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When a substance—isolated from its environment—is subjected to heat changes, corresponding changes in temperature and phase of the substance is observed; this is graphically represented by heating and cooling curves.
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San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
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A titration curve is a plot of some solution property versus the amount of added titrant. For acid-base titrations, solution pH is a useful property to monitor because it varies predictably with the solution composition and, therefore, may be used to monitor the titration’s progress and detect its endpoint. Acid-base titration can be performed with a strong acid and a strong base, a strong acid and a weak base, or a strong base and a weak acid.
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Thermal strain is a concept that arises when we consider how temperature changes affect structures. Unlike the conventional assumption that structures remain constant under load, real-world scenarios often involve temperature fluctuations that can significantly impact these structures. Consider a homogeneous rod with a uniform cross-section resting freely on a flat horizontal surface. If the rod's temperature increases, the rod elongates. This elongation is proportional to the temperature...
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The expansion of alcohol in a thermometer is one of many commonly encountered examples of thermal expansion, which is the change in size or volume of a given system as its temperature changes. The most visible example is the expansion of hot air. When air is heated, it expands and becomes less dense than the surrounding air, which then exerts an upward force on the hot air to, for example, make steam and smoke rise, and hot air balloons float. The same behavior happens in all liquids and gases,...
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If the temperature of an object is changed while it is prevented from expanding or contracting, the object is subjected to stress. The stress is compressive if the object expands in the absence of constraint and tensile if it contracts. This stress resulting from temperature change is known as thermal stress. It can be quite large and can cause damage. To avoid this stress, engineers may design components so they can expand and contract freely. For instance, on highways, gaps are deliberately...
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Updated: Feb 7, 2026

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Un modelo flexible para curvas de rendimiento térmico

Mauricio Cruz-Loya1, Erin A Mordecai1, Van M Savage2,3,4

  • 1Department of Biology, Stanford University, Stanford, California, USA.

Ecology
|February 6, 2026
PubMed
Resumen
Este resumen es generado por máquina.

Desarrollamos flexTPC, un nuevo modelo para respuestas biológicas a la temperatura. Utiliza parámetros biológicos interpretables y describe con precisión las curvas de rendimiento térmico (TPC) en diversos organismos.

Palabras clave:
Brierecambio climáticoectotermoecología de enfermedades infecciosasrasgo del ciclo de vidamodelo matemáticotemperaturacurva de rendimiento térmicorespuesta térmica

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Área de la Ciencia:

  • Ecología
  • Biología Evolutiva
  • Fisiología

Sus antecedentes:

  • Los rasgos biológicos a menudo exhiben curvas de rendimiento térmico (TPC) modeladas de forma fenomenológica o mecanicista.
  • Los modelos TPC existentes carecen de flexibilidad o interpretabilidad biológica.

Objetivo del estudio:

  • Introducir flexTPC, un modelo novedoso para TPC.
  • Parametrizar TPC utilizando cantidades biológicamente significativas.
  • Permitir la modelización flexible e interpretable de las respuestas biológicas dependientes de la temperatura.

Principales métodos:

  • Desarrollamos flexTPC, un modelo que utiliza el mínimo térmico, el óptimo, el máximo, el valor pico y la amplitud.
  • Aplicamos flexTPC a conjuntos de datos microbianos y entomológicos.
  • Comparamos el rendimiento de flexTPC con el modelo de Briere.

Principales resultados:

  • flexTPC describe con precisión las TPC de variada asimetría y amplitud.
  • flexTPC demostró un rendimiento predictivo superior en comparación con el modelo de Briere en los conjuntos de datos probados.
  • Los parámetros del modelo son directamente interpretables en términos biológicos.

Conclusiones:

  • flexTPC ofrece un enfoque flexible, interpretable y predictivo para modelar TPC.
  • Ideal para estudiar cómo cambian las respuestas térmicas con los factores ambientales o evolucionan.
  • Facilita las comparaciones entre especies y entre rasgos del rendimiento térmico.