Theme 1- MATHEMATICAL AND PHYSICS-CHEMICAL METHODS APPLIED IN BIOPHYSICS

Question 1

What is biophysics useful for?

Answer 1

-Biophysics is used widely and intensively in Medicine.
-Almost all life science research and
development studies involve Biophysics.
-All Medical research, development and treatment approaches involve Biophysics

Question 2

What is Biological Thermodynamics?

Answer 2

A science that explains the nature and general laws of thermodynamic processes occurring in living organisms as nonequilibrium thermodynamic systems that convert the energy of the Sun and food into other types of energy

Question 3

What is the importance of biophysics and mathematical methods of biophysics for medicine

Answer 3

-One aspect of this application is the creation of mathematical models of various disease processes, considering the interactions between the different components of the complex
biological system that underlies the processes inside the human organism.
-These researches hope to increase our understanding of the disease’s onset and how it progresses.
-Secondly, one hopes that the mathematical analysis of the available treatment strategies will enable one to identify one that is optimal in each situation

Question 4

Examples of when doctors might use mathematical methods of biophysics

Answer 4

-Calculating medication dosages
-Interpreting medical research
-Tomography scans and X-rays
-Surgical operations
-Predicting medical outcomes
-Calculating medication dosages

Question 5

Other specifical application of mathematical methods in medicine

Answer 5

-Maths allows us to describe how molecules move in and out of cells, how bacteria shuttle through blood vessels, how drugs get broken down in the body and many other physiological processes.
-Studying the geometry, topology and other physical characteristics of DNA,
proteins and cellular structures have shed light on their functions and on approaches for enhancing or disrupting those functions.
-Math helps medical scientists design their experiments, including clinical trials,
so they result in meaningful data of statistical significance

Question 6

Power operations key ideas

Answer 6

1) Any base number raised to the power of 1 is the base itself
2) Any base number raised to the power of 0 equals 1
3) Powers can be simplified if they are multiplied or divided and have the same base
4) Powers of powers are multiplied
5) A negative power indicates a reciprocal

Question 7

Logarithms

Answer 7

-Used to find an unknown power/exponent
-The general rule is;
N= b^x => logb(N) = x

Question 8

Logarithmical scale of the acidity of solutions

Answer 8

A special scale called pH has been developed to measure acidity and is simply the “negative index” of the above scale

Question 9

Natural logarithm

Answer 9

-The natural logarithm of a number is its logarithm the base of the mathematical constant, e which is an irrational and transcendental number approximately equal to 2.718281828459
-The natural logarithm of x is the power to which e would have to
be raised to equal x.

Question 10

The natural logarithm has the following mathematical properties

Answer 10

In(1) = 0
In(e) = 1
In(xy) = In(x) + In(y) for x>0 and y>0
In(x/y) = In(x) - In(y)
In(x^y) = yInx for x>0