. Gregor, Tank, D. W., Wieschaus, E. F., and Bialek, W., “Probing the limits to positional information.”, Cell, vol. 130, no. 1, pp. 153-64, 2007.
Drosophila
J. O. Dubuis, Tkačik, G., Wieschaus, E. F., Gregor, T., and Bialek, W., “Positional information, in bits.”, Proc Natl Acad Sci U S A, vol. 110, no. 41, pp. 16301-8, 2013.
D. Krotov, Dubuis, J. O., Gregor, T., and Bialek, W., “Morphogenesis at criticality.”, Proc Natl Acad Sci U S A, vol. 111, no. 10, pp. 3683-8, 2014.
G. Tkačik, Callan, C. G., and Bialek, W., “Information flow and optimization in transcriptional regulation.”, Proc Natl Acad Sci U S A, vol. 105, no. 34, pp. 12265-70, 2008.
G. Tkačik, Gregor, T., and Bialek, W., “The role of input noise in transcriptional regulation.”, PLoS One, vol. 3, no. 7, p. e2774, 2008.
Drosophila melanogaster
T. Gregor, Wieschaus, E. F., McGregor, A. P., Bialek, W., and Tank, D. W., “Stability and nuclear dynamics of the bicoid morphogen gradient.”, Cell, vol. 130, no. 1, pp. 141-52, 2007.
T. Gregor, Tank, D. W., Wieschaus, E. F., and Bialek, W., “Probing the limits to positional information.”, Cell, vol. 130, no. 1, pp. 153-64, 2007.
T. Gregor, Bialek, W., van Steveninck, R. R. de Ruyte, Tank, D. W., and Wieschaus, E. F., “Diffusion and scaling during early embryonic pattern formation.”, Proc Natl Acad Sci U S A, vol. 102, no. 51, pp. 18403-7, 2005.
Drosophila Proteins
D. Krotov, Dubuis, J. O., Gregor, T., and Bialek, W., “Morphogenesis at criticality.”, Proc Natl Acad Sci U S A, vol. 111, no. 10, pp. 3683-8, 2014.
T. Gregor, Tank, D. W., Wieschaus, E. F., and Bialek, W., “Probing the limits to positional information.”, Cell, vol. 130, no. 1, pp. 153-64, 2007.
G. Tkačik, Callan, C. G., and Bialek, W., “Information flow and optimization in transcriptional regulation.”, Proc Natl Acad Sci U S A, vol. 105, no. 34, pp. 12265-70, 2008.
Efferent Pathways
T. L. Adelman, Bialek, W., and Olberg, R. M., “The information content of receptive fields.”, Neuron, vol. 40, no. 4, pp. 823-33, 2003.
Embryo, Nonmammalian
D. Krotov, Dubuis, J. O., Gregor, T., and Bialek, W., “Morphogenesis at criticality.”, Proc Natl Acad Sci U S A, vol. 111, no. 10, pp. 3683-8, 2014.
T. Gregor, Bialek, W., van Steveninck, R. R. de Ruyte, Tank, D. W., and Wieschaus, E. F., “Diffusion and scaling during early embryonic pattern formation.”, Proc Natl Acad Sci U S A, vol. 102, no. 51, pp. 18403-7, 2005.
Embryonic Development
J. O. Dubuis, Tkačik, G., Wieschaus, E. F., Gregor, T., and Bialek, W., “Positional information, in bits.”, Proc Natl Acad Sci U S A, vol. 110, no. 41, pp. 16301-8, 2013.
W. Bialek, “QnAs with William Bialek.”, Proc Natl Acad Sci U S A, vol. 110, no. 41, p. 16288, 2013.
Entropy
W. Bialek, Cavagna, A., Giardina, I., Mora, T., Silvestri, E., Viale, M., and Walczak, A. M., “Statistical mechanics for natural flocks of birds.”, Proc Natl Acad Sci U S A, vol. 109, no. 13, pp. 4786-91, 2012.
T. Sharpee and Bialek, W., “Neural decision boundaries for maximal information transmission.”, PLoS One, vol. 2, no. 7, p. e646, 2007.
E. Schneidman, Berry, M. J., Segev, R., and Bialek, W., “Weak pairwise correlations imply strongly correlated network states in a neural population.”, Nature, vol. 440, no. 7087, pp. 1007-12, 2006.
G. J. Stephens, Osborne, L. C., and Bialek, W., “Searching for simplicity in the analysis of neurons and behavior.”, Proc Natl Acad Sci U S A, vol. 108 Suppl 3, pp. 15565-71, 2011.
G. Tkačik, Marre, O., Amodei, D., Schneidman, E., Bialek, W., and Berry, M. J., “Searching for collective behavior in a large network of sensory neurons.”, PLoS Comput Biol, vol. 10, no. 1, p. e1003408, 2014.
W. Bialek, Cavagna, A., Giardina, I., Mora, T., Pohl, O., Silvestri, E., Viale, M., and Walczak, A. M., “Social interactions dominate speed control in poising natural flocks near criticality.”, Proc Natl Acad Sci U S A, vol. 111, no. 20, pp. 7212-7, 2014.
T. Mora, Walczak, A. M., Bialek, W., and Callan, C. G., “Maximum entropy models for antibody diversity.”, Proc Natl Acad Sci U S A, vol. 107, no. 12, pp. 5405-10, 2010.
G. J. Stephens and Bialek, W., “Statistical mechanics of letters in words.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 81, no. 6 Pt 2, p. 066119, 2010.
Environment
N. Slonim, Atwal, G. Singh, Tkačik, G., and Bialek, W., “Information-based clustering.”, Proc Natl Acad Sci U S A, vol. 102, no. 51, pp. 18297-302, 2005.
Evoked Potentials, Visual
I. Nemenman, Lewen, G. D., Bialek, W., and van Steveninck, R. R. de Ruyte, “Neural coding of natural stimuli: information at sub-millisecond resolution.”, PLoS Comput Biol, vol. 4, no. 3, p. e1000025, 2008.
Evolution, Molecular
T. Mora, Walczak, A. M., Bialek, W., and Callan, C. G., “Maximum entropy models for antibody diversity.”, Proc Natl Acad Sci U S A, vol. 107, no. 12, pp. 5405-10, 2010.
Eye Movements
L. C. Osborne, Lisberger, S. G., and Bialek, W., “A sensory source for motor variation.”, Nature, vol. 437, no. 7057, pp. 412-6, 2005.
L. C. Osborne, Hohl, S. S., Bialek, W., and Lisberger, S. G., “Time course of precision in smooth-pursuit eye movements of monkeys.”, J Neurosci, vol. 27, no. 11, pp. 2987-98, 2007.
L. C. Osborne, Bialek, W., and Lisberger, S. G., “Time course of information about motion direction in visual area MT of macaque monkeys.”, J Neurosci, vol. 24, no. 13, pp. 3210-22, 2004.
Feedback, Physiological
A. M. Walczak, Tkačik, G., and Bialek, W., “Optimizing information flow in small genetic networks. II. Feed-forward interactions.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 81, no. 4 Pt 1, p. 041905, 2010.
Feeding Behavior
G. J. Stephens, Johnson-Kerner, B., Bialek, W., and Ryu, W. S., “From modes to movement in the behavior of Caenorhabditis elegans.”, PLoS One, vol. 5, no. 11, p. e13914, 2010.
Fishes
G. Tkačik, Marre, O., Amodei, D., Schneidman, E., Bialek, W., and Berry, M. J., “Searching for collective behavior in a large network of sensory neurons.”, PLoS Comput Biol, vol. 10, no. 1, p. e1003408, 2014.
Fixation, Ocular
L. C. Osborne, Lisberger, S. G., and Bialek, W., “A sensory source for motor variation.”, Nature, vol. 437, no. 7057, pp. 412-6, 2005.
Flight, Animal
W. Bialek, Cavagna, A., Giardina, I., Mora, T., Silvestri, E., Viale, M., and Walczak, A. M., “Statistical mechanics for natural flocks of birds.”, Proc Natl Acad Sci U S A, vol. 109, no. 13, pp. 4786-91, 2012.
W. Bialek, Cavagna, A., Giardina, I., Mora, T., Pohl, O., Silvestri, E., Viale, M., and Walczak, A. M., “Social interactions dominate speed control in poising natural flocks near criticality.”, Proc Natl Acad Sci U S A, vol. 111, no. 20, pp. 7212-7, 2014.
Fluorescence Recovery After Photobleaching
T. Gregor, Wieschaus, E. F., McGregor, A. P., Bialek, W., and Tank, D. W., “Stability and nuclear dynamics of the bicoid morphogen gradient.”, Cell, vol. 130, no. 1, pp. 141-52, 2007.
Gait
G. J. Stephens, Johnson-Kerner, B., Bialek, W., and Ryu, W. S., “Dimensionality and dynamics in the behavior of C. elegans.”, PLoS Comput Biol, vol. 4, no. 4, p. e1000028, 2008.
Ganglia, Invertebrate
T. L. Adelman, Bialek, W., and Olberg, R. M., “The information content of receptive fields.”, Neuron, vol. 40, no. 4, pp. 823-33, 2003.
Gene Expression Profiling
G. Tkačik, Gregor, T., and Bialek, W., “The role of input noise in transcriptional regulation.”, PLoS One, vol. 3, no. 7, p. e2774, 2008.
N. Slonim, Atwal, G. Singh, Tkačik, G., and Bialek, W., “Information-based clustering.”, Proc Natl Acad Sci U S A, vol. 102, no. 51, pp. 18297-302, 2005.
T. Gregor, Bialek, W., van Steveninck, R. R. de Ruyte, Tank, D. W., and Wieschaus, E. F., “Diffusion and scaling during early embryonic pattern formation.”, Proc Natl Acad Sci U S A, vol. 102, no. 51, pp. 18403-7, 2005.
Gene Expression Regulation
G. Tkačik, Gregor, T., and Bialek, W., “The role of input noise in transcriptional regulation.”, PLoS One, vol. 3, no. 7, p. e2774, 2008.
G. Tkačik and Bialek, W., “Diffusion, dimensionality, and noise in transcriptional regulation.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 79, no. 5 Pt 1, p. 051901, 2009.
G. Tkačik, Walczak, A. M., and Bialek, W., “Optimizing information flow in small genetic networks. III. A self-interacting gene.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 85, no. 4 Pt 1, p. 041903, 2012.
G. Tkačik, Callan, C. G., and Bialek, W., “Information flow and optimization in transcriptional regulation.”, Proc Natl Acad Sci U S A, vol. 105, no. 34, pp. 12265-70, 2008.
G. Tkačik, Walczak, A. M., and Bialek, W., “Optimizing information flow in small genetic networks.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 80, no. 3 Pt 1, p. 031920, 2009.
Gene Expression Regulation, Bacterial
W. Bialek and Setayeshgar, S., “Physical limits to biochemical signaling.”, Proc Natl Acad Sci U S A, vol. 102, no. 29, pp. 10040-5, 2005.
Gene Expression Regulation, Developmental
J. O. Dubuis, Tkačik, G., Wieschaus, E. F., Gregor, T., and Bialek, W., “Positional information, in bits.”, Proc Natl Acad Sci U S A, vol. 110, no. 41, pp. 16301-8, 2013.
D. Krotov, Dubuis, J. O., Gregor, T., and Bialek, W., “Morphogenesis at criticality.”, Proc Natl Acad Sci U S A, vol. 111, no. 10, pp. 3683-8, 2014.
T. Gregor, Bialek, W., van Steveninck, R. R. de Ruyte, Tank, D. W., and Wieschaus, E. F., “Diffusion and scaling during early embryonic pattern formation.”, Proc Natl Acad Sci U S A, vol. 102, no. 51, pp. 18403-7, 2005.
Gene Expression Regulation, Fungal
N. Slonim, Atwal, G. Singh, Tkačik, G., and Bialek, W., “Information-based clustering.”, Proc Natl Acad Sci U S A, vol. 102, no. 51, pp. 18297-302, 2005.
Gene Regulatory Networks
J. O. Dubuis, Tkačik, G., Wieschaus, E. F., Gregor, T., and Bialek, W., “Positional information, in bits.”, Proc Natl Acad Sci U S A, vol. 110, no. 41, pp. 16301-8, 2013.
D. Krotov, Dubuis, J. O., Gregor, T., and Bialek, W., “Morphogenesis at criticality.”, Proc Natl Acad Sci U S A, vol. 111, no. 10, pp. 3683-8, 2014.
G. Tkačik, Callan, C. G., and Bialek, W., “Information flow and optimization in transcriptional regulation.”, Proc Natl Acad Sci U S A, vol. 105, no. 34, pp. 12265-70, 2008.
A. M. Walczak, Tkačik, G., and Bialek, W., “Optimizing information flow in small genetic networks. II. Feed-forward interactions.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 81, no. 4 Pt 1, p. 041905, 2010.
G. Tkačik, Walczak, A. M., and Bialek, W., “Optimizing information flow in small genetic networks.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 80, no. 3 Pt 1, p. 031920, 2009.
Genes
A. M. Walczak, Tkačik, G., and Bialek, W., “Optimizing information flow in small genetic networks. II. Feed-forward interactions.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 81, no. 4 Pt 1, p. 041905, 2010.
Guinea Pigs
E. Schneidman, Berry, M. J., Segev, R., and Bialek, W., “Weak pairwise correlations imply strongly correlated network states in a neural population.”, Nature, vol. 440, no. 7087, pp. 1007-12, 2006.
E. Schneidman, Puchalla, J. L., Segev, R., Harris, R. A., Bialek, W., and Berry, M. J., “Synergy from silence in a combinatorial neural code.”, J Neurosci, vol. 31, no. 44, pp. 15732-41, 2011.
Haplorhini
L. C. Osborne, Palmer, S. E., Lisberger, S. G., and Bialek, W., “The neural basis for combinatorial coding in a cortical population response.”, J Neurosci, vol. 28, no. 50, pp. 13522-31, 2008.
Hemoglobins
T. Gregor, Tank, D. W., Wieschaus, E. F., and Bialek, W., “Probing the limits to positional information.”, Cell, vol. 130, no. 1, pp. 153-64, 2007.
History, 21st Century
W. Bialek, “QnAs with William Bialek.”, Proc Natl Acad Sci U S A, vol. 110, no. 41, p. 16288, 2013.
Homeodomain Proteins
T. Gregor, Wieschaus, E. F., McGregor, A. P., Bialek, W., and Tank, D. W., “Stability and nuclear dynamics of the bicoid morphogen gradient.”, Cell, vol. 130, no. 1, pp. 141-52, 2007.
G. Tkačik, Callan, C. G., and Bialek, W., “Information flow and optimization in transcriptional regulation.”, Proc Natl Acad Sci U S A, vol. 105, no. 34, pp. 12265-70, 2008.
T. Gregor, Tank, D. W., Wieschaus, E. F., and Bialek, W., “Probing the limits to positional information.”, Cell, vol. 130, no. 1, pp. 153-64, 2007.
Homeostasis
T. Gregor, Wieschaus, E. F., McGregor, A. P., Bialek, W., and Tank, D. W., “Stability and nuclear dynamics of the bicoid morphogen gradient.”, Cell, vol. 130, no. 1, pp. 141-52, 2007.
Humans
T. Sharpee and Bialek, W., “Neural decision boundaries for maximal information transmission.”, PLoS One, vol. 2, no. 7, p. e646, 2007.
T. Sharpee, Rust, N. C., and Bialek, W., “Analyzing neural responses to natural signals: maximally informative dimensions.”, Neural Comput, vol. 16, no. 2, pp. 223-50, 2004.
G. J. Stephens, Osborne, L. C., and Bialek, W., “Searching for simplicity in the analysis of neurons and behavior.”, Proc Natl Acad Sci U S A, vol. 108 Suppl 3, pp. 15565-71, 2011.
G. Tkačik, Callan, C. G., and Bialek, W., “Information capacity of genetic regulatory elements.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 78, no. 1 Pt 1, p. 011910, 2008.
G. Tkačik, Walczak, A. M., and Bialek, W., “Optimizing information flow in small genetic networks. III. A self-interacting gene.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 85, no. 4 Pt 1, p. 041903, 2012.
N. Brenner, Agam, O., Bialek, W., and van Steveninck, Rde Ruyter, “Statistical properties of spike trains: universal and stimulus-dependent aspects.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 66, no. 3 Pt 1, p. 031907, 2002.
Image Processing, Computer-Assisted
G. J. Stephens, Mora, T., Tkačik, G., and Bialek, W., “Statistical thermodynamics of natural images.”, Phys Rev Lett, vol. 110, no. 1, p. 018701, 2013.
Immunoglobulin M
T. Mora, Walczak, A. M., Bialek, W., and Callan, C. G., “Maximum entropy models for antibody diversity.”, Proc Natl Acad Sci U S A, vol. 107, no. 12, pp. 5405-10, 2010.
Information Services
E. Schneidman, Still, S., Berry, M. J., and Bialek, W., “Network information and connected correlations.”, Phys Rev Lett, vol. 91, no. 23, p. 238701, 2003.
Information Storage and Retrieval
G. Tkačik, Walczak, A. M., and Bialek, W., “Optimizing information flow in small genetic networks. III. A self-interacting gene.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 85, no. 4 Pt 1, p. 041903, 2012.
Information Theory
G. Tkačik, Callan, C. G., and Bialek, W., “Information flow and optimization in transcriptional regulation.”, Proc Natl Acad Sci U S A, vol. 105, no. 34, pp. 12265-70, 2008.
Insects
T. L. Adelman, Bialek, W., and Olberg, R. M., “The information content of receptive fields.”, Neuron, vol. 40, no. 4, pp. 823-33, 2003.
Interdisciplinary Communication
W. Bialek and Botstein, D., “Introductory science and mathematics education for 21st-Century biologists.”, Science, vol. 303, no. 5659, pp. 788-90, 2004.
Kinetics
W. Bialek and Setayeshgar, S., “Cooperativity, sensitivity, and noise in biochemical signaling.”, Phys Rev Lett, vol. 100, no. 25, p. 258101, 2008.
Kruppel-Like Transcription Factors
D. Krotov, Dubuis, J. O., Gregor, T., and Bialek, W., “Morphogenesis at criticality.”, Proc Natl Acad Sci U S A, vol. 111, no. 10, pp. 3683-8, 2014.
Language
G. J. Stephens and Bialek, W., “Statistical mechanics of letters in words.”, Phys Rev E Stat Nonlin Soft Matter Phys, vol. 81, no. 6 Pt 2, p. 066119, 2010.
Learning
T. Sharpee and Bialek, W., “Neural decision boundaries for maximal information transmission.”, PLoS One, vol. 2, no. 7, p. e646, 2007.
Ligands
W. Bialek and Setayeshgar, S., “Cooperativity, sensitivity, and noise in biochemical signaling.”, Phys Rev Lett, vol. 100, no. 25, p. 258101, 2008.
Light
E. Schneidman, Puchalla, J. L., Segev, R., Harris, R. A., Bialek, W., and Berry, M. J., “Synergy from silence in a combinatorial neural code.”, J Neurosci, vol. 31, no. 44, pp. 15732-41, 2011.
Locomotion
G. J. Stephens, de Mesquita, M. Bueno, Ryu, W. S., and Bialek, W., “Emergence of long timescales and stereotyped behaviors in Caenorhabditis elegans.”, Proc Natl Acad Sci U S A, vol. 108, no. 18, pp. 7286-9, 2011.
G. J. Stephens, Johnson-Kerner, B., Bialek, W., and Ryu, W. S., “Dimensionality and dynamics in the behavior of C. elegans.”, PLoS Comput Biol, vol. 4, no. 4, p. e1000028, 2008.
Macaca
L. C. Osborne, Bialek, W., and Lisberger, S. G., “Time course of information about motion direction in visual area MT of macaque monkeys.”, J Neurosci, vol. 24, no. 13, pp. 3210-22, 2004.
Macaca mulatta
L. C. Osborne, Lisberger, S. G., and Bialek, W., “A sensory source for motor variation.”, Nature, vol. 437, no. 7057, pp. 412-6, 2005.

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