Frequency selectivity, multistability, and oscillations emerge from models of genetic regulatory systems

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

Guckenheimer, J., & Holmes, P. (1983) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-1140-2 · Cited by 16,144 · see citing works

Introduction to Applied Nonlinear Dynamical Systems and Chaos

Wiggins, S., & Mazel, D. S. (1990) · Computers in Physics · doi:10.1063/1.4822950 · Cited by 3,833 · see citing works

Stochastic mechanisms in gene expression.

McAdams, H., & Arkin, A. (1997) · Proceedings of the National Academy of Sciences of the United States of America · doi:10.1073/pnas.94.3.814 · Cited by 1,970 · see citing works

Calcium Signaling in Neurons: Molecular Mechanisms and Cellular Consequences

Ghosh, A., & Greenberg, M. E. (1995) · Science · doi:10.1126/science.7716515 · Cited by 1,408 · see citing works

Cross-family dimerization of transcription factors Fos/Jun and ATF/CREB alters DNA binding specificity.

Hai, T., & Curran, T. (1991) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.88.9.3720 · Cited by 1,321 · see citing works

An amplified sensitivity arising from covalent modification in biological systems.

Goldbeter, A., & Koshland, D. E. (1981) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.78.11.6840 · Cited by 1,209 · see citing works

Genetic dissection of consolidated memory in Drosophila

Tully, T., Preat, T., Boynton, S. C., & Del Vecchio, M. (1994) · Cell · doi:10.1016/0092-8674(94)90398-0 · Cited by 924 · see citing works

CREB as a Memory Modulator: induced expression of a dCREB2 activator isoform enhances long-term memory in drosophila

Yin, J. C. P., Del Vecchio, M., Zhou, H., & Tully, T. (1995) · Cell · doi:10.1016/0092-8674(95)90375-5 · Cited by 642 · see citing works

Biochemical Oscillations and Cellular Rhythms

Goldbeter, A., & Berridge, M. J. (1996) · Cambridge University Press eBooks · doi:10.1017/cbo9780511608193 · Cited by 611 · see citing works

Inducibility and negative autoregulation of CREM: An alternative promoter directs the expression of ICER, an early response repressor

Molina, C. A., Foulkes, N. S., Lalli, E., & Sassone‐Corsi, P. (1993) · Cell · doi:10.1016/0092-8674(93)90532-u · Cited by 601 · see citing works

Aplysia CREB2 represses long-term facilitation: Relief of repression converts transient facilitation into long-term functional and structural change

Bartsch, D., Ghirardi, M., Skehel, P. A., Karl, K. A., Herder, S. P., Chen, M., Bailey, C. H., & Kandel, E. R. (1995) · Cell · doi:10.1016/0092-8674(95)90213-9 · Cited by 572 · see citing works

MAP Kinase Translocates into the Nucleus of the Presynaptic Cell and Is Required for Long-Term Facilitation in Aplysia

Martin, K. C., Michael, D., Rose, J. C., Barad, M., Casadio, A., Zhu, H., & Kandel, E. R. (1997) · Neuron · doi:10.1016/s0896-6273(00)80330-x · Cited by 545 · see citing works

Circuit Simulation of Genetic Networks

McAdams, H. H., & Shapiro, L. (1995) · Science · doi:10.1126/science.7624793 · Cited by 519 · see citing works

A model for circadian oscillations in the Drosophila period protein (PER)

Goldbeter, A. (1995) · Proceedings of the Royal Society B Biological Sciences · doi:10.1098/rspb.1995.0153 · Cited by 515 · see citing works

Dynamical behaviour of biological regulatory networks—I. Biological role of feedback loops and practical use of the concept of the loop-characteristic state

Thomas, R., Thieffry, D., & Kaufman, M. (1995) · Bulletin of Mathematical Biology · doi:10.1007/bf02460618 · Cited by 490 · see citing works

CREB and the formation of long-term memory

Yin, J. C. P., & Tully, T. P. (1996) · Current Opinion in Neurobiology · doi:10.1016/s0959-4388(96)80082-1 · Cited by 399 · see citing works

Signal transduction from the cell surface to the nucleus through the phosphorylation of transcription factors

Karin, M. (1994) · Current Opinion in Cell Biology · doi:10.1016/0955-0674(94)90035-3 · Cited by 394 · see citing works

Transcription Factors Responsive to cAMP

Sassone‐Corsi, P. (1995) · Annual Review of Cell and Developmental Biology · doi:10.1146/annurev.cb.11.110195.002035 · Cited by 385 · see citing works

Oncoprotein-Mediated Signalling Cascade Stimulates c-Jun Activity by Phosphorylation of Serines 63 and 73

Smeal, T., Binétruy, B., Mercola, D., Grover-Bardwick, A., Heidecker, G., Rapp, U. R., & Karin, M. (1992) · Molecular and Cellular Biology · doi:10.1128/mcb.12.8.3507 · Cited by 335 · see citing works

Intraserial repetition and coding processes in free recall

Madigan, S. A. (1969) · Journal of Verbal Learning and Verbal Behavior · doi:10.1016/s0022-5371(69)80050-2 · Cited by 241 · see citing works

Characterization of Motifs Which Are Critical for Activity of the Cyclic AMP-Responsive Transcription Factor CREB

Gonzalez, G. A., Menzel, P., Leonard, J., Fischer, W. H., & Montminy, M. (1991) · Molecular and Cellular Biology · doi:10.1128/mcb.11.3.1306 · Cited by 232 · see citing works

The numerical integration of ordinary differential equations

Gear, C. W. (1967) · Mathematics of Computation · doi:10.1090/s0025-5718-1967-0225494-5 · Cited by 200 · see citing works

Regulated Expression of the Neural Cell Adhesion Molecule L1 by Specific Patterns of Neural Impulses

Itoh, K., Stevens, B., Schachner, M., & Fields, R. D. (1995) · Science · doi:10.1126/science.270.5240.1369 · Cited by 166 · see citing works

Model for cooperative control of positional information in Drosophila by bicoid and maternal hunchback

Reinitz, J., Mjolsness, E., & Sharp, D. H. (1995) · Journal of Experimental Zoology · doi:10.1002/jez.1402710106 · Cited by 149 · see citing works

Model genetic circuits encoding autoregulatory transcription factors

Keller, A. (1995) · Journal of Theoretical Biology · doi:10.1006/jtbi.1995.0014 · Cited by 133 · see citing works

Specific regulation of immediate early genes by patterned neuronal activity

SHENG, H. Z., Fields, R. D., & Nelson, P. G. (1993) · Journal of Neuroscience Research · doi:10.1002/jnr.490350502 · Cited by 127 · see citing works

Analysis of the Structural Properties of cAMP-responsive Element-binding Protein (CREB) and Phosphorylated CREB

Richards, J. P., Bächinger, H. P., Goodman, R. H., & Brennan, R. G. (1996) · Journal of Biological Chemistry · doi:10.1074/jbc.271.23.13716 · Cited by 116 · see citing works

Expression of the gene encoding transcription factor cyclic adenosine 3',5'-monophosphate (cAMP) response element-binding protein (CREB): regulation by follicle-stimulating hormone-induced cAMP signaling in primary rat Sertoli cells.

Walker, W. H., Fucci, L., & Habener, J. F. (1995) · Endocrinology · doi:10.1210/endo.136.8.7628390 · Cited by 113 · see citing works

The promoter of the gene encoding 3',5'-cyclic adenosine monophosphate (cAMP) response element binding protein contains cAMP response elements: evidence for positive autoregulation of gene transcription

Meyer, T. E., Waeber, G., Lin, J. C., Beckman, W., & Habener, J. F. (1993) · Endocrinology · doi:10.1210/endo.132.2.8381074 · Cited by 109 · see citing works

Pulsatile patterns in hormone secretion

Brabant, G. E., Prank, K., & Schöfl, C. (1992) · Trends in Endocrinology and Metabolism · doi:10.1016/1043-2760(92)90169-2 · Cited by 104 · see citing works

Cell signalling and the control of gene transcription

Edwards, D. R. (1994) · Trends in Pharmacological Sciences · doi:10.1016/0165-6147(94)90318-2 · Cited by 83 · see citing works

Of fin and fur: mutational analysis of vertebrate embryonic development.Preprint

Rossant, J., & Hopkins, N. H. (1992) · Genes & Development · doi:10.1101/gad.6.1.1 · Cited by 79 · see citing works

Counting and Classifying Attractors in High Dimensional Dynamical Systems

Bagley, R. J., & Glass, L. (1996) · Journal of Theoretical Biology · doi:10.1006/jtbi.1996.0220 · Cited by 76 · see citing works

Crosstalk between the thyroid hormone and peroxisome proliferator-activated receptors in regulating peroxisome proliferator-responsive genes

Hunter, J. (1996) · Molecular and Cellular Endocrinology · doi:10.1016/0303-7207(95)03717-9 · Cited by 74 · see citing works

A Composite Ets/Pit-1 Binding Site in the Prolactin Gene Can Mediate Transcriptional Responses to Multiple Signal Transduction Pathways

Howard, P. W., & Maurer, R. A. (1995) · Journal of Biological Chemistry · doi:10.1074/jbc.270.36.20930 · Cited by 71 · see citing works

Properties of learning curves under varied distributions of practice.

Kientzle, M. J. (1946) · Journal of Experimental Psychology · doi:10.1037/h0061164 · Cited by 68 · see citing works

The gene expression matrix: Towards the extraction of genetic network architectures

Somogyi, R., Fuhrman, S., Askenazi, M., et al. (1997) · Nonlinear Analysis · doi:10.1016/s0362-546x(97)00217-4 · Cited by 63 · see citing works

Multiple Protein Factors Interact with the cis-Regulatory Elements of the Proximal Promoter in a Cell-Specific Manner and Reg\ ulate Transcription of the Dopamine b-Hydroxylase Gene

Seo, H., Yang, C., Kim, H.-S., & Kim, K.-S. (1996) · Journal of Neuroscience · doi:10.1523/jneurosci.16-13-04102.1996 · Cited by 58 · see citing works

Dynamic monitoring and quantification of gene expression in single, living cells: a molecular basis for secretory cell heterogeneity.

Castano, J. P., Kineman, R. D., & Frawley, L. S. (1996) · Molecular Endocrinology · doi:10.1210/mend.10.5.8732690 · Cited by 52 · see citing works

Remembrance: the discovery of the hypothalamic gonadotropin-releasing hormone pulse generator and of its physiological significance

Knobil, E. (1992) · Endocrinology · doi:10.1210/endo.131.3.1505445 · Cited by 50 · see citing works

A possible role in chemical carcinogenesis for epigenetic, heritable changes in gene expression

MacLeod, M. C. (1996) · Molecular Carcinogenesis · doi:10.1002/(sici)1098-2744(199604)15:4 · Cited by 42 · see citing works

Long-term structural remodeling in Aplysia sensory neurons requires de novo protein synthesis during a critical time period

O'Leary, F., Byrne, J., & Cleary, L. J. (1995) · Journal of Neuroscience · doi:10.1523/jneurosci.15-05-03519.1995 · Cited by 39 · see citing works

Modulatory function of CREB.CREM alpha heterodimers depends upon CREM alpha phosphorylation.

Loriaux, M., Brennan, R. G., & Goodman, R. H. (1994) · Journal of Biological Chemistry · doi:10.1016/s0021-9258(19)61983-6 · Cited by 38 · see citing works

Cell Cycle Control in Fission Yeast and Mammals: Identification of New Regulatory Mechanisms

Okayama, H., Nagata, A., Jinno, S., Murakami, H., Tanaka, K., & Nakashima, N. (1996) · Advances in cancer research · doi:10.1016/s0065-230x(08)60859-3 · Cited by 33 · see citing works

Self-organized segmentation of time series: separating growth hormone secretion in acromegaly from normal controls

Prank, K., Kloppstech, M., Nowlan, S. J., B, T. J. S. A., & Brabant, G. E. (1996) · Biophysical Journal · doi:10.1016/s0006-3495(96)79825-9 · Cited by 22 · see citing works

The c-fos cAMP-response element: Regulation of gene expression by a β2-adrenergic agonist, serum and DNA methylation

Moens, U. L., Subramaniam, N., Johansen, B., & Aarbakke, J. (1993) · Biochimica et Biophysica Acta (BBA) - Gene Structure and Expression · doi:10.1016/0167-4781(93)90243-7 · Cited by 17 · see citing works

Multistability in the lactose utilization network of Escherichia coli

Ozbudak, E. M., Thattai, M., Lim, H. N., Shraiman, B. I., & van Oudenaarden, A. (2004) · Nature · doi:10.1038/nature02298 · Cited by 1,030 · see citing works

The right time to learn: Mechanisms and optimization of spaced learning

Smolen, P., Zhang, Y., & Byrne, J. H. (2016) · Nature Reviews Neuroscience · doi:10.1038/nrn.2015.18 · Cited by 326 · see citing works

Motifs, modules and games in bacteria

Wolf, D. M., & Arkin, A. P. (2003) · Current Opinion in Microbiology · doi:10.1016/s1369-5274(03)00033-x · Cited by 303 · see citing works

Interaction between Amount and Pattern of Training in the Induction of Intermediate- and Long-Term Memory for Sensitization in <i>Aplysia</i>

Sutton, M. A., Ide, J., Masters, S. E., & Carew, T. J. (2002) · Learning &amp; Memory · doi:10.1101/lm.44802 · Cited by 125 · see citing works

Computational design of enhanced learning protocols

Zhang, Y., Liu, R.-Y., Heberton, G. A., Smolen, P., Baxter, D. A., Cleary, L. J., & Byrne, J. H. (2012) · Nature Neuroscience · doi:10.1038/nn.2990 · Cited by 80 · see citing works

Localized Neuronal Outgrowth Induced by Long-Term Sensitization Training in<i>Aplysia</i>

Wainwright, M. L., Zhang, H., Byrne, J. H., & Cleary, L. J. (2002) · The Journal of Neuroscience · doi:10.1523/jneurosci.22-10-04132.2002 · Cited by 78 · see citing works

Experimental observation of extreme multistability in coupled electronic oscillatorsPreprint

Patel, M. S., Patel, U., Sen, A., et al. (2011) · arXiv (Cornell University)

heoretical study of nondegenerate two-photo optical multistability

Zheng, H. (1986) · Acta Optica Sinica

Experimental observation of extreme multistability in an electronic system of two coupled Rössler oscillators

Patel, M. S., Patel, U., Sen, A., et al. (2014) · Physical Review E · doi:10.1103/physreve.89.022918 · Cited by 100 · see citing works

Delay-dependent multistability in recurrent neural networks

Huang, G., & Cao, J. (2009) · Neural Networks · doi:10.1016/j.neunet.2009.10.004 · Cited by 65 · see citing works

What is Multistability

Pisarchik, A. N., & Hramov, A. E. (2022) · Springer series in synergetics · doi:10.1007/978-3-030-98396-3_1 · Cited by 4 · see citing works