TY - JOUR

T1 - Introducing viewpoints of mechanics into basic growth analysis - (VI) some solutions to a simple differential equation associated with growth mechanics

AU - Shimojo, Masataka

AU - Asano, Yoki

AU - Ishiwaka, Reiko

AU - Sato, Hiroyuki

AU - Nakano, Yutaka

AU - Tobisa, Manabu

AU - Ohba, Noriko

AU - Eguchi, Minako

AU - Masuda, Yasuhisa

PY - 2007/10/1

Y1 - 2007/10/1

N2 - The present study was designed to investigate some solutions to a simple differential equation associated with growth mechanics and whether they were related under some concept. The results obtained were as follows. Some solutions to the simple differential equation for ruminant agriculture were: (1) a function for the growth of a forage plant or a ruminant animal, (2) a function for the light attenuation in forage plant canopy, (3) a function for the degradable residue of forage protein in the rumen, (4) a function suggesting field-forage-ruminant relationships through matter circulation, (5) a function for spirals topologically similar to micro- and macro-structures of forages or ruminants. Other solutions in the field of physics that might be related to ruminant agriculture through the energy issue were: (6) a function for the mass-energy relation applying to a forage plant or a ruminant animal, (7) a function for the wave including energy that was a solution to partial differential equations replacing but corresponding to the ordinary differential equation, (8) a function for the exponential expansion of the space with almost constant density of energy. It was suggested that some solutions to a simple differential equation associated with growth mechanics ranged from some aspects of ruminant agriculture to energy issues of physics, provided that they were described using exponential functions with base e.

AB - The present study was designed to investigate some solutions to a simple differential equation associated with growth mechanics and whether they were related under some concept. The results obtained were as follows. Some solutions to the simple differential equation for ruminant agriculture were: (1) a function for the growth of a forage plant or a ruminant animal, (2) a function for the light attenuation in forage plant canopy, (3) a function for the degradable residue of forage protein in the rumen, (4) a function suggesting field-forage-ruminant relationships through matter circulation, (5) a function for spirals topologically similar to micro- and macro-structures of forages or ruminants. Other solutions in the field of physics that might be related to ruminant agriculture through the energy issue were: (6) a function for the mass-energy relation applying to a forage plant or a ruminant animal, (7) a function for the wave including energy that was a solution to partial differential equations replacing but corresponding to the ordinary differential equation, (8) a function for the exponential expansion of the space with almost constant density of energy. It was suggested that some solutions to a simple differential equation associated with growth mechanics ranged from some aspects of ruminant agriculture to energy issues of physics, provided that they were described using exponential functions with base e.

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M3 - Article

AN - SCOPUS:36148955789

VL - 52

SP - 361

EP - 365

JO - Journal of the Faculty of Agriculture, Kyushu University

JF - Journal of the Faculty of Agriculture, Kyushu University

SN - 0023-6152

IS - 2

ER -