Lectures and seminars: 1 Introduction to biocybernetics Cells and cell regulation properties of living matter, the basic substance of living matter, functional organization cells, genetic information in the cell, cellular regulation and mathematical models, regulation at the level of enzymes, regulation of synthesis enzymes models repression of enzyme synthesis 2 Modeling biological systems Mathematical, deterministic and stochastic models of biological systems, modeling and simulation methodology biological systems, the process of creating a model 3 Nonlinear Dynamical Systems The mathematical description , analysis in phase space, analytical and numerical methods, phase trajectory, stability, chaotic behavior, catastrophic behavior. 4 Chemical Kinetics Basic concepts, mathematical models of simple reactions, autocatalytic reactions, enzyme kinetics, and oscillatory wave phenomena in chemical systems. 5 Measurement of non-electrical quantities on living tissue RT, CT, NMR, PET, ultrasound, thermography. Methods of treatment outcomes, measurement and digital signal processing , membrane potentials, EEG , EKG, EMG, diagnosis of abnormalities. 6 Population dynamics Models of single communities, continuous models of the same population impact on the population density and management population density, discrete models of the same population, discrete models of population age structure, growth and cultivation microorganisms, microbial growth models, continuous model of predator -prey 7 Pharmacokinetics Compartmental modeling, Multicompartmental analysis, models of drug penetration biological membranes, linear pharmacokinetic models , kinetics of distribution of drugs after an intravenous injection and infusion, nonlinear pharmacokinetic models 8 Neurokybernetika Transmission of signals in neurons, mathematical models of neurons, neuron deterministic models, stochastic models neuron 9 Model of respiratory regulation Physiological introduction, description of the model , the pulmonary compartment, brain compartment, the compartment other tissues, a description of segments of blood circulation, blood flow, a physiological regulator, overall diagram of the model 10 Pulse model bloodstream Physiological introduction, description of the model, the basic concepts, basic equations for the model description pulsation of heart, description flap, a description of the flow through the arteries, veins description, overall schema model 11 Model dependence of heart rate on physical activity Physiological introduction, description of model evaluation results 12 Model glycemic control and regulation of gastric acidity Physiological introduction, description of model evaluation results 13 Model renal function in stabilizing blood pressure Physiological introduction, description of model evaluation results. 14 Model isometric contraction of skeletal muscle. Physiological introduction, description of model evaluation results
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Bronzino, J. D. The Biomedical Engineering Handbook. Boca Raton: CRC Press, 2006. ISBN 80-8493-2124-7.
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Eck, V., Razím, M. Biokybernetika. Praha: ČVUT, 1996. ISBN 80-01-01445-2.
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Holčík, J., Fojt, O. Modelování biologických systémů (Vybrané kapitoly). Brno: ČVUT, 2001. ISBN 80-214-2023-5.
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Pazourek J. Simulace biologických systémů. Praha, Grada, 1992.
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Svatoš, J. Biologické signály. Geneze, analýza a zpracování, skripta. ČVUT, Praha, 1998.
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