Organizers: Stephen Anco, Brock University, sanco at brocku dot ca; Maria Rosa, University of Cadiz, maria dot rosa at uca dot es; Salvador Chulian, University of Cadiz, salvador dot chulian at uca dot es; Maria Luz Gandarias, University of Cadiz, marialuz dot gandarias at uca dot es
Description
Many real world problems which arise in various scientific fields such as economics, biology, physics, fluid dynamics, and engineering are modelled by physically and mathematically interesting nonlinear differential partial equations (PDEs). It has been only recently that this methodology, beyond the classical statistical studies, is starting to be used in medicine and specifically in cancer research. Many concepts of potential relevance in cancer have been proposed coming from mathematical approaches ranging from evolutionary dynamics concepts to adaptive and metronomic therapies, among others. For studying exact properties of such equations, symmetries and conservation laws are powerful tools that can provide explicit solutions, conserved quantities, transformations to simpler equations, tests of numerical schemes, and more. The aim of this special session will be to report on recent developments in mathematical oncology and applications of mathematical models arising, symmetry analysis, conservation law analysis and exact solutions with applications to nonlinear PDEs of physical and medical interest. High-quality presentations that contain original research results are encouraged. The organizers invite to search for exact solutions of nonlinear models and to submit original work in mathematical models in cancer obtained from development, analysis, and simulation of mathematical models based on ordinary differential equations, dynamical systems, partial differential equations and others.