共 25 条
Decay of connection probabilities with distance in 2D and 3D neuronal networks
被引:5
作者:

Goriachkin, Vasilii
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h-index: 0
机构:
Lund Univ, Fac Sci, Math Ctr, Solvegatan 18, S-22100 Lund, Sweden Lund Univ, Fac Sci, Math Ctr, Solvegatan 18, S-22100 Lund, Sweden

Turova, Tatyana
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机构:
Lund Univ, Fac Sci, Math Ctr, Solvegatan 18, S-22100 Lund, Sweden Lund Univ, Fac Sci, Math Ctr, Solvegatan 18, S-22100 Lund, Sweden
机构:
[1] Lund Univ, Fac Sci, Math Ctr, Solvegatan 18, S-22100 Lund, Sweden
来源:
基金:
瑞典研究理事会;
关键词:
Randomly grown network;
Random graphs;
Connection probabilities;
PERCOLATION;
OUTGROWTH;
RULE;
D O I:
10.1016/j.biosystems.2019.103991
中图分类号:
Q [生物科学];
学科分类号:
07 ;
0710 ;
09 ;
摘要:
We study connectivity in a model of a growing neuronal network in dimensions 2 and 3. Although the axon-to-dendrite proximity is an insufficient condition for establishing a functional synapse, it is still a necessary one. Therefore we study connection probabilities at short distances between the randomly grown axon trees and somas as probabilities of potential connections between the corresponding neurons. Our results show that, contrary to a common belief, these probabilities do not necessarily decay polynomially or exponentially in distance, but there are regimes of parameter values when the probability of proximity is not sensitive to the distance. In particular, in 3 dimensions the Euclidean distance between the neuronal cell body centers of neurons seems to play a very subtle role, as the probabilities of connections are practically constant within a certain finite range of distance. The model has a sufficient number of parameters to assess networks of neurons of different types. Our results give a firm basis for further modelling of the neuronal connectivity taking into account some realistic bouton distributions for establishing synaptic connections.
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页数:7
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共 25 条
[1]
Networks of random trees as a model of neuronal connectivity
[J].
Ajazi, Fioralba
;
Chavez-Demoulin, Valerie
;
Turova, Tatyana
.
JOURNAL OF MATHEMATICAL BIOLOGY,
2019, 79 (05)
:1639-1663

Ajazi, Fioralba
论文数: 0 引用数: 0
h-index: 0
机构:
Lund Univ, Dept Math Stat, Fac Sci, Solvegatan 18, S-22100 Lund, Sweden
Univ Lausanne, Fac Business & Econ, CH-1015 Lausanne, Switzerland Lund Univ, Dept Math Stat, Fac Sci, Solvegatan 18, S-22100 Lund, Sweden

Chavez-Demoulin, Valerie
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Lausanne, Fac Business & Econ, CH-1015 Lausanne, Switzerland Lund Univ, Dept Math Stat, Fac Sci, Solvegatan 18, S-22100 Lund, Sweden

Turova, Tatyana
论文数: 0 引用数: 0
h-index: 0
机构:
Lund Univ, Dept Math Stat, Fac Sci, Solvegatan 18, S-22100 Lund, Sweden
IMPB, Moscow, Russia Lund Univ, Dept Math Stat, Fac Sci, Solvegatan 18, S-22100 Lund, Sweden
[2]
Structure of a randomly grown 2-d network
[J].
Ajazi, Fioralba
;
Napolitano, George M.
;
Turova, Tatyana
;
Zaurbek, Izbassar
.
BIOSYSTEMS,
2015, 136
:105-112

Ajazi, Fioralba
论文数: 0 引用数: 0
h-index: 0
机构:
Lund Univ, Fac Sci, Dept Math Stat, S-22100 Lund, Sweden
Univ Lausanne, Dept Informat Syst, Fac Business & Econ, Neuroheurist Res Grp, CH-1015 Lausanne, Switzerland Lund Univ, Fac Sci, Dept Math Stat, S-22100 Lund, Sweden

Napolitano, George M.
论文数: 0 引用数: 0
h-index: 0
机构:
Lund Univ, Fac Sci, Dept Math Stat, S-22100 Lund, Sweden Lund Univ, Fac Sci, Dept Math Stat, S-22100 Lund, Sweden

Turova, Tatyana
论文数: 0 引用数: 0
h-index: 0
机构:
Lund Univ, Fac Sci, Dept Math Stat, S-22100 Lund, Sweden
Russian Acad Sci, Inst Math Problems Biol, Pushchino 142290, Moscow Region, Russia Lund Univ, Fac Sci, Dept Math Stat, S-22100 Lund, Sweden

Zaurbek, Izbassar
论文数: 0 引用数: 0
h-index: 0
机构:
Lund Univ, Fac Sci, Dept Math Stat, S-22100 Lund, Sweden Lund Univ, Fac Sci, Dept Math Stat, S-22100 Lund, Sweden
[3]
Spread-out percolation in Rd
[J].
Bollobas, Bela
;
Janson, Svante
;
Riordan, Oliver
.
RANDOM STRUCTURES & ALGORITHMS,
2007, 31 (02)
:239-246

Bollobas, Bela
论文数: 0 引用数: 0
h-index: 0
机构: Univ Cambridge, Dept Pure Math & Math Stat, Cambridge CB3 0WB, England

Janson, Svante
论文数: 0 引用数: 0
h-index: 0
机构: Univ Cambridge, Dept Pure Math & Math Stat, Cambridge CB3 0WB, England

Riordan, Oliver
论文数: 0 引用数: 0
h-index: 0
机构: Univ Cambridge, Dept Pure Math & Math Stat, Cambridge CB3 0WB, England
[4]
A Developmental Approach to Predicting Neuronal Connectivity from Small Biological Datasets: A Gradient-Based Neuron Growth Model
[J].
Borisyuk, Roman
;
al Azad, Abul Kalam
;
Conte, Deborah
;
Roberts, Alan
;
Soffe, Stephen R.
.
PLOS ONE,
2014, 9 (02)

Borisyuk, Roman
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Plymouth, Sch Comp & Math, Plymouth PL4 8AA, Devon, England
Russian Acad Sci, Inst Math Problems Biol, Pushchino 142292, Russia Univ Plymouth, Sch Comp & Math, Plymouth PL4 8AA, Devon, England

al Azad, Abul Kalam
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Plymouth, Sch Comp & Math, Plymouth PL4 8AA, Devon, England Univ Plymouth, Sch Comp & Math, Plymouth PL4 8AA, Devon, England

Conte, Deborah
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Bristol, Sch Biol Sci, Bristol, Avon, England Univ Plymouth, Sch Comp & Math, Plymouth PL4 8AA, Devon, England

Roberts, Alan
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Bristol, Sch Biol Sci, Bristol, Avon, England Univ Plymouth, Sch Comp & Math, Plymouth PL4 8AA, Devon, England

Soffe, Stephen R.
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Bristol, Sch Biol Sci, Bristol, Avon, England Univ Plymouth, Sch Comp & Math, Plymouth PL4 8AA, Devon, England
[5]
Structural and functional properties of a probabilistic model of neuronal connectivity in a simple locomotor network
[J].
Ferrario, Andrea
;
Merrison-Hort, Robert
;
Soffe, Stephen R.
;
Borisyuk, Roman
.
ELIFE,
2018, 7

Ferrario, Andrea
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Plymouth, Sch Comp Elect & Math, Plymouth, Devon, England Univ Plymouth, Sch Comp Elect & Math, Plymouth, Devon, England

Merrison-Hort, Robert
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Plymouth, Sch Comp Elect & Math, Plymouth, Devon, England Univ Plymouth, Sch Comp Elect & Math, Plymouth, Devon, England

Soffe, Stephen R.
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Bristol, Sch Biol Sci, Bristol, Avon, England Univ Plymouth, Sch Comp Elect & Math, Plymouth, Devon, England

Borisyuk, Roman
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Plymouth, Sch Comp Elect & Math, Plymouth, Devon, England Univ Plymouth, Sch Comp Elect & Math, Plymouth, Devon, England
[6]
Graph analysis of the human connectome: Promise, progress, and pitfalls
[J].
Fornito, Alex
;
Zalesky, Andrew
;
Breakspear, Michael
.
NEUROIMAGE,
2013, 80
:426-444

Fornito, Alex
论文数: 0 引用数: 0
h-index: 0
机构:
Monash Univ, Monash Clin & Imaging Neurosci, Sch Psychol & Psychiat, Clayton, Vic, Australia
Monash Univ, Monash Biomed Imaging, Clayton, Vic, Australia
Univ Melbourne, Melbourne Neuropsychiat Ctr, Dept Psychiat, Carlton, Vic, Australia
Univ Melbourne, Melbourne Hlth, Carlton, Vic, Australia
Univ Melbourne, Ctr Neural Engn, Parkville, Vic 3010, Australia
Univ Melbourne, NICTA Victorian Res Lab, Parkville, Vic 3010, Australia Monash Univ, Monash Clin & Imaging Neurosci, Sch Psychol & Psychiat, Clayton, Vic, Australia

论文数: 引用数:
h-index:
机构:

Breakspear, Michael
论文数: 0 引用数: 0
h-index: 0
机构:
Queensland Inst Med Res, Program Mental Hlth Res, Brisbane, Qld 4006, Australia
Univ New S Wales, Sch Psychiat, Sydney, NSW, Australia
Black Dog Inst, Sydney, NSW, Australia
Royal Brisbane & Womans Hosp, Metro North Mental Hlth Serv, Brisbane, Qld, Australia Monash Univ, Monash Clin & Imaging Neurosci, Sch Psychol & Psychiat, Clayton, Vic, Australia
[7]
Rich cell-type-specific network topology in neocortical microcircuitry (vol 20, pg 1004, 2017)
[J].
Gal, Eyal
;
London, Michael
;
Globerson, Amir
;
Ramaswamy, Srikanth
;
Reimann, Michael W.
;
Muller, Eilif
;
Markram, Henry
;
Segev, Idan
.
NATURE NEUROSCIENCE,
2017, 20 (07)
:1004-+

Gal, Eyal
论文数: 0 引用数: 0
h-index: 0
机构: Edmond and Lily Safra Center for Brain Sciences, Hebrew University, Jerusalem

London, Michael
论文数: 0 引用数: 0
h-index: 0
机构: Edmond and Lily Safra Center for Brain Sciences, Hebrew University, Jerusalem

Globerson, Amir
论文数: 0 引用数: 0
h-index: 0
机构: Edmond and Lily Safra Center for Brain Sciences, Hebrew University, Jerusalem

Ramaswamy, Srikanth
论文数: 0 引用数: 0
h-index: 0
机构: Edmond and Lily Safra Center for Brain Sciences, Hebrew University, Jerusalem

Reimann, Michael W.
论文数: 0 引用数: 0
h-index: 0
机构: Edmond and Lily Safra Center for Brain Sciences, Hebrew University, Jerusalem

Muller, Eilif
论文数: 0 引用数: 0
h-index: 0
机构: Edmond and Lily Safra Center for Brain Sciences, Hebrew University, Jerusalem

Markram, Henry
论文数: 0 引用数: 0
h-index: 0
机构: Edmond and Lily Safra Center for Brain Sciences, Hebrew University, Jerusalem

Segev, Idan
论文数: 0 引用数: 0
h-index: 0
机构: Edmond and Lily Safra Center for Brain Sciences, Hebrew University, Jerusalem
[8]
A random-matrix theory of the number sense
[J].
Hannagan, T.
;
Nieder, A.
;
Viswanathan, P.
;
Dehaene, S.
.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES,
2018, 373 (1740)

Hannagan, T.
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Paris Saclay, Univ Paris Sud, CEA DSV I2BM, Cognit Neuroimaging Unit,INSERM,NeuroSpin Ctr, F-91191 Gif Sur Yvette, France Univ Paris Saclay, Univ Paris Sud, CEA DSV I2BM, Cognit Neuroimaging Unit,INSERM,NeuroSpin Ctr, F-91191 Gif Sur Yvette, France

Nieder, A.
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Tubingen, Inst Neurobiol, Anim Physiol, D-72076 Tubingen, Germany Univ Paris Saclay, Univ Paris Sud, CEA DSV I2BM, Cognit Neuroimaging Unit,INSERM,NeuroSpin Ctr, F-91191 Gif Sur Yvette, France

Viswanathan, P.
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Tubingen, Inst Neurobiol, Anim Physiol, D-72076 Tubingen, Germany Univ Paris Saclay, Univ Paris Sud, CEA DSV I2BM, Cognit Neuroimaging Unit,INSERM,NeuroSpin Ctr, F-91191 Gif Sur Yvette, France

Dehaene, S.
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Paris Saclay, Univ Paris Sud, CEA DSV I2BM, Cognit Neuroimaging Unit,INSERM,NeuroSpin Ctr, F-91191 Gif Sur Yvette, France
Coll France, 11 Pl Marcelin Berthelot, F-75005 Paris, France Univ Paris Saclay, Univ Paris Sud, CEA DSV I2BM, Cognit Neuroimaging Unit,INSERM,NeuroSpin Ctr, F-91191 Gif Sur Yvette, France
[9]
Statistical connectivity provides a sufficient foundation for specific functional connectivity in neocortical neural microcircuits
[J].
Hill, Sean L.
;
Wang, Yun
;
Riachi, Imad
;
Schuermann, Felix
;
Markram, Henry
.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA,
2012, 109 (42)
:E2885-E2894

Hill, Sean L.
论文数: 0 引用数: 0
h-index: 0
机构:
Ecole Polytech Fed Lausanne, Brain Mind Inst, Blue Brain Project, CH-1015 Lausanne, Switzerland Ecole Polytech Fed Lausanne, Brain Mind Inst, Blue Brain Project, CH-1015 Lausanne, Switzerland

Wang, Yun
论文数: 0 引用数: 0
h-index: 0
机构:
Wenzhou Med Coll, Sch Optometry & Ophthalmol, Wenzhou 325027, Zhejiang, Peoples R China
Tufts Univ, Steward St Elizabeths Med Ctr, Boston, MA 02135 USA Ecole Polytech Fed Lausanne, Brain Mind Inst, Blue Brain Project, CH-1015 Lausanne, Switzerland

Riachi, Imad
论文数: 0 引用数: 0
h-index: 0
机构:
Ecole Polytech Fed Lausanne, Brain Mind Inst, Blue Brain Project, CH-1015 Lausanne, Switzerland Ecole Polytech Fed Lausanne, Brain Mind Inst, Blue Brain Project, CH-1015 Lausanne, Switzerland

Schuermann, Felix
论文数: 0 引用数: 0
h-index: 0
机构:
Ecole Polytech Fed Lausanne, Brain Mind Inst, Blue Brain Project, CH-1015 Lausanne, Switzerland Ecole Polytech Fed Lausanne, Brain Mind Inst, Blue Brain Project, CH-1015 Lausanne, Switzerland

Markram, Henry
论文数: 0 引用数: 0
h-index: 0
机构:
Ecole Polytech Fed Lausanne, Brain Mind Inst, Blue Brain Project, CH-1015 Lausanne, Switzerland Ecole Polytech Fed Lausanne, Brain Mind Inst, Blue Brain Project, CH-1015 Lausanne, Switzerland
[10]
A Simple Rule for Axon Outgrowth and Synaptic Competition Generates Realistic Connection Lengths and Filling Fractions
[J].
Kaiser, Marcus
;
Hilgetag, Claus C.
;
van Ooyen, Arjen
.
CEREBRAL CORTEX,
2009, 19 (12)
:3001-3010

论文数: 引用数:
h-index:
机构:

Hilgetag, Claus C.
论文数: 0 引用数: 0
h-index: 0
机构:
Jacobs Univ Bremen, Sch Sci & Engn, D-28759 Bremen, Germany
Boston Univ, Dept Hlth Sci, Sargent Coll, Boston, MA 02215 USA Newcastle Univ, Sch Comp Sci, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

van Ooyen, Arjen
论文数: 0 引用数: 0
h-index: 0
机构:
Vrije Univ Amsterdam, Ctr Neurogenom & Cognit Res, Dept Integrat Neurophysiol, NL-1081 HV Amsterdam, Netherlands Newcastle Univ, Sch Comp Sci, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England