- MATH332: Problem set 11 Set 2011/05/03 ; Due 2011/05/10
- MATH201 Set 3 Second Order Linear Ordinary Differential Equations
- MATH201: Problem set 11 solutions to all problems
- MATH332: Set 8 Models with explicit time delay
- MATH332: Problem set 12 Set 2011/05/10 ; Due for self-assessment
- MATH332 Set 15 2004/03/05 COMPETITION PHASE PLANE
- MATH332 Set 22 2004/03/23 LYAPUNOV THEOREMS
- Pursuit-evasion predator-prey waves in two spatial dimensions V. N. Biktashev
- Computation of the response functions of spiral waves in active media I.V. Biktasheva
- MATH332 Set 10 2003/02/14 Age structured populations
- V.N. Biktashev. Final Report: ANALYTICAL APPROACH TO REALISTIC MODELS
- Spontaneous traveling waves in oscillatory systems with cross diffusion V. N. Biktashev
- MATH201: Problem set 2 solutions to the training set problems
- MATH332 Set 5 2004/10/13 Single species, discrete time
- Riding a Spiral Wave: Numerical Simulation of Spiral Waves in a CoMoving Frame of Reference
- Reentrant Arrhythmias and their Control in Models of Mammalian Cardiac Tissue
- Wavebreaks and selftermination of spiral waves in a model of human atrial tissue
- VOLUME 81, NUMBER 13 P H Y S I C A L R E V I E W L E T T E R S 28 SEPTEMBER 1998 Excitation Wave Breaking in Excitable Media with Linear Shear Flow
- MATH332 Set 6 2004/02/06 Hassell model
- MATH201 Set 2 1st Order ODEs: Homogeneous, Linear and Exact equations.
- MATH332: Set 19 Poincare-Andronov-Hopf Bifurcation
- MATH332: Set 21 Lyapunov's Stability Theory
- MATH201: Set 6 Second Order Linear ODEs
- MATH332: Problem set 1 Set 2011/02/01 ; Due 2011/02/08
- MATH332: Set 5 Single species, discrete time
- MATH332: Problem set 7 Set 2003/03/03 ; Due 2003/03/10
- MATH201: Problem set 7 solutions to the training set
- MATH201: Set 10 Systems of First Order Linear ODEs
- V.N. Biktashev, I.V. Biktasheva. Final Report: FEEDBACK CONTROL OF RESONANT DRIFT
- MATH332 Set 17 2003/03/14 POINCARE-ANDRONOV-HOPF
- MATH332: Problem set 5 Set 2003/02/17 ; Due 2003/02/24
- MATH332: Problem set 9 Set 2011/03/29 ; Due 2011/05/03
- MATH201: An extra problem for set 10 , with a solution Question (extra example)
- MATH201 Set 10 Systems of First Order Linear Ordinary Differential Equations II
- Riding a Spiral Wave: Numerical Simulation of Spiral Waves in a Co-Moving Frame of Reference
- MATH332 Set 4 2004/10/12 Spruce Budworm outbreak
- Wave-particle dualism of spiral waves dynamics I. V. Biktasheva
- On two mechanisms of the domain structure of ventricular fibrillation
- MATH332: Set 22 Lyapunov Theorems: Applications
- Causodynamics of autowave patterns V.N. Biktashev
- MATH201: Problem set 1 solutions to the training set problems
- MATH201: Problem set 4 solutions to the training set
- MATH201: Problem set 9 , answers to assessed set 1. (solution was already published)2. (solution was already published)3. (solution was already published)4. (solution was already published)
- MATH332: Problem set 8 Set 2003/03/10 ; Due 2003/03/17
- MATH332 Set 14 2004/03/01 Two Competing Populations
- NL3451 Vortex dynamics in excitable media 1 NL3451 Vortex dynamics in excitable media
- VeriWeb: Automatically Testing Dynamic Web Sites Michael Benedikt Juliana Freire Patrice Godefroid
- Solitonlike phenomena in onedimensional crossdiffusion systems: a predatorprey pursuit and evasion example
- NonTikhonov Asymptotic Properties of Cardiac Excitability V.N. Biktashev and R. Suckley
- ENVELOPE EQUATIONS FOR MODULATED NON-CONSERVATIVE
- MATH332 Addendum to Set 7 2003/02/04 How to divide polynomials
- MATH332: Set 23 Poincare-Bendixson theory
- MATH332: Set 4 Single species continuous time: Spruce Budworm
- MATH201: Problem set 9 Set 2009/11/23 ; Due 2009/12/03 17:00 a.m.
- Half-soliton interaction of population taxis waves in predator-prey systems with pursuit and M. A. Tsyganov
- MATH332: Set 15 Competition: Phase Plane Analysis
- MATH201: Problem set 4 solutions to the training set
- MATH332: Problem set 10 (2011/04/05 2011/05/10 ) --solutions A host-parasitoid model has dynamics
- MATH332: Problem set 4 Set 2004/10/19 ; Due 2004/10/26
- MATH201: Problem set 8 solutions to the training set problems
- MATH201 mock exam Dec 2010 -solutions Last updated 2010/12/17
- MATH201: Problem set 7 , answers to the assessed set 1. (solution was already published)2. (solution was already published)3. (solution was already published)
- MATH293: Problem set 6 (2004/11/03 2004/11/10 ) --solutions 1. Using integration by parts and starting from cos(ax) dx = 1
- MATH332: Problem set 1 Set 2004/01/26 ; Due 2004/02/02
- MATH332: Problem set 5 (2011/03/01 2011/03/08 ) --solutions 1. (adopted from 2000 exam) In a certain population, the intraspecific competi-
- MATH332 Set 2 2003/01/21 Intraspecific competition
- MATH332 Set 3 2004/10/06 Single species continuous time
- Localized sensitivity of spiral waves in the complex Ginzburg-Landau equation I. V. Biktasheva, Yu. E. Elkin, and V. N. Biktashev
- Waveparticle dualism of spiral waves dynamics I. V. Biktasheva
- Computation of the Drift Velocity of Spiral Waves using Response Functions I.V. Biktasheva and A.J. Foulkes
- Causodynamics of autowave patterns V.N. Biktashev
- Critical fronts in initiation of excitation waves I. Idris and V. N. Biktashev
- VOLUME 81, NUMBER 13 P HY S I CA L R E V I E W L E T T E R S 28 SEPTEMBER 1998 Excitation Wave Breaking in Excitable Media with Linear Shear Flow
- Spatiotemporal irregularity in an excitable medium with shear flow
- MATH332: Problem set 11 Set 2004/04/02 ; Due 2004/04/26
- MATH201: Problem set 1 solutions to the training problems
- MATH201: Problem set 4 Set 2010/10/19 ; Due 2010/10/26 14:00
- Spiral wave meander and symmetry of the plane V.N.Biktashev 1;2;\Lambda , A.V.Holden 2 and E.V.Nikolaev 1;2
- Drift of largecore spiral waves in inhomogeneous excitable media
- MATH332: Problem set 4 Set 2004/02/16 ; Due 2004/02/23
- Effects of shear flows on nonlinear waves in excitable media
- Dissipation of excitation fronts as a mechanism of conduction block in reentrant waves
- Initiation of Excitation Waves: An Analytical Approach VN Biktashev, I Idris
- Spontaneous traveling waves in oscillatory systems with cross di#usion V. N. Biktashev
- Using Novel Simplified Models of Excitation for Analytic Description of Initiation
- MATH332: Set 1 Introduction
- MATH201: Problem set 5 solutions to the training set
- Localization of response functions of spiral waves in the FitzHugh-Nagumo system
- MATH332: Problem set 9 Set 2004/03/22 ; Due 2004/03/29
- MATH201: Problem set 11 Set 2009/12/07 ; Due for self-check only
- MATH332 Set 14 2004/11/10 Two Competing Populations
- MATH332: Set 13 Two Competing Populations: Continuous time
- Asymptotic analysis and analytical solutions of a model of cardiac excitation
- Localized sensitivity of spiral waves in the complex GinzburgLandau equation I. V. Biktasheva, Yu. E. Elkin, and V. N. Biktashev
- MATH201: Problem set 5 solutions to the training set
- MATH332: Set 14 Two Competing Populations: Discrete time
- Three dimensional aspects of re-entry in experimental and numerical models of ventricular
- Asymptotics of conduction velocity restitution in models of electrical excitation in the heart
- MATH201: Problem set 10 Set 2009/11/30 ; Due 2009/12/07
- MATH332 Set 9 2003/02/10 Delay in discrete time
- MATH201: Set 8 Systems of First Order Linear ODEs
- On bifurcations of spiral waves in the plane E.V.Nikolaev1;2
- MATH332: Set 9 Models with explicit time delay
- Response Functions of Spiral Wave Solutions of the Complex
- A simplified model of propagation and dissipation of excitation fronts
- MATH332 Set 24 2004/03/29 INFECTIOUS DISEASES
- MATH201: Problem set 5 Set 2010/10/26 ; Due 2010/11/02 14:00
- Phytoplankton blooms and sh recruitment rate: E ects of spatial distribution
- On Feedback Resonant Drift and Interaction with the Boundaries in Circular and Annular Excitable Media ?
- MATH201: Problem set 9 solutions to the training set problems
- MATH332: Set 3 Single species continuous time: qualitative analysis
- NL3451 Vortex dynamics in excitable media 1 NL3451 Vortex dynamics in excitable media
- V.N. Biktashev & A.V. Holden "Re-entrant activity and its control by resonant drift in a two-dimensional model of isotropic homogeneous ventricular tissue" Proc Roy Soc
- MATH332: Problem set 5 Set 2011/03/01 ; Due 2011/03/08
- MATH332 Set 13 2004/11/05 Two Competing Populations
- Chapter 6.2. Resonance and feedback strategies for low-voltage defibrillation. V. N. Biktashev
- MATH201 Set 1 First Order Ordinary Differential Equations. Existence and
- MATH332: Problem set 11 (2011/05/03 2011/05/10 ) --solutions 1. (adopted from 1997) Consider again the same toy model as in home-
- MATH293 November 2003 classtest: solutions 1. (a) Question Find, without using the Laplace transform, the general solution of the differential
- MATH293: Problem set 3 (2004/10/12 2004/10/19 ) --solutions For each of the following non-homogeneous differential equations
- MATH332: Problem set 8 Set 2004/03/15 ; Due 2004/03/22
- MATH332: Problem set 3 Set 2011/02/15 ; Due 2011/02/22
- MATH201: Problem set 7 solutions to the training set problems
- MATH201: Problem set 2 solutions to the training set
- Re-entrant waves and their elimination in a model of mammalian ventricular tissue?
- Conditions for propagation and block of excitation in an asymptotic model of atrial tissue
- Quasisoliton interaction of pursuitevasion waves in a predatorprey system M. A. Tsyganov
- A simplified model of propagation and dissipation of excitation fronts
- Halfsoliton interaction of population taxis waves in predatorprey systems with pursuit and M. A. Tsyganov
- Three dimensional aspects of reentry in experimental and numerical models of ventricular
- Orbital motion of spiral waves in excitable media V. N. Biktashev
- MATH293 Set 3 2004/10/12 Second-order linear ODE
- MATH332: Problem set 8 Set 2011/03/23 ; Due 2011/04/05
- Solitary waves in excitable systems with crossdi#usion
- International Journal of Bifurcation and Chaos, Vol. 8, No. 4 (1998) 677--684 # World Scientific Publishing Company
- Control of scroll wave turbulence using resonant perturbations S. W. Morgan, I. V. Biktasheva, and V. N. Biktashev
- Waves of constant shape and the structure of the \rotors boundary" in excitable media.
- A model for the action of external current onto excitable V.N. Biktashev 1;2 , A.V. Holden 2;\Lambda and H. Zhang 2
- On the Movement of Excitation Wave Breaks ? Yu.E. Elkin a V.N. Biktashev a;b;1 and A.V. Holden b
- Enhanced self-termination of re-entrant arrhythmias as a pharmacological strategy for anti-arrhythmic action.
- MATH332 Set 13 2003/02/24 Two Competing Populations
- MATH332: Problem set 7 Set 2004/11/09 ; Due 2004/11/16
- MATH201: Set 11 Systems of First Order Linear ODEs
- Dissipation of the excitation wavefronts V. N. Biktashev[1]
- MATH332 Addendum to Sets 1617 2003/03/1017 Detailed workout of the "more realistic" predator-prey model.
- Computation of the Drift Velocity of Spiral Waves using Response Functions I.V. Biktasheva and A.J. Foulkes
- Orbital motion of spiral waves in excitable media V. N. Biktashev
- Running tails as codimension two quasi-solitons in excitation taxis waves with negative refractoriness.
- Low energy defibrillation in human cardiac tissue: a simulation Stuart W. Morgan,
- An analytical approach to initiation of propagating fronts I. Idris and V. N. Biktashev
- Asymptotic analysis and analytical solutions of a model of cardiac excitation
- Critical fronts in initiation of excitation waves I. Idris and V. N. Biktashev
- 1. (275). 2. -. (277).
- Asymptotic properties of mathematical models of excitability
- Solitary waves in excitable systems with cross-diffusion
- Wavebreaks and self-termination of spiral waves in a model of human atrial tissue
- Pursuit-evasion predator-prey waves in two spatial dimensions V. N. Biktashev
- Quasi-soliton interaction of pursuit-evasion waves in a predator-prey system M. A. Tsyganov
- Comparison of Asymptotics of Heart and Nerve Excitability Rebecca Suckley and Vadim N. Biktashev
- Resonant drift of spiral waves in the Complex Ginzburg-Landau Equation
- Drift of large-core spiral waves in inhomogeneous excitable media
- Spatio-temporal irregularity in an excitable medium with shear ow
- Physica D 116 (1998) 342354 Deterministic Brownian motion in the hypermeander of spiral waves
- Initiation of Excitation Waves: An Analytical Approach VN Biktashev, I Idris
- Analytically Solvable Asymptotic Model of Atrial Excitability
- Using Novel Simplified Models of Excitation for Analytic Description of Initiation
- Low-Energy Defibrillation Using Resonant Drift Pacing Thesis submitted in accordance with the requirements of
- Initiation Of Excitation Waves Thesis submitted in accordance with the requirements of the
- 03.00.02 () 2000
- MATH201 Set 1 First Order Ordinary Differential Equations. Existence and
- MATH201: Set 2 First Order Ordinary Differential Equations.
- MATH201: Set 3 Second Order Linear Ordinary Differential Equations
- MATH201: Set 7 Second Order Linear ODEs
- MATH201: Set 9 Systems of First Order Linear ODEs
- MATH201: Addendum to Set 11 Systems of First Order Linear ODEs,
- MATH332: Problem set 1 Set 2011/02/01 ; Due 2011/02/08
- MATH201: Problem set 2 Set 2010/10/05 ; Due 2010/10/12 14:00
- MATH201: Problem set 2 answers to the assessed set
- MATH201: Problem set 3 solutions to the training set
- MATH201: Problem set 3 , answers to the assessed set 1. (solution was already distributed)
- MATH201: Problem set 5 , answers to the assessed set 1. (a) (solution was already distributed)
- MATH201: Problem set 6 , answers to the assessed set 1. (solution was already distributed)
- MATH201: Problem set 7 Set 2010/11/09 ; Due 2010/11/16 14:00
- MATH201: Problem set 8 solutions to the training set problems
- MATH201: Problem set 9 Set 2010/11/23 ; Due 2010/12/30 14:00 a.m.
- MATH201: Problem set 9 solutions to the training set problems
- MATH201: Problem set 10 Set 2010/11/30 ; Due 2010/12/07 14:00 a.m.
- MATH201 mock exam Dec 2010 DISCLAIMER: this "mock" paper is intended to indicate the style and overall scope
- MATH332: Set 2 Intraspecific competition
- MATH332: Set 6 Hassell model
- MATH332: Set 7 Logistic map
- MATH332: Set 10 Age structured populations I
- MATH332: Set 11 Age structured populations II
- MATH332: Set 16 Competition: Phase Plane Analysis continued
- MATH332: Set 17 Predator-Prey Interaction
- MATH332: Set 18 Predator-prey more realistically
- MATH332: Set 20 Host-Parasitoid Models
- MATH332: Set 24 Infectious Diseases
- MATH332: Set 25 Infectious diseases continued: the S-I-R-S
- MATH332: Problem set 2 Set 2011/02/08 ; Due 2011/02/15
- MATH332: Problem set 3 (2011/02/15 2011/02/22 ) --solutions Corrected 2011/02/24
- MATH332: Problem set 4 Set 2011/02/22 ; Due 2011/03/01
- MATH332: Problem set 4 (2011/02/22 2011/03/01 ) --solutions 1. Here is a record of a synchronously reproducing population of insects
- MATH332: Problem set 6 Set 2011/03/08 ; Due 2011/03/15
- MATH332: Problem set 6 (2011/03/08 2011/03/15 ) --solutions (adopted from 1997 exam) Recently, when my car broke down on the M62, I discovered
- MATH332: Problem set 7 (2011/03/15 2011/03/22 ) --solutions Corrected 2011/03/31
- MATH332: Problem set 9 (2011/03/29 2011/05/03 ) --solutions Corrected 2011/05/05
- Final report on EPSRC project EP/D074789/1 + EP/D074746/1 I.V. Biktasheva, D. Barkley, V.N. Biktashev
- Mathematical Models Using Differential Differential equations are equations containing derivatives.
- MATH201 Set 8 Eigenvalues, Eigenvectors and Diagonalization of Matrices
- MATH201 Set 9 Systems of First Order Linear Ordinary Differential Equations
- MATH201 Set 11 Systems of First Order Linear Ordinary Differential Equations III
- MATH201: Problem set 2 Set 2009/10/05 ; Due 2009/10/12 10:00 a.m.
- MATH201: Problem set 5 Set 2009/10/19 ; Due 2009/11/02 10:00 a.m.
- MATH201: Problem set 6 solutions to the training set
- MATH201: Problem set 10 solutions to the training set problems
- MATH201 mock exam 2009/10 V. N. Biktashev
- MATH332 Set 3 2003/01/24 Single species continuous time
- MATH332 Set 4 2002/01/27 Spruce Budworm outbreak
- MATH332 Set 7 2003/02/03 Logistic Map
- MATH332 Set 11 2003/02/19 Interaction of Populations
- MATH332 Set 12 2002/02/21 Two Competing Populations
- MATH332 Set 15 2003/03/03 PREDATOR-PREY INTERACTION
- MATH332 Set 16 2003/03/10 PREDATOR-PREY MORE
- MATH332 Set 18 2003/03/17 HOST-PARASITOID MODELS
- MATH332 Set 19 2003/03/19 LYAPUNOV'S STABILITY THEORY
- MATH332 Set 20 2003/03/21 LYAPUNOV THEOREMS
- MATH332 Set 21 (for self-study) POINCARE-BENDIXSON
- MATH332 Set 23 2003/03/31 INFECTIOUS DISEASES
- MATH332: Problem set 2 Set 2003/01/27 ; Due 2003/02/03
- MATH332: Problem set 6 Set 2003/02/24 ; Due 2003/03/03
- MATH332: Problem set 10 Set 2003/03/24 ; Due 2003/03/31
- MATH332: Problem set 11 Set 2003/03/31 ; Due 2003/04/07
- POPULATION DYNAMICS Web: http://www.maths.liv.ac.uk/~vadim/M332
- MATH332 Set 8 2004/02/13 Models with explicit time delay
- MATH332 Set 9 2004/02/16 Delay in discrete time
- MATH332 Set 10 2004/02/20 Age structured populations
- MATH332 Set 11 2004/02/23 Age structured populations cont'd
- MATH332 Set 12 2004/02/24 Interaction of Populations
- MATH332 Set 17 2004/03/08 PREDATOR-PREY INTERACTION
- MATH332 Set 18 2004/03/12 PREDATOR-PREY MORE
- MATH332 Set 20 2004/03/19 HOST-PARASITOID MODELS
- MATH332 Set 23 2004/03/26 POINCARE-BENDIXSON
- MATH332 Set 26 2003/04/26 COMPETITIVE EXCLUSION
- MATH332: Problem set 2 Set 2004/02/02 ; Due 2004/02/09
- MATH332: Problem set 5 Set 2004/02/23 ; Due 2004/03/01
- MATH332: Problem set 7 Set 2004/03/08 ; Due 2004/03/15
- POPULATION DYNAMICS Web: http://www.maths.liv.ac.uk/~vadim/M332
- MATH332 Set 8 2004/10/26 Models with explicit time delay
- MATH332 Set 9 2004/10/27 Delay in discrete time
- MATH332 Set 12 2004/11/03 Interaction of Populations
- MATH332 Set 16 2004/11/16 COMPETITION PHASE PLANE
- MATH332 Set 18 2004/11/24 PREDATOR-PREY MORE
- MATH332 Set 20 2004/12/01 HOST-PARASITOID MODELS
- MATH332 Set 22 2004/12/07 LYAPUNOV THEOREMS
- MATH332: Problem set 1 Set 2004/09/28 ; Due 2004/10/05
- MATH332: Problem set 3 Set 2004/02/09 ; Due 2004/02/16
- Dissipation of the excitation wavefronts V. N. Biktashev[1]
- Phytoplankton blooms and sh recruitment rate V. N. Biktashev 1;2 , J. Brindley 1 and J. W. Horwood 3
- Analytically Solvable Asymptotic Model of Atrial Excitability
- MATH332: Set 12 Interaction of Populations
- MATH201 2010 mock exam: model solutions 1. Question Find the general solution of the differential equation
- MATH201: Set 5 Second Order Linear ODEs
- MATH332 Addendum to Sets 1819 2004/03/1219 Detailed workout of Murray's predator-prey model.
- MATH332 Set 5 2003/01/28 Single species, discrete time
- MATH332 Set 14 2003/02/25 COMPETITION
- MATH332: Problem set 5 Set 2004/11/02 ; Due 2004/11/09
- MATH332: Problem set 3 Set 2003/02/03 ; Due 2003/02/10
- Dissipation of excitation fronts as a mechanism of conduction block in re-entrant waves
- The Asymptotic Structure Of Excitable Systems Of Equations
- A Code for Simulating Spiral Waves in Comoving Frame of Reference
- Alternative Stable Scroll Waves and Conversion of Autowave Turbulence A. J. Foulkes,1
- MATH201 Set 4 The Inhomogeneous Second Order Linear ODE
- MATH332 Set 8 2003/02/07 Models with explicit time delay
- Feedback Control of Resonant Drift as a Tool for Low Voltage Defibrillation
- Localization of response functions of spiral waves in the FitzHughNagumo system
- MATH332 Set 19 2004/11/30 POINCARE-ANDRONOV-HOPF
- MATH201 Set 7 Series Solution Methods
- MATH201: Problem set 6 Set 2009/11/02 ; Due 2009/11/09 10:00 a.m.
- MATH293 Set 3 2003/10/14 Second-order linear ODE
- MATH293 Set 4 2003/10/21 Non-homogeneous eq'ns cont'd
- MATH293 Set 11 2003/12/03 Inverse Laplace Transform
- MATH332: Problem set 11 Set 2004/12/08 ; Due 2004/12/14
- Drift And Meander Of Spiral Waves Thesis submitted in accordance with the requirements of
- MATH332: Problem set 6 Set 2004/01/03 ; Due 2004/03/08
- MATH332: Problem set 2 (2011/02/08 2011/02/15 ) --solutions 1. Consider the logistic equation, a.k.a. Verhulst model
- Non-Tikhonov Asymptotic Properties of Cardiac Excitability V.N. Biktashev and R. Suckley
- Phytoplankton blooms and fish recruitment rate: Effects of spatial distribution
- Dynamics of Bound States of Same-Chirality Spiral Waves Christian Zemlin1
- MATH332: Problem set 4 Set 2003/02/10 ; Due 2003/02/17
- MATH332: Problem set 12 (2011/05/10 for self-assessment ) --solutions Influenza epidemic in an English Boarding School 1978 (data adopted from J.
- MATH332 Addendum to Set 7 2004/02/10 How to divide polynomials
- Feedback Control of Resonant Drift as a Tool for Low Voltage Defibrillation
- Three-dimensional organisation of re-entrant propagation during experimental ventricular brilation
- ENVELOPE EQUATIONS FOR MODULATED NON-CONSERVATIVE
- Characterisation of Patterned Irregularity in Locally Interacting,
- MATH201: Problem set 4 , answers to the assessed set 1. (solution was already distributed)
- Alternative Stable Scroll Waves and Conversion of Autowave Turbulence A. J. Foulkes, 1 D. Barkley, 2 V. N. Biktashev, 3 and I. V. Biktasheva 3
- Dissipation of the excitation front as a mechanism of self-terminating arrhythmias
- Asymptotics of conduction velocity restitution in models of electrical excitation in the heart
- 1 Cubo Matem atica Educacional Vol. 3. MAYO 2001
- Resonant drift of spiral waves in the Complex GinzburgLandau Equation
- MATH332 Set 21 2004/03/22 LYAPUNOV'S STABILITY THEORY
- MATH332: Problem set 8 (2011/03/23 2011/04/05 ) --solutions corrected 2011/04/07
- MATH332 Set 6 2002/01/31 Hassell model
- POPULATION DYNAMICS Web: http://www.maths.liv.ac.uk/~vadim/M332
- Generation and escape of local waves from the boundary of uncoupled cardiac tissue Vadim N.Biktashev*, Ara Arutunyan
- MATH332: Problem set 12 Set 2004/12/14 ; Due for self-assessment
- MATH332 Set 2 2004/01/27 Intraspecific competition
- MATH201: Problem set 6 solutions to the training set
- MATH332: Problem set 3 Set 2004/10/12 ; Due 2004/10/19
- Low energy defibrillation in human cardiac tissue: a simulation Stuart W. Morgan,
- Running tails as codimension two quasisolitons in excitation taxis waves with negative refractoriness.
- On bifurcations of spiral waves in the plane E.V.Nikolaev 1;2 , V.N.Biktashev 1;2 and A.V.Holden 1;\Lambda
- Chapter 6.2. Resonance and feedback strategies for lowvoltage defibrillation. V. N. Biktashev
- The Asymptotic Structure of the Hodgkin-Huxley Equations Rebecca Suckley 1 and Vadim N. Biktashev 1;2;
- V.N. Biktashev & A.V. Holden ``Reentrant activity and its control by resonant drift in a twodimensional model of isotropic homogeneous ventricular tissue'' Proc Roy Soc
- MATH332 Set 15 2004/11/12 COMPETITION
- MATH332: Problem set 7 Set 2011/03/15 ; Due 2011/03/22
- MATH201: Problem set 10 solutions to the training set problems
- International Journal of Bifurcation and Chaos, Vol. 8, No. 4 (1998) 677684 c World Scientific Publishing Company
- MATH332: Problem set 1 Set 2003/01/20 ; Due 2003/01/27
- Computation of the response functions of spiral waves in active media I.V. Biktasheva
- MATH201 Set 5 Boundary Value Problems and Eigenfunctions
- Control of scroll wave turbulence using resonant perturbations S. W. Morgan, I. V. Biktasheva, and V. N. Biktashev
- MATH332: Problem set 8 Set 2004/11/16 ; Due 2004/11/23
- MATH293 Set 4 2004/10/13 Non-homogeneous eq'ns cont'd
- MATH332 Set 25 2004/12/14 INFECTIOUS DISEASES
- MATH332: Problem set 10 Set 2004/03/29 ; Due 2004/04/26
- MATH332 Set 7 2004/02/09 Logistic Map
- Asymptotic properties of mathematical models of excitability
- Deterministic Brownian motion in the hypermeander of spiral waves
- Reentrant waves and their elimination in a model of mammalian ventricular tissue ?
- Reentrant activity and its control
- Comparison of Asymptotics of Heart and Nerve Excitability Rebecca Suckley and Vadim N. Biktashev
- An analytical approach to initiation of propagating fronts I. Idris and V. N. Biktashev
- MATH201: Set 4 Second Order Linear ODEs
- Conditions for propagation and block of excitation in an asymptotic model of atrial tissue
- Soliton-like phenomena in one-dimensional cross-diffusion systems: a predator-prey pursuit and evasion example
- A model for the action of external current onto excitable V.N. Biktashev1 2
- MATH332: Problem set 1 (2011/02/01 2011/02/08 ) --solutions 1. Once the water filter in my fish tank was broken and at the same time it was infected with
- Evolution of spiral and scroll waves of excitation in a mathematical model of ischaemic border zone
- Envelope quasi-solitons in dissipative systems with cross-diffusion V. N. Biktashev
- MATH201: Set 5 Second Order Linear ODEs
- MATH201: Set 10 Systems of First Order Linear ODEs
- MATH201: Set 2 First Order Ordinary Differential Equations.
- MATH201: Set 11 Systems of First-Order Linear ODEs
- MATH201: Set 9 Systems of First Order Linear ODEs
- MATH201: Set 7 Second Order Linear ODEs
- MATH201: Set 3 Second Order Linear Ordinary Differential Equations
- MATH201: Set 4 Second Order Linear ODEs
- MATH201: Set 6 Second-Order Linear ODEs
- MATH201: ORDINARY DIFFERENTIAL EQUATIONS General notes
- MATH332: Set 9 Models with explicit time delay
- MATH332: Set 6 Hassell model
- MATH332: Set 4 Single species continuous time: Spruce Budworm
- MATH332: Set 1 Introduction
- MATH332: Set 10 Age structured populations I
- MATH332: Set 7 Logistic map
- MATH332: Set 3 Single species continuous time: qualitative analysis
- MATH332: Set 8 Models with explicit time delay
- MATH332: Set 2 Intraspecific competition
- MATH332: Set 11 Age structured populations II
- MATH332: Set 12 Interaction of Populations
- MATH332: Set 5 Single species, discrete time
- MATH332: Set 13 Interaction of Populations (continued)
- MATH332: Set 14 Two Competing Populations: Continuous time