The numerical solution of neural field models posed on realistic cortical domains

QR Code

The numerical solution of neural field models posed on realistic cortical domains

The mathematical modelling of neural activity is a hugely complex and prominent area of exploration that has been the focus of many researchers since the mid 1900s. Although many advancements and scientific breakthroughs have been made, there is still a great deal that is not yet understood about th...

Full description

Bibliographic Details
Main Author:	Petros, Sammy J.
Format:	Thesis (University of Nottingham only)
Language:	English
Published:	2023
Subjects:	neurons neural field models mathematical neuroscience delay differential equations
Online Access:	https://eprints.nottingham.ac.uk/72417/

Similar Items

Travelling waves in a neural field model with refractoriness
by: Meijer, Hil G.E., et al.
Published: (2014)

Neural fields with sigmoidal firing rates: approximate solutions
by: Coombes, Stephen, et al.
Published: (2010)

Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir
by: Mohd Nasir, Diana Sirmayunie
Published: (2010)

Dynamic instabilities in scalar neural field equations with space-dependent delays
by: Venkov, Nikola Atanasov, et al.
Published: (2007)

Numerical solutions of stiff ordinary differential equations and differential algebraic equations using one-step implicit hybrid methods
by: Khoo, Kai Wen
Published: (2015)

Numerical Solution of Ordinary and Delay Differential Equations by Runge-Kutta Type Methods
by: Ismail, Fudziah
Published: (1999)

Runge-Kutta Methods for Solving Ordinary and Delay Differential Equations
by: Alkhasawneh, Rae’d Ali Ahmed
Published: (2006)

Exotic dynamics in a firing rate model of neural tissue with threshold accommodation
by: Coombes, Stephen, et al.
Published: (2007)

Modeling electrocortical activity through improved local approximations of integral neural field equations
by: Coombes, Stephen, et al.
Published: (2007)

Diagonally implicit two and three derivative Runge-Kutta methods for solving first order oscillatory ordinary and delay differential equations
by: Ahmad, Nur Amirah
Published: (2020)

The dynamic analysis of different viral contents in facebook using susceptible-infected-recovered (SIR) model / Nordayana Mohd Azhar
by: Mohd Azhar, Nordayana
Published: (2020)

Waves, bumps, and patterns in neural field theories
by: Coombes, Stephen
Published: (2005)

Multistep block methods for solving higher order delay differential equations
by: Hoo, Yann Seong
Published: (2016)

Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman
by: Ismail, Fudziah, et al.
Published: (2005)

First passage times in integrate-and-fire neurons with stochastic thresholds
by: Braun, Wilhelm, et al.
Published: (2015)

Direct one-step block methods for solving special second order delay differential equations
by: Rasdi, Nadzirah
Published: (2013)

Explicit two-derivative Runge-Kutta type methods for solving third-order ordinary and retarded delay differential equations
by: Lee, Khai Chien
Published: (2022)

Interface dynamics in planar neural field models
by: Coombes, Stephen, et al.
Published: (2012)

Numerical solution of special second order initial value problems by hybrid type methods
by: Dauda Yusuf Jikantoro,
Published: (2014)

MHD stagnation point flow and heat transfer over a stretching/shrinking surface with induced magnetic field
by: Junoh, Mohamad Mustaqim
Published: (2020)

The interfacial dynamics of Amari type neural field models on finite domains
by: Gokce, Aytul
Published: (2017)

Shape of transition layers in a differential--delay equation
by: Wattis, Jonathan A.D.
Published: (2017)

Solving Delay Differential Equations Using Explicit Runge-Kutta Method
by: Aung, San Lwin
Published: (2004)

Pricing warrant by using binomial model: comparison between historical and implied volatility / Khairu Azlan Abd Aziz … [et al.]
by: Abd Aziz, Khairu Azlan, et al.
Published: (2020)

Conjugate duality in stochastic controls with delay
by: Wang, Zimeng, et al.
Published: (2017)

Direct Block Methods for Solving Special Second Order Ordinary Differential Equations and Their Parallel Implementations
by: Yap, Lee Ken
Published: (2008)

Block backward differentiation formula for solving ordinary and algebraic differential equations
by: Abasi, Naghmeh
Published: (2014)

Random walks for solving Robin boundary value problems and sampling in a bounded domain
by: Sharma, Akash
Published: (2022)

Vitamin D's role in neuronal development, brain morphology, behaviour, and inflammatory modulation – from a developmental perspective
by: Kozhevnikova, Sofia
Published: (2024)

Classification of second order partial differential equation using maple and comparison for the solutions
by: Algabishi, Ghadeer Omar S
Published: (2015)

Feedforward neural network for solving particular fractional differential equations
by: Admon, Mohd Rashid
Published: (2024)

Numerical solutions of linear fredholm integro-differential equations of the second kind using quadrature-difference methods
by: Jalius, Chriscella
Published: (2016)

Aligned MHD free convection flow of magnetic nanofluid over a moving vertical plate with convective boundary condition / Siti Nur Hidayatul Ashikin Ibrahim
by: Ibrahim, Siti Nur Hidayatul Ashikin
Published: (2020)

Optimal strategies of players in linear differential games.
by: Salimi, Mehdi
Published: (2011)

Numerical solutions of linear and nonlinear higher-order boundary value problems by differential transformation method and Adomian decomposition method
by: Che Hussin, Che Haziqah
Published: (2011)

Solving delay differential equations by Runge-Kutta method using different types of interpolation
by: Alkhasawneh, Rae'd Ali Ahmed
Published: (2001)

Block hybrid methods for numerical treatment of differential equations with applications
by: Yap, Lee Ken
Published: (2016)

Numerical methods for solving first and second order fuzzy differential equations
by: Afsharinafar, Reza
Published: (2014)

Snakes and ladders in an inhomogeneous neural field model
by: Avitabile, Daniele, et al.
Published: (2014)

The dynamics of neural fields on bounded domains: an interface approach for Dirichlet boundary conditions
by: Gökçe, Aytül, et al.
Published: (2017)