The purpose of discipline is obtaining by students knowledge about the basic physical and physicochemical patterns of functioning of biological objects, functions of living organisms, mechanisms for obtaining information about the state of the internal and external environment, characteristics of medical and biological parameters that determine the state of the organism and its adaptation to changes in external and internal environment.

The task of the discipline is to study by students application of physical and biophysical methods of research of a condition of biological objects, diagnostics of a condition and its management at use of power, material and information influences.

Higher Mathematics

degree project

Topic 1. Introduction to Biophysics.
Topic 2. Unity of principles of living organisms structure and functioning.
Topic 3. Biophysical bases of interaction of physical fields with bioobjects.
Topic 4. Thermodynamic fundamentals of life processes.
Topic 5. Kinetics of biological processes.
Topic 6. Fundamentals of molecular biophysics.
Topic 7. Membranology.
Topic 8. Bioelectric phenomena.
Topic 9. Biophysics of vision.
Topic 10. Biophysics of hearing.
Topic 11. Reception of smell and taste. Skin analyzer.
Topic 12. Biophysics of blood circulation.
Topic 13. Biophysics of respiration.

1. Simulating chemical reactions.
2. Absorbed Radiation (SAR) in the Human Brain
3. Heat Transfer
4. Thermodynamic properties of water and steam
5. Chemical kinetics
6. Desalination in a Cell
7. Filtering

1. Methods of biophysical research.
2. Unity of chemical bonds. Unity of cell construction.
3. Ultrasound and its biological action. Interaction of ionizing radiation with biological objects.
4. Laws of thermodynamics of biological systems.
5. The effect of temperature on the rate of biochemical reaction. Influence of catalysts on reaction rate. Physicochemical mechanisms of enzymatic catalysis.
6. Molecular composition of living systems.
7. Cell as a structural and functional unit of a living organism. The only principles of cell construction. Cell membranes, their structure. Types of biological membranes. Membrane transport of substances. Diffusion and diffusion equations.
8. Electrical phenomena in living systems. Bioelectric potentials. Electrocardiography. Electrostatics. Direct current. Electromagnetic induction. Alternating current. Electromagnetic oscillations and waves.
9. The eye as an optical system. Eye construction. The course of rays in the optical system of the eye. Construction of the retina, photoreceptor system of the eye. Image formation on the retina. Three-component theory of color vision.
10. The ear as a speaker system. Sound perception. Vestibular apparatus, its structure and functions.
11. Taste analyzer. Taste adaptation. Chemical construction of substances and their taste. Skin receptors.
12. General principles of hydrodynamics. Pumping function of the heart. Cardiac output and stroke volume.
13. Schematic model of the respiratory system. Physics of gas exchange. Breathing work. Pulmonary ventilation.
14. Cell as a structural and functional unit of a living organism. The only principles of cell construction. Cell membranes, their structure. Types of biological membranes. Membrane transport of substances. Diffusion and diffusion equations.
15. Electrical phenomena in living systems. Bioelectric potentials. Electrocardiography. Electrostatics. Direct current. Electromagnetic induction. Alternating current. Electromagnetic oscillations and waves.
16. The eye as an optical system. Building an eye. The course of rays in the optical system of the eye. Construction of the retina, photoreceptor system of the eye. Image formation on the retina. Three-component theory of color vision.

17. The ear as a speaker system. Sound perception. Vestibular apparatus, its structure and functions.
18. Taste analyzer. Taste adaptation. Chemical construction of substances and their taste. Skin receptors.

1. Campbell, Gaylon S., and John Norman. An introduction to environmental biophysics. Springer Science & Business Media, 2012.
2. Hoppe, Walter, et al., eds. Biophysics. Springer Science & Business Media, 2012.
3. Alpen, Edward L. Radiation biophysics. Academic press, 1997.
4. Bialek, William. Biophysics: searching for principles. Princeton University Press, 2012.
5. Serdyuk, Igor N., et al. Methods in molecular biophysics. Cambridge University Press, 2017.
6. Becker, Oren M., et al., eds. Computational biochemistry and biophysics. Crc Press, 2001.
7. Jackson, Meyer B. Molecular and cellular biophysics. Cambridge University Press, 2006.
8. Rubin, Andrew, and Galina Yurevna Riznichenko. Mathematical biophysics. Vol. 15. New York: Springer, 2014.
9. Koch, Christof. Biophysics of computation: information processing in single neurons. Oxford university press, 2004.
10. Bronzino, Joseph D. Biomedical Engineering Handbook 2. Vol. 2. Springer Science & Business Media, 2000.

The policy of the subject is determined by the system of requirements that the teacher makes to the student when studying the subject and is based on the principles of academic virtue.
Requirements relate to attending classes (inadmissibility of absences, delays, etc.); rules of conduct in the classroom (active participation, fulfillment of the required minimum of educational work, etc.) motivation and penalties (for which points can be awarded or deducted, etc.).
The policy of the academic subject is built taking into account the norms of Ukrainian legislation regarding academic virtue, the Statute, the provisions of TNTU:
1 Regulations on the organization of the educational process at the Ternopil National Technical University named after Ivan Pulyui - order No. 4 / 7-340 of 05/21/2015 as amended on 06/25/2019 - order No. 4 / 7-622 of 06/27/2019 and of 04/14/2020 - order No. 4 / 7-243 dated 04/15/2020
2 Regulations on the individual curriculum of a student of Ternopil National Technical University named after Ivan Puluj (new edition) - order No. 4 / 7-669 of 09/25/2020
3 Regulations on academic mobility of participants in the educational process of Ternopil National Technical University named after Ivan Puluj
4 Regulations on the assessment of applicants for higher education of the Ternopil National Technical University named after Ivan Puluj (new edition) - order No. 4 / 7-670 of 09/25/2020
5 Provisions on academic mobility of students of TNTU named after I. Puluy - order No. 4 / 7-454 of 16.07.2013
6 Regulations on the settlement of conflict situations in the Ternopil National Technical University named after Ivan Puluj - order No. 4 / 7-164 of 03/01/2021
7 Regulations on the final semester control of the learning outcomes of students of the Ternopil National Technical University named after Ivan Puluj - order No. 4 / 7-122 of February 17, 2020
8 Temporary procedure for semester control and certification of applicants for higher education of Ternopil National Technical University named after Ivan Puluj - order No. 4 / 7-350 of 05/25/2020
9 Regulations on the prevention of academic plagiarism at the Ternopil National Technical University named after Ivan Puluj - order No. 4 / 7-964 dated 01.11.2019 as amended on 19.12.2019 order No. 4 / 7-114 dated 12.02.2020, as amended on 26.01.2021 - order No. 4 / 7-72 dated 02.02.2021
Regulations on the academic virtue of the participants in the educational process of the Ternopil National Technical University named after Ivan Puluj - order No. 4 / 7-969 dated 01.11.2019
10 Charter of Ternopil National Technical University. I. Puluja (new edition) - order of the Ministry of Education and Science No. 248 of February 25, 2019

1 Objectives of the course are:
2 Standardized Systems of Measurement agreed to in 1960 by an international committee is:
3 What Systems of Measurements exist at present time?
4 Length defined in terms of a meter:
5 Mass defined in terms of kilogram
6 The International Bureau of Weights and Measures is situated in:
7 Time is:
8 The oscillation of radiation from a cesium atom used for:
9 Time most precisely can be measured by:
10 What is prefixe «peta» (P) mean:
11 What is prefixe «giga» (G) mean:
12 What is prefixe «mega» (M) mean:
13 What is prefixe «kilo» (K) mean:
14 What is prefixe «milli» (m) mean:
15 What is prefixe «micro» (µ) mean:
16 What is prefixe «nano» (n) mean:
17 Coordinate Systems:
18 Coordinate system (frame) consists of (multiple answer):
19 The origin point is:
20 How our natural world can be represented in terms of geometry?
21 How surface of our Planet can be represented in terms of geometry?
22 What Types of Coordinate Systems exist? (multiple answer)
23 Cartesian coordinate system also called:
24 In Cartesian coordinate system with x- and y- axes points are labeled as:
25 Two classes of membran proteins: (multiple answer)
26 Cell is:
27 Cell transport can be:
28 The Na-K pump is :
29 Neurons consist of:
30 axons length is:
31 ECG is:
32 ECG is:
33 sinus node:
34 Flow of fluid in a cylindrical tube may be:
35 Laminar flow is:
36 In laminar flow the pressure drop is:
37 What does Matlab stand for?
38 What symbol precedes all comments in Matlab?
39 Which of the following is not a pre-defined variable in Matlab.
40 This Matlab command clears all data and variables stored in memory:
41 Characters in Matlab are represented in their value in memory.
42 Which is these is not an aspect of a for/while loop:
43 To better manage memory and prevent unnecessary memory allocations, Matlab uses:
44 To print a newline in a fprintf statement, you must use the following escape character:
45 In Matlab, this keyword immediately moves to the next iteration of the loop:
46 Which of the following will correctly define x, y, and z as symbols?
47 Which of these is the way to access the first element in a vector named v (assuming there is at least one element in the vector)?
48 Which of the following is used to see if two elements are equal in MATLAB?
49 What is the value of ans that is printed when the following code is run: isnumeric(32)
50 If I want to save a formatted string to memory, but don’t want to print it out, which command should I use?
51 To add a comment to the mfile, the MATLAB command is
52 When used in the fprintf command, the %g is used as the
53 When used in the fprintf command, the \n is used to
54 To display 'Question' in the command window, the correct command is
55 The clc command is used to
56 The num2str command
57 The output of the last line is: aa=2; as=num2str(aa); cat=['cat' as]
58 To join one or more strings into a single string is known as
59 The output of: cat=['cat&' 'dog']
60 How can we smoothen the graph: t=0:10:100; plot(sin (t),cos (t)); into a circle?
61 Which command gives a title to the graph plotted by MATLAB?
62 Which command enables a title for the x-axis?
63 Which command enables a title for the y-axis?
64 How can several graphs for the same function be plotted on the same window?
65 What is the output of the following command? meshgrid[x,y]
66 What is the output of the following code? t=0:0.001*pi:pi/2; plot(t,sin(t),*);
67 What is the slope of the sawtooth waveform generated by the sawtooth command?
68 What is the period of the sawtooth() waveform which is generated by the sawtooth() command?
69 The command used to generate an array of arrows is
70 What is the output of the following code? t=0:.001*pi:2*pi; plot(cos(t),sin(t));
71 The period of sinusoidal curves can be changed in MATLAB.
72 The command to draw the nature of a function over a default fundamental period is
73 In the following code, what is the fundamental frequency of the sawtooth command? f=1/50; sawtooth(2*pi*1/f*t)
74 The limits of the axes drawn are only specified in the command used to plot the graph itself.
75 What is the default increment value in a for-loop?
76 What is the output of the following code? for i=1:4 for j=1:4 a=5;a=a+5; end end
77 What is the output of the following code? for i=1:5 for j=1:6 a(i,j)=input(); end end
78 What is the size of i after the following code is run in MATLAB? for i=5:1 i=i-2; end
79 A break statement will leave the outer loop.
80 How many times will the following loop run? for i=1:5 if(i<3) break
81 What is the nature of the following code? j=0;i=1; while(j>5) for i=1:8 j=j+i; end end
82 A for-loop can have multiple index values.
83 There can be multiple decision variables for while loop.
84 What will be the output for the following code? k=0;i=0; while(k<1 && i<1) k=k+1; i=i+1;i=i-k; end
85 How do we break from an infinite loop without keeping a break statement within the loop?
86 What will the following code do? j=0;i=5; while(j<0) j=j-1; i=i+5;j=i; end
87 What is the nature of storage of anything in MATLAB?
88 What is the nature of the following variable, in MATLAB? A=[1 , ‘Poland’, ‘Nail polish’,’Hit’,’Ler’]
89 What is the starting index of an array in MATLAB?
90 All data types are converted to ____ before mathematical operations.
91 What is the return type of angles in MATLAB?
92 To represent only two digits after the decimal point, the format we use is ______
93 How do we change the nature of the display of the numerical answer?
94 Strings are stored in ____ variables.
95 What will be the output of the following code? ilaplace(1/syms p^2)
96 What is the output of the following code? format bank sym(sqrt(3))
97 Which command is suitable to change the axes of the graph plotted?
98 What is the output of the following code? ezplot(x^2)
99 Which command can be used to generate multiple graphs in the same window?
100 Inline functions can be plotted by the _________ command.
101 Which toolbox provides the plot command?
102 A power pattern for an antenna is a __________
103 The general graph of f(a,b)=0 is plotted by ______
104 What is the period of square wave generated by the square() command?
105 What is the output of the following code? plot(linspace[0,3*pi],square[linspace[0,3*pi]]);
106 In a 2-d Plot, which command will make the axes of the graph same?
107 What is the output of the following code? title(‘x^2+y^2=r^2’)
108 What is the output of the following code? t=linspace(0,3*pi);p=sin(t);y=cos(t);plot(t,p,t,q);
109 What is the default range used by the fplot command?