First International workshop

on Differential and Integral Equations with Applications in Biology and Medicine

September 7-10, 2010, Aegean University, Karlovassi, Samos island, Greece




Abstracts of Invited Papers





Panos Z. Anastastiadis Chair, Dept of Cancer Biology, Mayo Clinic Florida

Rho signaling underlies the crosstalk between polarity complexes


Christopher T.H. Baker

Dept. of Mathematics, Univ. of Manchester and Univ. of Chester,

From ordinary to retarded differential equations: A reprise of analytical behavior & numerics, from a computational modelling perspective


Gennady Bocharov

Institute of Numerical Mathematics, Russian Academy of Sciences, Russian Federation

Mathematical models of distributed parameter systems in immunology


Alfredo Bellen

Department of Mathematics and Informatics, University of Trieste

Numerics for State-Dependent Neutral Delay Differential Equations


Neville Ford

Dept. of Mathematics,

Univ. of Chester, England

Mathematical modelling of plant species interactions in a harsh climate


Peter G.L.Leach School of Mathematical Sciences, University of Kwazulu-Natal, and DICSE, University of the Aegean

Application of symmetry and singularity analyses to mathematical models of biological systems


Doron Levy

Dept. of Mathematics and CSCAMM, University of Maryland, College Park, MD, USA

On the dynamics of cancer stem cells and drug resistance



Ezio Venturino

Dept. of Mathematics, University of Torino, Italy

Man's interference in ecosystems: modeling habitat fragmentation for interacting diseased populations


Angélique Stéphanou Laboratoire TIMC-IMAG, CNRS, Faculte de Medecine de Grenoble, France Mathematical modelling of cell motility: Bridging the scale from PDEs to cellular automata Abstract
Anne Skeldon Department of Mathematics, University of Surrey, Guildford, Surrey, UK Data assimilation and dynamics for a model of the carbon cycle of an evergreen forest Abstract
Yuesheng Xu


Department of Mathematics, Syracuse University, USA Integral Equation Models for Image Restoration Abstract


Abstracts of Contributed Papers





Anne Arnold1, Zoran Nikoloski2

1Institute of Biochemistry and Biology, University of Potsdam, Germany

2Max-Planck Institute of Molecular Plant Physiology, Germany

Design and analysis of a reference model of sugar phosphate metabolism


Karl-Ernst Biebler

Department of Biometry and Medical Informatics, University of Greifswald, Germany

ODE model choice in a statistical framework


Jean Clairambault

Bang Project-team, INRIA Paris-Rocquencourt, France

Modelling cell proliferation, circadian rhythm and pharmacokinetics-pharmacodynamics to optimise cancer treatments


Aurelio De Los Reyes V (cancelled) and

Francz Kappel

Cardiovascular mathematical model obtaining a measurable pulsatile output

Alexander Dreval

Department of Endocrinology, Moscow Regional Research Clinical Institute, Russia

ODE in modelling of intravenous glucose tolerance test and diabetes diagnosing

Neville J.Ford, Yubin Yan, Md.Abdul Malique

Numerical methods of oscillatory mixed-type functional differential equations

F.M.Siam, M.Grinfeld

Department of Mathematics, University of Strathclyde, United Kingdom

Modeling the effect of ionizing radiation

M.Hassanpour-ezatti1, Raesi.B2, Zahmati.H2

1Biology Department, Basic Sciences School, Shahed University, Tehran, Iran

2Mathematics Department, Basic Sciences School, Shahed University, Tehran, Iran

Mathematical calculation of eyes geometry on point spread function in human retica

M.Hassanpour-ezatti1, Raesi.B2, Zahmati.H2

1Biology Department, Basic Sciences School, Shahed University, Tehran, Iran

2Mathematics Department, Basic Sciences School, Shahed University, Tehran, Iran

Bifurcation analysis of minimal Conductance-based models for neurons

M.Hassanpour-ezatti1, Raesi.B2, Zahmati.H2

1Biology Department, Basic Sciences School, Shahed University, Tehran, Iran

2Mathematics Department, Basic Sciences School, Shahed University, Tehran, Iran

Synchronization in a general homogeneous network of one-dimensional non spiking neurons Abstract
R.Katani, S.Shahmorad

Faculty of mathematical science, University of Tabriz, Tabriz-Iran

An appropriate implementation of the block by block method for solving nonlinear Volterra integral equations in large intervals Abstract
Simon M. Lenz

Interdisciplinary center for scientific computing (IWR), University of Heidelberg, Germany

Parameter estimation with derivative based methods for DDE models in systems biology Abstract
Alexander Lorz


DAMTP, University of Cambridge, UK

Coupled chemotaxis-fluid models Abstract
Patricia M. Lumb

Department of Mathematics, University of Chester, UK

Forward-backward differential equations: Applications, insight and issues Abstract
Calistus Ngonghala

Department of Mathematics, West Virginia University, USA

Interplay between income and infectious diseases: A deterministic and stochastic perspective Abstract
Hamid R. Noori


Interdisciplinary center for scientific computing, University of Heidelberg

The impact of the glial K+ spatial buffering on the nernst membrane potentials Abstract

Fathalla A.Rihan

Department of Mathematical Sciences, College of Science, United Arab Emirates University, UAE

Delay differential equations with infectious diseases


Simon Rosenfeld

National Cancer Institute, USA

Asymptotic stability of large biochemical networks: Applications to dynamics of gene expression Abstract

Charlotte Sonck

Department of Applied Mathematics and Computer Science, Ghent University, Belgium

Bifurcations in slow-fast models for the budding yeast cell cycle

Bernát Slezák

Departement of Mathematics, University of Pannonia, Hungary

An application of abstract functional differential equations Abstract
A. Tari

Department of Mathematics, Shahed University, Iran

Solving the model describing biological species living together by differential transform method Abstract
A.Tari, S.Shahmorad A method for numerical solution of the two dimensional linear Volterra intego-differential equations Abstract
J.M.Villalba(a), E.Arribas(b), M.Garcia-Moreno(c), M.L.Amo(c), F.Garcia-Sevilla(d), F.Garcia-Molina(e), J.L.Muňoz-Muňoz(e), A.Nájera(a) and R.Varon(c)

(a)Medical Sciencie Department, Faculty of Medicine, University of Castilla-La Mancha, Albacete, Spain

(b)Applied Physics Department, Faculty of Computer Science Engineering, UCLM, Albacete, Spain

(c)Departamento de Quimica-Fisica, Escuela de Ingenieros Industriales, UCLM, Albacete, Spain

(d)Departamento de Ingenieria Electrónica, Electrica, Automática y Comunicaciones, UCLM, Albacete, Spain

(e)Departamento Bioquimica y Biologia Molecular A, Universidad de Murcia, Murcia, Spain

Application to the characterization of unstable enzyme systems of a method based on the statistical moments Abstract
Romain Yvinec Institut Camille Jordan, Universite Claude Bernard Lyon 1 Diffusion and bursting in gene expression Abstract







E.A. Bakare

Department of Computer and Information Science, Lead City University, Ibadan, Nigeria

Department of Pure and Applied Mathematics, LAUTECH, Ogbomoscho, Nigeria

On the analytical solution for the multispecies prey-predator model


Karina Garcia-Martinez and Kalet Leon

Centro de Inmunologia Molecular, Habana, Cuba

Modeling the role of IL-2 in the interplay between CD4 + helper and regulatory T cells: Assessing general dynamical properties

Iordanis Karaoustas and Athena Makroglou Department of Mathematics, University of Portsmouth, UK

Computational treatment of Volterra Integro-differential equations applying in diabetes modeling

Rauf Ahmed Shams Malick, Muhammad Shahzad, Khubaib Ahmed Quershi,


CS & Eng Deparment, Bahria University, Karachi Pakistan,


Department of Computer Science, Usman Institute Karachi Pakistan,


Hamdard University of Chemistry, University of Karachi, Pakistan,


Department of Chemistry, Urdu University Karachi, Pakistan

Edge-Betweenness based Clustering in Directed Gene Regulatory Network

Byul Nim Kim and Yongkuk Kim Department of Mathematics, Kyungpook National University, Korea

Influenza vaccine allocation strategies

Robabeh Sahandi Torogh Department of Mathematics, Islamic Azad University of Varamin Branch, Iran

Positive solutions for Quasi-linear boundary value problems with p-Laplacian operator