This book constitutes an up-to-date account of principles, methods, and tools for mathematical and statistical modelling in a wide range of research fields, including medicine, health sciences, biology, environmental science, engineering, physics, chemistry, computation, finance, economics, and social sciences. It presents original solutions to real-world problems, emphasizes the coordinated development of theories and applications, and promotes interdisciplinary collaboration among mathematicians, statisticians, and researchers in other disciplines.
Based on a highly successful meeting, the International Conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2019, held from August 18 to 23, 2019, on the main campus of Wilfrid Laurier University, Waterloo, Canada, the contributions are the results of submissions from the conference participants. They provide readers with a broader view of the methods, ideas and tools used in mathematical, statistical and computational sciences.
S. M. Dastjerdi, A. HormoziNejad, K. Gharali and J. Nathwani,
Numerical investigation of VAWT airfoil shapes on power extraction and
self-starting purposes.- O. Abu and I. I. Ayogu, An Optimal Control Strategy
for a Malaria Model.- L. Feng and X. Wang, Automate Obstructive Sleep Apnea
Diagnosis Using Convolutional Neural Networks.- M. Rezaeian, M. Soltani and
F. M. Kashkooli, On the modeling of drug delivery to solid tumors;
computational viewpoint.- A. F. Ivanov and Z. A. Dzalilov, Oscillations and
Periodic Solutions in a Two-Dimensional Differential Delay Model.- K. R.
Green and R. J. Spiteri, Solving cardiac bidomain problems with B-spline
adaptive collocation.- A. Sowa, Toral diffeomorphisms induce quantum
superoperators via TAQS.- N. Mudalige, BOLD.R: A software package to
interface with BOLD through R.- E. I. Verriest, Properties of the Zeros of
the Scale-Delay Equation and Its Time-Variant ODE Realization .- M.
Ashrafizaadeh, A. Ghavaminia, Development of a lattice Boltzmann model for
the solution of partial differential equations, A performance comparison
study with that of the finite difference method.- M. Ashrafizaadeh, F.
Gharibi and S. M. Khatoonabadi, An extended pseudo potential multiphase
lattice Boltzmann model with variable viscosity ratio.- M. Ahmed and S. A.
Campbell, Effect of genetic defects in a cortical circuit model associated
with childhood absence epilepsy.- P. C. Jentsch and C. L. Nehaniv, Exploring
Tetris as a Transformation Semigroup.- W. M. Abdullah, S. Hossain and M. A.
Khan, Covering Large Complex Networks by Cliques - A Sparse Matrix Approach.-
T. Migot and Monica-G. Cojocaru, Revisiting Path-Following to Solve the
Generalized Nash Equilibrium Problem.- H. Shaheen, R. Melnik and S.
Singh, Analysis of Cortical Spreading Depression in Brian with Multiscale
Mathematical Models.- M. Syed Usama and N. A. Malik, A Comparison of
Turbulence Generated by 3DS Sparse Grids With Different Blockage Ratios and
Different Co-Frame Arrangements.- R. Fallahpour and R. Melnik, Numerical
Analysis of Nanowire Resonators for Ultra-High Resolution Mass Sensing in
Biomedical Applications.- I. Farahbakhsh and C. L. Nehaniv, Spatial Iterated
Prisoners Dilemma as a Transformation Semigroup.- L. Graham, M. Demers,
Applying Neural Networks to a Fractal Inverse Problem.- D. St Jean, H. Kunze
and D. Gillis.- Evaluating a logistic k-mer based model for classifying CO1
sequences of C. clupeaformis.- A. Egri-Nagy and C. L. Nehaniv, A Bestiary of
Transformation Semigroups for the Holonomy Decomposition.- R. Xu and R. N.
Makarov, High-Frequency Statistical Modelling for Jump-Diffusion Multi-Asset
Price Processes with a Systemic Component.- M. M. Mukhopadhyay and R. N.
Makarov, Calibration and Analysis of Structural Credit Risk Models with
Occupation Time.- N. Mattia Marazzi, V. H. Huxley, R. Sacco and G. Guidoboni,
Quantitative study of the coupling among cardiovascular system, lymphatic
system and interstitial space.