In physiology, transport maximum (alternatively Tm or Tmax) refers to the point at which increases in concentration do not result in an increase in movement of a substance across a membrane.
For both substances (as with all substances), the quantity excreted can be determined with the following equation:
- excretion = (filtration + secretion) - reabsorption
The proximal convoluted tubule of the nephron has protein channels that reabsorb glucose, and others that secrete para-aminohippuric acid (PAH). However, its ability to do so is proportionate to the channel proteins available for the transport.
- Glucose is not secreted, so excretion = filtration - reabsorption. Both filtration and reabsorption are directly proportional to the concentration of glucose in the plasma. However, while the maximum reabsorption is about 300 mg/dL in healthy nephrons, filtration has effectively no limit (within reasonable physiological ranges.) Therefore, if the concentration rises above 300 mg/dL, the body cannot retain all the glucose, leading to glucosuria.
- PAH is not reabsorbed and is secreted, so excretion = filtration + secretion. As with glucose, the transfer is at the proximal tubule, but in the opposite direction: from the peritubular capillaries to the lumen. At low levels, all the PAH is transferred, but at high levels, the transport maximum is reached, and the PAH takes longer to clear.
In practice, the transport maximum is not all-or-nothing. As the concentration approaches the transport maximum, some of the channels are overwhelmed before others are. For example, with glucose, some sugar appears in the urine at levels much lower than 300 mg/dL. The point at which the effects start to appear is called "threshold", and the difference between threshold and transport maximum is called "splay".
Tmax can also be used to refer to the time it takes for a drug to reach Cmax within a body (i.e., the maximum concentration).
In Computer Science, TMax is used as shorthand for the Two's Complement maximum integer.
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