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This Special Issue includes 12 high-quality articles containing original research findings in the fields of differential and integro-differential models, numerical methods and efficient algorithms for parameter estimation in inverse problems, with applications to biology, biomedicine, land degradation, traffic flows problems, and manufacturing systems.

Research & information: general --- Mathematics & science --- conservation laws --- feedback stabilization --- input-to-state stability --- numerical approximations --- nonlocal velocity --- macroscopic models --- traffic data --- gap analysis --- multi-phase models --- Volterra integral equations --- asymptotic-preserving --- numerical stability --- Cellular Potts model --- cell migration --- nucleus deformation --- microchannel device --- regularization theory --- multivariate stochastic processes --- cross-power spectrum --- magnetoencephalography --- MEG --- functional connectivity --- spectral complexity --- soil organic carbon --- RothC --- non-standard integrators --- Exponential Rosenbrock–Euler --- langevin equation --- Mean Field Games system --- kinetic Fokker–Planck equation --- hypoelliptic operators --- Caputo fractional derivative --- Allee effect --- existence and stability --- Hopf bifurcation --- implicit schemes --- optimal design --- soft tissue mechanics --- mutual information --- biaxial experiment --- inverse problems --- information theory --- LWR model --- follow-the-leader model --- phase transition --- creeping --- seepage --- fundamental diagram --- lane discipline --- networks --- aggregation equation --- relaxation limit --- scalar conservation law --- finite volume scheme --- differential equations --- mathematical biology --- microfluidic chip --- applied mathematics --- numerical methods --- computational mathematics --- differential and integro-differential models

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This Special Issue includes 12 high-quality articles containing original research findings in the fields of differential and integro-differential models, numerical methods and efficient algorithms for parameter estimation in inverse problems, with applications to biology, biomedicine, land degradation, traffic flows problems, and manufacturing systems.

Research & information: general --- Mathematics & science --- conservation laws --- feedback stabilization --- input-to-state stability --- numerical approximations --- nonlocal velocity --- macroscopic models --- traffic data --- gap analysis --- multi-phase models --- Volterra integral equations --- asymptotic-preserving --- numerical stability --- Cellular Potts model --- cell migration --- nucleus deformation --- microchannel device --- regularization theory --- multivariate stochastic processes --- cross-power spectrum --- magnetoencephalography --- MEG --- functional connectivity --- spectral complexity --- soil organic carbon --- RothC --- non-standard integrators --- Exponential Rosenbrock–Euler --- langevin equation --- Mean Field Games system --- kinetic Fokker–Planck equation --- hypoelliptic operators --- Caputo fractional derivative --- Allee effect --- existence and stability --- Hopf bifurcation --- implicit schemes --- optimal design --- soft tissue mechanics --- mutual information --- biaxial experiment --- inverse problems --- information theory --- LWR model --- follow-the-leader model --- phase transition --- creeping --- seepage --- fundamental diagram --- lane discipline --- networks --- aggregation equation --- relaxation limit --- scalar conservation law --- finite volume scheme --- differential equations --- mathematical biology --- microfluidic chip --- applied mathematics --- numerical methods --- computational mathematics --- differential and integro-differential models

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• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Mathematical modelling and computer simulations are playing a crucial role in the solution of the complex problems arising in the field of biomedical sciences and provide a support to clinical and experimental practices in an interdisciplinary framework. Indeed, the development of mathematical models and efficient numerical simulation tools is of key importance when dealing with such applications. Moreover, since the parameters in biomedical models have peculiar scientific interpretations and their values are often unknown, accurate estimation techniques need to be developed for parameter identification against the measured data of observed phenomena. In the light of the new challenges brought by the biomedical applications, computational mathematics paves the way for the validation of the mathematical models and the investigation of control problems. The volume hosts high-quality selected contributions containing original research results as well as comprehensive papers and survey articles including prospective discussion focusing on some topical biomedical problems. It is addressed, but not limited to: research institutes, academia, and pharmaceutical industries.

Mathematics. --- Mathematics --- Applications of Mathematics. --- Computational Mathematics and Numerical Analysis. --- Data processing. --- Math --- Science --- Enginyeria biomèdica --- Simulació (Ciències de la salut) --- Models matemàtics --- Aplicacions industrials

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Mathematical modelling and computer simulations are playing a crucial role in the solution of the complex problems arising in the field of biomedical sciences and provide a support to clinical and experimental practices in an interdisciplinary framework. Indeed, the development of mathematical models and efficient numerical simulation tools is of key importance when dealing with such applications. Moreover, since the parameters in biomedical models have peculiar scientific interpretations and their values are often unknown, accurate estimation techniques need to be developed for parameter identification against the measured data of observed phenomena. In the light of the new challenges brought by the biomedical applications, computational mathematics paves the way for the validation of the mathematical models and the investigation of control problems. The volume hosts high-quality selected contributions containing original research results as well as comprehensive papers and survey articles including prospective discussion focusing on some topical biomedical problems. It is addressed, but not limited to: research institutes, academia, and pharmaceutical industries.

Mathematics --- Computer. Automation --- toegepaste wiskunde --- informatica --- wiskunde --- Mathematics. --- Applications of Mathematics. --- Computational Mathematics and Numerical Analysis. --- Data processing. --- Enginyeria biomèdica --- Simulació (Ciències de la salut) --- Models matemàtics --- Aplicacions industrials