Compartment model of neuropeptide synaptic transport with impulse control

Biological Cybernetics

Volumn 99, Issue 6, 2008, Pages 443-458

  Bielecki, Andrzej ^a   Kalita, Piotr ^a   Lewandowski, Marian ^a   Skomorowski, Marek ^a  

^a JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CALCIUM; CALCIUM ALLOYS; DIFFUSION; ELECTRON TUBES; EQUATIONS OF MOTION; NETWORKS (CIRCUITS); SEMICONDUCTOR DOPING;

COMPARTMENT MODELS; DENSE CORES; ELECTRONIC CIRCUITS; FREE DIFFUSIONS; FUNCTIONAL PROPERTIES; IMPULSE CONTROLS; MATHEMATICAL DESCRIPTIONS; NEUROPEPTIDE; NUMERICAL SIMULATIONS; PRESYNAPTIC; REACTION DIFFUSIONS; SPACE CONSTRAINTS; SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS; TRANSPORT PROCESSES;

ORDINARY DIFFERENTIAL EQUATIONS;

CALCIUM; NEUROPEPTIDE;

ALGORITHM; ANIMAL; ARTICLE; BIOLOGICAL MODEL; CALCIUM SIGNALING; CELL COMPARTMENTALIZATION; COMPUTER SIMULATION; DIFFUSION; HUMAN; METABOLISM; NERVE FIBER TRANSPORT; NERVOUS SYSTEM; PHYSIOLOGY; SECRETORY VESICLE; SYNAPTIC TRANSMISSION; SYNAPTOSOME;

ALGORITHMS; ANIMALS; AXONAL TRANSPORT; CALCIUM; CALCIUM SIGNALING; CELL COMPARTMENTATION; COMPUTER SIMULATION; DIFFUSION; HUMANS; MODELS, NEUROLOGICAL; NERVOUS SYSTEM; NEUROPEPTIDES; PRESYNAPTIC TERMINALS; SECRETORY VESICLES; SYNAPTIC TRANSMISSION;

EID: 57049100316     PISSN: 03401200     EISSN: 14320770     Source Type: Journal    
DOI: 10.1007/s00422-008-0250-0     Document Type: Article

References (37)

1. PR Adams SW Jones P Pennefather DA Brown C Koch B Lancaster 1986 Slow synaptic transmission in frog sympathetic ganglia J Exp Biol 124 259 285
2. Ashby WR (1958) An Introduction to Cybernetics. Chapman & Hall Ltd, London
3. F Aristizabal MI Glavinovic 2004 Simulation and parameter estimation of dynamics of synaptic depression Biol Cybern 90 3 18
4. MF Beal MF Mazurek GK Chattha CN Svendsen ED Bird JB Martin 1986 Neuropeptide Y immunocreativity is reduced in cerebral cortex in Alzheimer's disease Ann Neurol 20 282 288
5. MF Beal RA Clevens MF Mazurek 2004 Somatostatin and neuropeptide Y immunoreactivity in Parkinson's disease dementia with Alzheimer's changes Synapse 2 4 463 467
6. PP Bertrand EA Thomas WAA Kunze JC Bornstein 2000 A simple mathematical model of second-messenger mediated slow excitatory postsynaptic potentials J Comput Neurosci 8 127 142
7. Bielecki A, Kalita P, Lewandowski M (2006a) Model of fast synaptic transmission. In: Proceedings of the 12th national conference on application of mathematics in biology and medicine. Kraków, Poland, pp 13-18
8. Bielecki A, Skomorowski M, Woźniak R (2006) Electronic neural networks modelling. In: Cader A, Rutkowski L, Tadeusiewicz R, Żurada J (eds) Artificial intelligence and soft computing. Series: challenging problems of science-computer science Bolc L (ed). Academic Publishing House EXIT, Warszawa, Poland, pp 8-14
9. A Bielecki P Kalita 2008 Model of neurotransmitter fast transport in axon terminal of presynaptic neuron J Math Biol 56 4 559 576
10. IA Boyd AR Martin 1956 The end-plate potential in mammalian muscle J Physiol 132 74 91
11. J del Castillo B Katz 1954 Quantal components of the end-plate potential J Physiol 124 560 573
12. BS Donahue RF Abercrombie 1987 Free diffusion coefficient of ionic calcium in cytoplasm Cell Calcium 8 437 448
13. A Friedman G Craciun 2005 A model of intracellular transport of particles in an axon J Math Biol 51 217 246
14. SM Gabriel M Davidson V Haroutunian P Powchik LM Bierer 1996 Neuropeptide deficits in schizophrenia vs. Alzheimer's disease cerebral cortex Biol Psychiatry 39 82 91
15. P Greengard 2001 The neurobiology of slow synaptic transmission Science 294 1024 1030
16. W Han YK Ng D Axelrod ES Levitan 1999 Neuropeptide release by efficient recruitment of diffusing cytoplasmic secretory vesicles Proc Natl Acad Sci USA 96 14577 14582
17. LD Harmon 1961 Studies with artificial neuron-properties and functions of an artificial neuron Biol Cybern 1 89 101
18. JM Kalkstein KL Magleby 2003 Augmentation increases vesicular release probability in the presence of masking depression at the frog neuromuscular junction J Neurosci 24 4127 4134
19. Keener J, Sneyd J (1998) Mathematical physiology. Springer, New York
20. P Kruckenberg R Sandweg 1968 An analog model for acetylocholine release by motor nerve endings J Theoret Biol 19 327 332
21. ES Levitan F Lanni D Shakiryanova 2007 In vivo imaging of vesicle motion and release at the Drosophila neuromuscular junction Nat Protocols 2 1117 1125
22. ES Levitan 2008 Signaling for vesicle mobilization and synaptic plasticity Mol Neurobiol 37 1 39 43
23. KL Magleby CF Stevens 1972 A quantitative description of end-plate currents J Physiol 223 173 197
24. Y Masuo M Morita S Oka M Ishido 2004 Motor hyperactivity caused by a deficit in dopaminergic neurons and the effects of endocrine disruptors: a study inspired by the physiological roles of PACAP in the brain Regul Pept 123 225 234
25. J Nagumo S Arimoto S Yoshizawa 1964 An active pulse transmision line simulating nerve axon Proc IRE 50 2061 2070
26. YK Ng X Lu A Gulacsi W Han MJ Saxon ES Levitan 2003 Unexpected mobility variation among indyvidual secretory vesicles produces an apparent refractory neuropeptide pool Biophys J 84 4127 4134
27. RD Oades R Daniels W Rascher 1998 Plasma neuropeptide-Y levels, monoamine metabolism, electro lyte excretion and drinking behavior in children with attention-deficit hyperactivity disorder Psychiatry Res 80 177 186
28. W Rall 1969 Time constants and electronic length of membrane cylinders and neurons Biophys J 9 1483 1508
29. Scott A (1995) Stairway to the mind. Springer, New York
30. R Scott DA Rusakov 2006 Main determinants of presynaptic Ca2+ dynamics at individual mossy fiber-CA3 pyramidal cell synapses J Neurosci 26 7071 7081
31. D Shakiryanova A Tully RS Hewes DL Deitcher ES Levitan 2005 Activity-dependent liberation of synaptic neuropeptide vesicles Nat Neurosci 8 173 178
32. D Shakiryanova A Tully ES Levitan 2006 Activity-dependent synaptic capture of transiting peptidergic vesicles Nat Neurosci 9 896 900
33. Tadeusiewicz R (1994) Problems of biocybernetics. PWN, Warszawa (in Polish)
34. L Virgo C Humphries A Mortimer T Barnes S Hirsch J de Belleroche 1995 Cholecystokinin messenger RNA deficit in frontal and temporal cerebral cortex in schizophrenia Biol Psychiatry 37 694 701
35. Wong M, Shakiryanova D, Levitan ES (2008) Presynaptic ryanodine receptor-CamKII signaling is required for activity-dependent capture of transiting vesicles. J Mol Neurosci (to appear) doi: 10.1007/s12031-008-9080-8
36. SG Waxman 1972 Regional differentation of the axon: a review with special reference to the concept of the multiplex neuron Brain Res 47 269 288
37. Texas Instruments Incorporated (2006) Precision ADC and DACs with 8051 microcontroller and flash memory (Rev. F). http://focus.ti.com/docs/prod/ folders/print/msc1211y2.html, Texas Instruments