Editorial board editor-in-chief

Hdt
= 
optimum
, where
 H
– Hamiltonian, 
is in fact the regulating phenomenon function.
The measure of an order in a random process will be such 
a function in our case. Boltzmann’s entropy 
f(x,t)lnf(x,t)
deining 
the most probable existing state, where elementary particles have 
positions in points 
(x,t)
, where 
f(x,t) 
it is
the probability density 
of inding particles in point 
(x,t)
, and 
f (x
, 
t) 
=
 Const e
−
E(xt)
where 
E(x,t) 
is the energy of an elementary particle in that point.
E(x, t) = E
kin
 (x, t) + E
pot
 (x, t)
E
kin
 
=
x°
²
2
– kinetic energy, 
E
pot
– potential energy. 
Let us decide on consideration of independent potentials 
from time (we will discuss the stationary structures).
Developing the entropy in Taylor’s sequence and taking two 
words of sequence, we can get statistical Hamiltonian in distribu-
tion of
 beta H = E (
1 
– E)
. Taking the maximum energy as one 
here, we agree on arbitrary units.
Beta distribution brings closer well-known Gauss’s distribu-
tion for a deinite value of expected random variable here, but 

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34
System biolog
y
Steering of the process of penetration of chemical substances into biosystem structure
it has zero probability of possession of negative energies as 
well as larger then maximum (beyond range (0,1) ). According 
to Author’s opinion, it is proitable from an ideological point of 
view, and therefore for so deinite “Hamiltonian” in the form as 
E(
1 –
 E) 
we will look for the suitable optimum structures, in 
other words, the solutions for a following question:
δ
∫
t
o
E(
1 −
 E)dt
= 0
where 
E(x, t) 
=
x°
²
2 
+ 
φ(x)
.
The formal problems lead to Euler’s equations, well-known 
in the literature. We will mention only this one dimensional equa
-
tion here, to avoid compiled mathematical formulas, as follows:
∂
H d
∂
H
− = 0
∂
x dt
∂
x
°
Now let us come into discussion of the most important ques-
tion from an application point of view, concerning the analysis 
of potentials decisive about steering of the treatment impulse in 
the area of therapy procedure. We will begin from discussing 
the matter of the potential in a sense of Laplace’s notiication: 
Δ
φ
= 0
and
div
φ
= 0
This formula means that there is a lack of sources generating 
the force, because the force (for example: a force of medicine 
inte- raction) is in form as 
F
= − 
 
φ
in every point of a considered 
area of the medicine.
However, we have to steer with an impulse, so let us write 
the potential as a following sum: 
ψ
= 
φ
+
φ
1
where from: 
Δψ
= 
Δφ
1
Let’s mark 
Δφ
1
= 
f (x, t)
where 
f(x,t)
 
is a source of a force 
steering with impulse. Hence, we have to solve an equation: