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Model Mathematics

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Component: input_values

Component: state_variables

Component: parameter_values

Component: environment

Component: antidiuretic_hormone

Component: osmotic_control_of_ADH_secretion

ADHNA1 = \frac{CNA - CNR}{142 - CNR} ADHNA = \{\begin{matrix} 0 if ADHNA1 < 0 \\ ADHNA1 otherwise \end{matrix}

Component: pressure_control_of_ADH_secretion

ADHPA = \{\begin{matrix} ADHPUL if PA1 > ADHPUL \\ PA1 otherwise \end{matrix} ADHPR = {(ADHPUL - ADHPA)}^{2} ADHPAM

Component: total_ADH_secretion

ADH1 = ADHNA + ADHPR + ADHINF ADH = \{\begin{matrix} 0 if ADH1 < 0 \\ ADH1 otherwise \end{matrix}

Component: ADH_in_blood

\frac{d}{d time} (ADHC) = \frac{ADH - ADHC}{ADHTC}

Component: ADH_effect_on_nonrenal_vascular_resistance

ADHMV1 = ADHVUL - (\frac{ADHVUL - 1}{\frac{ADHVLL - 1}{ADHVLL - ADHVUL} (ADHC - 1) + 1}) ADHMV = \{\begin{matrix} ADHVLL if ADHMV1 < ADHVLL \\ ADHMV1 otherwise \end{matrix}

Component: ADH_effect_on_kidney

ADHMK1 = ADHKUL - (\frac{ADHKUL - 1}{\frac{ADHKLL - 1}{ADHKLL - ADHKUL} (ADHC - 1) + 1}) ADHMK = \{\begin{matrix} ADHKLL if ADHMK1 < ADHKLL \\ ADHMK1 otherwise \end{matrix}

Component: state_variables

Component: parameter_values

Source: Derived from workspace Guyton, Antidiuretic, Hormone, 2008 at changeset 1af835cf923b.

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