| schoolfield_81 {devRate} | R Documentation |
Schoolfield et al. equation of development rate as a function of temperature.
Description
Schoolfield, R., Sharpe, P. & Magnuson, C. (1981) Non-linear regression of biological temperature-dependent rate models based on absolute reaction-rate theory. Journal of theoretical biology, 88, 719-731.
Usage
schoolfield_81
Format
A list of eight elements describing the equation.
- eq
The equation (formula object).
- eqAlt
The equation (string).
- name
The name of the equation.
- ref
The equation reference.
- refShort
The equation reference shortened.
- startVal
The parameters found in the literature with their references.
- com
An optional comment about the equation use.
- id
An id to identify the equation.
Details
Equation:
rT = \frac{p25 * \frac{T + 273.16}{298} * e^{\frac{aa}{1.987} * (\frac{1}{298} - \frac{1}{T + 273.16})}}{1 + e^{\frac{bb}{1.987} * (\frac{1}{cc} - \frac{1}{T + 273.16})} + e^{\frac{dd}{1.987} * (\frac{1}{ee} - \frac{1}{T + 273.16})}}
where rT is the development rate, T the temperature, p25 the development rate at 25 degree Celsius assuming no enzyme inactivation, aa the enthalpy of activation of the reaction that is catalyzed by the enzyme, bb the change in enthalpy associated with low temperature inactivation of the enzyme, cc the temperature at which the enzyme is 1/2 active and 1/2 low temperature inactive, dd the change in enthalpy associated with high temperature inactivation of the enzyme, and ee the temperature at which the enzyme is 1/2 active and 1/2 high temperature inactive.
References
doi:10.1016/0022-5193(81)90246-0