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Theoretical biology & medical modelling, 2014

A variety of topics are reviewed in the area of mathematical and computational modeling in biology, covering the range of scales from populations of organisms to electrons in atoms. The use of maximum entropy as an inference tool in the fields of biology and drug discovery is discussed. Mathematical and computational methods and models in the areas of epidemiology, cell physiology and cancer are surveyed. The technique of molecular dynamics is covered, with special attention to force fields for protein simulations and methods for the calculation of solvation free energies. The utility of quantum mechanical methods in biophysical and biochemical modeling is explored. The field of computational enzymology is examined.

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The present conference opens the 5 year program on quantum bio{information and computer: QBIC. This is an ambitious program whose goal is to put the mathematics and the physics of quantum mechanics, the recent developments of quantum information and quantum computer, the powerful tools of white noise analysis and classical probability to the service of biology.

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• Cancer is an open complex dynamic and self-organizing system. • A thermodynamic theoretical approach was introduced to study cancer. • The numerical evaluation of this approach is obtained. • The results agree with the experimental data. a b s t r a c t The chemical–physical analysis of the DNA have pointed out the connections between forces, thermodynamics and kinetics. The entropy generation approach has been suggested as a thermodynamic approach to evaluate the accessible states for cancer systems, in relation to their thermodynamic characteristic quantities. Cancer can be described as an open complex dynamic and self-organizing system. The stationary states of tumour systems are analyzed by a thermodynamic approach by using the entropy generation. The aim of this paper is to improve the thermodynamic approach to cell systems, based on the entropy generation. The results obtained consist of the theoretical analysis of the lifetimes of the processes which occur in cells and the numerical evaluation of the theoretical model proposed. Some considerations on the interactions between external fields and cell systems are developed. A possible new anticancer therapy based on the entropy generation is proposed .

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2017

Mathematical modelling of life science problems Prof. Dr. Messoud Efendiyev, Institute of Computational Biology, Helmholtz Zentrum München, Deutsches Forschungszentrum für Gesundheit und Umwelt (GmbH), Ingolstädter Landstr. 1, 85764 Neuherberg Abstract: In this talk I will discuss several spatio-temporal mathematical models arising in the modeling of life science problems. The main feature of these realistic life science models is based on the fact that their governing equations are characterized by highly-nonlinear density-dependent reaction-diffusion-transport systems comprising both porous media and singular diffusion type degeneracy as well as ODE-PDE type coupling. These kind of equations arise in particular, in the modelling of antibiotic disinfection of biofilms, biofilm growth in porous media as well as mitochondria swelling scenarios in vitro, in vivo. Well-posedness, longtime dynamics of solutions in terms of global attractors, and asymptotics of their Kolmogorov entropy w...

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• The entropy generation describes the irreversibility of the open systems. • Entropy generation is introduced in the analysis of cancer growth. • Cancer growth depends on thermodynamic quantities. • Thermalisation is proven to be a future engineering anticancer therapy. a b s t r a c t Cells can be regarded as engines that execute a series of chemical reactions. A malignant cell, that is, a cancerous cell, can be described as an open complex dynamic and self-organising system. The entropy generation approach has been used to evaluate the stationary states for cells in relation to the global results of the cell biophysical and biochemical processes. Then, an entropy generation approach can been used to evaluate malignant behaviour in terms of thermal, chemical and transport processes. A numerical evaluation of the mean value of the entropy generation for cancer is developed. A possible therapy against cancer has been suggested by using molecular thermalisation.

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Revista de Psicología Educativa, 2009

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Os presentes do ensino de História: (re)construção em novas bases, 2023

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Üsküdar Üniversitesi Tasavvuf Araştırmaları Enstitüsü Dergisi, 2022

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