#include <GeneralMath.h>

Static Public Member Functions
static void	CalculateConcentration (const SEScalarMass &mass, const SEScalarVolume &volume, SEScalarMassPerVolume &concentration, Logger *logger=nullptr)
	Calculates the concentration of a substance given mass and volume. concentration = mass / volume. More...

static void	CalculateMass (const SEScalarVolume &volume, const SEScalarMassPerVolume &concentration, SEScalarMass &mass, Logger *logger=nullptr)
	Calculates the mass of a substance given concentration and volume. mass = concentration * volume. More...

static void	CalculateHenrysLawConcentration (const SESubstance &substance, const SEScalarPressure &partialPressure, SEScalarMassPerVolume &concentration, Logger *logger=nullptr)
	Calculates the mass of a substance given concentration and volume. mass = concentration * volume. More...

static void	CalculatePartialPressureInGas (const SEScalarFraction &volumeFraction, const SEScalarPressure &pressure, SEScalarPressure &partialPressure, Logger *logger=nullptr)
	Calculates the partial pressure of a substance in gas based on the volumeFraction * pressure. More...

static void	CalculatePartialPressureInLiquid (const SESubstance &substance, const SEScalarMassPerVolume &concentration, SEScalarPressure &partialPressure, Logger *logger=nullptr)
	Calculates the partial pressure of a substance in liquid using (density and solubility coefficient) and the concentration. More...

static void	CalculateOsmolarity (const SEScalarAmountPerVolume &sodiumMolarity, const SEScalarAmountPerVolume &potassiumMolarity, const SEScalarAmountPerVolume &glucoseMolarity, const SEScalarAmountPerVolume &ureaMolarity, SEScalarOsmolarity &fluidOsmolarity)
	[Bhagat1984CalculatedOsmolality] More...

static void	CalculateOsmolality (const SEScalarAmountPerVolume &sodiumMolarity, const SEScalarAmountPerVolume &potassiumMolarity, const SEScalarAmountPerVolume &glucoseMolarity, const SEScalarAmountPerVolume &ureaMolarity, const SEScalar &specificGravity, SEScalarOsmolality &fluidOsmolality)
	[Bhagat1984CalculatedOsmolality] More...

static void	CalculateSpecificGravity (const SEScalarMass &mass, const SEScalarVolume &volume, SEScalar &specificGravity, Logger *logger=nullptr)

static void	CalculateWaterDensity (const SEScalarTemperature &temp, SEScalarMassPerVolume &density)

static void	Combinations (::std::vector< int > maxValues,::std::vector<::std::vector< int >> &permutations)

static double	AntoineEquation (double dTemperature_C)

static double	LinearInterpolator (double x1, double x2, double y1, double y2, double xPrime)
	Performs linear interpolation between two points. More...

static double	PercentDifference (double expected, double calculated)

static double	PercentTolerance (double expected, double calculated, double epsilon=1e-20)

static double	ResistanceFunction (double dbase, double dmin, double dmax, double dx)
	Returns y value for the specified exponential function given a normalized x value (0.0 to 1.0). More...

static double	LogisticFunction (double a, double x50, double k, double x)
	A logistic function. More...

static double	CalculateNernstPotential (SELiquidCompartment &extra, SELiquidCompartment &intra, SESubstance *ion, double &coreTemp_K)
	Calculates Nernst Potential. More...

static double	HillActivation (double x, double n, double h)

static double	HillInhibition (double x, double n, double h)

static double	VectorSum (std::vector< double > &vec)

Member Function Documentation

double biogears::GeneralMath::AntoineEquation ( double dTemperature_C )

static

void biogears::GeneralMath::CalculateConcentration	(	const SEScalarMass &	mass,
		const SEScalarVolume &	volume,
		SEScalarMassPerVolume &	concentration,
		Logger *	logger = `nullptr`
	)

static

Calculates the concentration of a substance given mass and volume. concentration = mass / volume.

void biogears::GeneralMath::CalculateHenrysLawConcentration	(	const SESubstance &	substance,
		const SEScalarPressure &	partialPressure,
		SEScalarMassPerVolume &	concentration,
		Logger *	logger = `nullptr`
	)

static

Calculates the mass of a substance given concentration and volume. mass = concentration * volume.

void biogears::GeneralMath::CalculateMass	(	const SEScalarVolume &	volume,
		const SEScalarMassPerVolume &	concentration,
		SEScalarMass &	mass,
		Logger *	logger = `nullptr`
	)

static

Calculates the mass of a substance given concentration and volume. mass = concentration * volume.

double biogears::GeneralMath::CalculateNernstPotential	(	SELiquidCompartment &	extra,
		SELiquidCompartment &	intra,
		SESubstance *	ion,
		double &	coreTemp_K
	)

static

Calculates Nernst Potential.

Parameters

extra	extracellular tissue compartment
intra	intracellular tissue compartment
ion	ion being considered (Na, K, Cl)

Returns: E_nernst

Calculates the Nernst potential of an ion based on its concentration gradient. The difference between this value and the current cell potential dictates the rate and direction of ion movement

void biogears::GeneralMath::CalculateOsmolality	(	const SEScalarAmountPerVolume &	sodiumMolarity,
		const SEScalarAmountPerVolume &	potassiumMolarity,
		const SEScalarAmountPerVolume &	glucoseMolarity,
		const SEScalarAmountPerVolume &	ureaMolarity,
		const SEScalar &	specificGravity,
		SEScalarOsmolality &	fluidOsmolality
	)

static

[Bhagat1984CalculatedOsmolality]

void biogears::GeneralMath::CalculateOsmolarity	(	const SEScalarAmountPerVolume &	sodiumMolarity,
		const SEScalarAmountPerVolume &	potassiumMolarity,
		const SEScalarAmountPerVolume &	glucoseMolarity,
		const SEScalarAmountPerVolume &	ureaMolarity,
		SEScalarOsmolarity &	fluidOsmolarity
	)

static

[Bhagat1984CalculatedOsmolality]

void biogears::GeneralMath::CalculatePartialPressureInGas	(	const SEScalarFraction &	volumeFraction,
		const SEScalarPressure &	pressure,
		SEScalarPressure &	partialPressure,
		Logger *	logger = `nullptr`
	)

static

Calculates the partial pressure of a substance in gas based on the volumeFraction * pressure.

void biogears::GeneralMath::CalculatePartialPressureInLiquid	(	const SESubstance &	substance,
		const SEScalarMassPerVolume &	concentration,
		SEScalarPressure &	partialPressure,
		Logger *	logger = `nullptr`
	)

static

Calculates the partial pressure of a substance in liquid using (density and solubility coefficient) and the concentration.

void biogears::GeneralMath::CalculateSpecificGravity	(	const SEScalarMass &	mass,
		const SEScalarVolume &	volume,
		SEScalar &	specificGravity,
		Logger *	logger = `nullptr`
	)

static

void biogears::GeneralMath::CalculateWaterDensity	(	const SEScalarTemperature &	temp,
		SEScalarMassPerVolume &	density
	)

static

void biogears::GeneralMath::Combinations	(	::std::vector< int >	maxValues,
		::std::vector<::std::vector< int >> &	permutations
	)

static

double biogears::GeneralMath::HillActivation	(	double	x,
		double	n,
		double	h
	)

static

double biogears::GeneralMath::HillInhibition	(	double	x,
		double	n,
		double	h
	)

static

double biogears::GeneralMath::LinearInterpolator	(	double	x1,
		double	x2,
		double	y1,
		double	y2,
		double	xPrime
	)

static

Performs linear interpolation between two points.

Parameters

x1	value 1 on the x axis
x2	value 2 on the x axis
y1	the y value corresponding to x1
y2	the y value corresponding to x2
xPrime	the interpolation point

Returns: the y value corresponding to xPrime

Linear Interpolator finds the y value at xPrime. The slope and Y intercept of the line connecting (x1,y1) and (x2,y2) are then found so y = mx + b can be used to find yPrime by inputting xPrime.

double biogears::GeneralMath::LogisticFunction	(	double	a,
		double	x50,
		double	k,
		double	x
	)

static

A logistic function.

Parameters

a	asymptote
x50	x-value at sigmoid midpoint
k	curve steepness and direction parameter
x	input value

Returns: y

A logistic function.

double biogears::GeneralMath::PercentDifference	(	double	expected,
		double	calculated
	)

static

double biogears::GeneralMath::PercentTolerance	(	double	expected,
		double	calculated,
		double	epsilon = `1e-20`
	)

static

double biogears::GeneralMath::ResistanceFunction	(	double	dbase,
		double	dmin,
		double	dmax,
		double	dx
	)

static

Returns y value for the specified exponential function given a normalized x value (0.0 to 1.0).

y = dbase ^ [(Log10(dmin/dmax) * x) + Log10(dmax)]

Parameters

dbase	base value
dmin	minimum
dmax	maximum
x	normalized x, 0.0 to 1.0

Returns: y

Exponential function used to model airflow resistance. Requires a base value for the function, a minimum y value (x = 0), and maximum y value (x = 1). Return the y value that maps to x.

Limitations:

dmin > 0
dmax > 0
0.0 <= dx <= 1.0

If any of the input variables fall outside the above bounds, the function returns NaN

double biogears::GeneralMath::VectorSum ( std::vector< double > & vec )

static

Static Public Member Functions

Member Function Documentation