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Velocity and Position by Integral Method01:13

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If acceleration as a function of time is known, then velocity and position functions can be derived using integral calculus. For constant acceleration, the integral equations refer to the first and second kinematic equations for velocity and position functions, respectively.
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A proteome is the entire set of proteins that a cell type produces. We can study proteomes using the knowledge of genomes because genes code for mRNAs, and the mRNAs encode proteins. Although mRNA analysis is a step in the right direction, not all mRNAs are translated into proteins.
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Integration by parts is a fundamental technique in calculus for evaluating integrals involving the product of two functions. It is particularly useful when direct integration is not feasible. The method is based on the product rule for differentiation, which states that the derivative of a product equals the derivative of the first function times the second, plus the first function times the derivative of the second. By integrating this identity and rearranging terms, the integration by parts...
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Integration by Parts: Definite Integrals01:23

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Definite integrals involving the product of two functions over a fixed interval can be evaluated using integration by parts. This method rewrites the integral as the difference of a product evaluated at the endpoints and a remaining definite integral that is often simpler to compute.A representative example is the definite integral of the inverse tangent function. Since there is no direct integration formula for arctan ⁡x, the integrand is rewritten as a product of arctan⁡ x and the...
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Consider a real-valued function defined on a closed interval. One of the fundamental objectives in calculus is to determine the area under the graph of such a function. When an exact computation is not readily available, this area can be estimated by dividing the interval into a finite number of equal subintervals. Each subinterval corresponds to a rectangle whose width is the length of the subinterval and whose height is determined by the value of the function at a selected point within that...
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シングルオミクスに統合された単一細胞エピゲノミクスおよびプロテオミクス法

Haiyue Bi1,2, Xiaocheng Weng1,2

  • 1Department of Clinical Laboratory, Center for Gene Diagnosis, and Program of Clinical Laboratory Medicine, Zhongnan Hospital of Wuhan University, Wuhan 430071, China.

Fundamental research
|January 30, 2026
PubMed
まとめ

シングルセルマルチオミクスは、ゲノム、エピゲノム、プロテオームデータを統合して、細胞の不均一性と調節ネットワークを明らかにする。これらの高度な技術は、細胞機能、発生、疾患状態に関する新たな洞察を提供する。

キーワード:
細胞の不均一性エピゲノムマルチモーダルオミクスプロテオームシングルセルマルチオミクストランスクリプトミクス

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科学分野:

  • 単一細胞生物学
  • マルチオミクス解析
  • ゲノミクスとエピゲノミクス

背景:

  • 細胞の不均一性は、生物学的プロセスの理解にとって重要である。
  • 単一細胞解析は、細胞メカニズムに関する高解像度の洞察を提供する。
  • マルチモーダル単一細胞技術は、複雑な生物学的システムを解読するために不可欠である。

研究 の 目的:

  • マルチオミクス用の単一細胞分離技術をレビューする。
  • 単一細胞解像度でのエピジェネティクスと遺伝子発現を組み合わせた方法を議論する。
  • 単一細胞におけるタンパク質とトランスクリプトームの同時解析を探求する。

主な方法:

  • 単一細胞分離技術。
  • マルチオミクスデータ統合（ゲノミクス、エピゲノミクス、トランスクリプトミクス、プロテオミクス）。
  • DNAメチル化、クロマチンアクセシビリティ、ヒストン修飾、タンパク質発現の解析。

主要な成果:

  • 細胞亜集団と発生経路の同定。
  • 遺伝子調節ネットワークと細胞表現型の解明。
  • 細胞間コミュニケーションの理解向上。

結論:

  • シングルセルマルチオミクスは、細胞の不均一性を研究するための強力なツールである。
  • マルチモーダル単一細胞技術の進歩は、生物学的発見にとって極めて重要である。
  • この分野は、将来の研究にとって重要な課題と機会をもたらす。