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80) With regard to the proposed model, the order, within the interval mentioned, that resulted in the best fit to the data was used in a further investigation into the prediction capability of the model.
2015 Mathematical medicine and biology : a journal of the IMA
* A proposed fractional-order Gompertz model and its application to tumour growth data.
- A fractional-order Gompertz model of orders between 0 and 2 is proposed. The main purpose of this investigation is to determine whether the ordinary or proposed fractional Gompertz model would best fit our experimental dataset. The solutions for the proposed model are obtained using fundamental concepts from fractional calculus. The closed-form equations of both the proposed model and the ordinary Gompertz model are calibrated using an experimental dataset containing tumour growth volumes of a Rhabdomyosarcoma tumour in a mouse. With regard to the proposed model, the order, within the interval mentioned, that resulted in the best fit to the data was used in a further investigation into the prediction capability of the model. This was compared to the prediction capability of the ordinary Gompertz model. The result of the investigation was that a fractional-order Gompertz model of order 0.68 produced a better fit to our experimental dataset than the well-known ordinary Gompertz model.
=>1.さらにずっと, さらに先に, 一層遠く, その上, 更に, もっと遠い, なお一層の, さらに遠く,
もっと先に, いっそうはるかに, さらにまた, さらになお(furthermore), 2.進める, 助成する, 促進する
Overview of verb further
The verb further has 2 senses (first 2 from tagged texts)
1. (7) foster, further -- (promote the growth of; "Foster our children's well-being and education")
2. (2) promote, advance, boost, further, encourage -- (contribute to the progress or growth of; "I
am promoting the use of computers in the classroom")
Overview of adj further
The adj further has 1 sense (first 1 from tagged texts)
1. (2) further, farther -- (more distant in especially degree; "nothing could be further from the
truth"; "further from our expectations"; "farther from the truth"; "farther from our expectations")
Overview of adv further
The adv further has 3 senses (first 3 from tagged texts)
1. (33) further, farther -- (to or at a greater extent or degree or a more advanced stage (`further'
is used more often than `farther' in this abstract sense); "further complicated by uncertainty about
the future"; "let's not discuss it further"; "nothing could be further from the truth"; "they are
further along in their research than we expected"; "the application of the law was extended
farther"; "he is going no farther in his studies")
2. (10) further -- (in addition or furthermore; "if we further suppose"; "stated further that he
would not cooperate with them"; "they are definitely coming; further, they should be here already")
3. (1) farther, further -- (to or at a greater distance in time or space (`farther' is used more
frequently than `further' in this physical sense); "farther north"; "moved farther away"; "farther
down the corridor"; "the practice may go back still farther to the Druids"; "went only three miles
further"; "further in the future")
Overview of adv far
The adv far has 5 senses (first 4 from tagged texts)
1. (61) far -- (to a considerable degree; very much; "a far far better thing that I do"; "felt far
worse than yesterday"; "eyes far too close together")
2. (39) far -- (at or to or from a great distance in space; "he traveled far"; "strayed far from
home"; "sat far away from each other")
3. (22) far -- (at or to a certain point or degree; "I can only go so far before I have to give up";
"how far can we get with this kind of argument?")
4. (3) far -- (remote in time; "if we could see far into the future"; "all that happened far in the
past")
5. far -- (to an advanced stage or point; "a young man who will go very far")
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