∫ f(x)dx ∇²u = 0 IJPACM

International Journal of Pure, Applied and Computational Mathematics (IJPACM)

e-ISSN: 2348-0084 • CC BY 4.0

CC BY 4.0 p-ISSN: 2348-0076 • e-ISSN: 2348-0084 DOI: 10.5555

Pioneering Research in Pure, Applied & Computational Mathematics

International Journal of Pure, Applied and Computational Mathematics (IJPACM) is a peer-reviewed, open-access scholarly periodical dedicated to publishing groundbreaking theoretical proofs, high-performance algorithms, and mathematical modeling.

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IJPACM Vol 1

Volume 1, Issue 2 (Current Issue - Summer 2026)

June 2026

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3 Articles
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CC BY 4.0 Open Access
Computational Mathematics & Numerical Analysis Vol 1, Issue 2 (2026)
DOI: 10.5555/ijpacm.2026.1.2.02

Evaluating Neural Implicit Representations for High-Resolution Cryo-EM Reconstruction

Continuous Volume Field Recovery Beyond the Nyquist Limit

Authors: Reviewer User Prof. Kenji Takahashi

Cryogenic electron microscopy (Cryo-EM) is hindered by severe signal-to-noise attenuation and conformational heterogeneity in macromolecular complexes. We formulate Cryo-NeRF, a coordinate-based continuous neural field parameterized by Fourier feature embeddings and coordinate-aware volume rendering that jointly refines 3D voxel density and pose orientation angles. Evaluations on benchmark ribosome datasets (EMPIAR-10028) reveal resolution improvements from 2.9Å to 2.1Å without requiring discrete conformational binning. Neural implicit representations provide a differentiable, bias-free pathway for atomic-level macromolecular modeling directly from noisy micrograph projections.

Cryo-EM Neural Implicit Fields Continuous Optimization
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Journal Focus Areas

  • Applied Mathematics & Modeling: Mathematical formulations, differential equations, dynamical systems, and modeling in engineering and natural sciences.
  • Computational Mathematics & Numerical Analysis: Novel numerical algorithms, finite element methods, high-performance parallel solvers, and tensor decompositions.
  • Discrete Mathematics & Cryptography: Combinatorics, graph algorithms, lattice cryptography, and quantum computational foundations.
  • Pure Mathematics & Modern Algebra: Original research articles establishing rigorous mathematical theorems, abstract algebraic structures, topology, and functional analysis.
Call For Papers / Announcement

Call for Papers: Volume 2, Issue 1 (2026). Submissions are currently open for peer review in Theoretical Proofs, Computational Fluid Dynamics, and Quantum Cryptography.

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