THE RATE OF GROWTH OF THE DAIRY COW : IV. GROWTH AND SENESCENCE AS MEASURED BY THE RISE AND FALL OF MILK SECRETION WITH AGE.

Data are presented on the effect of age on milk secretion in the dairy cow. From the age when milk secretion usually begins (2 years) to the age when maximum body weight is reached (about 8 years) increase of milk secretion and increase of body weight with age follow the same exponential course, which is the course of a monomolecular reaction of chemistry. After this age, unlike body weight which remains practically constant, milk secretion declines exponentially, that is, the course of decline follows the course of decline of a monomolecular reaction. The whole course of milk secretion with age was therefore found to follow approximately the course of two simultaneous, consecutive, monomolecular reactions. This is taken to mean that growth and senescence go on simultaneously from the beginning to the end of life, and that each follows an exponential law with age; and therefore perhaps that the course of the two processes are limited by two consecutive chemical reactions.     

THE RATE OF GROWTH OF THE DAIRY COW : III. THE RELATION BETWEEN GROWTH IN WEIGHT AND INCREASE OF MILK SECRETION WITH AGE.

It is shown that from 2 years, the age when milk secretion usually begins, to 9 years, the age of maximum body weight, the increase of milk secretion with age follows the course of growth in body weight— both can be accurately represented by the equation of a monomolecular chemical reaction having a velocity constant of approximately the same numerical value. While increase in milk secretion and increase in body weight with age follow the same course, it is shown that increasing body weight contributes only about 20 per cent to increasing milk secretion with age. The fact that milk secretion and body weight follow the same course, even though they are largely independent of each other indicates that increase in body weight is a good measure of growth of the dairy cow; this fact also shows that the increase of milk secretion with age may be used as a measure of growth. The fact that milk secretion, like body weight, follows the course of a chemical reaction, adds further support to the theory that growth is limited by a chemical reaction.     

THE RATE OF GROWTH OF THE DAIRY COW : V. EXTRAUTERINE GROWTH IN LINEAR DIMENSIONS.

Barring fluctuations due to the cyclic phenomena, the extrauterine course of growth in linear dimensions and in weight of the dairy cow follows an exponential law having the same form as the law representing the course of monomolecular change in chemistry. This suggests the interpretation that the general course of growth is limited by a monomolecular chemical process, and that the cyclic phenomena are due to subsidiary processes in the fundamentally exponential course of growth. The fact that growth follows or tends to follow an exponential course may be stated more simply as follows: if the unit of time is taken sufficiently large so that fluctuations due to the cyclic phenomena are balanced or eliminated, then the amount of growth made during the given unit of time at any age tends to be a constant percentage of the growth made during the preceding unit of time. Thus, the growth in height at withers made during any year is about 34 per cent of the growth made during the preceding year. Similarly the growth in weight made during any year is about 56 per cent of the growth in weight made during the preceding year. This is in accordance with expectations if it is assumed that each animal begins life with a definite endowment of limiting substance necessary for the process of growth, and that this endowment is used up at a constant rate (or percentage) of itself.     

THE PRENATAL GROWTH OF THE MOUSE

1. The general course of prenatal growth in the mouse, the guinea pig, and the chick can be expressed by straight line relations between the logarithms of the weight and age only when age is counted from the beginning of the embryo proper. 2. This is interpreted as showing that the manner of growth before the beginning of the embryo proper is essentially different from that after this time. 3. The velocity constants for the animals mentioned are similar; the major differences in their curves depend on the amount of tissue involved in the first organization of the embryo proper and in the length of prenatal life. 4. Growth of different animals may be compared more accurately if, instead of either birth age or conception age, embryo age is used.     

长江中、上游铜鱼的生长特性

铜鱼是长江中上游的重要经济鱼类和天然捕捞对象,1990—1995年作者利用在长江中上游收集的1030尾标本,对铜鱼的生长特性进行了研究。其体重和体长的关系为W=0.005413L~(3.113)(r=0.9982),生长方程为L_t=60.0229[1-e~(-0.2325(t 0.6108))];W_t=3261.9137[1-e~(-0.2325(t 0.6108))]~(3.113),体重生长拐点t=4.2龄,相应的体长41.05cm、体重973.03g。按生长指标值分析,阶段生长可明显地划分为两个时期,即4龄前的生长迅速期和4龄后的生长减缓期。因此,天然渔业的捕捞规格应控制在约1000g以上的个体,目前在葛洲坝以下的中游江段主要捕捞幼鱼的现状应该改变。     

THE NATURE OF THE GROWTH RATE

1. The growth rate of organisms may be considered as a chemical reaction which gives the mature organism as its end-product. The organism grows at a definite rate which is, at any moment, proportional to the amount of growth yet to be made. 2. Shoots of young pear trees measured at weekly intervals during the growing season showed a rate similar to that of an autocatalytic reaction. 3. Young walnut trees showed distinct cycles of growth in a single season, but the growth in each cycle proceeded at a rate corresponding to an autocatalytic reaction. 4. The growth rate follows a definite, quantitative course though judged by different criteria. Data are presented for maize in which green weight, dry weight, and height of the plant are used. Data for cattle show that either weight or height of the animal may be used as a criterion.     

THE KINETICS OF SENESCENCE

The course of decline of vitality with age due to the process of senescence, when not complicated by the process of growth, follows a simple exponential law; that is the degree of vitality or of senescence (defining vitality as the reciprocal of senescence) at any moment is, regardless of age, a constant percentage of the degree of vitality or senescence of the preceding moment. This exponential law is the same as the law of monomolecular change in chemistry. During the actively growing period of life the index of vitality rises, due to the process of growth and the course of vitality in the case when the growing period is included in the vitality curve, follows a rising and falling course. This rising and falling course may often be represented by an equation containing two exponential terms which is practically the equation used to represent the course of accumulation and disappearance of a substance as the result of two simultaneous consecutive monomolecular chemical reactions.     

THE RATE OF GROWTH OF THE DAIRY COW : EXTRAUTERINE GROWTH IN WEIGHT.

The growth period of the Jersey and Holstein cows is made up of at least three cycles, two extrauterine cycles with maxima at about 5 and 20 months of age, and one intrauterine cycle, the maximum of which has not yet been determined. The equation of an autocatalytic monomolecular reaction was found to give very good results when applied to the cycle having its maximum at about 5 months of age. The values obtained from this equation when applied to the cycle having the maximum at about 20 months of age were higher than the observed values probably due to the retarding effect of pregnancy and lactation on growth.     

THE EFFECT OF GESTATION ON THE RATE OF DECLINE OF MILK SECRETION WITH THE ADVANCE OF THE PERIOD OF LACTATION

1. Data are presented showing that the course of decline of milk secretion with the advance of the period of lactation in farrow cows follows the course of decline of a monomolecular chemical reaction, that is each month''s milk production is a constant percentage of the production of the preceding month (94.77 per cent in the case of the cow under consideration), from which it is inferred that milk secretion is limited by a chemical reaction initiated at parturition, and declining with the decrease of the concentration of the limiting substance as it is transformed into milk. 2. Data are presented showing that the decline in milk secretion due to pregnancy is related to the increase in weight of gestating animals, from which it is inferred that growth of the fetus is in part, at least, responsible for the decline in the milk flow due to the demand of the fetus for nutrients to support its life processes.     

雅鲁藏布江下游弧唇裂腹鱼的年龄结构与生长特性

研究以采自雅鲁藏布江下游墨脱段的928尾弧唇裂腹鱼(Schizothorax curvilabiatus)为研究对象, 对耳石、脊椎骨和鳃盖骨三种年龄材料的准确性进行比较, 并对其种群年龄结构和生长特性进行研究。结果表明, 耳石是鉴定弧唇裂腹鱼最适合的年龄材料。弧唇裂腹鱼体长为48—508 mm, 体重为1.8—1898.9 g。体长体重关系式为W =2.279×10–5 SL 2.931。雌鱼最大年龄43龄, 雄鱼最大年龄23龄。von Bertalanffy生长方程为雌性: L_t= 590.2[1–e–0.096(t–0.282)], W_t=3016.8[1–e–0.096(t–0.282)]2.931; 雄性: L_t=575.3[1–e–0.090(t+0.011)], W_t=2798.9[1–e–0.090(t+0.011)]2.931。弧唇裂腹鱼雌性和雄性的拐点年龄分别为11.5龄和11.9龄。研究结果表明弧唇裂腹鱼生长缓慢、寿命较长, 为典型的K-对策选择者。随着雅鲁藏布江下游河流环境受到的人为干扰逐渐加大, 应从控制捕捞、栖息地保护和加强人工繁育等方面保护弧唇裂腹鱼的种群资源。     

TIME RELATIONS OF GROWTH : III. GROWTH CONSTANTS DURING THE SELF-ACCELERATING PHASE OF GROWTH.

Growth curves consist, in all cases, of two major segments. The first major segment is, in the case of higher animals and plants, made up in turn of several (probably five) shorter segments during each of which growth takes place at a constant percentage rate. The transitions between the successive stages are abrupt, the abruptness being of the order of metamorphosis in cold blooded animals. It has been made clear in the first paper of this series that the time rate of growth following the major inflection declines at a constant percentage rate. The junction between the two major segments occurs at puberty in animals and flowering in plants. The two major segments are not symmetrical about the major inflection. The slope of the segment following the inflection is always less than the slope of the segment preceding the inflection. The major inflection does not occur in the center of the growth curve. The instantaneous rate of growth at the beginning of growth is of the order of 100–200 per cent per day (i.e. the body weight is doubled in from 7 to 17 hours). It may be mentioned that 2 months after conception the rate of growth in man is only 8 per cent per day. This is contrary to all the published statements. Thus, Minot concluded that growth begins at 1000 per cent per day; Jackson concluded that in man, growth during the 1st month takes place at 57.5 million per cent per month; during the 2nd month 990 per cent per month; during the 3rd month 390 per cent per month (8 per cent per day is only 240 per cent per month). The reason for the discrepancy between the values derived, by the method adopted by the writer, and the values given in the literature is explained by Fig. 1.     

THE RATE OF SENESCENCE OF THE DOMESTIC FOWL AS MEASURED BY THE DECLINE IN EGG PRODUCTION WITH AGE

Data are presented showing that the course of decline of egg production with age in the domestic fowl from the time laying begins up to and including 8 years follows an exponential law, that is, each year''s egg production is a constant percentage of the preceding year''s production (88 per cent in the group of fowl studied). Since the exponential law is the same as the law of monomolecular change in chemistry, and since the course of egg production with age may be taken as an index of the course of senescence of organs, or tissues limiting egg production, it is suggested that this exponential law of egg production substantiates the idea that senescence is a physicochemical process the course of which is limited by a chemical reaction. It is shown that the exhaustion of the oocytes is not likely to be the factor limiting the course of egg production.     

北京市幼儿园2—6岁儿童生长情况

1985年5月—8月,作者对北京市幼儿园833名2—6岁儿童进行了人体测量调查,并对所获得的数据进行了统计分析。结果表明2—6岁儿童身高增长较快,平均每年增加70毫米,身体各部分的长度变化基本与身高的增长相协调;围度的变异范围大于长度的变异范围。同1975年调查结果相比,儿童的体重、身高、胸围等项目数值都有所增加,但身高的增加速度已减慢。     

A NOTE ON THE SIMILARITIES BETWEEN THE CURVES OF GROWTH AND OF REGENERATION

The curves of growth and of regeneration follow the same course, and can be represented by the same exponential equation. This is taken to substantiate the theory that growth and regeneration are essentially identical processes governed by the same laws. A common peculiarity of the curves of growth and of regeneration is that during a short period in the early stages of regeneration and of growth, the apparent observed speed of these processes seems to be relatively slow. As a result, the curve of the fitted equation cuts the time axis not at zero, the beginning of growth or regeneration, but somewhat later. Data on regeneration are cited indicating that the initial slow phase of regeneration is due to the time required for the formation of a cap of embryonic cells which serves as a basis for the more active later regeneration; in other words, to qualitative growth which cannot be expressed in terms of quantitative units. It is suggested that the apparent initial slow phase of growth of the individual from the fertilized egg is due to a similar qualitative growth. It is suggested that if the initial qualitative changes could be converted into some common unit with the subsequent quantitative changes, the apparent initial lag would disappear, and the exponential equation representing the course of these processes would then be the same as the equation used to represent the course of a monomolecular chemical reaction. Certain implications of this reasoning are discussed in the text.     

江苏南部溪流司氏?生长特性的初步研究

2017年1月至2019年4月于江苏南部溪流水域采集司氏?(Liobagrus styani)样本221尾, 利用脊椎骨分析法对司氏?的年龄与生长进行了初步研究。结果表明, 司氏?渔获物年龄组成为1—5龄, 以2—3龄个体为主, 占总样本量的71.85%。体长分布范围为32.09—104.02 mm, 优势组60—90 mm。体长与脊椎骨外径关系为L = 22.134R+34.551, 体长与体重关系为W = 3×10–5L2.836, von Bertalanffy生长方程为: L_t=108.45[1–e–0.1330(t+3.8058)], W_t=17.74[1–e–0.1330(t+3.8058)]2.836。生长拐点年龄为4.04龄, 拐点年龄时对应体长、体重分别为L_i=70.22 mm和W_i=5.17 g。研究首次在江苏南部水域采集到司氏?, 并首次报道了年龄结构和生长特征, 为其资源保护提供了基础资料。     

淮河上游南湾湖麦穗鱼年龄与生长的研究

2014年的3月、5月、7月和12月在淮河上游南湾湖采集麦穗鱼(Pseudorasbora parva)样本532尾, 对麦穗鱼的年龄组成与生长进行分析。结果表明样本的体长分布范围为35.82—88.28 mm, 平均体长为(61.61±11.8) mm, 体重的分布范围为3.07—59.17 g, 平均体重为(19.23±10.73) g。雄性个体比雌性个体大, 雌雄性比为0.64鲶1。群体的年龄组成为1—3龄, 其中3龄样本数量占优势为57.38%。体长与体重的关系是雌性W=9.602E–5L2.928 (R2=0.883); 雄性W=4.487E–5L3.116 (R2=0.889), 雌雄样本间存在显著性差异(F=5.241, P<0.05)。麦穗鱼的鳞径与体长之间呈线性关系, 并且雌雄样本的鳞径与体长之间的关系差异性显著(F=78.405, P<0.05)。生长参数分别是雌性: L_∞=107.005, K=0.246, t₀= –0.76; 雄性: L_∞=145.254, K=0.181, t₀= –0.66。生长拐点是雌性3.607龄对应的体长和体重分别为70.46 mm和24.72 g, 雄性5.619龄对应的体长和体重分别为98.64 mm和73.53 g。研究结果表明雌性为匀速生长, 雄性为异速生长; 雄性麦穗鱼比雌性麦穗鱼的生长速度快。     

TIME RELATIONS OF GROWTH : II. THE EQUIVALENCE OF AGE IN MAMMALS ESTIMATED ON THE BASIS OF THEIR GROWTH CONSTANTS.

The numerical values of the growth constants given in the preceding paper of this series are utilized for determining equivalence of growth age and growth weight in several animal forms. The results are presented in the form of two age-equivalence tables and fifteen age-equivalence and weight-equivalence charts.     

哈萨克族中小学生体质发育资料及身体发育指数分析

本文报告了新疆阿勒泰地区7—18岁哈萨克族中小学生体质发育的调查结果。重点分析3456名城镇哈萨克族学生的体质发育资料。体质发育调查指标包括身高、体重、胸围、坐高、肩宽、骨盆宽六项,其增长幅度及变异度皆以体重为大。哈萨克族学生的身高不论男女,在多数年龄组小于国内同龄汉族学生,而体重则多数年龄组大于国内同龄汉族。本文还分析了哈萨克族学生的六项身体发育指数。     

THE GROWTH AND RESPIRATION OF THE AVENA COLEOPTILE

1. Transport of the plant growth hormone into the Avena coleoptile as well as the action of the hormone on cell elongation in the coleoptile are shown to depend upon aerobic metabolism. 2. Crystalline auxine, in contrast with impure preparations, affects neither the magnitude nor the respiratory quotient of coleoptile respiration. 3. Increasing age of the coleoptile cell decreases its rate of elongation much more than its rate of respiration. HCN or phenylurethane on the other hand decrease the two processes to the same extent, in spite of the fact that only a small portion of the energy liberated by respiration can be used in the mechanical process of growth. 4. From 2 and 3 it is concluded that processes of a respiratory nature but of relatively small magnitude form one or more integral steps in the chain of reactions by which the plant growth hormone brings about cell elongation.     

江豚的年龄鉴定、生长和生殖的研究

本文根据在长江中下游,长江口和中国东北沿海收到的68头江豚标本,对江豚年龄鉴定的方法作了摸索和研究。从年龄,生长和生殖的角度系统分析了江豚的一些种群生物学特征。江豚年龄与生长的关系在一定范围内遵循的幂函数型式。4-5龄以前,江豚的生长迅速,此后减慢。江豚首次性成熟年龄雌性4龄,雄性4.5龄。性成熟时体长雌性133cm,雄性140cm。根据16头胎儿资料,用对数分割法反推出江豚的交配期较长,并有两个可能的交配高峰,分娩的高峰为2-4月。断奶年龄约为0.5龄。粗略估算长江江豚的年生殖率为20％。长江的江豚和中国沿海的江豚在形态和种群结构上各具特点。从江豚的年龄组成看出,幼龄组(0-4龄)的比例较大,结构基本正常。