光合作用对光和CO2响应模型的研究进展
井冈山大学数理学院, 江西吉安 343009
A review on modeling of responses of photosynthesis to light and CO2
Maths & Physics College, Jinggangshan University, Ji’an, Jiangxi 343009, China
通讯作者: * E-mail:yezp2004@sina.com
编委: 李镇清
责任编辑: 王 葳
收稿日期: 2009-10-10 接受日期: 2010-02-5 网络出版日期: 2010-06-01
Received: 2009-10-10 Accepted: 2010-02-5 Online: 2010-06-01
光合作用对光和CO2响应模型是研究植物生理和植物生态学的重要工具, 可为植物光合特性对主要环境因子的响应提供科学依据。该文综述了当前光合作用对光和CO2响应模型的研究进展和存在的问题, 并在此基础上探讨了这些模型的可能发展趋势。光合作用涉及光能的吸收、能量转换、电子传递、ATP合成、CO2固定等一系列复杂的物理和化学反应过程。光合作用由原初反应、同化力形成和碳同化3个基本过程构成, 任一个过程均可对光合作用速率产生直接的影响。光合作用对光响应模型只涉及光能的转换, 而光合作用的生化模型包含了同化力形成和碳同化这两个基本过程。把光合作用的原初反应, 即把参与光能吸收、传递和转换的捕光色素分子的物理参数(如捕光色素分子数、捕光色素分子光能吸收截面、捕光色素分子处于激发态的平均寿命等)结合到生化模型中, 可能是今后光合作用对光响应机理模型的发展方向。
关键词:
The light and CO2 response curve of photosynthesis is an important tool to study plant physiology and plant ecology that can provide a scientific basis for the response of plant photosynthetic properties to environmental factors. This review considered the progress and potential weaknesses of light and CO2 response models of photosynthesis and discussed research trends. Photosynthesis, which involves energy of light, absorption, energy conversion, electron transfer, ATP synthesis, CO2 fixation etc., is a complex physical and chemical reaction process. It includes three basic steps: the primary reaction, the assimilatory power forms and the carbon assimilation, and each link may directly influence other processes. Classical models on photosynthetic light response only involve with light energy absorption, and biochemistry models do with the assimilatory power to form as well as carbon assimilation. A future direction of research of the mechanistic model of photosynthetic light response is the primary reaction of photosynthesis, namely participation the energy of light absorption, the transmission and the transformation of the harvesting light pigment member the physical parameter (e.g., the light-harvesting pigment molecules, light energy absorption cross-section of the harvesting pigment, the mean lifetime of the harvesting light pigment) unify in the biochemistry model.
Keywords:
本文引用格式
叶子飘.
YE Zi-Piao.
自从Blackman (1905)提出了第一个
1 光合作用 对光响应 模型的回顾
1.1 直角双曲线模型
直角双曲线模型(Baly, 1935)的数学表达式为:
对(1)式求一阶导数可得:
由(2)式可知, 当I = 0时, 有
由于α和Pnmax均大于0, 由(2)式可知必有
1.2 非直角双曲线模型
非直角双曲线模型(Thornley, 1976)的表达式为:
(5)式中
对(5)式求一阶导数, 可得:
由于α、I和Pnmax均大于0, 由(6)式可知
当
与直角双曲线模型的讨论相似。如果植物在饱和光强之后
1.3 指数方程
由Prado和Moraes (1997)给出的植物
式中, Pn、Pnmax和I的定义与前述相同, Ic为
(8)式的一阶导数为:
当I = 0时, 由(9)式可知有:
由于b和Pnmax均大于0, 由(9)式可知必然存在
由Bassman和Zwier (1991)给出的植物
式中, Pn、α、Pnmax、Rd和I的定义与前述相同。
(11)式的一阶导数为:
由(12)式可知必有
当I = 0时, 必有:
指数方还有如下形式:
式中, Pn、Pnmax和I的定义与前述相同, α和C0是2个系数。
(14)式的一阶导数为:
由(15)式可知, 当I = 0, 有:
由(16)式可知, (14)式中的α和C0是2个没有任何生物学意义的常数, 只能说这2个系数的乘积等于曲线的初始斜率。显然, 把(14)式的α称为弱光下量子效率, 把C0称为度量弱光下净
当然, 指数方程还可以写成如下形式(Watling et al., 2000):
由(18)式可知, 当I = Ic, 即Pn = 0时, 有
从上面对指数方程的讨论可知, 虽然指数方程的形式多种多样, 但它们的本质是一样的, 即这些指数方程都是一条渐近线, 无法由它们拟合植物在饱和光强之后
1.4 直角双曲线的修正模型
植物
(19)式的一阶导数为:
由(21)式和(22)式可知, 由直角双曲线修正模型可以直接计算植物的饱和光强和最大净
图1A给出了直角双曲线、非直角双曲线模型、指数方程和直角双曲线的修正模型拟合温度为20 ℃、CO2浓度为365 μmol·mol-1条件下华北平原冬小麦(Triticum aestivum)的光
图1
图1
冬小麦的光
A, 4个
Fig. 1
Light-
A, Light-
表1
四个光
Table 1
光合参数 Photosynthetic parameters | 初始斜率 Initial slope α | 最大净 Pnmax (μmol·m-2·s-1) | 饱和光强 Isat (μmol·m-2·s-1) | Ic (μmol·m-2·s-1) | 暗 Rd (μmol·m-2·s-1) | 决定系数 Determination coefficient R2 |
---|---|---|---|---|---|---|
直角双曲线 Rectangular hyperbola | 0.076 | 31.01 | 671.25* | 27.08 | -1.93 | 0.996 2 |
非直角双曲线 Non-rectangular hyperbola | 0.055 | 26.78 | 583.18* | 23.10 | -1.25 | 0.998 9 |
指数方程 *** Exponential equation*** | 0.058 | 24.40 | 1 288.80** | 23.03 | -1.30 | 0.999 1 |
修正的直角双曲线 Modified rectangular hyperbola | 0.062 | 22.76 | 1 799.18 | 23.75 | -1.43 | 0.999 2 |
测量数据 Measured data | 无 None | ≈20 | -1.25 | 无 None |
*, 用方程Pnmax = AQE
Ic,
图2A给出了直角双曲线、非直角双曲线模型、指数方程和直角双曲线的修正模型拟合
图2
图2
低光强条件下
A, 4个
Fig. 2
Light-
A, Light-
表2
四个光
Table 2
光合参数 Photosynthetic parameters | 初始斜率 Initial slope α | 最大净 Pnmax (μmol·m-2·s-1) | 饱和光强 Isat (μmol·m-2·s-1) | Ic (μmol·m-2·s-1) | 暗 Rd (μmol·m-2·s-1) | 决定系数 Determination coefficient R2 |
---|---|---|---|---|---|---|
直角双曲线模型 Rectangular hyperbola | 0.118 | 6.69 | 199.58* | 4.39 | -0.48 | 0.939 6 |
非直角双曲线模型 Non-rectangular hyperbola | 0.042 | 5.79 | 171.33* | 无 None | 0.02 | 0.964 6 |
指数方程*** Exponential equation | 0.068 | 6.02 | 247.92** | 3.45 | -0.23 | 0.966 6 |
直角双曲线的修正模型 Modified rectangular hyperbola | 0.071 | 6.49 | 646.70 | 3.17 | -0.22 | 0.996 8 |
测量数据 Measured data | 无 None | ≈3 | -0.15 | 无 None |
表注同
Notes see
2 光合作用 对CO2响应 模型的回顾
2.1 生化模型
植物
式中, Vcmax为最大Rubisco羧化速率。Kc和Ko分别为羧化作用和加氧作用的Michaelis-Menten常数(Farquhar et al., 1980)。J为光饱和时用于RuBP
依赖于温度的Vcmax、Vomax(最大RuBP氧化饱和率)和Rd方程(Bernacchi et al., 2001)为:
式中,
依赖于温度的Kc、Ko和Г*的方程(Bernacchi et al., 2001; Long & Bernacchi, 2003)为:
由量纲分析可知, Long 和 Bernacchi (2003)给出的(26)式分别遗漏了相关系数Kc25 (为25 ℃时羧化作用的Michaelis-Menten常数), Ko25 (为25 ℃时加氧作用的Michaelis-Menten常数)和Г*25 (为25 ℃时不含暗
从上面对生化模型的
2.2 直角双曲线模型
与
2.3 Michaelis-Menten模型
Michaelis-Menten模型(Harley et al., 1992)的数学表达式为:
式中, Pn、Ci、Pnmax和Rp的定义与(27)式的相同, K为Michaelis-Menten常数。
对(28)式求一阶导数可得:
2.4 直角双曲线的修正模型
如果用Cisat表示植物的饱和胞间CO2浓度, 则有:
图3为华北平原冬小麦温度分别在25 ℃、光强为2 000 μmol·m-2·s-1时
图3
图3
冬小麦的
A, 3个
Fig. 3
Intercellular CO2
A, CO2
从表3的数据可知, 由直角双曲线模型和Michaelis-Menten模型拟合得到的光合能力为68.54 μmol·m-2·s-1, 远大于实测值的42.3 μmol·m-2·s-1。并且从表3的数据可知, 除初始羧化效率外, 直角双曲线模型和Michaelis-Menten模型的拟合结果完全相同, 这表明它们本质上是相同的。另外, 由于直角双曲线模型和Michaelis-Menten模型没有极点, 所以为了求饱和胞间CO2浓度就必须用其他方法, 例如用类似于指数方程那样求饱和胞间CO2浓度, 那么只能假定0.6Pnmax所对应的CO2浓度才是饱和胞间CO2浓度。如果假设0.7Pnmax所对应的CO2浓度是饱和胞间CO2浓度, 则为1 520.43 μmol·mol-1; 如果假设0.9Pnmax所对应的CO2浓度是饱和CO2浓度,则用此方法不能计算植物的饱和胞间CO2浓度。显然, 用这样的方法估算植物的饱和胞间CO2浓度不是很合理的。
Table 3
光合参数 Photosynthesis parameter | MichaelisMenten 模型 MichaelisMenten model | 直角双曲线模型 Rectangular hyperbola model | 修正模型 Modified model | 测量值 Measured data |
---|---|---|---|---|
初始羧化效率 (mol·m-2·s-1) Initial slope α | 无None | 0.331 | 0.228 | 无None |
光合能力 (μmol·m-2·s-1) Photosynthetic capacity | 68.54 | 68.54 | 42.26 | |
饱和胞间CO2浓度(μmol·mol-1) saturation intercellular CO2 concentration Cisat | 687.02* | 687.02* | 886.74 | |
CO2补偿点 (μmol·mol-1) CO2 compensation point Γ | 45.58 | 45.58 | 47.40 | |
光 Rate of | -12.36 | -12.36 | -9.51 | 无 None |
决定系数 Determination coefficient (R2) | 0.991 3 | 0.991 3 | 0.998 7 | 无 None |
*, 假定净
*, saturation intercellular CO2 concentration, i.e. Ci at 0.6Pnmax.
3 表观量子效率与羧化效率
由
4 光系统 的空间结构和功能
类囊体膜是
尽管现在对捕光色素分子的光能吸收、退激发和传递过程和机制有所了解, 但对于捕光色素分子中哪些物理参数在此过程中起作用, 以及如何起作用则不是很清楚。而要定量
5 存在的问题与展望
尽管人们对
针对上述问题, 认为今后的工作应该侧重以下几个方面: 1)考虑
致谢
国家自然科学基金(30960031)和江西省自然科学基金(2009GZN0076)共同资助。法国LSCE- CEA的李龙辉博士曾阅读本文文稿并提出建议和修改意见, 特此致谢。
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Primary application on a light-
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Comparison of two
The vertical distribution of cotton leaf nitrogen content and photosynthetic characteristics in the North China Plain
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