Effects of passive dendritic tree properties on the firing dynamics of a leaky-integrate-and-fire neuron

Mathematical Biosciences
Abulhair Saparov, Michael A Schwemmer

Abstract

We study the effects of dendritic tree topology and biophysical properties on the firing dynamics of a leaky-integrate-and-fire (LIF) neuron that explicitly includes spiking dynamics. We model the dendrites as a multi-compartment tree with passive dynamics. Owing to the simplicity of the system, we obtain the full analytical solution for the model which we use to derive a lower dimensional return map that captures the complete dynamics of the system. Using the map, we explore how biophysical properties and dendritic tree architecture affect firing dynamics. As was first reported in earlier work by one of the authors, we also find that the addition of the dendritic tree can induce bistability between periodic firing and quiescence. However, we go beyond their results by systematically examining how dendritic tree topology affects the appearance of this bistable behavior. We find that the structure of the dendritic tree can have significant quantitative effects on the bifurcation structure of the system, with branchier topologies tending to promote bistable behavior over unbranched chain topologies. We also show that this effect occurs even when the input conductance at the soma is held fixed, indicating that the topology of the ...Continue Reading

References

Jan 1, 1991·Biological cybernetics·L F AbbottS Gutmann
Jun 1, 1994·Journal of Computational Neuroscience·P F Pinsky, J Rinzel
Aug 12, 1996·Neuroreport·M BodnerJ M Fuster
Oct 9, 1999·Biological cybernetics·P Lánský, R Rodriguez
Jan 22, 2000·Brain Research Bulletin·L F Abbott
Oct 29, 2000·Science·I Segev, M London
Sep 12, 2002·Network : Computation in Neural Systems·Arjen van OoyenJaap van Pelt
Oct 24, 2002·Bulletin of Mathematical Biology·Carlo R Laing, André Longtin
Nov 9, 2002·Journal of Neurophysiology·David Tsay, Rafael Yuste
May 16, 2003·Nature·Rosa CossartRafael Yuste
Sep 6, 1957·Science·W RALL
Nov 1, 1959·Experimental Neurology·W RALL
Jul 22, 2005·Annual Review of Neuroscience·Michael London, Michael Häusser
May 31, 2007·Biological cybernetics·S CoombesC M Colbert
May 13, 2008·Trends in Neurosciences·Daniel Johnston, Rishikesh Narayanan
Jun 19, 2009·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Michael H MyogaWade G Regehr
Apr 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Michael A Schwemmer, Timothy J Lewis
Aug 16, 2013·Journal of Mathematical Neuroscience·Yulia TimofeevaDavide Michieletto

❮ Previous
Next ❯

Citations

Jun 25, 2016·Wiley Interdisciplinary Reviews. Systems Biology and Medicine·Constantinos Siettos, Jens Starke
Feb 8, 2019·The Anatomical Record : Advances in Integrative Anatomy and Evolutionary Biology·Andrea PironeAlberto Granato

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.