Gene expression is the process by which information from a gene is used in the synthesis of a functional gene product that enables it to produce end products, protein or non-coding RNA, and ultimately affect a phenotype, as the final effect. These products are often proteins, but in non-protein-coding genes such as transfer RNA (tRNA) and small nuclear RNA (snRNA), the product is a functional non-coding RNA. Gene expression is summarized in the central dogma of molecular biology first formulated by Francis Crick in 1958, further developed in his 1970 article, and expanded by the subsequent discoveries of reverse transcription and RNA replication.The process of gene expression is used by all known life—eukaryotes (including multicellular organisms), prokaryotes (bacteria and archaea), and utilized by viruses—to generate the macromolecular machinery for life.
In genetics, gene expression is the most fundamental level at which the genotype gives rise to the phenotype, i.e. observable trait. The genetic information stored in DNA represents the genotype, whereas the phenotype results from the "interpretation" of that information. Such phenotypes are often expressed by the synthesis of proteins that control the organism's structure and development, or that act as enzymes catalyzing specific metabolic pathways.
All steps in the gene expression process may be modulated (regulated), including the transcription, RNA splicing, translation, and post-translational modification of a protein. Regulation of gene expression gives control over the timing, location, and amount of a given gene product (protein or ncRNA) present in a cell and can have a profound effect on the cellular structure and function. Regulation of gene expression is the basis for cellular differentiation, development, morphogenesis and the versatility and adaptability of any organism. Gene regulation may therefore serve as a substrate for evolutionary change.
I have been trying to do this problem for a long time, and still can not do it. I know the answer is sin2x, but I have no idea how to do it:
write expression as sine, cosine, or tangent of an angle
sin3xcosx - cos3xsinx
THANKS!
-ve sign in expression of "induced emf"
What is the concept behind putting negative sign in:
e=-[rate of change of flux]
Which direction does it signify??
How does direction affect the equation?
How and where can we use negative sign in other expressions of induced emf??
Homework Statement
Find Lim [ 1/h*ln(3+h)/(3)] by interpreting the expression as an appropriate derivative.
h→0
Homework Equations
I am confused on how to solve this problem for a review packet for Calc BC. I seem to have forgotten how to solve this problem and...
There are two blocks of equal mass M that hang from a massless, frictionless pulley. There is a small square block of mass m sitting on top of one of the blocks. When the block is released, it accelerates downward for a distance H until the block of mass m sitting on tip gets caught by a ring...
Homework Statement
What mechanical parameter has a unit corresponding to expression N2 sec3/kgm ?
Homework Equations
a.impulse b.time c.velocity d.energy e.force
The Attempt at a Solution
i need your help. please take a look this.
thanks in advance.
Hi,
Energy density of the ith annular section of a Gaussian pulse is written as
F(r_i, r_i+1)=2*totalEnergy/[(r_i+1^2-r_i^2)*w^2]*integral(r*exp(-r^2/w^2),from r_i to r_i+1)
where r spans from r=0 to r=r_n (theoretically infinity) in n steps, w is the waist size of the beam.
This...
See attached file:
I would like to show theoretically that the first double spring system is equivalent to the second system with only one spring keff. Then I want to derive an expression for keff in terms of k1 and k2.
I think this system is in series and therefore keff =1/k1 +1/k2
but...
Dear All,
I am implementing the scattering of dielectric sphere under electromagnetic plane wave. The expression of the field contain \frac{P_n^1(\cos\theta)}{\sin\theta} and\sin\theta P_n^1'(\cos\theta), where the derivative is with respect to the argument.
These two terms are giving me...
I have been stumped by a simplification problem - well, I can solve it, but I'm not sure how to do it axiomatically!
The expression is A(B+C)+B'D+C'D'
I can see that the (B+C) is redundant in the first term - if A is true, the whole is true regardless of (B+C)'s value. So it reduces to...
I did a problem in class today that evaluated f(t)=e^{At} for A_{2,2}=\begin{bmatrix}2&1 \\-1&4 \end{bmatrix} to a matrix form.
The answer I got was:
f(t)=\begin{bmatrix}e^{3t}-te^{3t}&te^{3t} \\-te^{3t}&e^{3t}+te^{3t} \end{bmatrix}
Factoring we have:
f(t)=e^{3t}\begin{bmatrix}1-t&t...
I already dereived the following expressions for the Van der Waals gas:
molar energy:
U=3RT - \frac{aP}{RT}
and the expression for the PV, where V is the molar volume:
PV= RT +(b - \frac {a}{RT})P
Using these and the central equation,
TdS = dU + PdV
i am to dereive an expression for dS...
Homework Statement
I'm trying to derive an equation which should look like this in the end:
%loss in Kinetic energy= M/m+M*100%, I'm just not sure how to substitute everything, and cancel things out to get the expression. Can someone show me the steps?
Homework Equations
mVi=(M+m)Vf...
Homework Statement
i have for example, questions like f(x)=\frac{1}{x^2-4} and f(x)=\frac{1}{\sqrt{4-x^2}}Homework Equations
\frac{1}{x}=x^{-1}
Derivative of a constant = 0The Attempt at a Solution
So if I rewrite
f(x)=\frac{1}{x^2-4}
as
f(x)=1(x^2-4)^{-1}
then I derive...
Not exactly a homework question, but I wasn't sure if this should go to the general forums or homework forums since this is regarding schoolwork.
I was doing an experiment regarding the conductivity of semiconductors and temperature (from rtp to 500 K) and I feel that in my calculations, I...
Homework Statement
A very long, solid cylinder with radius R has positive charge uniformly distributed throughout it, with charge per unit volume \rho
Derive the expression for the electric field inside the volume at a distance r from the axis of the cylinder in terms of the charge...
1. Consider a particle--the small red block in the figure--that is constrained to move in a circle of radius R. We can specify its position solely by theta(t), the angle that the vector from the origin to the block makes with our chosen reference axis at time t. Following the standard...
Homework Statement
In the answer to a homework I didn't understnad why these are the same:
d\vec{v}/dt*\vec{v}=d/dt(1/2\vec{v}*\vec{v})
Can someone explain?
Homework Equations
The Attempt at a Solution
Hi,
i need to prove that \sum^n_{k=1}\frac{k^2}{2^k} = 6-~\frac{n^2+4n+6}{2^n}~~(*)
for n=1 the statement holds as \sum\frac{1}{2} = 6 -\frac{11}{2}
\sum_{k=1}^{n+1} \frac{k^2}{2^k} = 6-~\frac{n^2+4n+6}{2^n} + \frac{n+1}{2^{n+1}}
In order to get a common denominator multiply (*) by...
Homework Statement
The function f is defined by f(x) = x^3
Find an expression for g(x) in terms of x in each of the following cases.
(a) f [ g(x) ] = x+1
(b) g [ f(x) ] = x+1
Homework Equations
The Attempt at a Solution
I got the same answer both times. g(x) = cubic route...
Hi I am struglling to work out the expression for theta=f(x) for a piston, that moves linearly by a distance of x along the inside of the cylinder, and is attached to a conrod of length l, whose other end is at a radius r on a fly wheel. I want an expression for the angle theta that the fly...
Homework Statement
E(Vq | p) ≥ p
p = price q = quality V = value
The Attempt at a Solution
Well, it's something to do with expected value to be greater or equal to price, but that's as far as I get really. Don't get what this means (Vq | p). Any help is appreciated!
Homework Statement
Find constants c_1,c_2 (independent of n) such that the following holds for all n\in \mathbb{N}:
\left| \sum^{2n}_{k=n+1} \frac{1}{k} - \log 2 - \frac{c_1}{n} \right| \le \frac{c_2}{n^2}.
Homework Equations
\log(2) = \sum^{\infty}_{k=1} (-1)^{k+1}\left( \frac{1}{k}...
Homework Statement
Evaluate the expression \epsilon_{ijk} \epsilon_{jmn} \epsilon_{nkp}
Homework Equations
\epsilon_{ijk} \epsilon_{ilj} = \delta_{jl}\delta_{km} - \delta_{jm}\delta_{kl}
The Attempt at a Solution
Let \epsilon_{ijk} = \epsilon_{jki} by permutation of Levi-civita...
Homework Statement
Derive the following expression for calculating the isothermal change in Constant Volume Heat Capacity:
(dCv/dV)T = T(d2P/dT2)V
Homework Equations
The Attempt at a Solution
I have no idea, please help
I am looking at the derivation for an expression that relates the concentration of an oxide to time. It appears that to do this, the author takes the limit of sqrt(A+Bt), where A and B are constants as t approaches zero and infinity. Is there an easy way to do this without making assumptions...
Prove or disprove: sinh2(ln(\sqrt{}2+\sqrt{}3)) is an integerObviously, I used my calc to figure out that the answer is 2. Proving it w/o a calc is hard though.
The Attempt at a Solution
I've tried rewriting sinh2 as (1/4)(e2x+e-2x-2) and after all the substitutions and log rules I get...
Homework Statement
Find the minimum Sum-Of-Product Expression for:
f = ab'c' + abd + ab'cd'
The Attempt at a Solution
By introducing the missing variable in term 1 and term 2 I can get an expression that has all the variables: a, b, c, and d.
I do so by:
f = ab'c'd + ab'c'd' + abcd + abc'd...
Homework Statement
To write the expression of force in STR
\ F=\frac{dp}{dt}=\ m\gamma\ a +\ m\gamma\frac{\ u .\ a}{\ c^2 -\ u^2}\ u
Here a is acceleration
Homework Equations
I used the equation \ p=\gamma\ m\ u
I interpreted F as four force,p as four momentum, a as four-acceleration, u...
Homework Statement
Simplify the following:
[log_3(2^x) * 3^(2x)]/e^(2lnx)
The Attempt at a Solution
e^(2lnx) = x^2
Log_3(2^x) = xlog_3(2)
Thus:
= 3^(2x)*x*log_3(2) / x^2
= [3^(2x)/x] * log_3(2)
Am I missing anything here? I don't seem to find anyway to continue...
Homework Statement
Show that:
p(r'+e) \cong p(r')*exp( -3e2 / 2s2 ) for large D
given that:
p(r) = rD-1 * exp( -r2 / 2s2 )
r' = sqrt(D) * s
Homework Equations
This arises out of a D-dimensional gaussian distribution and r' is the radius at which the probability is maximized.
The...
Homework Statement
Write the Given Expression in algebraic Form
sin(arctan x 5/x)
Homework Equations
The Attempt at a Solution
Do you just simplify the arcy=tan to fit with sin? So does it just become a simple simplification problem? Oh and does algebraic form mean without the...
is there any expansion of
(a+b)^(1/3) + (a-b)^(1/3)
or any other manipulation that could be done to rewrite this expression, perhaps under one radical or in some other way rather than the addition of two radicals?
Homework Statement
One ,non uniform but spherical in symmetry distribution of charge has charge density which is given by the following equations
ρ=ρο(1-r/R) when r< R and ρ=0 when r>R, ρ0=3Q/πr^3 and it is constant
a) show that the total charge included by this distribution is equal to Q...
Hello,
I have a mathematical expression that consists of a limited number of derivatives of some functions, and these derivatives exist and well defined. Can we call this expression a closed-form expression?
Regards
Homework Statement
Consider the unit vector, \hat{v}(t), expressed in instantaneous form:
\hat{v}(t) = cos(\omega t)\hat{x} + sin(\omega t)\hat{y} (#0)
The Vector will rotate counterclockwise in the x-y plane with angular velocity \omega.
Since both components are sinusoidally time varying...
Problem/Statement
The complex vector, \hat{v}(t) = cos(\omega t)\hat{x} + sin(\omega t)\hat{y} is the unit vector \hat{v}(t) expressed in instantaneous form.
Question
What I am wondering is, why is there no imaginary component "j" in say the sin component for the equation above?
Can we...
Hi Guys,
I'm doing a fitness course, and trying to understand an exercise in my textbook
involving the prediction of a person's volume of Oxygen uptake.
The test is done in an indirect way, predicting V02 Max based on physiological responses to exercise.
The Procedure goes like this:
1. Record...
Homework Statement
Simplify the following two expressions:
y\frac{\partial}{\partial z}z\frac{\partial}{\partial x}
z\frac{\partial}{\partial y}x\frac{\partial}{\partial z}
The Attempt at a Solution
for the first one: y\frac{\partial}{\partial z}z\frac{\partial}{\partial x}...
Homework Statement
Obtain an expression for the rate (dV/dt) at which the voltage across a charging capacitor increases.
Express your answer in terms of I, R, and C.
2. The attempt at a solution
I found that at time=0, dV/dt=EMF/RC
Homework Statement
I need to find an expression for the minimum drag coefficient, C_D, of an aircraft during straight and level flight.
Homework Equations
C_D=C_{D_0}+kC_L^2
Where:
C_{D_0} is the profile drag coefficent
C_L is the lift coefficient
k is just a constant
The Attempt at a...
Homework Statement
Find an expression for the P-state lightwave of angular frequency w and amplitude E_0 propagating along a line in the xy-plane at 45 degrees to the x-axis and having its plane of vibration corresponding to the xy-plane. At t = 0, y = 0, and x = 0 the field is 0...
Homework Statement
Hello,
Can you help me to understand the question..Ineed clarification and hints to solve the question..
A circle and a square are to be constructed from a piece of a wire of length l.
1-give an expression for the total area of the square and circle formed...
nZ/mZ
where / means a quotient group
if n=1 then Z/mZ is the set of integers modulus n {0,1,2,3,4,...,n-1} in case
m=2 we have a binary system, but i do not know what (1) will mean
of ocurse 'Z' means the set of all (positive) integers.
\sum_{n=1}^{\infty}\frac{\ln n}{n}> \sum_{n=1}^{\infty}\frac{1}{n}
ln is not always bigger then 1
so when i am doing the comparing test
i can't use that
because ln 1 =0
??
Homework Statement
csc(pi/2-x)/cos(x+pi/2) + cot(pi/2-x)
The Attempt at a Solution
1/cosx/-sinx + sinx/cosx
-1/sinxcosx+ sinx/cosx(sinx/sinx)
(sin2x - 1) / sinxcosx
-cos2x/sinxcosx
-cosx/sinx
-cotx
is this right the answer key says it is cosx but that could be wrong I...
Homework Statement
Find an equivalent expression for sin3x in terms of function values of x, 2x, 3x, raised only to the first power.
The Attempt at a Solution
stuck! don't know where to begin I am reviewing for my exam right now I remember doing one of these problems before but I can't...