Faculty of Technical Sciences

Subject: Modeling and simulation of biophysical processes (17.BM118D)

Native organizations units: Department of Power, Electronic and Telecommunication Engineering
General information:
 
Category Professional-applicative
Scientific or art field Electronics
Interdisciplinary No
ECTS 5
Educational goal:

Present to the students the modeling and simulation of biophysical processes as an attractive and highly multidisciplinary area of particular importance in biomedical engineering. Students should be familiar with the current models of key biophysical processes, principles of development of biophysical models and techniques of numerical implementation of the model for performing a number of in silico experiments in order to obtain the results of the impact of certain model parameters on the processes and occurrence of the diseases in the human body.

Educational outcome:

Basic theoretical and applied knowledge necessary for work and communication in a multidisciplinary team of engineers, physicists, biologists and doctors. Capability to develop a new or improve the present biophysical models, as well as the implementation of the model using numerical models for performing in silico experiments. The ability of students to analyze the obtained simulation results and make conclusions about the impact of certain parameters on the processes and occurrence of the diseases in the human organism. Training for students to use commercially available software packages for numerical simulations.

Course content:

Importance of modeling and simulation of biophysical processes (advantages and disadvantages). Model classification. Electrical model of cell membrane ion channels. GHK voltage equation. Simplified electrical model of cell membrane for a spherical cell. Electrical model of Na–K pump. Electrical resistance of myelinated and unmyelinated axon. Capacitance of axon. Electrical cable model of axon (model parameters per unit length, model voltage equation, analysis of signal propagation equation, spatial and time constants, velocity of signal propagation). Hodgkin–Huxley model (voltage–dependent conduction of Na and K ion channels, model parameters and Hodgkin–Huxley model equation, analysis of influence of model parameters on signal propagation along a neuron). Fitzhugh–Nagumo model (derivation from the Hodgkin-Huxley model, advantages and disadvantages). Modeling blood flow by analogy of cardiovascular system with electrical circuit (peripheral resistance, compliance and intertance, modeling of heart valves). Windkessel effect. 2–, 3– and 4–element Windkessel models (voltage equations of models, analytical solutions for systolic and diastolic phases, and analysis of influence of individual blood vessel parameters). Electrical model of cardiovascular system. Ventricular LVAD pump model. Basic modeling of respiratory system. Characteristics of tumor growth. Modeling tumor growth according to the exponential model. Structural model of tumor population growth. Logistic and Gompertz tumor growth model. Functional model based on cellular kinetics. Modeling tumor growth in the presence of a therapy (chemotherapy, immunotherapy and anti–angiogenic therapy). Modeling and simulation of radio–frequency and microwave ablation of cancer tissue (3D analysis of therapy effects). Introduction to pharmacokinetic modeling methods. Applications of PBPK model for the prediction of absorption, distribution, metabolism and excretion of antibiotics and cytostatics. PBPK model limitations.

Teaching methods:

Lectures. Computer exercises. Consultations.

Literature:
Authors Title Year Publisher Language
Luca Formaggia, Alfio Quarteroni, Alessandro Veneziani Cardiovascular Mathematics: Modeling and Simulation of the Circulatory System 2009 Springer English
Gregory R. Bock, Jamie A. Goode In Silico Simulation of Biological Processes 2012 John Wiley & Sons English
Christof Koch, Idan Segev Methods in Neuronal Modeling: From Ions to Networks 2000 MIT Press English
Dominik Wodarz. Natalia L. Kolmarova Dynamics of Cancer: Mathematical Foundations of Oncology 2014 World Scientific Publishing English
Knowledge evaluation:
Course activity Pre-examination Obligations Number of points
Computer excersise defence Yes Yes 20.00
Test Yes Yes 15.00
Written part of the exam - tasks and theory No Yes 60.00
Lecture attendance Yes Yes 5.00
Lecturers:

vanr. prof. dr Sekulić Dalibor

Associate Professor

Computational classes

vanr. prof. dr Sekulić Dalibor

Associate Professor

Lectures

Faculty of Technical Sciences

© 2024. Faculty of Technical Sciences.

Contact:

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Phone:  (+381) 21 450 810
(+381) 21 6350 413

Fax : (+381) 21 458 133
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© 2024. Faculty of Technical Sciences.