Druyd:Knowledge

Administración via Sistema Circulatorio

Storyboard

>Model

ID:(357, 0)

Drug Flow by Element with Double Entrance

Definition

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Circulation Model in the Body

Image

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Flow Conservation

Note

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bioengineering052

Quote

![bioengineering052](showImage.php)

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Exercise

![bioengineering054](showImage.php)

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Drug Flow

Equation

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Script

![bioengineering037](showImage.php)

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Drug Flux by Single Element

Variable

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Drug Flow by Element with Double Exit

Audio

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Video

![bioengineering038](showImage.php)

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Drug Flow by Element with Triple Exit

Unit

ID:(2032, 0)

Drug Flow by Element with Diffuser

Code

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Drug Flow by Element with Diffusers with Exit

Flux

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Matrix

![bioengineering039](showImage.php)

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Drug Flow by Element with two Diffusers

Html

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Drug Flow by Element with Double Entrance and Diffuser

Php

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Iframe

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Simulation

![bioengineering051](showImage.php)

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Table

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Administración via Sistema Circulatorio

Storyboard

Variables

Symbol

Text

Variable

Value

Units

Calculate

MKS Value

MKS Units

$V$

Blood Volume

m^3

$x_1$

x_1

Coordinate $x$ of Point 1

$x_2$

x_2

Coordinate $x$ of Point 2

$C$

Drug Concentration

kg/m^3

$C_d$

C_d

Drug Concentration in Diffusion Volumen

kg/m^3

$C_{d1}$

C_d1

Drug Concentration in Diffusion Volumen 1

kg/m^3

$C_{d2}$

C_d2

Drug Concentration in Diffusion Volumen 2

kg/m^3

$C_i$

C_i

Drug Concentration in Entrance Volumen

kg/m^3

$C_{i1}$

C_i1

Drug Concentration in Entrance Volumen 1

kg/m^3

$C_{i2}$

C_i2

Drug Concentration in Entrance Volumen 2

kg/m^3

$K$

Drug Flow by Diffusion Volume

m^3/s

$K_1$

K_1

Drug Flow by Diffusion Volume 1

m^3/s

$K_2$

K_2

Drug Flow by Diffusion Volume 2

m^3/s

$R$

Drug Flow by Volume from/to Exterior

m^3/s

$J$

Drug Flow per Volume

$dV$

Elemento de Volumen

m^3

$dt$

Infinitesimal Variation of Time

$Q_i$

Q_i

Volume of Blood Flow Entering

m^3/s

$Q_{i1}$

Q_i1

Volume of Blood Flow Entering from 1

m^3/s

$Q_{i2}$

Q_i2

Volume of Blood Flow Entering from 2

m^3/s

$Q_o$

Q_o

Volume of Blood Flow Exiting

m^3/s

$Q_{o1}$

Q_o1

Volume of Blood Flow Exiting 1

m^3/s

$Q_{o2}$

Q_o2

Volume of Blood Flow Exiting 2

m^3/s

$Q_{o3}$

Q_o3

Volume of Blood Flow Exiting 3

m^3/s

$V_{ph}$

V_ph

Volumen de Fármaco

m^3

$V_b$

V_b

Volumen de Sangre

m^3

Calculations

Equation

Number

First, select the equation:

, then, select the variable:

Symbol

Equation

Solved

Translated

Calculations

Symbol

Equation

Solved

Translated

Variable

Given

Calculate

Target :

Equation

To be used

Equations

$S(t)=\sum_iQ_i\displaystyle\int_0^{t}dtau c_i(tau)$

S(t)=\sum_iQ_i\int_0^{t}dtau c_i(tau)

$J=\displaystyle\frac{dV}{dt}$

J=\displaystyle\frac{dV}{dt}

$J=Q_iC_i-Q_oC$

J=Q_iC_i-Q_oC

$J=Q_{i1}C_{i1}+Q_{i2}C_{i2}-Q_oC$

J=Q_{i1}C_{i1}+Q_{i2}C_{i2}-Q_oC

$J=Q_iC_i-(Q_{o1}+Q_{o2})C$

J=Q_iC_i-(Q_{o1}+Q_{o2})C

$J=Q_iC_i-(Q_{o1}+Q_{o2}+Q_{o3})C$

J=Q_iC_i-(Q_{o1}+Q_{o2}+Q_{o3})C

$J=Q_iC_i-Q_oC-KV(C-C_d)$

J=Q_iC_i-Q_oC-KV(C-C_d)

$J=Q_{i1}C_{i1}+Q_{i2}C_{i2}-Q_oC-KV(C-C_d)$

J=Q_i1C_i1+Q_i2C_i2-Q_oC-KV(C-C_d)

$J=K_1V_{d1}(C-C_{d1})-K_2V_{d1}(C_{d1}-C_{d2})$

J=K_1V_d1(C-C_d1)-K_2V_d1(C_d1-C_d2)

$J=KV_d(C-C_d)-RV_dC_d$

J=KV_d(C-C_d)-RV_dC_d

$x_{s2}=x_1+x_2$

x_s2 = x_1 + x_2

$x_{s3}=x_1+x_2+x_3$

x_s3 = x_1 + x_2 + x_3

$C=\displaystyle\frac{V_{ph}}{V_b}$

J=V_ph/V_b

Examples

Drug Flow by Element with Double Entrance

Circulation Model in the Body

Flow Conservation

bioengineering052

![bioengineering052](showImage.php)

bioengineering052

bioengineering054

![bioengineering054](showImage.php)

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Drug Flow

bioengineering055

![bioengineering055](showImage.php)

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Calculation of the Drug Flow

$J=\displaystyle\frac{dC}{dt}$

Definici n de la Concentraci n volumentrica

La concentraci n volumetrica es la relaci n entre el volumen del f rmaco $V_{ph}$ y el volumen de la sangre $V_b$ en que esta disuelto y se calcula mediante

equation

bioengineering037

![bioengineering037](showImage.php)

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Drug Flux by Single Element

Drug Flux for a Simple Element

$VJ=Q_iC_i-Q_0C$

Drug Flow for Double Entry Element

$VJ=Q_{i1}C_{i1}+Q_{i2}C_{i2}-Q_0C$

Drug Flow by Element with Double Exit

bioengineering038

![bioengineering038](showImage.php)

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Drug Flow by Element with Dual Output

$VJ=Q_iC_i-(Q_{o1}+Q_{o2})C$

Drug Flow by Element with Triple Exit

Drug Flow by Element with triple output

$VJ=Q_iC_i-(Q_{o1}+Q_{o2}+Q_{o3})C$

Drug Flow by Element with Diffuser

$VJ=Q_iC_i-Q_oC-K(C-C_d)$

Drug Flow by Element with Diffusers with Exit

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![bioengineering039](showImage.php)

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Drug Flow by Element with diffusers out

$VJ=K(C_d-C)-RC_d$

Drug Flow by Element with two Diffusers

Drug Flow by Element with two diffusers

$VJ=K_1(C-C_{d1})-K_2(C_{d1}-C_{d2})$

Drug Flow by Element with Double Entrance and Diffuser

bioengineering040

![bioengineering040](showImage.php)

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Drug Flow by Element with double entry and diffuser

$VJ=Q_{i1}C_{i1}+Q_{i2}C_{i2}-Q_0C-K(C-C_d)$

bioengineering051

![bioengineering051](showImage.php)

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bioengineering041

![bioengineering041](showImage.php)

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Suma de tres n meros

x_{s3}=x_1+x_2+x_3

Suma de dos n meros

x_{s2}=x_1+x_2

>Model

ID:(357, 0)